Test Paper-4 (07-10-11)

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IJSO(STAGE-I)

WORK SHOP

TEST PAPER -4

GENERAL INSTRUCTIONS

1. In addition to this question paper, you are given a separate answer sheet.

2. Fill up all the entries carefully in the space provided on the OMR sheet ONLY IN BLOCK CAPITALS. Incomplete/incorrect/carelessly filled information may disqualify your candidature.

3. A student has to write his/her answers in the OMR sheet by darkening the appropriate bubble with the help of HB Pencil as the correct answer(s) of the question attempted.

4. Paper carries 40 questions each of 3 marks.

5. Any rough work should be done only on the blank space provided at the end of question paper.

6. For each correct answer gets 3 marks, each wrong answer gets a penalty of 1 mark.

7. Blank papers, clip boards, log tables, slide rule, mobiles or any other electronic gadgets in any form is "NOT PERMISSIBLE".

8. Use of nonprogrammable calculator is allowed.

Time : 1 Hr. Max. Marks : 120

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Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-4_PAGE #1

TEST PAPER-4

1. The number of non empty subsets of the set {1,2,3,4} is :

(A) 15 (B) 14 (C) 16 (D) 17

2. Two finite sets have m and n elements, then total number of subsets of the first set is 56 more that the total number of subsets of the second. The values of m and n are :

(A) 7,6 (B) 6,3 (C) 5,1 (D) 8,7

3. Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total , 64 played both basketball and hockey; 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games.The number of boys who did not play any game is :

(A) 160 (B) 240 (C) 216 (D) 128

4. The solution of 3x2

– 12x = 0, when :

(A) xN is {4} (B) xl is {0,4}

(C) x _ S={a + ib : b_0,a,b_R} is  (D) all of these

5. A = {1, 2, {3, 4}, {5}}. Which of the following is true ?

(A) {3, 4} _ AA (B) 3 _ AA (C) n(A) = 5 (D) {5} _A

6. If a, b, x and y are natural numbers such that a2_{+ b}2_{= 13 and x}3_{+ y}3_{= 65, then the value of}

{(ax + by) + (ay + bx)} is :

(A) 10 (B) 20 (C) 25 (D) 30 7. If _xxy_y  = a, x z xz  = b and y z yz

 = c, where a, b and c are other than zero, then x equals :

(A) bc ac ab abc   (B) ab bc ac abc 2   (C) ab ac bc abc 2   (D) ac bc ab abc 2   8. If p = 22/3_{+ 2}1/3_then. (A) p3 – 6p + 6 = 0 (B) p3– 3p – 6 = 0 (C) p3– 6p – 6 = 0 (D) p3– 3p + 6 = 0

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9. The polynomial p(x) = 2x4

– x3– 7x2 + ax + b is divisible by x2– 2x – 3 for certain values of a and b. The

value of (a + b), is :

(A) – 34 (B) – 30 (C) – 26 (D) – 18

10. If the ratio of the sum of n terms of two A.P.s be (7n + 1) : (4n + 27) then the ratio of their 11th_{terms will be}

(A) 2 : 3 (B) 3 : 4 (C) 4 : 3 (D) 5 : 6

11. Magnification produced by a concave mirror is :

(A) negative for a real image and positive for a virtual image. (B) only positive

(C) zero

(D) only negative 12. Magenta is a :

(A) primary colour (B) secondary colour (C) complementary colour (D) tertiary colour 13. Critical angle of light passing from glass to air is minimum for

(A) red colour (B) green colour (C) yellow colour (D) violet colour

14. When an ultrasonic wave travels from air to water : (A) the wave bends away from the normal

(B) The wave bends towards the normal

(C)speed of the ultrasonic wave is greater in water than the speed in air (D) (A) & (C) are correct

15. A man with normal near point (25 cm) reads a book with small print using a thin convex lens of focal length 5 cm. What is the (a) closest and (b) the farthest distance at which he can read the book when viewing through the magnifying glass ?

(A) 4.2 cm, 5 cm (B) 6.2 cm, 6 cm (C) 5.2 cm, 6 cm (D) None of these

16. A ray of light propagates from glass (refractive index = 3/2) to water (refractive index = 4/3). The value of the critical angle is :

(A) sin–1_(1/2) _(B)          9 8

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17. Relation between critical angles of water and glass is :

(A) C_w > C_g (B) C_w < C_g (C) C_w = C_g (D) C_w = C_g = 0

18. When light is incident on the interface of glass and air as shown in the figure. If green light is just totally internally reflected then the emerging ray in air contains :

Air Glass

White

Green

(A) Yellow, orange, red (B) Violet, indigo, blue

(C) All colours (D) All colours except green

19. At normal incidence of a light ray on a regular polished reflecting surface, the angle of incidence and angle of reflection are :

(A) 90º, 90º (B) 90º, 0º (C) 0, 90º (D) 0º, 0º

20. The focal length of a concave mirror is f and distance of the object to the principal focus is p. Then ratio of the size of the image to the size of the object is :

(A) f/p (B) f p (C) fp (D) f p

21. A gas which turns lime water milky but does not turns acidified potassium dichromate solution green is

-(A) SO₂ (B) CO₂ (C) H₂S (D) Either (A) or (B)

22. Aqueous solution of CH₃COOH contains:

(A) CH₃COO–_,H+ _{(B) CH} 3COO –_,H 2O, CH3COOH (C) CH₃COO–_{, H} 3O +_{, H}+ _{(D) CH} 3COOH, CH3COO –_{, H}+

23. The strongest acid of the following is

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24. When a base is diluted with water

-(A) concentration of OH–_{ions per unit volume increase.}

(B) concentration of OH–_{ions per unit volume decrease.}

(C) concentration of OH–_{ions per unit volume may increase or decrease depending upon the nature of the base.}

(B) no change in concentration of OH–_{ions per unit volume occurs.}

25. What is the percentage error in hydronium ion concentration made by neglecting ionization of water in 10–6 _{M NaOH.}

(A) 1% (B) 2% (C) 1.7 % (D) 2.7 %

26. When 10–6_{mole of a monobasic strong acid is dissolved in one litre of solvent , the pH of the solution is}

-(A) 6 (B) 7 (C) less than 7 (D) more than 7

27. The metal which reacts with water only when it is red hot & steam is passed over it is :

(A) sodium (B) calcium (C) iron (D) magnesium

28. Which of the following methods is based on the principle of the difference in the wetting properties of the ore and gangue particles with water and oil ?

(A) Magnetic separation (B) Froth floatation process (C) Roasting (D) Calcination 29. Which electrolyte is used in electrolysis during purification of copper metal ?

(A) Cu(OH)₂ (B) CuSO₄ (C) CuCO₃ (D) CuO

30. The process of extracting metals from their ores & purifying them for use is called as

-(A) refining (B) extraction (C) malleability (D) metallurgy

31. F₁ plants crossed with dominant individuals will yield a progeny of

(A) All recessive (B) All dominant

(C) Dominant & recessive in ratio of 1 : 1 (D) Dominant & recessive in ratio of 3 : 1

32. Hybrid pea plant with yellow round seeds (YyRr) is self pollinated. Phenotypic ratio of next generation would be

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33. 1 : 1 ratio of test cross indicates that (A) Alleles are dominant

(B) Alleles are codominant

(C) Organism with dominant phenotype is heterozygous (D) Alleles segregate independently

34. Diatom is the another name of

-(A) Green algae (B) Red algae (C) Brown algae (D) Golden algae

35. Marsupials are

(A) Mammals with a pouch (B) Egg laying mammals

(C) Specific type of reptiles (D) Flying mammals

36. Which one of the following is a true fish ?

(A) Jelly fish (B) Ray fish (C) Star fish (D) Devil fish

37. Mesoglea is characteristic of

(A) platyhelminthes (B) aschelminthes (C) cnidaria (D) mollusca

38. ‘Venus flower basket’ is the dried skeleton of

-(A) Euspongia (B) Euplectella (C) Spongilla (D) Leucosolenia

39. Retrogressive metamorphosis is found in –

(A) Frog (B) Sharks (C) Herdmania (D) Amphioxus

40. Possible early source of energy was

(A) chlorophyll (B) CO₂