Mathematics Test 239

Result

Mathematics Test 239

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

If f (x) is of period 3 and g(x) is of period 2, then the period of the function

A
6

B
12

C
18

D
36

Solution
Question 2
4 / -1

If the derivative of the function is everywhere continuous, then

A
a = 2, b = 3

B
a = 3, b = 2

C
a = – 2, b = – 3

D
a = – 3, b = – 2

Solution
Question 3
4 / -1

Let f"(x) be continuous at x = 0 and f"(0) = 4, then

A
2

B
11

C
12

D
none of these

Solution
Question 4
4 / -1

The set of values of a, such that the equation has two distinct real roots is given by

A
[0, 1]

B
(–∞, 0)

C
[0, ∞)

D

Solution
Question 5
4 / -1

A
1

B
-1

C
1/2

D
-1/2

Solution
Question 6
4 / -1

If the set of natural numbers is partitioned into subsets S₁ = {1}, S₂ = {2, 3}, S₃ = {4, 5, 6} and so on, then the sum of the terms in S₅₀ is

A
62525

B
25625

C
62500

D
none of these

Solution

Calculation:

Given, S₁ = {1}, S₂ = {2, 3}, S₃ = {4, 5, 6}
Question 7
4 / -1

then the solution of the equation is

A

B

C

D
none of these

Solution
Question 8
4 / -1

Through the point P(α, β) where αβ > 0, the straight line is drawn so as to form a triangle of area S with coordinate axes. Then least value of S is

A
αβ

B

C
2 αβ

D
4 αβ

Solution

Calculation:
Question 9
4 / -1

The coefficient of x¹⁰in the expansion of (1 + x² – x³)⁸ is

A
476

B
496

C
506

D
528

Solution
Question 10
4 / -1

If the equation of base of an equilateral triangle is 2x – y = 1 and the vertex is (–1, 2), then the length of the side of the triangle is

A

B

C

D

Solution