MENTAL ABILITY
1. What is 150% of 48 ?
(A) 72 (B) 32 (C) 7.2 (D) 3.2
2. The table given here shows a linear pattern. Term Value 1 5 2 7 3 9 .... .... n ? Which of the following expressions represents the value
of the n th term in the pattern ?
(A) n + 2 (B) 2n + 3 (C) 3n + 2 (D) 4n + 1
3. The given table shows information about the members of a concert choir at a high school. Grade Number of Members 9 10 11 12 th th th th 6 12 15 27
Which of the following graphs best describes the choir's membership data ?
(A) 9 th 12 th 10 th 11 th Number of Members (B) 9 th 12 th 10 th 11 th Number of Members (C) 12 th 9 th 11 th 10 th Number of Members (D) 12 th 11 th 10 th 9 th Number of Members 4. If 1– 2 1 1 – 6 x x + =
x x , then the values of x are _____. (A) 5 , 7 13 13 (B) 7 , 9 13 13 (C) 9 , 4 13 13 (D) 5 9 , 13 13
5. Let n be any integer. Which of the following is always true about (n + 5) ? (A) (n + 5) is an odd integer (B) (n + 5) is an even integer
(C) (n + 5) is a prime integer (D) (n + 5) and (n – 5) are at equal distance from n
6. The number cube shown here is numbered 1 to 6 on its faces.
1 2
4
When the cube is tossed once, what is the probability that a number divisible by three will be on the top face ?
(A) 1 3 (B) 1 6 (C) 1 2 (D) 1
7. Which of the following are inverse operations ?
(A) Multiplication and addition (B) Square root and division (C) Subtraction and square root (D) Addition and subtraction 8 Look at the given pattern.
3, 7, 15, 31, 63, ... What is the 7 th term in the pattern ?
(A) 127 (B) 128 (C) 255 (D) 258
9. In a row of girls if Sheetal who is 10 th from left and Hina who is 9 th from right, change their seats, Sheetal becomes 15 th from the left. How many girls are there in the row?
(A) 16 (B) 32 (C) 25 (D) 23 10. If L denotes ×, M denotes¸, P denotes + and Q denotes –, then 16 P 24 M 8 Q 6 M 2 L 3 = ? (A) 13 6 (B) 1 6 - (C) 14 1 2 (D) 10
11. The set of real numbers shown below is a subset of which of the following ?
{
2, 3,-2 , 0.57}
3 5
(A) Rationals (B) Irrationals (C) Integers (D) Whole numbers
12. A 4 th degree polynomial expression has the form shown below.
4 3 2
4 + 3 + 2 + 1 + 0
a x a x a x a x a
In the polynomial expression 5x 4 – 7x 3 – 3x 2 + 8x – 4, what is the value of 2a
3 + a 2 2 – a 4 ?
(A) –10 (B) –3 (C) 5 (D) 8
13. If the sum of the measures of two angles is 90°, then the angles are
A
B C
65°
25°
complementary. In triangle ABC, mÐC = 25°, mÐA = 65°, mÐB = 90°. Which valid conclusion follows directly from the previous statements ?
(A) ÐB is a complementary angle (B) ÐA andÐB are complementary angles
(C) ÐB andÐC are complementary angles (D) ÐA andÐC are complementary angles
14. The first two terms in a sequence are shown below. Each term after the
1 2
first is found by rotating the arrow 45° clockwise. What will be the 7 th term in the sequence ?
(A) (B) (C) (D)
15. Which rule could be used to find each term, after the second, in the recursive sequence shown below ? 2, 3, 6, 18, 108, ...
(A) Multiply the two immediately preceding terms (B) Multiply the immediately preceding term by 2 (C) Add the two immediately preceding terms, then add 1
(D) Square the immediately preceding term and subtract 3
SCIENCE
16. The balloon shown here is filled with water. Ashish wants to make a hole in the balloon so that water comes out with maximum pressure. At which point should he make the hole?
(A) P (B) Q
P
Q R
S
(C) R (D) S
17. The motion of a striker across a carom board is an example of _____________ type of motion.
(A) Periodic (B) Oscillatory (C) Circular (D) Rectilinear
18. Two men are standing in front of a plane mirror as shown. When man X looks into the mirror, how far away from him will man Y seem to be?
(A) 14 m (B) 16 m
2 m 12 m
man X man Y
(C) 12 m (D) 10 m
19. The voice of which of the following is likely to have minimum frequency?
20. An object vibrates with a frequency 15 Hz. Which of the following is true? (A) It produces sound which we can hear. (B) It does not produce sound. (C) It produces sound which we cannot hear.
(D) It produces sound which we can hear if we strain our ears.
21. When a glass rod is rubbed with a piece of silk cloth, the rod ____. (A) And the cloth both acquire positive charge
(B) Becomes positively charged, while the cloth has a negative charge (C) And the cloth both acquire negative charge
(D) Becomes negatively charged, while the cloth has a positive charge
22. Phases of the moon occur because _____.
(A) We can see only that part of the moon which reflects light towards us (B) Our distance from the moon keeps changing (C) The shadow of the earth covers only a part of the moon's surface (D) The thickness of the moon's atmosphere is not constant 23. A driver is driving his car along a road as shown in figure. The driver makes sure that the speedometer reads exactly 40 km/h. What happens to the speed of the car from P to Q? (A) Speed remains constant P Q R (B) Speed first decreases then increases (C) Speed first increases then decreases (D) Nothing can be decided
24. When we use biomass to generate electricity the conversion of energy is from ____. (A) Chemical to electrical energy (B) Kinetic to electrical energy
(C) Nuclear to electrical energy (D) Muscular to electrical energy
25. In which of the following circuits does the current flow?
(A) A + -+ -(B) A + -+ -(C) A + -+ -Rubber (D) A +
-26. The planet of the solar system having no satellite is _____.
(A) Jupiter (B) Venus (C) Saturn (D) Mars
27. Which of the following diagrams shows correctly the refraction of light by a prism?
(A) i e (B) i e (C) i e (D) i e
28. A ball placed on a table starts rolling when the table is tilted. Which is the force that causes this motion ?
(A) Friction (B) Push by table
29. We can cover the jewellery made of less expensive metals, with layer of gold or silver, by ____.
(A) Electroplating (B) Earthing
(C) Charging (D) Simply dipping in gold solution
30. Frictional force on an object in a fluid does not depend on
(A) Speed of the object relative to fluid (B) Shape of the object
(C) Nature of the fluid (D) None of these
31. Riya found kitchenware which was resistant to fire and was able to tolerate heat better than other plastics, she wondered as to what could the material be. Can you guess the material ?
(A) Melamine (B) Polythene (C) PVC (D) None of these
32. Given
Cu + 2AgNO 3®Cu(NO 3 ) 2 + 2Ag; Pb + Cu(NO 3 ) 2®Pb(NO 3 ) 2 + Cu; Zn + Pb(NO 3 ) 2®Zn(NO 3 ) 2 + Pb The most reactive metal is _____.
(A) Ag (B) Cu (C) Pb (D) Zn
33. The figure shown below depicts the deposits of petroleum, natural gas and water. Arrange I, II and III in the order in which they are drilled from beneath the seas ?
I II III
(A) Gas Oil Water
(B) Gas Water Oil
(C) Water Oil Gas
(D) Oil Gas Water
Wells II III Impervious rock Reservoir rock Petroleum and natural gas deposits I
34. Goldsmiths blow the outermost zone of a flame with a metallic blow pipe to melt gold and silver because _____.
(A) The outermost zone has the minimum temperature (B) The outermost zone is blue coloured
(C) The outermost zone has maximum temperature (D) The outermost zone is yellow coloured
35. Neha performed litmus test with three different substances X, Y and Z. She recorded her observations in tabular form.
Which of the following observations made by her is correct?
X Y Z
(A) Acid Base Salt
Blue litmus Red litmus turns blue no change no change turns red no change no change
(B) Base Acid Lemon juice
(C) Base Acid Water
36. The technique of watering plants by making use of narrow tubings which deliver water directly at the base of the plant is known as ____.
(A) Bawris lateral wetted root zone (B) Water harvesting (C) Drip irrigation (D) None of these
37. What causes the candle flame to get extinguished?
CaCO + HCl 3 Candle flame extinguishes (A) Evolution of O 2 gas
(B) Evolution of CO 2 gas
(C) Formation of Ca(OH) 2
(D) Formation of CaCl 2
38. Statement I : Breaking of a bone china plate is a chemical change.
Statement II : When a bone china plate breaks, the pieces cannot be joined to get back the original plate. (A) Both statements I and II are true and statement II is the correct explanation of statement I.
(B) Both statements I and II are true but statement II is not the correct explanation of statement I. (C) Statement I is false and statement II is true.
(D) Both statements I and II are false.
39. In the condition shown in the given figure, which of the following diseases is mostly likely to spread ?
(A) Typhoid (B) Tuberculosis (C) Malaria (D) Cholera
40. In a forest, due to heavy hunting, the population of lions has reached extinction. This will have a major effect on the population of deer. Which of the following graphs will correctly depict this effect ? Y Number of deer, X Time
(A) Y X (B) Y X (C) Y X (D) Y X 41. Megha observes that the water surface of the lake near her locality is gradually getting covered with algae. She is curious to know the cause for such algal bloom. Which of the following can be the cause for this?
(A) Disposal of concrete and cement from the construction area of locality into the lake (B) Increased population of aquatic life in the lake
(C) Disposal of pollutant having high level of organic matter into the lake (D) High rainfall
42. The given table shows the monthly climatic information of a city. What is the climate of the city and how do people adapt to it ?
Climate Adaptations January February March April May June 2.3 –0.6 3.8 7.7 10.7 14.7 4.7 7.8 13.6 19.4 23.8 29.2 21 28 17 29 32 37 Month Mean temperature °C Daily minimum Daily maximum Mean total rainfall (mm) (A) Hot and Dry Wear cotton clothes
(B) Hot and Wet Wear raincoats (C) Cool and Wet Wear overcoats (D) Cool and Dry Wear sweaters. 43. Refer the given flow chart and identify X, Y and Z ? X Y Z Atmospheric nitrogen Nitrogen fixation X Y Z
(A) Denitrification Ammonification Nitrification (B) Ammonification Nitrification Denitrification (C) Nitrification Ammonification Denitrification (D) Denitrification Nitrification Ammonification
44. Anil selected four equal sized seedlings and planted them separately in four glasses containing different composition of soil. He poured same amount of water into each glass and exposed them to light for equal time. In which of the following glasses, the seedling will show fastest growth ?
(A) Soil + Compost (B) Soil + NPK fertilizer (C) Soil + Compost + NPK (D) Soil
45. Which of the following trees will form denser canopy ?
(A) (B) (C) (D)
46. A farmer grows paddy crop in his field for two consequent years. After second year, the yield of paddy crop decreased markedly. Which agricultural practice should be implemented to increase the yield?
(A) Field fallow (B) Manuring (C) Weeding (D) Crop rotation
47. Which of the following statements are true/false?
(i) In insects, tracheal fluids serve to distribute oxygen to tissues.
(ii) Yeasts respire aerobically, therefore, they are used to make wine and beer. (iii) On an average, a healthy human breathes 26 times per minute.
(iv) Capacity of human lungs for air in a healthy person is 1500 mL. (v) Sneezing expels the foreign particles from the inhaled air.
(A) (i), (ii) & (v) are false; (iii) & (iv) are true (B) (i), (ii) & (iii) are false; (iv) & (v) are true (C) (ii) & (iv) are false; (i), (iii) & (v) are true (D) (ii) & (v) are false; (i), (iii) & (iv) are true
48. Why is reproduction the most important characteristic of a living organism ? (A) It allows organism to be immortal. (B) It reduces competition among organisms for various resources. (C) It is essential for the continuation of the species. (D) It is essential for the growth and development of organism. 49. Which of the following statements is/are correct regarding the given figure? R P Q S (i) The part labelled ‘P’ gives rise to fruit. (ii) The part labelled ‘R’ is responsible for transfer of female gamete. (iii) The part labelled ‘Q’ transforms into endosperm. (iv) The part labelled ‘S’ is a male gamete.
(A) (i) only (B) (i) & (iii)
(C) (iii) & (iv) (D) (i) & (ii)
50. Which of the following is correct regarding passage of blood in the human heart ?
Left auricle receives Right auricle receives Right ventricle pumps Left ventricle pumps
(A) Deoxygenated Oxygenated blood Oxygenated blood Deoxygenated blood
blood from the body from the lungs to the lungs to the lungs (B) Oxygenated blood Deoxygenated blood Deoxygenated blood Oxygenated blood
from lungs from the body to the lungs to the body
(C) Oxygenated blood Oxygenated blood Deoxygenated blood Deoxygenated blood
from the body from the lungs to the body to the lungs
(D) Deoxygenated blood Deoxygenated blood Oxygenated blood Deoxygenated blood
from the body from the lungs to the body to the body
1. (A) 2. (B) 3. (D) 4. (C) 5. (D) 6. (A) 7. (A)
8. (C) 9. (D) 10. (D) 11. (A) 12. (A) 13. (D) 14. (D)
15. (A) 16. (D) 17. (D) 18. (B) 19. (C) 20. (C) 21. (B)
22. (A) 23. (A) 24. (A) 25. (B) 26. (B) 27. (C) 28. (D)
29. (A) 30. (D) 31. (C) 32. (D) 33. (A) 34. (C) 35. (C)
36. (C) 37. (B) 38. (C) 39. (B) 40. (B) 41. (C) 42. (D)
43. (D) 44. (C) 45. (A) 46. (D) 47. (C) 48. (C) 49. (B)
50. (B)
