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 boy was asked to find the value of $3/8$ of a sum of money. Instead of multiplying the sum by $3/8$ he divided it by $3/8$ and then his answer exceeded by Rs.55. Find the correct answer ?

(a) Rs.1,320

(b) Rs.64

(c) Rs.24

(d) Rs.9

The correct answers to the above question in:

Answer: (c)

Let the amount be Rs.x

According to question,

$8/3$x - $3/8$x = 55

= $\text"64x – 9x"/24$ = 55

= $\text"55x"/24$ = 55 (or), x = Rs.24

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

$1/5$of a number exceeds $1/7$ of the same number by 10. The number is :

a) 200

b) 175

c) 150

d) 125

Answer: (b)

Let the number be x.

∴ According to question,

$x/5 – x/7$ = 10 ⇒ ${7x – 5x}/35$= 10

⇒ $2/35$= 10

⇒ x = ${10 × 35}/2$= 175

Question : 2

A fraction having denominator 30 and lying between $5/8$ and $7/11$ is–

a) $21/30$

b) $20/30$

c) $19/30$

d) $18/30$

Answer: (c)

$5/8$ = 0.625; $7/11$ = 0.636;

$20/30$ = 0.666…; $19/30$ = 0.633…;

Question : 3

Express 45 minutes as the fraction of one day.

a) $1/24$

b) $1/60$

c) $1/32$

d) $1/40$

Answer: (c)

1 day = 24 × 60 minutes

Required fraction = $45/{24 × 60} = 1/32$

Question : 4

A tree increases annually by $1/8$th of its height. By how much will it increase after 2 years, if it stands today 64 cm high?

a) 81 cm

b) 75 cm

c) 74 cm

d) 72 cm

Answer: (a)

Height of tree after 1 year = 64 + 64 × $1/8$= 72 cm

Height of tree after 2 years = 72 + 72 × $1/8$

= 72 + 9 = 81 cm

Question : 5

$1/2$ of $3/4$ of a number is 2$1/2$ of 10. What is the number?

a) 56

b) 66$2/3$

c) 60

d) 50

Answer: (b)

Let the number is x.

According to the question

$1/2$ of $3/4$ of x = 2$1/2$ of 10

=$\text"3x"/8 = 5/2$ × 10

x = ${5×10×8}/{3×2} = 200/3 =66{2/3}$

Question : 6

Two-third of a positive number and $25/216$ of its reciprocal are equal. The number is

a) $12/5$

b) $144/25$

c) $5/12$

d) $25/144$

Answer: (c)

Let the number be x.

$2/3$x = $25/\text"216x"$⇒ $x^2 = {25×3}/{2×216}$

x = $√{{25×3}/{2×216}}$ = $√{25/144}$ = $5/12$

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