Mathematics Test

Result

Mathematics Test - 14

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Let n >= 2 be an integer. Take n distinct points on a circle and join each pair of points by a line segment. Colour the line segment joining every pair of adjacent points by blue and the rest by red. If the number of red and blue line segments are equal, then the value of n is _________

A

6

B

5

C

4

D

7
Question 2
1 / -0

A

option 4

B

option 2

C

Option 1

D

Option 3
Question 3
1 / -0

A

Option A

B

Option C

C

Option D

D

Option B
Question 4
1 / -0

Let M be a 2  2 symmetric matrix with integer entries. Then M is invertible if

A

M is a diagonal matrix with non-zero entries in the main diagonal

B

the first column of M is the transpose of the second row of M

C

the second row of M is the transpose of the first column of M

D

None of these
Question 5
1 / -0

Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done is

A

53

B

264

C

265

D

67
Question 6
1 / -0

Box 1 contains three cards bearing numbers 1, 2, 3 ; box 2 contains five cards bearing numbers 1, 2, 3, 4, 5 ; and box 3 contains seven cards bearing numbers 1, 2, 3, 4, 5, 6, 7. A card is drawn from each of the boxes. Let xi be the number on the card drawn from the i th box, i = 1, 2, 3.The probability that x1 + x2 + x3 is odd, is

A

1/2

B

53/105

C

29/105

D

57/105
Question 7
1 / -0

A

7

B

5

C

6

D

4
Question 8
1 / -0

Coefficient of x^11 in the expansion of (1 + x^2)^4 (1 + x^3)^7 (1 + x^4)^12 is

A

1113

B

1051

C

1106

D

1120
Question 9
1 / -0

Let a, r, s, t be non-zero real numbers. Let P(at^2 , 2at), Q, R(ar^2 , 2ar) and S(as^2, 2as) be distinct points on the parabola y^2 = 4ax. Suppose that PQ is the focal chord and lines QR and PK are parallel, where K is the point (2a, 0).The value of r is

A

1/t

B

(t^2 + 1)/t

C

(t^2 - 1)/t

D

- 1/t
Question 10
1 / -0

The value of g (1/2) is

A

π

B

π/2

C

π/4

D

2π