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Number System

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

20
18
15
30

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
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

160
12
28
180

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

Number System
√(17)² + (17)² + (5)² - 2 = ?

19
16
17
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √49 + 289 + 25 - 2 = √361 = 19

Number System
A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?

42
84
24
21

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2/3 x = 28 => x = 4242 * 1/2 = 21

Number System
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

2
5
3
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3=> x + 3 = 11 => x = 8

Number System
5525 ÷ 17 = √?

93025
112225
105625
99225

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√? = 5525/17 = 325∴ ? = (325)² = 105625

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