CET / SIET SCHOLARSHIP PRACTICE- TEST 2 (SUBJECT: MATHEMATICS)

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"Please Answer all the Questions to know the correct Answers in view score after submission" .

(Estimated Answering Time Duration: 60 Min to 75 Min)

1. The set builder form of A = {-1,1} is

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

2. If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets A × B and B × A is

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

1 point

Clear selection

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

5. The angle between the hands of a clock when the time is 3.20 is

1 point

π/18

π/9

π/6

π/8

Clear selection

6. If the length of a chord is half of the length of the diameter of the circle, then the angle subtended by the chord at the centre of the circle is

1 point

π/3

π/6

π/4

2π/3

Clear selection

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

1 point

Clear selection

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

10.

1 point

First quadrant

Second quadrant

Third quadrant

Fourth quadrant

Clear selection

11. The total number of 9 digit numbers which have all different digits is

1 point

10!

9 × 9!

10 × 10!

Clear selection

12. Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

1 point

120

7200

720

Clear selection

13.

1 point

7/8

5/8

3/8

1/8

Clear selection

14.

1 point

7/8

8/7

23/24

21/22

Clear selection

15. If a, a – 2, 3a are in A.P., then a is

1 point

-2

-3

Clear selection

16.

1 point

π/6

π/3

π/4

π/5

Clear selection

17. The area (in square units) of a triangle with integral co- ordinates cannot be

1 point

0.5

0.2

Clear selection

18. The mid points of the sides of a triangle are (1, 1), (2, 3) and (3, 4). The area of the triangle, in square units is

1 point

Clear selection

19.

1 point

(4, -8)

(-2, -16)

(-8, 16)

(-2, 8)

Clear selection

20. A circle and a square have the same perimeter. Then

1 point

their areas are equal

area of the circle is larger

area of the square is larger

area of the circle is π times the area of the square

Clear selection

21. The fourth vertex of the parallelogram ABCD whose three vertices are A(0, 1, 2), B(2, -1, 3) and C (1, -3, 1) is

1 point

(1, 1, 0)

(-1,4,0)

(-1,1,0)

(-1,-1,0)

Clear selection

22. If a wheel makes 120 revolution in one minute, then the angle in radians covered by the wheel in 2 seconds is

1 point

4π

6π

8π

2π

Clear selection

23.

1 point

Clear selection

24.

1 point

π/3

π/6

2π/3

Clear selection

25. Sum of all the integers between 100 and 200 which are not divisible by 2 is

1 point

7,000

7,550

7,500

7,250

Clear selection

26.A circle and a square have the same perimeter. Then

1 point

their areas are equal

area of the circle is larger

area of the square is larger

area of the circle is π times the area of the square

Clear selection

27. The fourth vertex of the parallelogram ABCD whose three vertices are A(0, 1, 2), B(2, -1, 3) and C (1, -3, 1) is

1 point

(1, 1, 0)

(-1,4,0)

(-1,1,0)

(-1,-1,0)

Clear selection

28.The Probability of obtaining an even prime number on each die, when a pair of dice is rolled is

1 point

1/3

1/12

1/36

Clear selection

29. The number of nine digit numbers that can be formed from the number 223355888 by rearranging its digits so that odd digits occupy even positions is

1 point

180

Clear selection

30. In how many ways can a committee of 5 people be formed from among 6 men and 4 ladies if the committee has to contain exactly 3 ladies?

1 point

Clear selection

31. Of the following compound statements the true compound statement is

1 point

A line is straight and extends indefinitely in both directions

0 is less than every positive number and every negative number

Square root of 3 is a rational number or 2 is an irrational number

125 is a multiple of 4 or 7

Clear selection

32. Of the following the proposition which is not correct is

1 point

√2 is irrational

Delhi is capital of India

The Sun is a star

√(3 ) is a prime

Clear selection

33. The mean and the variance for the data 6, 7, 10, 12, 13, 4, 8, 12 are respectively

1 point

8, √26.25

9,√9.25

8,26.25

9,9.25

Clear selection

34. Coefficients of variation of two distributions are 60 and 70 and their standard deviations are 21 and 16 respectively. The arithmetic means are

1 point

35, 20

35, 22.85

30, 22.85

30, 20

Clear selection

35. A student has to write an examination which contains 5 questions of true or false type. He will pass if he answers at least 3 questions correctly. The probability that he passes the exam is

1 point

1/2

1/3

Clear selection

36. A three digit number is to be formed by using the digits 0, 2, 4, 1, 3 without repetition. If a three - digit number is selected at random out of these numbers, then the probability that it is an even number is

1 point

3/16

5/8

7/24

24/7

Clear selection

37. In a ∆ABC, if A = 60 degree , B = 30 degree and b = 5, then the value of a is

1 point

√15

5 √3

√(3 )

3√5

Clear selection

38. In a triangle ABC, a[b cos⁡ C - c cos⁡ B ] =

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

39. Let R = {(1,3 ),(4,2),(2,4),(2,3),(3,1)} be a relation on he set A = {1, 2, 3, 4}. The relation R is

1 point

not symmetric

transitive

a functional

reflexive

Clear selection

40.

1 point

* both associative and commutative

* commutative but not associative

* associative but not commutative

* neither commutative nor associative

Clear selection

41.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

42.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

43.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

44.

1 point

(8, 7)

(-7, 8)

(8, -7)

(-8, -7 )

Clear selection

45.

1 point

f(x) + g(x)

f(x) - g(x)

f(x) . g(x)

g(x)/f(x)

Clear selection

46.

1 point

not differentiable at x = 1

differentiable at x = 1

not continuous at x = 1

both continuous and differentiable at x =1

Clear selection

47.

1 point

3B + 1

-3B

1- 3B

Clear selection

48.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

49.

1 point

1/3

- 3

-1/3

Clear selection

50.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

51.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

52.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

53.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

54.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

55.

1 point

π/2

π/3

π/4

Clear selection

56.

1 point

8/3

3/8

3/2

2/3

Clear selection

57.

1 point

Not defined

Clear selection

58.

1 point

Option 1

Option 2

Option 3

Option 4

Clear selection

59. If a is a non zero vector of magnitude ‘a’ and λ a nonzero scalar, then λa is unit vector if

1 point

λ=1

λ= -1

a = |λ|

a = 1/|λ|

Clear selection

60. The vectors (i ) + x (j ) +3(k ) is rotated through an angle θ and is doubled in magnitude, then it becomes 4(i ) + (4x -2) (j ) + 2k. then the value of x is

1 point

-2/3 , 2

1/3 , 2

2/3 , 0

2, 7

Clear selection

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