Mathematics Test 180

Result

Mathematics Test 180

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

The set (A \ B) ∪ (B \ A) is equal to

A
[A\ (A∩B)] ∩ [B \(A∩B)]

B
(A∪B) \ (A∩B)

C
A\ (A∩B)

D
A∩B \ A∪B

Solution
Question 2
4 / -1

A
(0, 1)

B
(0, 1]

C
[0, 1)

D
{0, 1}

Solution
Question 3
4 / -1

sin 12° sin 24° sin 48° sin 84° =

A
cos 20° cos 40° cos 60° cos 80°

B
sin 20° sin 40° sin 60° sin 80°

C
3/15

D
None of these

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

The centre of a regular hexagon is at the point z = i. If one of its vertices is at 2 + i, then the adjacent vertices of 2 + i are at the points

A
1± 2i

B
i +1± √3

C
2 + i(1± √3)

D
1+ i(1± √3)

Solution
Question 6
4 / -1

A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3 cm longer than the shortest and the third length is to be twice as long as the shortest. The possible length of the shortest board, if the third piece is to be at least 5 cm longer than the second, is

A
less than 8 cm

B
greater than or equal to 8 cm but less than or equal to 22 cm

C
less than 22 cm

D
greater than 22 cm

Solution
Question 7
4 / -1

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. Find the number of ways in which we can place the balls in the boxes (order is not considered in the box) so that no box remains empty.

A
100

B
75

C
150

D
200

Solution
Question 8
4 / -1

A
2187

B
1987

C
3232

D
4187

Solution
Question 9
4 / -1

The sum of n terms of two arithmetic series are in the ratio 2n + 3 : 6n + 5, then the ratio of their 13th terms is

A
53 : 155

B
27 : 87

C
29 : 83

D
31 : 89

Solution
Question 10
4 / -1

A

B

C

D

Solution