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Fractions and Decimals

Fractions and Decimals
If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ?

.0025
.025
25
.00025

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025

Fractions and Decimals
If 12276 / 155 = 79.2 the value of 122.76 / 15.5 is ?

7.92
0.792
79.2
792

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

122.76 / 15.50 = 12276/1550= (12276 / 155) x (1/10) = 79.2 / 10 = 7.92

Fractions and Decimals
From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4 

Fractions and Decimals
(.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966) = ?

1.33
1.28
1.25
1.31

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966)=.[896 x (.752+.248)] / [.7 x (.034+.966)] = .(896 x 1) / ( .700 x 1)=896/700 = 1.28

Fractions and Decimals
9.724 ÷ 100 = ?

None of these
9.724
0.9724
0.09724

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

9.724 ÷ 100 = 0.09724Shift decimal two palaces to the left. i.e 100

Fractions and Decimals
0.6 + 0.66 + 0.066 + 6.606 = ?

793.2
7.932
79.32
7932

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.6 + 0.66 + 0.066 + 6.606= 0.600 + 0.660 + 0.066 + 6.660= 7.932

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