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Number System

Number System
If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1)

75
64
54
88

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
What should come in the place of ' ? ' in the following number series ? 2, 5, 9, 19, 37, ?

76
77
75
78

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 x 2 + 1 = 5;5 x 2 - 1 = 99 x 2 + 1 = 19: 19 x 2 - 1 = 3737 x 2 + 1 = 75

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

6
5
7
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

Number System
Of an amount, 20% of 25% of 30% is Rs 75. Then what is the original amount ?

Rs. 4000
Rs. 2000
Rs. 5000
Rs. 3000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the amount be x.∴ X x 20/100 x 25/100 x 30/100 = 75∴ X = 75 x 5 x 4 x 10/3  = 5000

Number System
Find the least number with which 16200 should be multiplied, to make it a perfect cube.

36
45
48
360

ANSWER DOWNLOAD EXAMIANS APP

Number System
When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?

99
103
101
97

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.

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