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Fractions and Decimals

Fractions and Decimals
13.065 x 13.065 - 3.065 x 3.065 =?

1613
1.613
16.13
161.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression =(13.065)²-(3.065)² =(13.065 + 3.065) x (13.065 - 3.065)=16.13 x 10 = 161.3

Fractions and Decimals
0.15 / (0.5 / 15) = ?

4.5
None of these
40.5
400.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let Y = 0.15 / (0.5 / 15) = (15/100) / [(5/100) / 15) = 4.5

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?

7/8
9/10
5/6
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
\15.60 x 0.30=?

46.8
40.68
4.68
468

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 1560 x 30 = 46800∴ 15.60 x 0.30 = 4.6800= 4.68 ( Four places of decimal )

Fractions and Decimals
(3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ?

2
3
1
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35=(a - b)² / 1.69 = (3.65 - 2.35)² / 1.69 = (1.3)² / 1.69 = 1.69 / 1.69 = 1

Fractions and Decimals
Which of the following fractions is greater than 3 /4 and less than 5 / 6 ?

1/2
4/5
5/6
3/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 /4 = 0.75, 5/6 = 0.833,1/2 = .5,2/3 = 0.66, 4/5 = 0.8,9/10 = 0.9.clearly 0.8 lies between 0.75 and .833.4/5 lies between 3/4 and 5/6.

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