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Fractions and Decimals

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
If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is ?

5/12
1/16
3/20
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required fraction be p/q∵ p / (q + 3) = 1/3⇒ 3p - q = 3 ...(i)and, (p + 4) / q = 3/4 ⇒ 4p - 3q = -16 ...(ii)Solving these equations, we get p = 5, q = 12∴ Required fraction = 5/12

Fractions and Decimals
When 0.36 is written in simplest form, the sum of the numerator and the denominator is :

12
23
45
34

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.36 = 36/100 = 9/25.Sum of the numerator and denominator is 9 + 25 = 34

Fractions and Decimals
3889 + 12.952 - ? = 3854.002

47.95
479.5
4.795
4795

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 3889 + 12.952 - x = 3854.002.Then x = (3889 + 12.952) - 3854.002  = 3901.952 - 3854.002  = 47.95.

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

18/23
16/21
8/9
14/17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Converting the given fractions into decimal form, we have,8/9 = 0.8818/23 = 0.7816/21 = 0.7614/17 = 0.82From the above, 0.88 is the largest.Corresponding fraction is 8/9.

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
10.5 kg
1000.5 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 

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