for class 10 moving · 2019-09-19 · 25. light is incident normally on face ab of a prism as shown...

$: for Class 10 moving · 2019-09-19 · 25. Light is incident normally on face AB of a prism as shown in figure. A liquid of refractive index is placed on face AC of the prism. The$
MTSE(SCHOLARSHIP & ADMISSION TEST)

for

Class 10th to 11th movingTime: 120 Mins. Max. Marks: 180

VERY IMPORTANT :

A. The question paper consists of 3 sections (Reasoning, Science, Mathematics).

Please fill the OMR answer Sheet accordingly and carefully.

B. Please ensure that the Question Paper you have received contains All the questions in each Section and

Pages. If you found some mistake like missing questions or pages then contact immediately to the Invigilator.

INSTRUCTIONS

1. All questions are Single correct type questions. Each of these questions has four choices (A), (B), (C)

and (D) out of which ONLY ONE is correct.

For each question, you will be awarded 3 marks if you have darkened only the bubble corresponding to

the correct answer and zero mark if no bubble are darkened. In all other cases, (–1) negative mark will be

awarded.

2. Indicate the correct answer for each question by filling appropriate bubble in your answer sheet.

3. Use of Calculator, Log Table, Slide Rule and Mobile is not allowed.

USEFUL DATA

Atomic weights: Al = 27, Mg = 24, Cu = 63.5, Mn = 55, Cl = 35.5, O = 16, H = 1, P = 31, Ag = 108, N = 14,

Li = 7, I = 127, Cr = 52, K=39, S = 32, Na = 23, C = 12, Br = 80, Fe = 56, Ca = 40, Zn = 65.5, Ti = 48,

Ba = 137, U = 238, Co= 59, B =11, F = 19, He = 4, Ne = 20, Ar = 40 , Mo = 96, Ni = 58.5, Sr = 87.5,

Hg = 200.5 , Tl = 204, Pb = 207 [Take : ln 2 = 0.69, ln 3 = 1.09, e = 1.6 × 10–19, me= 9.1 × 10–31 kg ]

Take g = 10 m/s2 unless otherwise stated

Code A

10TH

2MATRIX HIGH SCHOOL : Piprali Road , Sikar Ph. 01572-242911, Mob. 97832-62999

Space for rough work

SECTION - 1 : REASONING[SINGLE CORRECT CHOICE TYPE]

Q.1 to Q.20 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.

1. What will be the number of parallelograms in the given figure ?

(A) 15 (B) 17 (C) 13 (D) 162. A sheet has been folded in the manner as shown in X, Y and Z respectively and punched. You have to choose

from the alternatives how it will look when unfolded.

(A) (B) (C) (D)

3. On what dates of August 2020 will Monday fall :(A) 3, 10, 17, 24, 31 (B) 5, 12, 19, 26 (C) 1, 8, 15, 22, 29 (D) None of these

4. In the following question, two statements 1 and 2 are followed by two conclusions I, II. You have to take the

given statements to be true even if they appear to be at variance with commonly known facts, and then decide

which of the conuclusions logically follow(s) from the given statements. For given question, mark out an

appropriate answer choice that you think is correct.

Statements : 1. All students are boys. 2. No boy is dull.

Conclusions : I. There is no girl student in the class. II. No student is dull

(A) Only conclusion I is true (B) Only conclusion II is true

(C) Both conclusion I and II are true (D) neither conclusion I nor conclusion II is true

REASONING

10TH



REASONING

5. If A + B means A is the brother of B, A – B means A is the father of B, A × B means A is the wife of B,

then P × R – S + T means(A) P is the mother of T. (B) T is the sister of P.(C) R is the grand father of T. (D) T and R are sisters.

Direction (6 – 9) : Read the following information carefully to answer the given questions :A word and number arrangement machine when given an input line in words and numbers, rearrang themfollowing a particular rule in each step. The following is an illustration of input and rearrangment.Input : goal 63 57 home five task 82 17Step I : 82 goal 63 57 home five task 17Step II : 82 five goal 63 57 home task 17Step III : 82 five 63 goal 57 home task 17Step IV : 82 five 63 goal 57 home 17 taskAnd Step IV is the last output.As per the rules followed in the above steps, find out in each of the following questions the appropriate step forthe given input.

6. Input : host 15 32 page 43 over mother 92Which of the following steps will be the last but one ?(A) IV (B) V (C) VI (D) VII

7. Step II of an input is : 67 cat 12 25 dog fight man 42.Which of the following will be Step V ?(A) 67 cat 42 dog 25 fight 12 man(B) 67 cat 42 dog 25 12 fight man(C) 67 cat 42 dog 12 25 fight man(D) 67 cat 42 12 25 dog fight man

8. Input : word 23 new 47 major 13 62 deskWhich of the following will be Step V for the above input ?(A) 62 desk 47 mejor world 23 new 13(B) 62 desk 47 world 23 new major 13(C) 62 desk 47 major 23 world new 13(D) 62 desk 47 major 23 new world 13

9. Step III of an input is : 81 boat 73 wheel spike dancer 32 59How many more steps are required to complete the rearrangment ?(A) Two (B) Three (C) Four (D) Five

10TH



REASONING

10. In the following question, three sequences of letter/numbers are given which correspond to each other in someway. In given question, you have to find out the letter/numerals that come in the vacant places marked by (?).These are given as one of the four alternative under the question. Mark your answer as instructed.A _ B A C _ D _ B C D C_ 4 _ 3 _ 2 _ 5 ? ? ? ?d c _ _ b a c b _ _ _ _(A) 2 4 5 4 (B) 2 5 4 5 (C) 3 4 5 4 (D) 4 5 2 5

11. Find the missing letters :ABHR, EFIO, IJJL, MNKI, ?, UVMC(A) QRLM (B) QRST (C) QULM (D) QRLF

12. Find the missing numbers :2, 5, 4, 10, 7, 15, 11, 20, ?, ?

(A) 12, 21 (B) 16, 25 (C) 13, 25 (D) 17, 30

Direction (13 – 15) : Study the following information carefully and answer the question given below it :

(i) A, B, C, D, E and F are six members in a family in which there are two married couples.

(ii) E, a teacher is married to the doctor who is mother of C and F.

(iii) B, the lawyer is married to A.

(iv) A has one son and one grandson.

(v) Of the two married ladies one is a housewife

(vi) There is also one student and one male Engineer in the family.

13. How is A related to C ?

(A) Grand father (B) Mother (C) Sister (D) Grand mother

14. Who among the following is the housewife ?

(A) A (B) B (C) D (D) None of these

15. How is C related to F ?

(A) Brother (B) Sister (C) Brother or Sister (D) None of these

10TH



REASONING

Direction (16 – 18) : In the following questions, the symbols @ % and $ are used with time following meaningsas illustrated below :'P @ Q' means 'P is either greater than or equal to Q';'P Q' means 'P is either smaller than or equal to Q';'P % Q' means 'P is greater than Q';

'P Q' means 'P is smaller than Q';'P $ Q' means 'P is neither greater than nor smaller than Q'.Now, in each of the following questions, assuming the given statement to be true, find which of the conclusionis true.

16. Statements : H % J, B J, B @ FConclusions : I. F $ J II J % F(A) if only conclusion I is true (B) if only conclusion II is true(C) if either conclusion I or II is true (D) if neither I nor II is true.

17. Statement : D $ M, M % W, W @ R

Conclusions : I. R D II. W D(A) if only conclusion I is true (B) if only conclusion II is true(C) if either conclusion I or II is true (D) if neither I nor II is true.

18. Statement : A N, N V, V $ JConclusions : I. J @ N II. A V(A) if only conclusion I is true (B) if only conclusion II is true(C) if either conclusion I or II is true (D) if neither I nor II is true.

10TH



REASONING

19. Which one number can be placed at the sign of interrogation ?

(A) 5 (B) 6 (C) 8 (D) 920. In the following question, a number series is given. After the series, below it in the next line, a number is

given followed by (P), (Q), (R), (S) and (T). You have to complete the series starting with the number givenfollowing the sequence of the given series. Then answer the question given below it.2 3 8 275 (P) (Q) (R) (S) (T)Which of the following will come in place of (T) ?(A) 184 (B) 6 (C) 925 (D) 45

10TH


SECTION - 2 : SCIENCE[SINGLE CORRECT CHOICE TYPE]


21. PQRS shows the walls of room each measuring 8 m, such that wall PQ has a full length plane mirror. A camerais placed at M the mid point of wall SR. In order to take clear image of the point R, the camera should befocused at :

(A) 4 m (B) 8 m (C) 16 m (D) more than 16 metres

22. A ray of light travels from a medium of refractive index n into air. If the angle of incidence at the plane surfaceof separation is and the corresponding angle of deviation is , the variation of with is shown correctly inthe figure:

(A) (B) (C) (D)

SCIENCE


10TH


SCIENCE

23. Two plane mirros A and B are aligned parallel to each other as shown in the figure.

A light ray is incident at an angle 30º at a point just inside one end of A. The plane of incidence coincides with

the plane of the figure. The maximum number of times the ray undergoes reflections (including the first one),

before it emerges out, is

(A) 28 (B) 30 (C) 32 (D) 34

24. A mirror is broken into two parts and these parts are separated by a distance of 1 cm as shown in figure. Thefocal length of the mirror is 10 cm. The height of the images (in cm), formed by the two parts of mirror when theobject is midway between the two principal axes are :

(A) 1, 1 (B) 1, 2 (C) 2, 2 (D) 0.5, 1


10TH



SCIENCE

25. Light is incident normally on face AB of a prism as shown in figure. A liquid of refractive index is placed onface AC of the prism. The prism is made of glass of refractive index 3/2. The limits of for which total internalreflection takes place on face AC is:

(A) 3 3

2 (B) 3 (C)

3 3

4 (D)

3 3

8

26. A ring is made of a wire having a resistance 12 . The points P and Q as shown in figure, at which a currentcarrying conductor should be connected, so that the resistance of the sub circuit between these points is equal

to 8

3 , divide the ring in lengths l

1 and l

2. then

(A) 1

2

1

4

l

l (B) 1

2

1

2

l

l (C) 1

2

2

3

l

l (D) 1

2

3

5

l

l

10TH



SCIENCE

27. Consider a thin square sheet of side x and thickness y made of a material of resistivity . The resistancebetween two opposite faces, shown by the shaded areas in the figure is :

(A) Directly proportional to x (B) Directly proprotional to y

(C) Independent of x (D) Independent of y.

28. Trypsin differs from pepsin because it digests :

(A) Carbohydrate in alkaline medium in stomach

(B) Protein, in alkaine medium in stomach

(C) Protein, in acidic medium of stomach

(D) Protein, in alkaine medium in duodenum

29. In a sperm, the mitochondria occur :

(A) In tail (B) In acrosome (C) In middle piece (D) In head

10TH



30. Hepatic portal system starts from

(A) Digestive system to liver (B) Kidney to liver

(C) Liver to heart (D) Liver to kidney

31. By the contraction in diaphragm volume of thoracic chamber increases in the :-

(A) Dorso-ventral axis (B) Antero-posterior axis

(C) Dorso-posterior axis (D) Antero-ventral axis

32. Find out incorrect labelling in following diagram

Hypothalamus

Hypothalamic neuclei

Posterior pituitary

Portal circulation

Anteriorpituitary

Axonal transport

(A) Axonal transport and Anterior pituitary (B) Portal circulation and Posterior pituitary

(C) Anterior pituitary and Posterior pituitary (D) Portal circulation and Axonal transport

SCIENCE

10TH



33. Which of the following answer shows the correct arrangement of nerve fibre.

(A)(A) Centrifugal (B) Efferent (C) PNS. (D) ANS (E) Parasympathetic

(B) (A) Centripetel (B) Afferent (C) PNS. (D) ANS (E) Parasympathetic

(C) (A) Centrifugal (B) Afferent (C) SNS (D) ANS (E) Parasympathetic

(D) (A) Centripetel (B) Efferent (C) SNS. (D) ANS (E) Parasympathetic

34. Which of the following is not observed in a monohybrid cross–

(A) Recessive parental trait is expressed without any blending in the F2-generation

(B) Recessive parental trait is expressed without any blending in the F1-generation

(C) Dominance also explains the proportion of 3 : 1 obtained at the F2

(D) Genotype ratio is 1 : 2 : 1

SCIENCE

10TH


35. For azimuthal quantum number l = 3 , the maximum number of electrons will be :(A) 2 (B) 6 (C) zero (D) 14

36. The IUPAC name of the given compound

3 3

3

CH — CH — C CH — CH| |OH CH

is -

(A) 1,2-Dimethyl-2-butenol (B) 2,3-Dimethyl-3-pentenol

(C) 3,4-Dimethyl-2-buten-4-ol (D) 3-Methyl-3-penten-2-ol

37. NaCN is sometimes added in the floth flotation process as a depresessant when ZnS and PbS minerals are

expected because

(A) Pb(CN)2 is precipitated while no effect on ZnS.

(B) ZnS forms soluble complex Na2[Zn(CN)

4] while PbS froth

(C) PbS forms soluble complex Na2[Pb(CN)

4] while ZnS forms froth

(D) NaCN is never added in forth floatation process

38. Out of Fe+2, Fe+3, Mn+2, Ti+2 least size is of

(A) Mn+2 (B) Ti+2 (C) Fe+2 (D) Fe+3

39. pH of a solution to given by the expression

(A) – log [H+] (B) ]Hlog[

1 (C)

]H[

1 (D) Both A and B

40. Identify the missing a, b and c.

3 2 2(aq) ( ) ( ) ( ) 3HaBr BrO aq bH aq cBr aq O (liquid)

(A) a = 5, b = 6, c = 3 (B) a = 6, b = 3, c = 5

(C) a = 3, b= 5, c = 6 (D) a = 6, b = 5, c = 3


SCIENCE

10TH



SECTION - 3 : MATHS[SINGLE CORRECT CHOICE TYPE]


41. If the sum of the digits of a number (10n – 1) is 4707, where n is natural number, then the value of n is :

(A) 477 (B) 523 (C) 532 (D) 704

42. If the sum of three consecutive odd numbers is a perfect square between 200 and 400, then the root of

this sum is :

(A) 15 (B) 16 (C) 18 (D) 19

43. If a2 + 2b = 7, b2 + 4c = – 7 and c2 + 6a = – 14, then the value of (a2 + b2 + c2) is :

(A) 14 (B) 25 (C) 36 (D) 47

44. Two dice are thrown together. Find the probability of getting.

(i) Sum of getting on the top of the two dice is greaer than 10.

(ii) Prime numbers on both dice.

(iii) A multiple of 5 on the first dice.

(i) (ii) (iii)

(A)1

12

1

6

1

6

(B)1

18

1

4

3

5

(C)1

12

1

4

1

6

(D)1

6

2

5

2

5

MATHS

10TH



MATHS

45. If sin (A + B) = 3 3

,cos(A B)2 2

and 0 < A + B < 90°, if A > B then the value of A and B are :

(A) A = 45°, B = 15° (B) A = 60°, B = 30° (C) A = 0°, B = 30° (D) A = 30°, B = 0°

46. In a given figure in trapezium ABCD if AB || CD then value of x is :

O

A B

D C

2 x-2

2x + 5 5

(A) 29

8(B)

8

29(C) 20 (D)

1

20

47. The mean of three positive number is 10 more than the smallest of the number and 15 less than the largest

of the three. If the median of the three numbers is 5, then the mean of square of the number is

(A) 2

1083

(B) 2

1163

(C) 2

2083

(D) 2

2163

10TH



MATHS

48. In the given figure, ABC is an equilateral triangle whose side is cm. A circle is drawn which passes through

the midpoints D, E and F of its sides. The area of the shaded region is

A

D F

EB C

(A) 214 3 3 cm

4 (B) 21

2 3 cm4

(C) 213 3 cm

4 (D) 21

3 3 cm4

49. If the height and radii of a cone and a hemishhere are same then the ratio of their volumes is

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

10TH



MATHS

50. Three circles with radii R1, R

2 and r tough each other externally as shown in the adjoining figure. If PQ is

their common tangent and R1 > R

2, then which of the following relations is correct ?

R1

P

r Q

R2

(A) R1 – R

2 = r (B) R

1 + R

2 = 2r (C)

1 2

1 1 1

R R r (D)

1 2

1 1 1

R R r

51. If the system of equations 3x + y = 1, (2k – 1)x + (k – 1)y, = (2k + 1), has no sulution, then the value of

k is

(A) 2 (B) 3 (C) – 2 (D) 1

52. If 5 9 13 .................to n terms 17

7 9 11 .............to (n 1) terms 16

, then n is equal to :

(A) 7 (B) 8 (C) 12 (D) 14

53. Evalute:

0 0 0

0 0 0 0 0

7 cos 70 3 cos55 cos 35

2sin 20 2 tan 5 tan 45 tan 85 tan 65

ec

(A) 1 (B) 0 (C) 4 (D) 5

54. For a frequency distribution, mean, median and mode are connected by which of the following

relations ?(A) Mode = 3 mean – 2 median (B) Mode = 2 median – 3 mean

(C) Mode = 3 median – 2 mean (D) Mode = 3 median + 2 mean

10TH



MATHS

55. A box contains 20 balls bearing numbers 1, 2, 3, 4,..............20. A ball is drawn at random from the box. The

probability that the number on the ball is divisible by 2 or 3 is :

(A) 1

2(B)

13

20(C)

2

5(D)

9

10

56. In the given figure, the circle with centres A, B, C respectively touch each other externally. If AB = 6

cm, BC = 5 cm and AC = 7 cm Then radius of circle with centre B is :

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

57. The angle of elevation of a cloud from a point situated at ‘a’ metre height form the lake is 30° and the angel

of depression of its reflection is 60°. Height of the cloud is :

(A) a

2(B) 4a (C) a (D) 2a

10TH


MATHS


58. The lower portion of a haystack is an inverted frustum and upper part is a cone as shown in the figure (not

drawn to scale). Find the total volume of the haystack.

(A) 2570.2 cm3 (B) 2250.2 cm3 (C) 660cm3 (D) 2360.2 cm3

59. If cos+ sin= 2 cos, then cos– sinis equal to :

(A) 2 cos (B) 2 sin (C) 2 cos (D) 2 sin

60. The meterial of a cone is coverted into the shape of cylinder of equal radius. If height of the cylinder is 4

cm, then height of the cone is :

(A) 8 cm (B) 4

cm3

(C) 12 cm (D) 16 cm

CLASS - X, CODE-A (SESSION-I)ANSWER KEYREASONING

1. B 2. D 3. A 4. C 5. A 6. A 7. B

8. C 9. C 10. B 11. D 12. B 13. D 14. A

15. C 16. C 17. A 18. D 19. D 20. C

SCIENCE21. D 22. A 23. B 24. A 25. C 26. B 27. C

28. D 29. C 30. A 31. B 32. D 33. D 34. B

35. D 36. D 37. B 38. D 39. D 40. A

MATHS

41. B 42. A 43. A 44. C 45. A 46. C 47. D

48. A 49. A 50. D 51. A 52. A 53. D 54. C

55. B 56. C 57. D 58. C 59. B 60. C

for class 10 moving · 2019-09-19 · 25. light is incident normally on face ab of a prism as shown...

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