# CTET December 2019 P2 Mathematics & Science Questions Paper Part 1

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# Mathematics & Science

31. How many pairs of twin primes are there between the integers 1 to 100?

A. 5

B. 6

C. 7

D. 8

32. If 21168 , where a, b and c are natural numbers, then what is the value of ?

A. 0

B. 1

C. 2

D. 3

33. Let x be the least number which when divided by 8, 12, 20,28, 35 leaves a remainder 5 in each case. What is the sum of digits of x?

A. 11

B. 14

C. 15

D. 17

34. What number should be subtracted from each of 50, 61,92, 117 so that the numbers, so obtained in this order, are in proportion?

A. 14

B. 17

C. 19

D. 23

35. A sum of ₹ 1,710 is divided in A, B and C such that 4 times of A, 6 times of B and 9 times of C are equal. What is the difference between A and C?

A. ₹ 360

B. ₹ 450

C. ₹ 480

D. ₹ 540

36. The number of fruits in baskets A and B are in the ratio 7: 9. If six fruits are taken out from A and put in B, then this ratio becomes 1: 3.

The total number of fruits in A and B is:

A. 28

B. 32

C. 36

D. 40

37. and are on the common base AB and on the same side of AB. , and AC = BD. Which of the following is true?

A.

B.

C.

D.

38. The sides of four triangles are given below:

i. 20 cm, 22 cm, 24 cm

ii. 15 cm, 32 cm, 37 cm

iii. 11 cm, 60 cm, 61 cm

iv. 19 cm, 40 cm, 41 cm

Which of them forms a right triangle?

A. i.

B. ii

C. iii

D. iv

39. The angle of a quadrilateral are in the ratio 3: 5: 7: 9. What is the difference between the least and the greatest angles of the quadrilateral?

A.

B.

C.

D.

40. The perimeter of a triangle is 12 cm. If all the three sides have lengths (in cm) , in integers, then how many such different triangles are possible?

A. 2

B. 3

C. 4

D. 5

41. A godown is in the shape of a cuboid whose length, breadth and height are 56 m, 42 m and 10 m respectively. How many (maximum) cuboidal boxes each measuring can be stored into the godown?

A. 2400

B. 3600

C. 4800

D. 5400