Mathematics Test

Result

Mathematics Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A
564

B
645

C
735

D
756

Solution

We may have (3 men and 2 women) or (4 men and 1 woman) or ( 5 men only)

We may have (3 men and 2 women) or (4 men and 1 woman) or ( 5 men only)
Question 2
1 / -0

A

B

C

D
none of these

Solution
Question 3
1 / -0

The circles which can be drawn to pass through (1,0) & (3,0) and touching the y-axis, intersect at an angle θ. The value of cos θ is equal to

A
1/2

B
1/√2

C
1/4

D
√3/2

Solution
Question 4
1 / -0

Let f(x) be a continuous function such that f(a – x) + f(x) = 0 for all x[0,a]. Then, the value of the integral is equal to

A
a

B
a/2

C
fA.

D
1/2 fA.

Solution
Question 5
1 / -0

A

B

C

D
none of these

Solution
Question 6
1 / -0

The coefficient of the term independent of x in the expansion of

A
1/3

B
19/54

C
17/54

D
1/4

Solution
Question 7
1 / -0

Which of the following statements is not correct?

A
log₁₀10 = 1

B
log (2 + 3) = log (2 x 3)

C
log₁₀1 = 0

D
log (1 + 2 + 3) = log 1 + log 2 + log 3

Solution
Question 8
1 / -0

A tangent having slope of intersects the major and minor axes in points A and B respectively. If C is the center of the ellipse then the area of the triangle ABC is:

A
12 sq. units

B
24 sq. units

C
36 sq. units

D
48 sq. units

Solution

From symmetry of ellipse it is obvious that area of the triangle ABC will be same with respect either tangent. Let us consider
Question 9
1 / -0

The set of all values of the parameter a for which the points of minimum of the function y = 1 + a² x – x³

A
an empty set

B

C

D

Solution
Question 10
1 / -0

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis, is:

A

B

C

D

Solution