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Number System

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

5
3
7
11

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
If the difference between a number and two-fifths of that number is 45 what is the number ?

77
76
75
78

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x ∴ x - 2x/5 = 45∴ x = 75

Number System
In how many different ways can the letters of the word 'FRUGAL'be arranged ?

720
556
515
660

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In FRUGAL there ae six difference letters Therefore, 6 !                       = 6 x 5 x 4 x 3 x 2 x 1 = 720

Number System
The difference between 8% of a number and 3% of the same number is 39. What is 2.8% of that number ?

25.84
21.84
27.84
24.84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x(8 - 3)% = 39x = 3900/5 = 780∴ 2.8% of 780= 780 x 2.8/100 = 21.84

Number System
What should come in place of the question mark (?) in the following number series ? 888 888 444 148 ? 7.4

33
35
29
37

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

888 ÷ 1 = 888888 ÷ 2 = 444444 ÷ 3 = 148148 ÷ 4 = 3737 ÷ 5 = 7.4

Number System
When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?

101
99
97
103

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.

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