Mathematics Test 177

Result

Mathematics Test 177

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Weekly Quiz Competition

Question 1
4 / -1

The marks of some students were listed out of 75. The SD of marks was found to be 9. Subsequently the marks were raised to a maximum of 100 and variance of new marks was calculated. The new variance is

A
144

B
122

C
81

D
None of these

Solution
Question 2
4 / -1

Let A, B, C be three events. If the probability of occurring exactly one event out of A and B is 1– a, out of B and C is 1– 2a and out of C and A is 1 – a, and that of occurring three events simultaneously is a2, then the probability that at least one out of A, B, C will occur is

A
1/2

B

C

D

Solution
Question 3
4 / -1

A
f(x) = sin² x, g(x) = √x

B
f(x) = sin x, g(x) = | x |

C
f(x) = x², g(x) = sin √x

D
f and g cannot be determined

Solution
Question 4
4 / -1

A
π/2

B
π/4

C
2π/3

D
None of these

Solution
Question 5
4 / -1

If B is an idempotent matrix, and A = I – B, then

A
A² = A

B
A² = I

C
AB = I

D
BA = I

Solution
Question 6
4 / -1

A
S₆

B
S₅- S₃

C
S₆- S₄

D

Solution
Question 7
4 / -1

If g is the inverse function of f and f '(x) = sin x, then g '(x) is

A

B

C

D

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

A
2√2

B
2(√2-1)

C
√2 + 1

D
None of these

Solution
Question 10
4 / -1

What is the area of the parabola y² = 4bx bounded by its latus rectum?

A
2b²/3 square unit

B
4b²/3 square unit

C
b² square unit

D
8b²/3 square unit

Solution