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Number System

Number System
Which choice provides the answer : If 2 + 3 = 10, 6 + 5 = 66, 7 + 2 = 63, 9 + 7 = 144 then, 8 + 4 = ?

114
96
102
88

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

96

Number System
When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ?

65
55
35
45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45

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
3
5
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
If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ?

7/5
3/4
1/9
2/7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5

Number System
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

3
7
11
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7

Number System
3251 + 587 + 369 - ? = 3007

1200
1300
1250
1375

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4207 - x = 3007 Then, x = 4207 - 3007 = 1200

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