2015 Bull Mock CAT - 18

(1)

2015 Bull Mock CAT - 18

A) 5 B) 6 C) 7 D) 8

A) B) C) D)

DIRECTIONS for the question: Solve the following question and mark the best possible option. Question No. : 1

Avanti and Avani start playing a game in which the one who wins gets W points and the loser gets L points (W > L > 0), ties are not possible and all scores are integral. After some games, Avanti scored 30 and Avani 25. If Avani has won exactly two games, the value of W, is

Explanation:-

As Avanti's + Avani's score is 55, which must be an integral multiple of W+L. The 4 possibilities are W+L = 1, W+L = 5, W+L = 55 or W+L = 11

Possibility 1:W+L = 55; which is impossible, because Avanti and Avani played at least 2 rounds. Possibility 2: W+L = 1, which is impossible, since W and L are positive.

Possibility 3 : W+L = 5, then (W,L) is either (4,1) or (3,2), since W > L > 0 and the number of rounds must have been 11. But with 2 wins, Avani would have a score of either 2(4) + 9(1) = 17

Or 2(3) + 9(2) = 24, which are impossible, since Avani's score is 25. ∴W+L = 11, and the number of rounds was 5

Thus, (W+L) is either (10,1), (9, 2), (8,3) (7,4) or (6,5).

The only choice for which 2W + 3L = 25 is (W,L) = (8,3). Therefore, the winner of each round gets 8 points, the loser 3 points and they played 5 rounds.

Question No. : 2

A thief has stolen a credit card and wishes to withdraw some money from ATM. Unfortunately he could not remember the four-digit PIN number written on a paper slip, which he had seen while stealing the card. He does remember the first two four-digits and he knows that each of the last two digits is greater than 5. The ATM will allow him three tries before it blocks further access. If he randomly guesses the last two digits, then what is the probability that he will be able to withdraw money from the ATM?

Explanation:-

Randomly guessing either of the last two digits not affecting the choice of the other means that these events are mutually exclusive. Since each of the last two digits is greater than 5, the thief has four digits to choose from: 6,7,8,9. His chance of guessing the first digit correctly is 1/4 and that for the second digit is also 1/4. His chance of guessing both the digits correctly is

Question No. : 3

ABCDE is a pentagon with A = (0,2), B = (4,0), C = (2π + 1, 0), D = (2π + 1, 4) and E = (0, 4). Point P is selected at random from the interior of this pentagon. What is the probability that ∠APB is obtuse?

Explanation:-

If P is selected on a semi-circle with AB as diameter, then ∠APB = 900_{. If P is selected from the interior of semi-circle with AB as} diameter, then ∠APB will be obtuse. Now, A(ABCDE) = A(OCDE)

(2)

A) 30 B) 60 C) D)

A) B) C) D)

Question No. : 4

A truck is to be driven 300km on a highway at a constant speed of x kmph. Speed rules of the highway require that 30 ≤ x ≤ 60. The fuel costs Rs. 10 per litre and is consumed at the rate of litres / hour. The wages of the driver are Rs. 200 per hour. The most economical speed to drive the truck, in kmph, is

Explanation:-

Given: Distance to be, covered by the truck = 300 km.

Constant speed = x kmph (where 30 ≤ x ≤ 60). Cost of fuel = Rs. 10 / litre Wage of driver = Rs. 200 / hour

By the above information, we can frame the cost expression for the journey as Traveling time × (cost of fuel + wager of the driver)

Now as cost is least at 60, so option 2. Question No. : 5

Player A has n+1 coins, while player B has n coins (n > 3). Both players throw all of their coins simultaneously and observe the number of heads. If all coins are fair, then what is the probability that A obtains more heads than B?

Explanation:-

Answer will be same whatever the value of n be. Let us assume player A has 3 coins and player B has 2 coins. Now, if A has all 3 heads B will have either 2 heads or 1 head or no heads, if A has 2 heads B will have either 1 head or no head and if A has 1 head then B will have no heads.

Hence the probability that A obtains more heads than B.

= P_A (all 3 heads) [P_B (2 heads) + P_B(1 head) + P_B(no heads)]+P_A (2 heads) [P_B (1 head) + P_B(no heads)] + P_A(1 head) [ P_B (no heads)]

(3)

A) 1 B) C) D)

A) 48 B) 24 C) 18 D) None of these

A) 14th_{September B) 16}th_{April C) 16}th_September _D) 14th_April

Similarly this can be checked for other values of A = n+1 and B = n coins, and the same result will be obtained.

Question No. : 6

The lengths of the sides of a right-angled triangle are in geometric progression. What is the ratio of the sines of its acute angles?

Explanation:-

Question No. : 7

For an odd positive integer n, satisfying 51 ≤ n ≤ 99, the quantity n3 – n is always divisible by

Explanation:-

n2_{-n = n(n}2_{- 1) = (n – 1)n (n + 1)}

We can observe that the given quantity is the product of three consecutive numbers. One of these three numbers (n – 1), n, or (n + 1) will be divisible by 3. Since x is an odd integer, one of (n – 1) or (n + 1) will be divisible by 2 and the other by 4.

Therefore n3 – n is always divisible by 2 × 4 × 3, which is 24.

Question No. : 8

For a particular day of the year, it happens that the sum of the date and square root of the month gives the square of the month. What is the date?

(4)

A) 157 B) 142 C) 143 D) Data inadequate

A) B) C) D) None of these

A) Ajay and Chandu B) Balram C) Chandu D) Ajay

Hence 4th option is the answer. Question No. : 9

A series in which any term is equal to the sum of the preceding two terms is called a Fibonacci series. Usually the first two terms are given initially and together they determine the entire series. Now, it is known that the difference of the squares of the ninth and the eighth terms of a Fibonacci series is 840. What is the 12th term of that series?

Explanation:-

As there are more than 1 cases, the answer is 4th option. Question No. : 10

Explanation:-

Question No. : 11

(5)

A) 14.5 % more B) 17% more C) 14.5% less D) 17% less Question No. : 12

The total no. of holdings of AP & UP together is what percent more or less than the total no. of holdings of BH & RJ together?

(6)

A) 3.11 B) 1.98 C) 2.77 D) 3.56 Question No. : 13

If in 1990-91, the total no. of holdings for KR has increased by 12% from the 1980-81 and the area of holding has decreased by 15% from 1980-81, find the approx. average size of holding for KR in 1980-81 ?

Explanation:-

(7)

A) 119.67 B) 127.23 C) 83.56 D) Cannot be determined

It has been estimated that the total no. of holdings will increase by 25% for MP in 2000-01 from 1990-91 levels. The average size of holding for MP in 2000-01 will be what % of the average size of holding for MP in 1990-91.

Explanation:-

Since the area of operational holding in 2000-01 is not given for MP, we cannot find the answer. Question No. : 15

Each coefficient in the equation ax2 + bx + c = 0 is determined by throwing an ordinary die. Find the probability that the equation will have equal roots.

Explanation:-

(8)

A) B) C) D)

A) 12 B) 2 C) 3 D) 4

If (1 – x + x2)n = a₀ + a₁x + a₂x2+---+a_2n x2n, then a₀ + a₂ + a₄ + ----+a_2n is equal to

Explanation:-

We have (1-x+x2)n = a₀+a₁ x+a₂x2 + ... a_2nx2n put x = 1 and -1, we get,

1 =a₀ + a₁ +a₂ + ...+a_2n ... (2)

And 3n = a₀ - a₁ + a₂ - a₃ + ... + a_2n ....(3) Adding (2) and (3), we get

1+ 3n = 2(a₀ + a₂ + a_n ... + a_2n) ⇒ a0 + a2 + an + ...+ a2n = 3n + 1/ 2

Question No. : 17

The angle between hour hand and minute hand is exactly 10. The time is an integral number ‘n’ of minutes after noon (0 < n < 720). Find the total possible values of n.

Explanation:-

minute hand is one degree ahead of the hour hand. We need to find the integral values of these times. For the first condition, we get k = 7 and n = 458 and for the second condition, we get k = 4 and n = 262. Therefore we have two integral values of n below 720.

Question No. : 18

The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angle 30° with the longer side, then the length of the longer diagonal is.

(9)

A) 14 hours B) 17 hours C) 20 hours D) 25 hours

A) 0.0875 B) 0.06875 C) 0.0625 D) 0.875 Question No. : 19

Ajit can work for three hours nonstop but then needs to rest for half an hour. His sister can work for two hours but rests for 15 minutes after that, while his brother can work for 1 hour before resting for half an hour. If a work takes 50 man hours to get completed and they all start together, then approximately, how long will it take for the three to complete the work? Assume that all of them are equally skilled in their work.

Explanation:-

Ajit does 3 man hours in every 3.5 hours (because he takes rest for half an hour on the 4th_hour. In 20 hours (3.5 × 5 + 2.5), Ajit completes 3 × 5 + 2.5 = 17.5 man hours.

His sister completes 2 man hours every 2.25 hours (because she rests on the 3rd hour). In 20 hours (2.25 × 8 + 2) she completes 2 × 8 + 2 = 18 man hours.

His brother completes 1 man hour every 1.5 hour.

In 20 hours (1.5 × 13 + 0.5), he completes 1 × 13 + 0.5 = 13.5 man hours. So the total work done = 17.5 + 18 + 13.5 = 49 man hours

Hence the work can be completed in approximately 20 hours.

Question No. : 20

India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.5 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is

Explanation:-

A total of at least seven points can be made as follows (2,2,2,2) or (1,2,2,2) or (2,1,2,2) or (2,2,1,2) or (2,2,2,1).

Now P(2 points in all matches) = (0.5)4 and P(2 points in any three matches and 1 point in remaining match) = 4 × (0.5)3 × 0.05. Hence the required probability is (0.5)4 + 4 × (0.5)3 × 0.5 = 0.08750

Question No. : 21

World’s Most Valuable Brand

Rank Brand BrandValue ($b) 1-Yr Value Change (%) Brand Revenue ($b) Industry 1. Apple 104.3 22 156.5 Technology 2. Microsoft 56.7 14 77.8 Technology 3. Coca-Cola 54.9 9 23.5 Beverages 4. IBM 50.7 2 104.5 Technology 5. Google 47.3 26 43.5 Technology 6. McDonald’s 39.4 5 88.3 Restaurants 7. General Electric 34.2 2 132.1 Diversified 8. Intel 30.9 -4 53.5 Technology 9. Samsung 29.5 -5 200.0 Technology 10. Louis Vuitton 28.4 16 9.4 Luxury 11. BMW 27.9 6 77.6 Automotive 12. Cisco 27.0 3 48.6 Technology

(10)

A) Microsoft B) Coca Cola C) Apple D) IBM

A) Apple B) Samsung C) Toyota D) Coca Cola

13. Oracle 26.9 4 37.2 Technology

14. Toyota 25.6 3 186.6 Automotive

15. AT&T 24.2 0 126.4 Telecom

Which was the second most valuable company in terms of the brand value, one year before?

Explanation:-

Brand value of the companies one year before was (i) Microsoft = 49.73$b

(ii) Coco Cola = 50.37$b (iii) Apple = 85.49$b (iv) IBM = 49.70$b

So the coca cola was second most valuable company in terms of the brand value.

Question No. : 22

Rank Brand BrandValue ($b) 1-Yr Value Change (%) Brand Revenue ($b) Industry 1. Apple 104.3 22 156.5 Technology 2. Microsoft 56.7 14 77.8 Technology 3. Coca-Cola 54.9 9 23.5 Beverages 4. IBM 50.7 2 104.5 Technology 5. Google 47.3 26 43.5 Technology 6. McDonald’s 39.4 5 88.3 Restaurants

7. General_Electric 34.2 2 132.1 Diversified

8. Intel 30.9 -4 53.5 Technology

9. Samsung 29.5 -5 200.0 Technology

10. _VuittonLouis 28.4 16 9.4 Luxury

11. BMW 27.9 6 77.6 Automotive

12. Cisco 27.0 3 48.6 Technology

13. Oracle 26.9 4 37.2 Technology

14. Toyota 25.6 3 186.6 Automotive

15. AT&T 24.2 0 126.4 Telecom

If the % age change in Brand revenue for the next year is same as the % age change in Brand value this year, then which would be the 3rd largest company in terms of Brand Revenue next year?

Explanation:-

Brand Revenue of Companies after one year will be Apple =156.5×1.22=190.93$b

Samsung=200×0.95=190$b Toyota=186.6×1.03=192.2$b Coca Cola=23.5×1.09=25.61$b

So the Samsung will be the third largest company in terms of the brand revenue. (If we calculate the brand revenue of other companies then it will not exceed Samsung, Apple or Toyota as their brand revenue is already lesser than Samsung, Apple or Toyota this year)

(11)

A) 7.41% B) 13.48% C) 9.23% D) 14.33%

A) B) C) D)

Question No. : 23

Rank Brand BrandValue ($b) 1-Yr Value Change (%) Brand Revenue ($b) Industry 1. Apple 104.3 22 156.5 Technology 2. Microsoft 56.7 14 77.8 Technology 3. Coca-Cola 54.9 9 23.5 Beverages 4. IBM 50.7 2 104.5 Technology 5. Google 47.3 26 43.5 Technology 6. McDonald’s 39.4 5 88.3 Restaurants 7. General Electric 34.2 2 132.1 Diversified 8. Intel 30.9 -4 53.5 Technology 9. Samsung 29.5 -5 200.0 Technology 10. Louis Vuitton 28.4 16 9.4 Luxury 11. BMW 27.9 6 77.6 Automotive 12. Cisco 27.0 3 48.6 Technology 13. Oracle 26.9 4 37.2 Technology 14. Toyota 25.6 3 186.6 Automotive 15. AT&T 24.2 0 126.4 Telecom

The total Brand value of automotive industry is what percent of total Brand revenue of Technology Sector?

Explanation:-

Question No. : 24

Explanation:-

Factorizing numerator and denominator, we have k3_{- 1 = (k-1)(k}2_{+k+1) and k}3_{+ 1 = (k+1)(k}2_-k+1)

Note that, (k + 1)2 - (k+1)+1= k2+k+1, and so k3+1 = (k+1)[(k+1)2 - (k+1) +1] We can now calculate P_n1 the partial product of the first n-1 terms.

As n→ ∞, P_n → 2/3. That is, the infinite product, P, converges to 2/3; P = P∞ = 2/3.

Question No. : 25

Suppose the height of a pyramid with a square base is decreased by p% and the lengths of the sides of its square base increased by p%(where p > 0). If the volume remains the same, then

(12)

A) 50 < p <55 B) 55 < p <60 C) 60 < p <65 D) 65 < p <70 A) 60 B) 80 C) 90 D) 120 A) 152 B) 153 C) 154 D) 155 A) 2 : 1 B) 4 : 3 C) 4 : 5 D) 8 : 7 Explanation:- So option (c) is answer Question No. : 26

In a rectangle ABCD, points X and Y are the midpoints of AD and DC, respectively. Lines BX and CD when extended intersect at E, lines BY and AD when extended intersect at F. If the area of ABCD is 60, then the area of BEF is

Explanation:-

Question No. : 27

Explanation:-

⇒ u + v + w = 7; uv + vw + wu = 9; uvw = 1

Required value is u3 + v3 + w3 – 3uvw = (u + v + w) (u2 + v2 + w2 – uv – vw – wu) = (u + v + w) [(u + v + w)2 – 3(uv + vw + wu)] = 7(72 – 3 × 9) = 7[49 – 27] = 7(22)=154

Question No. : 28

(13)

A) 3 : 1 B) 11 : 4 C) 6 : 5 D) 7 : 4 Explanation:-

So, required ratio is 2:1. So, option (a) is the answer

Question No. : 29

The angle bisectors BD and CE of a triangle ABC are divided by the incentre in the ratios 3: 2 and 2: 1 respectively. Then the ratio in which I divided the angle bisector through A is

Explanation:-

In this question majorly we shall be using angle bisector property, which states as that angle bisector divides the opposite side in the same ratio as that of sides containing the angle.

On combining ratios we can find DC: BC: BE DC = 4k, BC = 6k, BE = 3k

Let AE = m, AD = n Then in ABC

(14)

A) 29% B) 174% C) 34% D) 22%

A) 2.41% B) 3.78% C) 1.39% D) 1.73% So option (b) is answer.

Question No. : 30

Coffee exports from India have registered a 29 per cent rise in the first two months of the current crop year (October 2013 to September 2014). The country exported 39,800 tonnes of coffee in October and November this year, compared to 30,859 tonnes during the year ago period.

The rise is significant as the previous coffee year (October 2012-September 2013) have seen an overall decline of 5.24 per cent to 299,582 tonnes.

In dollar terms, Indian exporters have earned $100 million in the two months against $92.86 million in a year ago period. In rupee terms, the exporters have earned Rs 620.53 crore against Rs 499.76 crore in the same period last year. The unit value per tonne has dropped from Rs 1.62 lakh to Rs 1.56 lakh between October and November, a drop of 3.8 percent.

If the average exports per month remain as these two months for both the years, what will be the %age increase in annual export from 2012-13 to 2013-14?

Explanation:-

Question No. : 31

If the growth in exports from Oct 2012-Sept 2013 to Oct 2013-Sep2014 is 7%, then what is the % age change in exports from Oct 2011-Sept 2012 to Oct 2013-Sept 2014.

Explanation:-

(15)

A) 4853 crore B) 4673 crore C) 4763 crore D) cannot be determined

A) n B) n2 _C) _D) 0

A) B) C) D)

A) 2 : 3 B) 4 : 3 C) 2 : 9 D) Cannot be determined

What is the approximate value of exports during the period Oct 2012- Sept 2013?

Explanation:-

Since the unit value for the whole year is not given, we cannot find the total value of exports.

Question No. : 33

If the roots of the equation xn – 1 = 0 are 1, a₁, a₂, a₃___a_n-1, then the value of (1 – a₁) (1 – a₂) (1 – a₃) (1 – a_n) will be

Explanation:-

Here 1, a1, a2 ... an-1 are roots of xn-1 = 0 ⇒ xn -1 = (x-1) (x-a1) (x-a2) ... (x - an-1)

Question No. : 34

The sum of the series 1 + 2x + 3x2 + 4x3 + ----up to ∞, when x lies between 0 and 1 is

Explanation:-

Let s = 1 + 2x + 3x2 + 4x3 = --- ∞ ...(1) ⇒ x S = x + 2x2_{+ 3x}3_{+ 4x}4_{--- ∞ ...(2)}

Subtracting (2) from (1) we get (1-x) S = 1 + x + x2 + x3 + --- ∞ ⇒ (1 -x) S = 1/1-x ⇒ S = 1/(1-x)2

Question No. : 35

If two geometric progressions have sum of their first n terms in the ratio 4(2n_{-1) : 3}n_{-1, and n>3 then the common ratio of the} two progressions will be in the ratio

(16)

A) I and II only B) II and III only C) I and III only D) I, II and III

A) B) C) D)

Question No. : 36

A boat moves at a speed of 12 kmph in still water. It has to travel a distance of 60 km from P to Q, downstream. By the time the boat reached a point R, at 1/3rd distance from P, the speed of the current suddenly doubled. As a result, the boat reached half an hour earlier than it would normally. Which of the following could be the original speed of the stream?

I. 4 kmph II. 6 kmph III. 18 kmph

Explanation:-

Speed of boat in still water =12 kmph, the Speed of current = x kmph and the distance between P & Q be = 60 km. Let R be the point at 1/3rd of distance of PQ = 1/3 × 60 = 20. Hence RQ = 60 – 20 = 40.

Given that [40 / (12 + x)] - [40 / (12 + 2x)] = 1/ 2 Taking LCM: 40 [(12 + 2x – 12 – x) / (12+x) (12+2x)] = ½ ⇒ 80 (x) = 144 + 36x + 2x2

Taking 2 common from both sides we get: x2 _{- 22x + 72 = 0 ⇒ (x - 18 )( x - 4 ) = 0}

Hence the speed of stream can be 18 or 4. So I and III are correct Hence option 3 is the answer Question No. : 37

If two points are selected at random on a straight line of length 60m, then the probability that the distance between them does not exceed 20 m is

Explanation:-

Let P & Q be the two points taken on a straight line, say MN

Let MP = x and MQ = y. Then 0 < x, y < 60

(17)

A) 50 B) 100 C) 150 D) 200

A) 110.7 B) 748.0 C) 146.2 D) 193.6 It is asked to find P{|x - y| < 20}.

Now, |x - y| < 20

⇒ x - y < 20 or - (x - y) < 20 i.e. x – y < 20 or x - y > -20 ∴The shaded region in the figure is the required region ∴P(|x - y| < 20)

= [Ar. (OBDF) - Ar. (ABC) - Ar. (FGE)]/Ar. (OBDF)

Question No. : 38

In a school that has 1000 students, 99% of the students play at least one game, 49% play at least two games 24% play at least three games, 14% play at least four games and only 4% play all the 5 games. There are five games played at the school. What is the sum of number of students who play exactly three games and who play exactly four games?

Explanation:-

The number of students who play exactly three games = students who play at least three games-students who play at least four games = 24% - 14% =10%.

The Number of students who play exactly four games = students who play at least four games - students who play all the five games = 14% - 4% = 10%.

∴The total number of students who play exactly three games and exactly four games = (10% + 10%) of 1000 = 20% of 1000 = 200.

Question No. : 39

Note: Assume imports to US from LCCs are only in the given sectors.

For example, in the above figure, the total US consumption in computer, Hardware and Electronics is $180 billion of which 40% is imported from LCCs. Also note that imports is the point at the top of the circle

India, an LCC, accounted for 20% of the total LCC exports to the US. What was the value of India's total exports to the US? (in billion $)

Explanation:-

Total LCC exports to US =10% of 400 + 15% of 1300 + 20% of 1600 + 40% of (180 + 260) = 40 + 195 + 320 + 176 = $.731 billion India's share = 20% of 731 = $146.2 billion

(18)

A) $260 billion B) $130 billion C) $91 billion D) None of the above Note: Assume imports to US from LCCs are only in the given sectors.

For example, in the above figure, the total US consumption in computer, Hardware and Electronics is $180 billion of which 40% is imported from LCCs. Also note that imports is the point at the top of the circle

If Iron accounted for 65% of the US consumption in the capital intensive sector, while aluminum contributed 20% of the rest, what was the value of the aluminum consumption in the US?

Explanation:-

Question No. : 41

Note: Assume imports to US from LCCs are only in the given sectors.

(19)

A) 17% B) 85% C) 75% D) Cannot be determined

A) 16.4 B) 20.5 C) 8.2 D) 41

A) B) C) D)

A) 1 B) 4 C) 0 D) None of these

imported from LCCs. Also note that imports is the point at the top of the circle US accounted for what percent of the total exports made by the LCCs?

Explanation:-

Cannot be determined as the total exports of LCC is not known. Question No. : 42

A piece of work can be done by 11 men and 16 boys in 2 days. The same work can be done by 5 men 11 boys in 4 days. In how many days can 1 man and 4 boys complete the same work?

Explanation:-

As(11 men + 16 boys) take 2 days ⇒(22 men + 32 boys) take 1 day → (1) Also, as (5 men + 11 boys) take 4 days→ (2) ⇒ (20 men + 44 boys) take 1 day ∴ 22 men + 32 boys = 20 men + 44 boys

hence 11 men and 16 boys work = 82 boys work and 1 man and 4 boys work = 10 boys work ∴ Time taken by 1 man and 4 boys to complete the work = 82×2/10 = 16.4 days

Question No. : 43

A jar contains 25 tokens printed with integers from 1 to 25 on each token. Ramu & Shyamu pick one token each simultaneously at random. What is the probability that they pick two consecutive integers?

Explanation:-

Question No. : 44

If sin x + sin2x = 1 then value of cos2x + cos4x is

Explanation:- sin x + sin2 x = 1

⇒ sin x = 1 – sin2_{x = cos}2_x Now cos2x + cos4x = sin x + sin2x = 1

(20)

A) Toy Story B) Bug's Life C) Shrek D) Finding Nemo

Assume all animation movies to be of 3-hour duration and that the production cost of an animation movie is proportional to the duration of the movie. All the animation movies mentioned above were produced in the US. Off shoring of the production to another country leads to a decrease in only the production costs of the movie while there is no change in the other expenses. Which of the given movies had the highest ratio of box office collections to budget?

Explanation:-

Only Finding Nemo has a ratio of greater than 8.

(21)

A) 33.4% B) 85.2% C) 45.3% D) 47.8%

Assume all animation movies to be of 3-hour duration and that the production cost of an animation movie is proportional to the duration of the movie. All the animation movies mentioned above were produced in the US. Off shoring of the production to another country leads to a decrease in only the production costs of the movie while there is no change in the other expenses. Had "Bug's Life" been produced in India, its total cost (budget) would have decreased by approximately

Explanation:-

Cost of Bug’s Life now = 4.5 million US dollars. Reduction in production costs = (400,000 – 60, 000) X 6 = 2040000.

Savings in percentage will be 100*2040000/4500000 = 45.3%

(22)

A) 7.2% B) 8.9% C) 10.5% D) 5.7%

A) HP B) GP C) AP D) None of these

Assume all animation movies to be of 3-hour duration and that the production cost of an animation movie is proportional to the duration of the movie. All the animation movies mentioned above were produced in the US. Off shoring of the production to another country leads to a decrease in only the production costs of the movie while there is no change in the other expenses. Had Monster's Inc been produced in Philippines, its profit (profit = 60% of box office collections - budget) would have increased by approximately

Explanation:-

Question No. : 48

Explanation:-

(23)

A) 227 B) 406 C) 454 D) 171

A) B) C) D)

The Kanyakumari Express travelling between Kanyakumari and Jammu Tawi halts at 12 stations in between its journey from Kanyakumari to Jammu Tawi and in its return journey it halts at 15 stations in between Jammu Tawi and Kanyakumari. The number of different second class tickets to be printed so as to serve the passengers travelling by this train is

Explanation:-

The number of different second class tackets to be printed = 14_C₂₊17_C₂_{= 91+ 136 = 227}

Question No. : 50

Explanation:-

Let the line through B, parallel to AQ intersect CP extended at N.

Alternate solution: Consider ÐB to be at the origin (0,0) so that A(0, 7), C(10,0), P(0,3) and Q(4, 0). The equation of AQ is y = (– 7/4)x + 7 and the equation of CP is (–3/10)x + 3. Solving these as simultaneous equations, we can get the coordinates of M as the values of x and y. So, M(80/29, 63/29).

Now, drop a perpendicular MR on to AB so that MR = 80/29, BR = 63/29 and PR = 24/29. Area DARM = ½ (4 + 24/29) × ? (80/29) and area DPRM = ½ (24/29) ×? (80/29).

Question No. : 51

A. But in September 1921, long before he was the most famous historian in the world, a young Englishman named Arnold Toynbee boarded the Orient Express in Constantinople, bound for London.

B. Human mastery of nature came at a price: in 1921, Europe’s battlefields were still cooling from the heat of industrial warfare and the blood of millions dead.

C. He was an expert in world civilisations who made the cover of Time magazine in 1947, praised for writing ‘the most provocative work of historical theory… since Karl Marx’s Capital’.

(24)

A) CAEBD B) DABCE C) EADBC D) CAEDB

A) 1 & 4 B) 1 & 3 C) 1, 2 & 4 D) 2, 3 & 4

A) DACEB B) BEACD C) BEDAC D) DACBE the risk that ‘the machine may run away with the pilot’.

E. Fresh from a nine-month posting as a war correspondent for The Manchester Guardian, Toynbee scribbled down reflections about the shadow side of progress in his notebook, while the Balkans passed silently outside his window.

Explanation:-

In the given case, statement C forms the indirect opening sentence of the paragraph. Statement C cannot be placed anywhere else as the other statements are all connected. Statement A follows statement C as it provides an alternate line of thought and

introduces details about the subject of the paragraph, Arnold Toynbee. Statement E then describes what Toynbee did and statements D and B then conclude the paragraph by providing a reference to the war. Remember that statements A and E form a pair as they are connected by the reference to the Orient Express.

Also, statement D follows statement E. In statement D, the reference is made to his observations, something he was scribbling down in statement E. These clues lead us to option 4.

Question No. : 52

1. Everyone has finished their lucid perusal of the draft presented by legal luminaries in the country to prevent cases of judicial misconduct.

2. The hallmark of a captain beyond reproach is his ability to remain rationale in most situations.

3. Highbrows often forget the need for practicality in delicate matters, and suggest academic solutions that find no connect with the sentiment of the general masses.

4. The company CEO, as well as his directors, are going to provide sane reasons for the lack of transparency in the decision making of the company.

Explanation:-

Sentence 1: Everyone is singular pronoun, and the correct sentence would be ‘Everyone has finished his or her lucid perusal of the draft …...’

Sentence 2: The sentence requires the adjective rational and not the noun rationale.

Sentence 4: The correct sentence is ‘The company CEO, as well as his directors, is going to provide sane reasons for the lack of transparency in the decision making of the company.’ The verb will be singular as the subject in this case as the primary subject of the sentence, ‘the company CEO’, is singular.

Question No. : 53

A. If man is doomed to wind cotton around a spool, or dig coal, or build roads for thirty years of his life, there can be no talk of wealth.

B. Strange to say, there are people who extol this deadening method of centralized production as the proudest achievement of our age.

C. What he gives to the world is only gray and hideous things, reflecting a dull and hideous existence — too weak to live, too cowardly to die.

D. Real wealth consists in things of utility and beauty, in things that help to create strong, beautiful bodies and surroundings inspiring to live in.

E. They do not want to know that centralization is not only the death-knell of liberty, but also of health and beauty, of art and science, all these being impossible in a clock-like, mechanical atmosphere.

Explanation:-

D and A, joined together, make for an ideal contrast. Note this in B, which refers to nothing but the toil of the man doomed to lead a life of drudgery, as discussed in C. Therefore B should follow C. They in E refers to the people already referred to in B.

Question No. : 54

Four students Tina, Tinu, Titu and Teja are ranked 1 to 4, on the basis of their performance in a class test. The following data is given about their ranks:

If Tina is ranked 1, then Tinu is not ranked 3. If Tinu is not ranked 1, then Teja is ranked 4.

(25)

A) Tinu B) Titu C) Tina D) Cannot be determined

A) Tinu B) Teja C) Titu D) Cannot be determined If Titu is not ranked 2, then Teja is ranked 2.

If Titu is ranked 3, then Teja is not ranked 2. If Teja is ranked 3, then Tina is not ranked 4.

Who is ranked 1 among the four students?

Explanation:-

From the 3rd statement it can be deduced that either Titu or Teja would be ranked 2.

Case 1: Titu is ranked 2.

If Tina is ranked 1 then Tinu is ranked 4 (by the 1st statement). But it is contradicted (by the 2nd statement). So Tina is not ranked 1.

By the 2nd Statement, If Tinu is not ranked 1, then Teja is ranked 4, Tinu is ranked 3 and Tina is ranked 1, which is not possible. So Tinu is definitely ranked 1. Teja can be ranked 3 but then Tina is ranked 4, which contradicts the 5th statement. So Teja is ranked 4 and Tina is ranked 3.

1 2 3 4

Tinu Titu Tina Teja

Case 2: Teja is ranked 2. As seen before Tina can’t get rank 1. So Tinu is ranked 1.

From the 4th statement Titu can’t be ranked 3 as in that case Teja can’t be ranked 2. So Titu is ranked 4 and Tina is ranked 3.

1 2 3 4

Tinu Teja Tina Titu

In both the cases Tinu is ranked 1. Question No. : 55

If Tina is ranked 1, then Tinu is not ranked 3. If Tinu is not ranked 1, then Teja is ranked 4. If Titu is not ranked 2, then Teja is ranked 2. If Titu is ranked 3, then Teja is not ranked 2. If Teja is ranked 3, then Tina is not ranked 4.

Who is ranked 4 among the four students?

Explanation:-

If Tina is ranked 1 then Tinu is ranked 4 (by the 1st statement). But it is contradicted (by the 2nd statement). So Tina is not ranked 1.

1 2 3 4

Tinu Titu Tina Teja

(26)

A) 2 B) 1 C) 0 D) 4 Tinu Teja Tina Titu

Titu and Teja both can ranked 4 . So the answer is cannot be determined. Question No. : 56

If Tina is ranked 1, then Tinu is not ranked 3. If Tinu is not ranked 1, then Teja is ranked 4. If Titu is not ranked 2, then Teja is ranked 2. If Titu is ranked 3, then Teja is not ranked 2. If Teja is ranked 3, then Tina is not ranked 4.

The ranks of how many of the four students can be determined?

Explanation:-

If Tina is ranked 1 then Tinu is ranked 4 (by the 1st_{statement). But it is contradicted (by the 2}nd_{statement). So Tina is not ranked} 1.

1 2 3 4

Tinu Titu Tina Teja

1 2 3 4

Tinu Teja Tina Titu

Hence Rank of 2 students can be determined.

Question No. : 57

Management knows it and so does Wall Street: The year-to-year viability of a company depends on its ability to innovate. Given today’s market expectations, global competitive pressures, and the extent and pace of structural change, this is truer than ever. But chief executives struggle to make the case to the Street that their managerial actions can be relied on to yield a stream of successful new offerings. Many admit to being unsure and frustrated. Typically they are aware of a tremendous amount of innovation going on inside their enterprises but don’t feel they have a grasp on all the dispersed initiatives. The pursuit of the new feels haphazard and episodic, and they suspect that the returns on the company’s total innovation investment are too low.

Making matters worse, executives tend to respond with dramatic interventions and vacillating strategies. Take the example of a consumer goods company we know. Attuned to the need to keep its brands fresh in retailers’ and consumers’ minds, it introduced frequent improvements and variations on its core offerings. Most of those earned their keep with respectable uptake by the market and decent margins. Over time, however, it became clear that all this product proliferation, while splitting the revenue pie into ever-smaller slices, wasn’t actually growing the pie. Eager to achieve a much higher return, management lurched toward a new strategy aimed at breakthrough product development—at transformational rather than incremental innovations.

Unfortunately, this company’s structure and processes were not set up to execute on that ambition; although it had the requisite capabilities for envisioning, developing, and market testing innovations close to its core, it neither recognized nor gained the very different capabilities needed to take a bolder path. Its most inventive ideas ended up being diluted beyond recognition, killed outright, or crushed under the weight of the enterprise. Before long the company retreated to what it knew best. Once again, little was ventured and little was gained—and the cycle repeated itself.

(27)

A) I & II B) II & IV C) III & IV D) None of these

We tell this story because it is typical of companies that have not yet learned to manage innovation strategically. It demonstrates an all-too-common contrast to the steady, above-average returns that can be achieved only through a well-balanced portfolio. The companies we’ve found to have the strongest innovation track records can articulate a clear innovation ambition; have struck the right balance of core, adjacent, and transformational initiatives across the enterprise; and have put in place the tools and capabilities to manage those various initiatives as parts of an integrated whole. Rather than hoping that their future will emerge from a collection of ad hoc, stand-alone efforts that compete with one another for time, money, attention, and prestige, they manage for “total innovation.”

Passage Source: Managing your Innovation, appeared in Harvard Business Review

According to the information given in the passage, identify the statements that will work better for the viability of the companies: I. Ad-hoc initiatives render the companies sticking to core-offerings.

II. Wall Street does not trust the managerial actions.

III. Companies use only some of the processes described as those of “total innovation”, in the passage.

IV. Executives show a steadfast attitude that does not help them adapt to situations, and means that they do not crack under stress as they stick to their viewpoints.

Explanation:-

In the first sentence the author himself states that viability depends on the ability to innovate, which is not true in case of a company sticking to core offerings. The wall street people do not affect a company's viability rather their lack of trust is an outcome of company's non-viability. This helps us rule out statement II.

Also, Statement IV can be rejected from the line: “executives tend to respond with dramatic interventions and vacillating strategies.”

Statements III and IV run contrary to the content of this one, and the general sentiment expressed by the passage.

Refer to the fifth sentence of para one "Typically they are...initiatives" the reason for the non-viability is inadequate grasp of executives over diverse/dispersed initiatives. The example of consumer goods company clearly highlights this aspect that company's structures/processes were not suited to bring about transformational innovation.

Question No. : 58

(28)

A) 2 B) 3 C) 4 D) 5

A) They have an appropriate combination of their core offerings and break through, game changing novel ideas B) They have varied efforts in pursuit of new products which compete with each other to be noticed

C) They have the chief executives who do not tend to intervene dramatically

D) They have the necessary techniques and capabilities to manage the diverse initiatives in the company as related to a common purpose

It can be inferred from the passage that the author places his trust in how many of the below: I. Transformational innovation introducing breakthroughs in the system

II. Incremental innovation building systems one at a time III. Integrating innovation through systematic changes over time

IV. Lateral innovation that integrate the innovative methods with core methods using lateral thinking V. Total innovation encompassing every area of the organization for collective growth

Explanation:-

There are four methods/approaches that can be inferred from the passage that the author would agree with: I, II, III & V

Each of these finds a mention in the last paragraph of the passage. Statement IV does not find any mention, and neither is lateral thinking ever mentioned in the passage. The passage only uses the word ‘adjacent’ to signify changes that need to be integrated with core changes in the system.

Question No. : 59

Passage Source: Managing your Innovation, appeared in Harvard Business Review

According to the information given in the passage, what may not be the characteristics of a company with strong innovation records?

Explanation:-

4th paragraph clearly mentions that adhoc/standalone varied efforts that compete with one another are not conducive to total innovation. Hence option 2 can be identified as the characteristic that companies with strong innovation records may not have. On the other hand, 1 and 4 are pretty straightforward as these are positive attributes. Option 3 can be ruled out beecause where chief executives intervene dramatically, they do not have strong performance records (para 2). In this sense, companies where

(29)

A) A modified version of gratitude that is effective B) An adulterated version of gratitude that is detrimental in nature C) A heavily altered version of gratitude lacking its full impact D) A watered-down version of gratitude lacking its full impact executives do not intervene dramatically are bound to have strong innovation record.

Question No. : 60

Consider these recent headlines: “Want to be Happier? Be More Grateful,” “The Formula for Happiness: Gratitude Plays a Part,” “Teaching Gratitude, Bringing Happiness to Children,” and my personal favorite “Key to Happiness is Gratitude, and Men May be Locked Out.”

Buoyed by research findings from the field of positive psychology, the happiness industry is alive and flourishing in America. Each of these headlines includes the explicit assumption that gratitude should be part of any 12-step, 30-day, or 10-key program to develop happiness. But how does this bear on the question toward which this essay is directed? Is gratitude queen of the virtues? In modern times gratitude has become untethered from its moral moorings and collectively, we are worse off because of this. When the Roman philosopher Cicero stated that gratitude was the queen of the virtues, he most assuredly did not mean that gratitude was merely a stepping-stone toward personal happiness. Gratitude is a morally complex disposition, and reducing this virtue to a technique or strategy to improve one’s mood is to do it an injustice.

Even restricting gratitude to an inner feeling is insufficient. In the history of ideas, gratitude is considered an action (returning a favor) that is not only virtuous in and of itself, but valuable to society. To reciprocate is the right thing to do. “There is no duty more indispensable that that of returning a kindness” wrote Cicero in a book whose title translates “On Duties.” Cicero’s contemporary, Seneca, maintained that “He who receives a benefit with gratitude repays the first installment on his debt.” Neither believed that the emotion felt in a person returning a favor was particularly crucial. Conversely, across time, ingratitude has been treated as a serious vice, a greater vice than gratitude is a virtue. Ingratitude is the “essence of vileness,” wrote the great German philosopher Immanuel Kant while David Hume opined that ingratitude is “the most horrible and unnatural crime that a person is capable of committing.”

Gratitude does matter for happiness. As someone who for the past decade has contributed to the scientific literature on gratitude and well-being, I would certainly grant that. The tools and techniques of modern science have been brought to bear on understanding the nature of gratitude and why it is important for human flourishing more generally. From childhood to old age, accumulating evidence documents the wide array of psychological, physical, and relational benefits associated with gratitude. Yet I have come to the realization that by taking a “gratitude lite” approach we have cheapened gratitude. Gratitude is important not only because it helps people feel good, but also because it inspires them to do good. Gratitude heals, energizes, and transforms lives in a myriad of ways consistent with the notion that virtue is both its own reward and produces other rewards.

To give a flavor of these research findings, dispositional gratitude has been found to be positively associated qualities such as empathy, forgiveness, and the willingness to help others. For example, people who rated themselves as having a grateful disposition perceived themselves as having more prosocial characteristics, expressed by their empathetic behavior, and emotional support for friends within the last month. When people report feeling grateful, thankful, and appreciative in studies of daily experience, they also feel more loving, forgiving, joyful, and enthusiastic. Notably, the family, friends, partners and others that surround them consistently report that people who practice gratitude are viewed as more helpful, more outgoing, more optimistic, and more trustworthy. On a larger level, gratitude is the adhesive that binds members of society together. Gratitude is the “moral memory of mankind” wrote noted sociologist Georg Simmel.

With reference to the passage, what does the author mean by a ‘gratitude-lite’ approach?

Explanation:-

First, let us look at the meaning of lite. It denotes a low-fat or low-sugar version of a manufactured food or drink product. When coupled with a soft-drink, it would mean a low-fat or calorie version of the soft drink, that is something that does not have its full impact.

When used with gratitude, it would refer to a version of gratitude that does not have the full impact or force and is a watered down version of the same.

The clue to the correct answer also lies in the following line: Yet I have come to the realization that by taking a “gratitude lite” approach we have cheapened gratitude.

Question No. : 61

(30)

A) One should take the emphatic approach to gratitude B) One should take the personal approach to gratitude C) One should take both the social and the personal approach to gratitude

D) One should only take the social approach to gratitude

of these headlines includes the explicit assumption that gratitude should be part of any 12-step, 30-day, or 10-key program to develop happiness. But how does this bear on the question toward which this essay is directed? Is gratitude queen of the virtues? In modern times gratitude has become untethered from its moral moorings and collectively, we are worse off because of this. When the Roman philosopher Cicero stated that gratitude was the queen of the virtues, he most assuredly did not mean that gratitude was merely a stepping-stone toward personal happiness. Gratitude is a morally complex disposition, and reducing this virtue to a technique or strategy to improve one’s mood is to do it an injustice.

Even restricting gratitude to an inner feeling is insufficient. In the history of ideas, gratitude is considered an action (returning a favor) that is not only virtuous in and of itself, but valuable to society. To reciprocate is the right thing to do. “There is no duty more indispensable that that of returning a kindness” wrote Cicero in a book whose title translates “On Duties.” Cicero’s contemporary, Seneca, maintained that “He who receives a benefit with gratitude repays the first installment on his debt.” Neither believed that the emotion felt in a person returning a favor was particularly crucial. Conversely, across time, ingratitude has been treated as a serious vice, a greater vice than gratitude is a virtue. Ingratitude is the “essence of vileness,” wrote the great German philosopher Immanuel Kant while David Hume opined that ingratitude is “the most horrible and unnatural crime that a person is capable of committing.”

The author of the passage will agree with the statement:

Explanation:-

This is a question which is based on the overall idea of the passage. The author of the passage clearly states the social approach to gratitude is required. But he does not state the personal approach is not needed. He, in fact, quotes that both are required. Refer to the lines: Gratitude does matter for happiness. As someone who for the past decade has contributed to the scientific literature on gratitude and well-being, I would certainly grant that.

In these lines, the author does accept the contribution of gratitude towards personal happiness.

Also, right through the passage, he emphasis the need of keeping the society in mind while thinking of gratitude. This makes option 3 the apt answer in this case.

Question No. : 62

Buoyed by research findings from the field of positive psychology, the happiness industry is alive and flourishing in America. Each of these headlines includes the explicit assumption that gratitude should be part of any 12-step, 30-day, or 10-key program to develop happiness. But how does this bear on the question toward which this essay is directed? Is gratitude queen of the virtues? In modern times gratitude has become untethered from its moral moorings and collectively, we are worse off because of this. When the Roman philosopher Cicero stated that gratitude was the queen of the virtues, he most assuredly did not mean that gratitude was merely a stepping-stone toward personal happiness. Gratitude is a morally complex disposition, and reducing this virtue to a technique or strategy to improve one’s mood is to do it an injustice.

Even restricting gratitude to an inner feeling is insufficient. In the history of ideas, gratitude is considered an action (returning a favor) that is not only virtuous in and of itself, but valuable to society. To reciprocate is the right thing to do. “There is no duty

(31)

A) I & II B) II & III C) I & III D) All of the above

A) Vikram B) Viraat C) Vijay D) Cannot be determined

more indispensable that that of returning a kindness” wrote Cicero in a book whose title translates “On Duties.” Cicero’s contemporary, Seneca, maintained that “He who receives a benefit with gratitude repays the first installment on his debt.” Neither believed that the emotion felt in a person returning a favor was particularly crucial. Conversely, across time, ingratitude has been treated as a serious vice, a greater vice than gratitude is a virtue. Ingratitude is the “essence of vileness,” wrote the great German philosopher Immanuel Kant while David Hume opined that ingratitude is “the most horrible and unnatural crime that a person is capable of committing.”

As per the context of the passage, identify the correct statements:

I. According to the author, the happiness industry has over-used the concept of gratitude for its own benefit. II. According to Cicero, gratitude induces a feeling of debt in the benefactor.

III. The rewards obtained from gratitude cannot be limited to one sphere of human life.

Explanation:-

Statement I can be directly derived from the lines: Buoyed by research findings from the field of positive psychology, the happiness industry is alive and flourishing in America. Each of these headlines includes the explicit assumption that gratitude should be part of any 12-step, 30-day, or 10-key program to develop happiness.

Statement II can be negated from the lines: Cicero’s contemporary, Seneca, maintained that “He who receives a benefit with gratitude repays the first installment on his debt.”

The line actually means that if someone recieves a benefit with a feeling of gratitude, he has partially paid his debt already. The given statement states the opposite.

Statement III can be derived from the lines: Gratitude heals, energizes, and transforms lives in a myriad of ways consistent with the notion that virtue is both its own reward and produces other rewards.

Question No. : 63

A security Agency provides exactly two guards on each day of a week from Monday to Saturday.

Vijay, Vikrant, Vikram, Vicky and Viraat are the people responsible for guarding the ATM. None of them works for three consecutive days during the week. Vijay does not work on Monday, Tuesday and Wednesday.

Vicky and Vikrant never work on the same day. Vikrant works on alternate days and he works with Vijay on Friday. Viraat works for the maximum number of days during the week among the five guards.

Both Vicky and Vikrant work for an odd number of days during the week. Two particular guards work for the same number of days during the week; each of the rest three works for a distinct number of days.

If Viraat works with one particular guard twice during the week, then which guard works on the same day as Vicky?

Explanation:-

Vicky, Vikram, Vijay, Vikrant and Viraat must have worked for 1, 2, 2, 3 and 4 days respectively.

(32)

Monday Vikrant Viraat

Tuesday Vikram Vicky

Wednesday Vikrant Viraat Thursday Vikram/Vijay Viraat

Friday Vikrant Vijay

Saturday Vijay/Vikram Viraat

A) Viraat and Vijay B) Viraat and Vicky C) Viraat and Vikram D) Cannot be determined

A) The sergeant was asked to keep his nose off the matter

B) The vigilance Department has started to nose around since they have received complaints regarding frauds C) Senior professors here look down their noses at the ones who have recently joined the department D) Believing that he hadn’t been noticed by anyone, John nosed out of the room

A) The company has not yet moved in on the consumer market B) The army is moving on the capital itself C) We'd better get a move on before it rains D) Infantry units have been in the move all day

Hence, Vikram works with Vicky. Question No. : 64

A security Agency provides exactly two guards on each day of a week from Monday to Saturday.

Vijay, Vikrant, Vikram, Vicky and Viraat are the people responsible for guarding the ATM. None of them works for three consecutive days during the week. Vijay does not work on Monday, Tuesday and Wednesday.

Vicky and Vikrant never work on the same day. Vikrant works on alternate days and he works with Vijay on Friday. Viraat works for the maximum number of days during the week among the five guards.

Both Vicky and Vikrant work for an odd number of days during the week. Two particular guards work for the same number of days during the week; each of the rest three works for a distinct number of days.

If Viraat works with a different guard every time during the week, then which two guards work on Thursday?

Explanation:-

Vicky, Vikram, Vijay, Vikrant and Viraat must have worked for 1, 2, 2, 3 and 4 days respectively.

The table given below can be formed from the given information.

Monday Vikrant Viraat

Tuesday Vikram Vicky

Wednesday Vikrant Viraat Thursday Vikram/Vijay Viraat

Friday Vikrant Vijay

Saturday Vijay/Vikram Viraat

It can be seen that the two guards who work on Thursday cannot be uniquely determined.

Question No. : 65 NOSE

Explanation:-

To look down (one's) nose is an idiom that means with disapproval, contempt, or arrogance.

Nose around means to pry into something; to snoop around something. Nose Out means to move cautiously out of something or some place, nose first.

Sentence in option 1 incorrectly uses 'off' and should instead you 'of'. So, option 1 is the answer.

Question No. : 66 MOVE