Mathematics Test

Result

Mathematics Test - 9

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Weekly Quiz Competition

Question 1
1 / -0

The number of ways in which a mixed double game can be arranged from amongst 9 married couples if no husband and wife play in the same game is-

A
756

B
1512

C
3024

D
none of these

Solution

1. We can choose two men out of 9 in 9C2 ways. Since no husband and wife are to play in the same game, two women out of the remaining 7 can be chosen in 72 two women out of the remaining 7 can be chosen in 7C2 ways. If M1, M2, W1 & W2 are chosen, then a team may consist of M1 and W1 or M1and W2. Thus, the number of ways of arranging the game is
Question 2
1 / -0

In a triangle ABC, the angle B is greater than angle A . If the values of the angle A and B satisfy the equation

A
π/3

B
π/2

C
2π/2

D
5π/2

Solution
Question 3
1 / -0

A
π/2

B
π/4

C
π/3

D
π/6

Solution
Question 4
1 / -0

The projection of the line joining the points (3,4,5) and (4,6,3) on the line joining the points (-1,2,4) and (1,0,5) is

A
4/3

B
2/3

C
1/3

D
1/2

Solution
Question 5
1 / -0

In an experiment with 15 observations on X, the following results where available: One observation that was 20 was found to be wrong and was replaced by the correct value 30. The corrected variance is-

A
8.33

B
78.00

C
18866

D
177.33

Solution
Question 6
1 / -0

A
1

B
0

C
-1

D
2

Solution

We are given that z is paralilel to the plane containing arax i The plane containing vectors a and b can be
Question 7
1 / -0

The solution of the equation (2x + y + 1) dx + (4x + 2y – 1) dy = 0 is-

A
log (2x + y – 1) = C + x + y

B
log (4x + 2y – 1) = C + 2x + y

C
log (2x + y + 1) + x + y = C

D
log (2x + y – 1) + x + 2y = C

Solution
Question 8
1 / -0

All the values of x satisfying the equation are given by-

A
x = 0, 1

B
x = −1 or 1

C

D
none of these

Solution

If any two columns of the determinant is identical, then the determinant is always zero.

Thus, all real values of x are possible.
Question 9
1 / -0

If sin 5x + sin 3 x + sin x = 0, then the value of x other than zero, lying between 0 is-

A
π/6

B
π/12

C
π/3

D
π/4

Solution
Question 10
1 / -0

The length of the longer diagonal of the parallelogram constructed on and angle between a is:

A
15

B
√113

C
√593

D
√369

Solution