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Number System

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

14
15
16
18

ANSWER DOWNLOAD EXAMIANS APP

Number System
3√103823 = ?

41
44
47
52

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 3√103823 = 3√47 x 47 x 47 = 47

Number System
Sum of the digits number is 8 and their product is 12. Find the difference between the digits?

6
None
4
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4

Number System
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

7
5
4
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.

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
On converting the following base-2 numeral in base ten, 1101101, we get

109
106
108
107

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

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