model 3 fraction of numbers Practice Questions Answers Test with Solutions & More Shortcuts

Question : 46

A student was asked to find $5/16$ of a number. By mistake he found $5/6$ of that number. His answer was 250 more than the correct answer. Find the given number.

a) 500

b) 450

c) 480

d) 300

Answer: (c)

Let the number = x

x × $5/6$ - x × $5/16$ = 250

$\text"40x- 15x"/48$ = 250

$\text"25x"/48$ = 250

x = ${250×48}/25$ = 480

Question : 47

The rational number between $1/2$ and $3/5$ is

a) $1/3$

b) $2/3$

c) $4/7$

d) $2/5$

Answer: (c)

Required number = ${3+1}/{2+5} = 4/7$

or $1/2$ = 0.5; $3/5$ = 0.6; $4/7$ = 0.57

Clearly, 0.5 < 0.57 < 0.6

Question : 48

If 1 is added to the denominator of a fraction it becomes $1/2$. If 1 is added to the numerator it becomes 1. The product of numerator and denominator of the fraction is

a) 14

b) 12

c) 10

d) 6

Answer: (d)

Let the numerator = x and denominator = y

Fraction = $\text"x"/ \text"y"$ and $\text"x"/ \text"y+1" = 1/2$

2x = y + 1 ⇒ x =$\text"y+1"/2$

$\text"x+1"/\text"y"$ =1⇒ x+1 = y

$\text"y+1"/2$+1 = y

$\text"y+1+2"/2$ = y

y +3= 2y ⇒ y = 3

x +1= 3 ⇒ x = 2

∴ xy = 2 × 3 = 6

Question : 49

What fraction of $4/7$ must be added to itself to make the sum 1$1/14$ ?

a) $15/14$

b) $4/7$

c) $1/2$

d) $7/8$

Answer: (d)

Let the fraction be x.

$\text"4x"/7 +4/7 = 15/14$

$\text"4x"/7 = 15/14 – 4/7 = {15 - 8}/14 = 1/2$

x = $1/2 × 7/4 = 7/8$

Question : 50

In an examination, a student was asked to find $3/14$ of a certain number, By mistake, he found $3/4$ of it. His answer was 150 more than the correct answer. The given number is :

a) 180

b) 240

c) 280

d) 500

Answer: (c)

Let the number be x. Then,

$3/4x – 3/14x$ = 150

${21x – 6x}/28$ = 150

15x = 28 × 150

x = ${28 ×150}/15$ = 280

IMPORTANT quantitative aptitude EXERCISES

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