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Fractions and Decimals

Fractions and Decimals
The rational for the recurring decimal 0.125125......is

125/999
125/99
None of these
125/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.125125...... = 0.125 =   125/999.

Fractions and Decimals
12.1212 + 17.0005 - 9.1102 = ?

200.115
20.0115
2.00115
2001.15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression,= (12.1212 + 17.0005) - 9.1102= (29.1217 - 9.1102)= 20.0115.

Fractions and Decimals
There are two fractions such that fraction X is thrice the fraction Y and their product is 25/12. Which of the following is equal to Y?

9/10
5/6
7/8
3/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let X and Y are given fractions.Given that, fraction X is thrice the fraction Y;i.e., X = 3Y ...(1)And their product = X x Y = 25/12Sub. eqn (1) in above,(3Y)x(Y) = 25/123(Y²) = 25/12(Y²) = 25/36Y = 5/6Hence the required fraction is 5/6.

Fractions and Decimals
What will come in place of question mark in the following equation ? 54.(?)3 + 543 + 5.43 = 603.26

3
5
7
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x + 543 + 5.43 = 603.26.Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83Missing digit = 8.

Fractions and Decimals
√441.441 + √256.256 = ?

41
37
39
35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √441.441 + √256.256= √441 + √256= (21 + 16) = 37

Fractions and Decimals
(.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ?

62.5
.625
.0625
6.25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]= (a² -2ab + b²) / (c²+2cd+d²)= (a - b)² / (c + d)²= (.356 -.106)² / (.632 + .368)²= (.25)² = .0625

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