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

Question : 36

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

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

Question : 37 [SSC CPO S.I.2004]

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 : 38 [SSC CHSL DEO 2010]

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 : 39

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 : 40 [SSC CPO S.I.2005]

A candidate in an examination was asked to find $5/14$ of a certain number. By mistake he found $5/4$ of it. Thus, his answer was 25 more than the correct answer. The number was :

a) 140

b) 84

c) 56

d) 28

Answer: (d)

Let the required number be x.

As given,

$x × 5/4$ - $x × 5/14$ = 25

$5x(1/4 – 1/14)$ = 25

$5x({7 – 2}/28)$ = 25⇒ $5x × 5/28$ = 25

x = ${25×28}/{5×5}$ = 28

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