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Number System

Number System
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.

18
12
8
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

5400
10800
2700
1800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

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 ?

62
66
64
68

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
1008÷36=?

27
25
28
26

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

28

Number System
If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ?

95
103
99
92

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801  Therefore, x = 99

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

71
20
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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