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

Question : 1

A man spends $1/3$ of his income on food, $2/5$ of his income on house rent and $1/5$ of his income on clothes. If he still has Rs.400 left with him, his income is

a) Rs.7000

b) Rs.6000

c) Rs.5000

d) Rs.4000

Answer: (b)

Let the man’s income be Rs.x

According to the question,

x - $x/3 –{2x}/5 – {1x}/5$= 400

or x${(1-1/3-2/5-1/5)}$ =400

or x$({15 – 5 -6 -3}/15)$ = 400

or x ×$1/15$= 400

or x = 15 × 400 = Rs.6000

Question : 2 [SSC CPO S.I.2009]

A man read $2/5$ th of a book on the first day. He read $1/3$ rd more on second day than he read on the first day. 15 pages were left for the third day. The number of pages in the book is

a) 250

b) 225

c) 105

d) 100

Answer: (b)

Let the number of pages in the book be x.

According to the question,

${2x}/5 +{2x}/5 +{x}/3 ×2/5 + 15 = x$

${4x}/5 +{2x}/15 + 15 = x $

${12x + 2x + 225}/15 = x$

$15x = 14x $+ 225

$15x – 14x = 225$

$x$ = 225

Question : 3

An 85m long rod is divided into two parts. If one part is $2/3$of the other part, then the longer part (in metres) is :

a) 51

b) 85

c) 56 $2/3$

d) 34

Answer: (a)

Let the longer part be x

According to question,

Shortest part = $\text"2x"/3$

x + $2/3$x = 85m

= $\text"3x + 2x"/3$ = 85

= $\text"5x"/3$ = 85

∴ x = 51m

Question : 4

Fraction between $2/5$ and $4/9$ is :

a) $1/2$

b) $4/5$

c) $2/3$

d) $3/7$

Answer: (d)

$2/5$ and $4/9$ = 0.40 and 0.44 Fraction between these two =$3/7$= 0.42

Question : 5 [SSC CGL Prelim 1999]

A man spends $1/4$ th of his income on food $2/3$ rd of it on house rent and the remaining income which is Rs.630 on other commodities. Find his house rent.

a) Rs.4458

b) Rs.4890

c) Rs.3520

d) Rs.5040

Answer: (d)

Suppose total income = Rs.$x$

$x - x/4 - {2x}/3$ = 630

$x/12$ = 630

$x$ = 7560

House rent = $2/3$ × 7560 = Rs.5040

IMPORTANT quantitative aptitude EXERCISES

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