test paper-1 (05-10-11)

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IJSO(STAGE-I) WORK SHOP TEST PAPER -1 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 IIT-JEE | AIPMT | AIEEE | OLYMPIADS | KVPY | NTSE PCCP OFFICE : Address : C-8, Lakshya, Nursery Plots, Talwandi, Kota (Rajasthan)-324005 Tel. No. :. +91-0744-3022244,3022245, Fax : 022-39167222 | Website : www.pccp.resonance.ac.in E-mail : [email protected]

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Page 1: Test Paper-1 (05-10-11)

IJSO(STAGE-I)

WORK SHOP

TEST PAPER -1

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

IIT-JEE | AIPMT | AIEEE | OLYMPIADS | KVPY | NTSE

PCCP OFFICE :

Address : C-8, Lakshya, Nursery Plots, Talwandi, Kota (Rajasthan)-324005Tel. No. :. +91-0744-3022244,3022245, Fax : 022-39167222 | Website : www.pccp.resonance.ac.in

E-mail : [email protected]

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

TEST PAPER-1

1. How many numbers lie between 11 and 1111 which when divided by 9 leave a remainder of 6 and whendivide by 21 leave a remainder of 12?(A) 16 (B) 17 (C) 18 (D) 19

2. Find the HCF of (2315 � 1) and (225 �1) is

(A) 5 (B) 2 (C) 31 (D) None of these

3. r

r

r141

r

3.3

39

= k, then the value of k is

(A) 3 (B) 32 (C) 33 (D) r 3

4. Find the last digit of the expression:12 + 22 + 32 + 42 + ......... + 1002.(A) 0 (B) 5 (C) 1 (D) 7

5. p,q, r are the decimal numbers and [x] means the greatest integer less than or equal to x and A = [p + q+ r] and B = [p]+[q] + [r], then the maximum value of A � B is :

(A) 0 (B) 2 (C) 2.99 (D) None of these

6. (a+1) (b�1) = 625 ; (a b) I+ then the value of a + b is :(A) a + b 25 (B) a + b 50 (C) a + b 25 (D) a + b 50

7. In a bangle shop, the shopkeeper displays the bangles in the from of a square then he is left with 38bangles with him. If he wanted to increase the size of square by one unit each side of the square hefound that 25 bangles fall short of in completing the square. The actual number of bangles which he hadwith him in the shop was :(A) 1690 (B) 999 (C) 538 (D) can not be determine

8. If ab, cd, ba and dc are two digit numbers then the maximum value of (ab×cd)�(ba ×dc) is , where a, b, c,

d are distinct non-zero integers :(A) 7938 (B) 7128 (C) 6930 (D) None of these

9. If uv + vw + wx = 0 for every negative integer u,v, w, x the value of u × v × w × x is necessarlily be :

(A) 0 (B) less than zero (C) even (D) odd

10. When (1!)1! + (2!)2! + (3!)3! + ... + (100!)100! is divided by 5, the remainder obtained is :(A) 2 (B) 0 (C) 4 (D) None of these

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WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-1_PAGE #2

11. In the given network of four resistances, the equivalent resistance is

(A) 20 (B) 5.4 (C) 12 (D) 4.5

12. Find the equivalent resistance between terminals A and B. Each resistor is of resistance R.

(A) 1.5 R (B) 2.5 R (C) 2.0 R (D) 1 R

13. The equivalent resistance between the points A and B is

(A) 9R5

(B) 3R2

(C) R (D) None of these

14. Find current in the branch CD of the circuit (in ampere).

(A) 16 A (B) 15 A (C) 2A (D) None of these

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

15. A circuit shown in figure consists two ideal batteries connected in series through two resistances.Find the value of current in the circuit.

R1

a

b c

dR2

(A) 0.5 A (B) 0.6 A (C) 0.7 A (D) 0.4 A

16. In the circuit shown, the galvanometer reads zero. If battery H has negligible internal resistance, thevalue of X in is:

(A) 10 (B) 100 (C) 200 (D) 500

17. 5 charges each of magnitude 10�5 C and mass 1 kg are placed (fixed) symmetrically about a movablecentral charges of magnitude 5 × 10�5C and mass 0.5 kg as shown. The charges at P

1 is removed. The

acceleration of the central charge is :

P1

P2

P3 P4

P5

O

[Given OP1 = OP

2 = OP

3 = OP

4 = OP

5 1 m ;

041

= 9 × 109 in SI units]

(A) 9 m s�2 upwards(B) 9 m s�2 downwards(C) 4.5 m s�2 upwards(D) 4.5 m s�2 downwards

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

18. A uniform wire of resistance R is stretched uniformly n times & then cut to form five identicalwires. These wires are arranged as shown in the figure. The effective resistance between A & Bwill be:

(A) 5Rn

(B) 2n5

R(C)

5Rn2

(D) 2Rn2

19. In the circuit shown:

Find the potential difference between points A and C.

(A) 2 V (B) 3.5 V (C) 5 V (D) 6.5 V

20. The lengths of three wires of same metal and same thickness are in the ratio 1 : 2 : 3. If we join them inparallel and then connect to battery, what will be the ratios of current in them ?(A) 1 : 2 : 3 (B) 6 : 5 : 4 (C) 6 : 3 : 2 (D) 3 : 2 : 1

21. In Lother Meyer�s curve most electronegative elements or halogens occupied -

(A) peaks (B) ascending positions(C) descending positions (D) halogens were not shown

22. The properties of the elements are the periodic function of their atomic numbers. This statement wasgiven by -(A) N. Bohr (B) J.W. Dobereiner (C) D.I. Mendeleev (D) H.G.J. Moseley

23. In the long form of periodic table lanthanides are placed in the -(A) 2nd period (B) 5th period (C) 6th period (D) 7th period

24. The correct order of second I.E. of C,N,O and F is -(A) F > O > N > C (B) C > N > O > F (C) O > N > F > C (D) O > F > N > C

25. I.E increases with -(A) decrease in atomic size. (B) increase in nuclear charge.(C) increase in penetration effect of electrons. (D) All of the above

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WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-1_PAGE #5

26. M+ + E. M+2 + e�

The ionisation energy in the above equation is -

(A) I.E.1

(B) I.E.2

(C) I.E.3

(D) None of these

27. The formation of the oxide ion O2�(g) requires first an exothermic and then an endothermic step as shown

below -

O(g) + e� O�(g) ; Hº = �14.2 KJ/mol

O�(g) + e� O2�(g) ; Hº = 844 KJ/mol

What does it show ?

(A) O� ion will tend to resist the addition of another electron.

(B) Oxygen is more electronegative.

(C) Oxygen has high electron affinity.

(D) O� ion has comparatively larger size than oxygen atom.

28. Largest in size out of Na+, O�2 and K+ is -

(A) Na+ (B) O� 2 (C) K+ (D) all are equal

29. Elements which have zero valency are -

(A) helium and neon (B) oxygen and nitrogen (C) silver and gold (D) iron and zinc

30. Which of the following transitions involves maximum amount of energy ?

(A) M�(g) M (g) (B) M(g) M�(g)

(C) M+(g) M2+(g) (D) M2+(g) M3+(g)

31. In an eukaryotic cell most of the hydrolytic enzymes are located.

(A) Inside the lysosomes for the digestion of ingested particles

(B) On the chromosomes for splitting of chromatids during cell division.

(C) On the outer surface of the plasma membrane for cellular defence

(D) Inside the mitochondrial matrix for the formation of electrochemical proton gradient.

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WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-1_PAGE #6

32. Match list-I with list-II and select the correct answer using the codes given below the lists.

List-I List-II

APairing of homologouschromosomes

Chiasmata

B

Actual inter change of complex segments between two homologouschromosomes

Synaptonemal complex

C

Protein body formed between paired homologous chromosomes

Synapsis

D

The cross shaped configuration visible at diplotene between homologous chromosomes

Crossing over

Codes :A B C D

(A) 4 3 1 2(B) 3 4 1 2(C) 3 4 2 1(D) 4 3 2 1

33. Ribosome (80S) can be dissociated into two sub units (60S and 40S). The two sub units again can re-form the 80S unit. What is divalent cation in the presence of which such conversions take place?(A) Mg2+ (B) Ca2+ (C) Fe2+ (D) Cu2+

34. Which of the following cell membrane components serve as recognition signals for interactions betweencells?(A) Recognition proteins (B) Glycolipids or glycoproteins(C) Phospholipids (D) Integral proteins

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WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-1_PAGE #7

35. In which part of the excretory system of mammals you can first use the term urine for fluid it contains ?

(A) Bowman�s capsule (B) Loop of Henle (C) Collecting tubule (D) Urinary tubule

36. Glucose is taken back from glomerular filtrate through

(A) Active transport (B) Passive transport

(C) Osmosis (D) Diffusion

37. Meristematic tissues of plants include

(A) mature fruits, tips of stem and root, cork cambium

(B) stem and root tips, vascular cambium, cork cambium

(C) vascular cambium , cork cambium, tips of mature leaves

(D) tips of mature leaves, mature fruits

38. The hardness of the bone tissue is mainly due to the phosphates and carbonates of

(A) calcium and sodium (B) calcium and magnesium

(C) magnesium and sodium (D) magnesium and potassium

39. A simple tissue with both mechanical and physiological functions in young dicotyledonous plants is

(A) Meristematic tissue (B) Parenchyma

(C) Sclerenchyma (D) Collenchyma

40. Characteristics of smooth muscle fibres are :

(A) Spindle-shaped, unbranched, unstriated, uninucleate and involuntary

(B) Spindle shaped, unbranched, unstriped, multinucleate and involuntary

(C) Cylindrical, unbranched, unstriped, multinucleate and involuntary

(D) Cylindrical, unbranched, striated, multinucleate and voluntary