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

MOST IMPORTANT quantitative aptitude - 6 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on number system topic of quantitative aptitude

Questions : 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

The correct answers to the above question in:

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

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

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 : 2

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 : 3

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

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