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Fractions and Decimals

Fractions and Decimals
450.271 + 369.422 ÷ 0.03 - 108.612 x 2.001 = ?

12532
14532
15532
13532

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 450.271 + (369.422 ÷ 0.03) - (108.612 x 2.001)= 450 + 369/0.03 - (109 x 2) = 450 + 12300 - 218 = 12532

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

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

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
If x/y = 0.3, then (2x - y)/(2x + y) = ?

0.5
0.15
0.25
0.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x = 0.3y Then, (y - 2x)/(y + 2x)= y - 2(0.3y)/y + 2(0.3y)= y - 0.6y/y + 0.6y= 0.4y/1.6y= 0.4/1.6 = 0.25

Fractions and Decimals
(.538 x .538 - .462 x .462) / (1-.924) = ?

31
21
1
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [ (.538)² - (.462)² ] / .076 = [(.538 + .462)(.538 - .462)] /.076=.076 / .076 = 1

Fractions and Decimals
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.

2 2/3
9 2/3
5 2/3
7 2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3

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
1.5 kg
1000.5 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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