model 3 fraction of numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 6 EXERCISES

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The following question based on number system topic of quantitative aptitude

Questions : 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

The correct answers to the above question in:

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

Practice number system (model 3 fraction of numbers) Online Quiz

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Read more fractional numbers Based Quantitative Aptitude Questions and Answers

Question : 1

Find a number, one-seventh of which exceeds its eleventh part by 100.

a) 1340

b) 1540

c) 1825

d) 1925

Answer: (d)

Let the number be x.

$x/7$ – $x/11$= 100

${11x – 7x}/{11×7} = 100$

$4x$ = 77 × 100

$x = {77 × 100}/4$=1925

Question : 2

A runner runs 1 $1/4$ laps of a 5 lap race. What fractional part of the race remains to be run?

a) $2/3$

b) $5/6$

c) $4/5$

d) $15/4$

Answer: (d)

Remaining race = 5 – 1$1/4$ laps

= 5 - $5/4$ laps= $15/4$ laps

Question : 3

The number 2.$5↖{.} 2↖{.}$ , when written as a fraction and reduced to lowest terms, the sum of the numerator and denominator is

a) 349

b) 141

c) 29

d) 7

Answer: (a)

2.$5↖{.} 2↖{.}$ = $2{52}/99 = 250/99$

Required sum = 250 + 99 = 349

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

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 : 6

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

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