Mathematics Test

Result

Mathematics Test - 30

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

A

Option 1

B

Option 2

C

Option 3

D

Option 4
Question 2
1 / -0

A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is:

A

485

B

469

C

468

D

484
Question 3
1 / -0

If L1 is the line of intersection of the planes 2x - 2y + 3z - 2 = 0, x - y + z + 1 = 0 and L2 is the line of intersection of the planes x + 2y - z - 3 = 0, 3x - y + 2z - 1 = 0, then the distance of the origin from the plane, containing the lines L1 and L2, is :

A

1/2√2

B

1/√2

C

1/4√2

D

1/3√2
Question 4
1 / -0

A

Option 3

B

Option 2

C

Option 4

D

Option 1
Question 5
1 / -0

A

Option 1

B

Option 2

C

Option 3

D

Option 4
Question 6
1 / -0

The normal to the curve y(x – 2)(x – 3) = x + 6 at the point where the curve intersects the y-axis passes through the point:

A

(1/2, -1/3)

B

(1/2, 1/3)

C

(1/2, 1/2)

D

(- 1/2, - 1/2)
Question 7
1 / -0

A

Option 2

B

Option 3

C

Option 4

D

Option 1
Question 8
1 / -0

A

Option 1

B

Option 2

C

Option 3

D

Option 4
Question 9
1 / -0

A

Option 1

B

Option 3

C

Option 4

D

Option 2
Question 10
1 / -0

For any three positive real numbers a, b and c, 9(25a^2 + b^2) + 25(c^2– 3ac) = 15b(3a + c). Then:

A

b, c and a are in A.P.

B

a, b and c are in A.P

C

b, c and a are in G.P.

D

a, b and c are in G.P.