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Number System

Number System
A number when multiplied by five times of itself give the value equal to 1445. What is the number ?

17
15
16
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x x 5x = 1445= 5x² = 1445= x² = 289∴ x = 17

Number System
What is the difference between the largest and the smallest number written with 7, 7, 0, 7?

6093
6993
6893
693

ANSWER DOWNLOAD EXAMIANS APP

Number System
What is the remainder when 263251 is divided by 9?

6
1
3
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the sum of the digits of a number is divisible by 9, the number will be divisible by 9.2 + 6 + 3 + 2 + 5 + 1 = 19The nearest multiple of 9 is 18.19 - 18 = 1.

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

1
20
16
71

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.

Number System
The difference between two integers is 5. Their product is 500. Find the numbers.

30, 25
15, 20
21, 26
20, 25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.

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

92
95
99
103

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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