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Number System

Number System
If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ?

84
82
83
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (17*17*17)  = 2143or x² = 2143 + 4913 = 7056∴ x = 84

Number System
Find the number of factors of 300 excluding 1 and itself.

15
14
18
16

ANSWER DOWNLOAD EXAMIANS APP

Number System
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

5
3
11
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.

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

15
18
17
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is

725
775
750
640

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Failed students are 32% which is 248.∴ Total = 24800/32 = 775

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

50
49
48
47

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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