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Number System

Number System
What number should come in the place of (?) in the following number series ? 1, 4, 9, 25, 49, ?, 169, 289, 361

121
225
321
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The series is (Prime No.)²So it is (11)² = 121

Number System
A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?

7
8
12
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12

Number System
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

7
4
6
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.

Number System
If the product of two successive positive integers is 4692, what is the smaller number ?

66
68
70
64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 68 x 69 = 4692

Number System
If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ?

660
780
840
720

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660

Number System
If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ?

9
7
10
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9

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