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

Question : 6 [SSC CGL Tier-1 2011]

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 : 7 [SSC CGL 2000]

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 : 8

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 : 9 [SSC CGL Prelim 2002]

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 : 10

One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?

a) $1/6$

b) $1/3$

c) $2/3$

d) $2/5$

Answer: (b)

135 Litres =$1/4$ th part

180 Litres = $1/4 × 180/135 = 1/3$

IMPORTANT quantitative aptitude EXERCISES

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