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

(a) 1340

(b) 1540

(c) 1825

(d) 1925

The correct answers to the above question in:

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

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 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 : 2

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 : 3

If one-third of one-fourth of a number is 15, then three-tenth of the number is

a) 54

b) 45

c) 36

d) 35

Answer: (a)

Let the number be x.

= $x/{3 × 4}$ = 15

x = 15 × 3 × 4 = 180

Now, required number

= ${3/10}x = 3/10$ × 180 = 54

Question : 4

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

Question : 5

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 : 6

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

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