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Fractions and Decimals

Fractions and Decimals
( .009 / ?) = .01

0.09
0.9
9
0.009

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let .009 / x = .01;   Then x = .009 / .01=.9 / 1= .9

Fractions and Decimals
A vessel, full of water, weighs 16.5 kg. When the vessel is (1/4)th full, it weight 5.25 kg. Then, weight of the empty vessel (in kg) is ?

1.5 kg
1000.5 kg
10.5 kg
100.5 kg

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the weight of vesel = x kg Then, 1/4 of volume of water = (5.25 - x)kg Full volume of water = (16.5 - x)∴ 4(5.25 - x) = (16.5 - x)⇒ 21 - 4x = 16.5 - x ⇒ 21 - 16.5 = 3x ∴ x = 4.5/3 = 1.5 kg 

Fractions and Decimals
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:

0.04
0.004
0.0004
0.00004

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (11.98)² + (0.02)² + 11.98 x x.For the given expression to be a perfect square, we must have11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

Fractions and Decimals
Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 .

10/11
9/11
7/11
5/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/3 + 1/15 + 1/35 + 1/63 + 1/99= [1/3 + 1/15] + 1/35 + 1/63 + 1/99 = [6/15 + 1/35] + 1/63 + 1/99= 45/105 + 1/63 + 1/99 = [3/7 + 1/63] + 1/99= 28/63 + 1/99 = 4/9 + 1/99= 44 + 1/99 = 45/99 = 5/11

Fractions and Decimals
[12 / (0.09 of 0.3)] x 2=?

8000/9
800/90
8000/90
800/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = ( 12/ 0.027) x 2= ( 12 / 0.027) x 2 = 24000/27 = 8000/9

Fractions and Decimals
[( 3.242 x 14 ) / 100] = ?

4.5388
0.45388
0.045388
45.388

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Multiplying 3.242 x 14=4.5388Now divide 4.5388 by 100So, 4.5388 ÷ 100= 0.045388∴ Shift the decimal two places to the left as 100

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