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Number System

Number System
Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?

75
67
65
61

ANSWER DOWNLOAD EXAMIANS APP

Number System
What should come in place of question mark (?) in the following number series ? 7, 176, 480, 1058, 2188, 4426, ?

8882
8884
8888
8881

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Series is (No. + 9²) x 2, (+8²) x 2, (+7²) x 2, (+6²) x 2.......

Number System
If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ?

124
179
146
163

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x²   = 15376Therefore, x² = 15376                    x = 124

Number System
If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ?

3/5
13/25
6/7
12/25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25

Number System
√343 = ?

20
21
18
19

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √343 = 18

Number System
The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ?

83.5
85.5
82.5
84.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 165x - y = 92x = 174                         ∴ x = 87 and y = 78∴ x + y/2 = 165/2               = 82.5

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