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Number System

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

36
360
45
48

ANSWER DOWNLOAD EXAMIANS APP

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

38
40
39
37

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

Number System
If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:

15
18
30
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,(1/2 x + 1/5 x) - 1/3 x = 22/311/30 x = 22/3x = 20

Number System
What should be the least number to be added to the 51234 number to make it divisible by 9?

4
5
3
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits.Sum of digits = 15.Nearest multiple of 9 greater than sum of digits = 18.Hence 3 has to be added.

Number System
If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ?

48
47
50
49

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48

Number System
7432 ÷ 32 x ? = 2787

21
41
12
78

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7432/32 x ? = 2787= ? = 2787 x 32/7432 = 12

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