Mathematics Test

Result

Mathematics Test - 2

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
3 / -1

99^th term of the series 2 + 7 + 14 + 23 + 34 +_______ is

A
9998

B
9999

C
10000

D
none of these

Solution

Solution
Question 2
3 / -1

If the sum of first n natural numbers is one-fifth of the sum of their squares, then n is

A
5

B
6

C
7

D
8

Solution

Solution
Question 3
3 / -1

If a polygon has 44 diagonals, then the number of its sides are

A
11

B
7

C
8

D
9

Solution

Solution
Question 4
3 / -1

If 7 points out of 12 are in same striaght line, then the number of triangles formed is

A
19

B
185

C
201

D
508

Solution

Solution

Number of triangles = ¹²C₃ - ⁷C₃

= 220 - 35

= 185
Question 5
3 / -1

Sum of coefficients in the expansion of (x + 2y + z)¹⁰ is

A
2¹⁰

B
3¹⁰

C
1

D
None of these

Solution

Sum of co-efficients = (4)¹⁰ - (2)²⁰
Question 6
3 / -1

A
2

B
x² + 2

C
-2

D
None of these

Solution

Solution

Operating C₃ - C₂ and C₂- C₁

Apply R₃ - R₂, R₂ - R₁

Determinent = -2.
Question 7
3 / -1

If A + B + C = π, then

A
cos A

B
cos A sin B

C
0

D
sin C

Solution

Solution

Above is skew symmetric deteminent of odd order because

cos (A + B) = - cos C etc.
Question 8
3 / -1

The probability of getting heads in both trials when a balanced coin is tossed twice, will be

A
1/4

B
1/2

C
1

D
3/4

Solution

Probability to getting heads in both the trials
Question 9
3 / -1

A and B throw 2 dices. If A throws 9, then B's chance of throwing higher number is

A
1/6

B
1/2

C
1/3

D
1/8

Solution

Solution

Let, n = Total number of ways = 6 x 6 = 36 m = number of favourable ways =3+2+1=6
Question 10
3 / -1

Two cards are drawn at random from a pack to 52 cards. The probability of these two being aces is

A
1/26

B
1/221

C
1/2

D
none of these

Solution

Solution