Test Paper-3 (07-10-11)

March 31, 2017 | Author: Sanjay Verma | Category: N/A
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IIT-JEE | AIPMT | AIEEE | OLYMPIADS | KVPY | NTSE

IJSO(STAGE-I) WORK SHOP TEST PAPER -3 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-3 1.

In the given figure, AB || CD. Find the value of x : B

A

D

105º

C xº 25º E

(A) 130° 2.

(B) 100°

(C) 155°

(D) 105°

Two circles of radii 20 cm and 37 cm intersect in A and B. If O1 and O2 are their centres and AB = 24 cm, then the distance O1O2 is equal to :

(A) 44 cm

3.

(B) 51 cm

(C) 40

1 cm 2

(D) 45 cm

In the diagram, O is the centre of the circle. The angle CBD is equal to : (A) 25o

(B) 50o

(C) 40o

(D) 130o 4.

Two concentric circles are such that the smaller divides the larger circle into two regions of equal areas. If the radius of the smaller circle is 2 then the length of a tangent from any point ‘p’ on the larger circle to the smaller circle is : (A)

2

(B) 2

(C) 1

(D) 2 2

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-3_PAGE #1

5.

The common tangents to the circle  and  with centres P and Q meet the line joining P and Q at ‘O’ as shown. Given that the length OP = 28 cm and the diameters of  and  are in the ratio 4 : 3. The radius of the circle  is :

(A) 2 cm 6.

(B) 3 cm

(C) 4 cm

(D) 5 cm

In the following figure, ABC is a right angled triangle with a right at A. AB = 18 cm and AC = 24 cm DE, FG & HI are parallel to BC, CA and AB respectively. What is the area of the hexagon. DFGHIE if DE = 10 cm, FG = 8 cm and HI = 6 cm ? A

(A) 216 cm 2 (B) 144 cm 2

D

E

G

H

F B

(C) 192 cm 2

C

(D) 288 cm 2 7.

In figure, PA, QB and RC are each perpendicular to AC. Then :

(A) 1

(B) y

1 (C) y

1 1  ? x z

(D) None of these

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-3_PAGE #2

8.

In a ABC, AB = 3, BC = 5 and AC = 7. If AD and CE are angle bisectors meeting at P then the ratio

PD is equal to AD

(A) 9.

1 2

(B)

1 3

(C)

2 3

(D)

1 4

In the figure below, P and Q are the mid-points of the sides AB and BC of the rectangle ABCD. D

C Q

A

P

B

If the area of the triangle APQ is 1 square centimeter, what is the area of the whole rectangle ?

(A) 2 cm2 10.

(B) 4 cm2

(C) 8 cm2

(D) 16 cm2

ABCD is a trapezium in which AB || CD. If ADC = 2ABC, AD = a cm and CD = b cm, then the length (in cm) of AB is : (A)

11.

a + 2b 2

(B) a + b

(C)

2 a+b 3

(D) a +

2 b 3

Two parallel long straight conductors are placed at right angle to the meter scale at the 2 cm and 6 cm marks as shown in the figure. If they carry currents I and 3 I resp, in the same direction, then they will produce zero magnetic field at :

I

0

(A) zero mark

1 2

3I

3 4 56

(B) 9 cm mark

7 8 9 10 11 12 13 14 15

(C) 3 cm mark

(D) 7 cm mark

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-3_PAGE #3

12.

A circular coil A of radius r carries current I. Another circular coil B of radius 2r carries current of I. The magnetic field at the centres of the circular coils are in the ratio of : (A) 3 : 1 (B) 4 : 1 (C) 1 : 1 (D) 2 : 1

13.

If we double the radius of a current carrying coil keeping the current unchanged, the magnetic field at its centre will : (A) remain unchanged (B) become double (C) be halved (D) become four times

14.

Tesla is equal to : (A) NAm

15.

(C) NAm–1

(D) NA–1 m–1

In the figure.shown, there are two semi-circles of radii r1 and r2 in which a current I is flowing. The magnetic field induction at the centre O will be :

(A) 16.

(B) NA–1 m

 0I r1  r2  4

(B)

 0I  r1  r2  (C) 4  r r   12 

 0I r1 – r2  4

 0I  r1 – r2  (D) 4  r r   1 2 

In the given figure, what is the magnetic field at the point ‘O’ ?

I = 4amp.

r=2

(A)

30 2

(B)

0 2

O

(C)

0 0  2 2

(D)

0 0  2 

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-3_PAGE #4

17.

A vertical straight conductor carries a current vertically upwards. A point P lies to the east of it at a small distance and another point Q lies to the west at the same distance. The magnetic field at P is : (A) greater than at Q (B) same as at Q (C) less than at Q (D) greater or less than at Q, depending upon the strenth of current

18.

In the figure shown the magnetic field induction at the centre O of the arc due to current in portion CD will be :

I r I

I A (A) 0 I 19.

(B) 0 I / 2r

O

C

D

(C) 0 I / 4r

(D) zero

In the above question, the magnetic field induction at O due to whole length of the conductor is : (A) 0 i / r

20.

B

(B) 0 i / 2r

(C) 0 i / 4r

(D) zero

The magnetic field intensity produced due to a current carrying coil is maximum at : (A) any point (B) the centre of the coil (C) any point lying on the axis of the coil (D) points lying between centre of the coil and its circumference

21.

Molarity of H2SO4 (density of solution 1.8g/mL) is 18M. The molality of this solution is (A) 36

22.

(D) 18

(B) 6.023 × 1021

(C) 6.023 × 1022

(D) 6.023 × 1023

Which of the following mode of expressing concentration is independent of temperature (A) Molarity

24.

(C) 500

No. of oxalic acid molecules in 100 mL of 0.02 N oxalic acid are (A) 6.023 × 1020

23.

(B) 200

(B) Molality

(C) Formality

(D) Normality

The hydrated salt, Na2SO4. nH2O undergoes 55.9% loss in weight on heating and becomes anhydrous. The value of n will be (A) 5

(B) 3

(C) 7

(D) 10

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-3_PAGE #5

25.

Number of moles of NaOH required to neutralize 1 mole of H2SO4 will be (A) 1 (B) 2 (C) 3

26.

What are the products of electrolysis of one mole of pure distilled water? (A) 2 g of H2 gas and 16 g of O2 gas are produced (B) 8 g of H2 gas and 8 g of O2 gas are produced (C) 4 g of H2 gas and 32 g of O2 gas are produced (D) None of these

27.

A piece of sodium weighs 0.023 g. The number of atoms present in it are(A) 6.023 × 1020 (B) 60.23 × 1022 (C) 6.023 × 1021

28.

29.

30.

32.

(D) 6.023 × 1019

Which one of the phrases would be incorrect to use? (A) a mole of an element (C) an atom of an element

(B) a mole of a compound (D) an atom of a compound

The volume of 1g helium at NTP in litres is (A) 5.6 (B) 0.56

(C) 2.8

(D) 11.2

If 1 g of oxygen contains X atoms , what will be the number of atom in 1 g of aluminium ? ( Atomic mass : O = 16 u , Al = 27 u) (A)

31.

(D) 5

16 x 27

(B)

27 x 16

(C) (A) & (B) both

(D) none of these

Trypsin differs from pepsin in digestion of proteins in (A) Acidic medium (B) Alkaline medium

(C) Neutral medium

(D) All of the above

Bundle of His is found in (A) Heart

(C) Ventricle

(D) Sinus Vinosus

(B) Auricle

33.

One person having blood group B requires transfusion. Blood which can be given should belong to group. (A) A and AB (B) O and A (C) O and B (D) B and AB

34.

The carbon dioxide acceptor in calvin cycle/C3 plants is (A) Phospho - enol pyruvate (PEP) (B) Ribulose Bis phosphate (RuBP) (C) Phospho glyceric acid (PGA) (D) Ribulose mono phosphate (RMP)

35.

Pulmonary artery carries (A) Pure blood from heart to lungs (C) Impure blood from heart to lungs

(B) Pure blood from heart to stomach (D) Pure blood from lungs to heart

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-3_PAGE #6

36.

Kidney shaped nucleus occurs in (A) Neutrophil

37.

39.

40.

(C) Monocyte

(D) Lymphocyte

(C) Intestinal juice

(D) Saliva

Ptyalin is an enzyme present in (A) Gastric juice

38.

(B) Eosinophil

(B) Pancreatic juice

Oxidative phosphorylation is production of (A) ATP in photosynthesis

(B) NADH in photosynthesis

(C) ATP in respiration

(D) NADH in respiration

A specific function of light in the process of photosynthesis is (A) Reduction of CO2

(B) Activate other milecule

(C) Split water molecules

(D) None of the above

The name of disease connected with Rh factor is(A) haemoglobin

(B) erythropoiesis

(C) myxoedema

(D) erythroblastosis

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-3_PAGE #7

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