model 3 fraction of numbers Practice Questions Answers Test with Solutions & More Shortcuts
number system PRACTICE TEST [6 - EXERCISES]
model 1 basic number system
model 2 divisibility, multiples, add and subtract based number system
model 3 fraction of numbers
model 4 finding unit place of a number
model 5 smallest and largest fraction/numbers
model 6 operations of consecutive numbers (odd, even, square, etc.)
Question : 26
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
Answer »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
Question : 27
$1/5$of a number exceeds $1/7$ of the same number by 10. The number is :
a) 200
b) 175
c) 150
d) 125
Answer »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 : 28
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 »Answer: (c)
$5/8$ = 0.625; $7/11$ = 0.636;
$20/30$ = 0.666…; $19/30$ = 0.633…;
Question : 29
Express 45 minutes as the fraction of one day.
a) $1/24$
b) $1/60$
c) $1/32$
d) $1/40$
Answer »Answer: (c)
1 day = 24 × 60 minutes
Required fraction = $45/{24 × 60} = 1/32$
Question : 30 [SSC CGL Prelim 2004]
$1/10$ of a rod is coloured red, $1/20$ orange, $1/30$ yellow, $1/40$ green, $1/50$ blue, $1/60$ black and the rest is violet. If the length of the violet portion of the rod is 12.08 metres, then the length of the rod is
a) 30 m
b) 20 m
c) 18 m
d) 16 m
Answer »Answer: (d)
Let the length of the rod be x metres.
According to the question,
$x – (x/10 + x/20 + x/30 + x/40 + x/50 + x/60)$ =12.08
$x[1 – ({60 +30 + 20 + 15 + 12 + 10}/600)]$ = 12.08
$x(1 - {147}/600)$ = 12.08
$x({600 - 147}/600)$ = 12.08
$x × 453/600$ = 12.08
$x = {12.08×600}/453$ =16 m.
IMPORTANT quantitative aptitude EXERCISES
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Basic Number System Aptitude Questions Practice Test with PDF »
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Number System on Divisibility Multiple Add Subtract Live Test »
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Top 255+ Number System Fraction Aptitude Questions Answers »
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Top +299 Aptitude Number System (Find Unit Place) Mcq Quiz »
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Top Number System Aptitude (Smallest Largest Fraction) MCQ »
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199+ Aptitude Number System: Consecutive Numbers MCQ Quiz »
model 3 fraction of numbers Shortcuts »
Click to Read...model 3 fraction of numbers Online Quiz
Click to Start..number system Shortcuts and Techniques with Examples
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model 1 basic number system
Defination & Shortcuts … -
model 2 divisibility, multiples, add and subtract based number system
Defination & Shortcuts … -
model 3 fraction of numbers
Defination & Shortcuts … -
model 4 finding unit place of a number
Defination & Shortcuts … -
model 5 smallest and largest fraction/numbers
Defination & Shortcuts … -
model 6 operations of consecutive numbers (odd, even, square, etc.)
Defination & Shortcuts …
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