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Number System

Number System
If the fractions8/5,7/2,9/5,5/4,4/5 are arranged in descending order of their values, which one will be fourth?

7/9
11/13
5/4
1/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/4

Number System
Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:

12/5
144/25
5/12
25/144

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1945
1965
1975
1955

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

Number System
If one-third of one fourth of a number is 15, then three-tenth of that number is:

45
25
54
35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.

Number System
5525 ÷ 17 = √?

99225
112225
105625
93025

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?

11
10
8
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(700 – 300)/42 = 9 22/42 => 9 Numbers

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