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Number System

Number System
Which choice provides the answer in the following : If 2 * 3 = 36, 5 * 4 = 400, 6 * 2 = 144, 3 * 3 = 81; then, 5 * 5 = ?

325
525
625
425

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

625

Number System
1089/? = ?/1296

1278
1188
1082
1348

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 1089 x 1296(?)²= (11 x 11 x 9) x (12 x 12 x 9)(?)= 11 x 12 x 9= 1188

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 the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?

68
64
62
66

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14            .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.

Number System
When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ?

44
45
46
47

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46

Number System
What is the least number to be subtracted from 696 to make it a perfect square?

20
71
1
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The numbers less than 696 and are squares of certain numbers are 676, 625.The least number that should be subtracted from 696 to make it perfect square = 696 - 676 = 20.

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