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IJSO(STAGE-I) WORK SHOP TEST PAPER -4 Time : 1 Hr.
Max. Marks : 120
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.
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TEST PAPER-4 1.
The number of non empty subsets of the set {1,2,3,4} is : (A) 15
2.
(B) 14
(C) 16
(D) 17
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
3.
(B) 6,3
(C) 5,1
(D) 8,7
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
4.
5.
6.
(B) 240
(C) 216
(D) 128
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
A = {1, 2, {3, 4}, {5}}. Which of the following is true ? (A) {3, 4} A (B) 3 A (C) n(A) = 5
(D) {5} A
If a, b, x and y are natural numbers such that a2 + b2 = 13 and x3 + y3 = 65, then the value of {(ax + by) + (ay + bx)} is : (A) 10
7.
(C) 25
(D) 30
xy yz xz If x y = a, = b and y z = c, where a, b and c are other than zero, then x equals : xz
(A)
8.
(B) 20
abc ab ac bc
(B)
2abc ab bc ac
(C)
2abc ab ac bc
(D)
2abc ac bc ab
If p = 22/3 + 21/3 then. (A) p3 – 6p + 6 = 0
(B) p3 – 3p – 6 = 0
(C) p3 – 6p – 6 = 0
(D) p3 – 3p + 6 = 0
Space for rough work
WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-4_PAGE #1
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
10.
(C) – 26
(D) – 18
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
11.
(B) – 30
(B) 3 : 4
(C) 4 : 3
(D) 5 : 6
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
13.
(C) complementary colour (D) tertiary colour
Critical angle of light passing from glass to air is minimum for (A) red colour
14.
(B) secondary colour
(B) green colour
(C) yellow colour
(D) violet colour
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
16.
(B) 6.2 cm, 6 cm
(C) 5.2 cm, 6 cm
(D) None of these
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)
8 1 (B) sin 9
(C) sin–1 (8 / 9)
(D) sin–1 (5 / 7)
Space for rough work
WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-4_PAGE #2
17.
Relation between critical angles of water and glass is : (A) Cw > Cg
18.
(B) Cw < Cg
(C) Cw = Cg
(D) Cw = Cg = 0
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
Green
White
19.
(A) Yellow, orange, red
(B) Violet, indigo, blue
(C) All colours
(D) All colours except green
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
20.
(B) 90º, 0º
(C) 0, 90º
(D) 0º, 0º
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
21.
23.
p f
(C) fp
(D)
p f
A gas which turns lime water milky but does not turns acidified potassium dichromate solution green is (A) SO2
22.
(B)
(B) CO2
(C) H2S
(D) Either (A) or (B)
Aqueous solution of CH3COOH contains:
(A) CH3COO–,H+
(B) CH3COO–,H2O, CH3COOH
(C) CH3COO–, H3O+, H+
(D) CH3COOH, CH3COO–, H+
The strongest acid of the following is (A) HCl
(B) H2SO4
(C) HClO4
(D) H3PO4
Space for rough work
WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-4_PAGE #3
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%
26.
(D) 2.7 %
(B) 7
(C) less than 7
(D) more than 7
The metal which reacts with water only when it is red hot & steam is passed over it is : (A) sodium
28.
(C) 1.7 %
When 10–6 mole of a monobasic strong acid is dissolved in one litre of solvent , the pH of the solution is (A) 6
27.
(B) 2%
(B) calcium
(C) iron
(D) magnesium
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
29.
Which electrolyte is used in electrolysis during purification of copper metal ? (A) Cu(OH)2
30.
32.
(B) CuSO4
(C) CuCO3
(D) CuO
The process of extracting metals from their ores & purifying them for use is called as (A) refining
31.
(D) Calcination
(B) extraction
(C) malleability
(D) metallurgy
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
Hybrid pea plant with yellow round seeds (YyRr) is self pollinated. Phenotypic ratio of next generation would be (A) 13 : 3
(B) 9 : 7
(C) 1 : 4 : 6 : 4 : 1
(D) 9 : 3 : 3 : 1
Space for rough work
WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-4_PAGE #4
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
35.
36.
(A) Mammals with a pouch
(B) Egg laying mammals
(C) Specific type of reptiles
(D) Flying mammals
(C) Star fish
(D) Devil fish
(B) aschelminthes
(C) cnidaria
(D) mollusca
(C) Spongilla
(D) Leucosolenia
(C) Herdmania
(D) Amphioxus
‘Venus flower basket’ is the dried skeleton of (B) Euplectella
Retrogressive metamorphosis is found in – (A) Frog
40.
(B) Ray fish
Mesoglea is characteristic of
(A) Euspongia 39.
(D) Golden algae
Which one of the following is a true fish ?
(A) platyhelminthes 38.
(C) Brown algae
Marsupials are
(A) Jelly fish 37.
(B) Red algae
(B) Sharks
Possible early source of energy was (A) chlorophyll
(B) CO2
(C) UV radiations and lighting
(D) Green plants
Space for rough work
WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-4_PAGE #5
