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 : If $4/5$ of an estate be worth Rs.16800, then the value of $3/7$ of it is—

(a) Rs.21000

(b) Rs.72000

(c) Rs.9000

(d) Rs.90000

The correct answers to the above question in:

Answer: (c)

Let the value of estate be Rs.x

According to the question

$4/5$ of x = 16800

x = ${16800 × 5}/4$ = Rs.21000

$3/7$ of the value = 21000 × $3/7$ = 3000 × 3 = Rs.9000

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

If one-nineth of a certain number exceeds its one-tenth by 4, the number is

a) 440

b) 400

c) 360

d) 320

Answer: (c)

Let the number be x.

According to the question

$x/9 - x/10$ = 4

${10x – 9x}/90$ = 4

x = 90 × 4 = 360

Question : 2

How many $1/6$ of together make 41 $2/3$ ?

a) 350

b) 250

c) 150

d) 125

Answer: (b)

Required answer = ${125/3}/{1/6} = 125/3× 6 = 250$

Question : 3

What is two-third of half of 369?

a) 271$3/4$

b) 246$3/8$

c) 246

d) 123

Answer: (d)

? = 369 × $1/2 × 2/3$= 123

Question : 4

The value of ${1/15 + 1/35 + 1/63 + 1/99 + 1/143}$ is

a) $7/39$

b) $2/39$

c) $4/39$

d) $5/39$

Answer: (d)

$1/15 + 1/35 + 1/63 + 1/99 + 1/143$

= $1/{3×5}+1/{5×7}+1/{7×9}+1/{9×11}+1/{11×13} $

=$1/2(1/3 - 1/5+1/5 - 1/7+1/7 - 1/9+1/9 - 1/11+1/11 - 1/13)$

=$1/2(1/3 - 1/13)$

= $1/2({13 - 3}/39) = 5/39$

Question : 5

The number 0.121212.... in the form $\text"p"/\text"q"$ is equal to

a) $2/33$

b) $4/33$

c) $2/11$

d) $4/11$

Answer: (b)

0.121212 .... = 0.$\ov{12}$ = $12/99 = 4/33$

Question : 6

The product of two fractions is $14/15$ and their quotient is $35/24$. The greater of the fractions is

a) $4/5$

b) $7/3$

c) $7/6$

d) $7/4$

Answer: (c)

Let the fractions be x and y, where x > y

$xy = 14/15$ and $x/y = 35/24$

$xy × x/ y$ = $14/15× 35/24$

$x^2$ = $49/36$⇒ $x = 7/6$

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