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Fractions and Decimals

Fractions and Decimals
(0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :

5/3
7/3
4/3
6/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given = (0.2 * 0.2 + 0.01) / ( 0.1 * 0.1 + 0.02)= (0.04 + 0.01) / (0.01 + 0.02) = 0.05 / 0.03= 5/3...

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 ?

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

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
( .803 x .647 + .803 x .353 ) = ?

.803
803
8.03
80.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = ( .803 x .647 + .803 x .353 )= 803 x (.647 + .353)= .803 x 1 = .803

Fractions and Decimals
(44.99)² - (15.01)² = ?

700
1500
1100
1800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

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

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

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
[ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ?

4
2
3
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression =(.6)³ + (.4) ³ + 3 x .6 x .4 x (.6 + .4)= a³ + b³ + 3ab (a+b) = (a+b)³= (.6 + .4)³ = 1³ = 1

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