Mathematics Test

Result

Mathematics Test - 14

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Weekly Quiz Competition

Question 1
1 / -0

The number of subsets of the set A = {a₁, a₂, …, a_n} which contain even number of elements is

A
2^{(n – 1)}

B
2ⁿ – 1

C
2^{n – 2}

D
2ⁿ

Solution
Question 2
1 / -0

Let T_n denote the number of triangles which can be formed by using the vertices of a regular polygon of n sides. If T_n ₊₁ – T_n = 21, then n equals

A
5

B
7

C
6

D
4

Solution
Question 3
1 / -0

If no husband and wife play in the same game, then the number of ways in which a mixed double game can be arranged from among nine married couples is

A
756

B
1512

C
3024

D
None of these

Solution
Question 4
1 / -0

The number of times the digit 3 will be written when listing the integers from 1 to 1000 is

A
297

B
300

C
271

D
None of these

Solution
Question 5
1 / -0

A
60º

B
90º

C
120º

D
45º

Solution
Question 6
1 / -0

In an isosceles triangle ABC, AB = AC. If vertical angle A measures 20°, then what is the value of a³ + b³?

A
3a²b

B
3b²c

C
3c²a

D
abc

Solution
Question 7
1 / -0

Which of the following pieces of data does not uniquely determine the acute-angled ΔABC (R = circumradius)?

A
a, sin A, sin B

B
a, b, c

C
a, sin B, R

D
a, sin A, R

Solution
Question 8
1 / -0

A
53^o

B
113^o

C
87^o

D
67^o

Solution
Question 9
1 / -0

What is the circumradius of a triangle with length of sides as 6 units, 8 units and 10 units?

A
4 units

B
5 units

C
3 units

D
None of the above

Solution

As the given triangle is a right triangle, the circumradius is half of the hypotenuse which is 5 units

Hence, answer option 2 is correct.
Question 10
1 / -0

A
A.P.

B
G.P.

C
H.P.

D
None of these

Solution