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Fractions and Decimals

Fractions and Decimals
If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

172
None of these
17.2
1.72

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

29.94 / 1.45 = 299.4 / 14.5 = [(2994 /14.5) x (1 / 10)] [ Here, Substitute 172 in the place of 2994/14.5 ]=172 / 10= 17.2

Fractions and Decimals
If 144 / 0.144 = 14.4 / x, then the value of x is:

0.144
14.4
1.44
0.0144

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

144 / 0.144 = 14.4 / x144 x 1000 / 144 = 14.4 / x  x =14.4 / 1000 = 0.0144

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
1/4
1/2
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
Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 .

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

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
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 ?

10.5 kg
100.5 kg
1000.5 kg
1.5 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
When 0.232323.... is converted into a fraction , then the result is

23/99
24/99
26/99
25/99

ANSWER DOWNLOAD EXAMIANS APP
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