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Fractions and Decimals

Fractions and Decimals
Which of the following fraction is the smallest ?

5/7
11/13
9/11
3/7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .

Fractions and Decimals
If √5 = 2.24, then the value of 3√5 / 2√5 - 0.48 is ?

168
1.68
16.8
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 3√5 / 2√5 - 0.48= (3 x 2.24) / (2 x 2.24) - 0.48= 6.72 / 4.48 - 0.48 = 6.72 / 4 = 1.68

Fractions and Decimals
Arrange the fractions in ascending order: 3/4, 5/8, 7/12, 13/16

5/8 < 7/12 < 13/16 < 3/
7/12 < 5/8 < 3/4 < 13/16
5/8 < 7/12 < 3/4 < 13/16
5/8 < 3/4 < 13/16 < 7/12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/8 = .625,7/12 = .5833, 3/4 = .75,13/16 = .8125So order will be 7/12 < 5/8 < 3/4 < 13/16

Fractions and Decimals
(369.99)² = ?

1369
1369 x 10²
None of these
1369 x 10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1369 x 10²

Fractions and Decimals
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.

9 2/3
2 2/3
5 2/3
7 2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3

Fractions and Decimals
[(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ?

3
2
0
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = [(a - b)² + (a + b)²] / (a²+ b²) (Where a = 3.537 and b = 0.948)= 2(a² +b²) / (a² +b²) = 2

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