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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
88
64
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

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

64
68
70
66

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 68 x 69 = 4692

Number System
What least number should be added to 8602 to make it a perfect square ?

41
47
51
36

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

So, (93)² = 8649So, the required number to be added to make a perfect square = 8649 - 8602 = 47

Number System
In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?

2/5
Data inadequate
1/5
1/25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5

Number System
If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ?

17
15
13
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)²                       = 1394 - 1225                       = 169Therefore, x = √169 = 13

Number System
What should come in place of question mark (?)? 8 : 1 1 : : 72:

89
109
99
79

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let ? = xTherefore 8 : 11 : 72 : xTherefore x = (11 x 72) / 8 = 99

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