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 : 1
A man spends $1/3$ of his income on food, $2/5$ of his income on house rent and $1/5$ of his income on clothes. If he still has Rs.400 left with him, his income is
a) Rs.7000
b) Rs.6000
c) Rs.5000
d) Rs.4000
Answer »Answer: (b)
Let the man’s income be Rs.x
According to the question,
x - $x/3 –{2x}/5 – {1x}/5$= 400
or x${(1-1/3-2/5-1/5)}$ =400
or x$({15 – 5 -6 -3}/15)$ = 400
or x ×$1/15$= 400
or x = 15 × 400 = Rs.6000
Question : 2 [SSC CPO S.I.2009]
A man read $2/5$ th of a book on the first day. He read $1/3$ rd more on second day than he read on the first day. 15 pages were left for the third day. The number of pages in the book is
a) 250
b) 225
c) 105
d) 100
Answer »Answer: (b)
Let the number of pages in the book be x.
According to the question,
${2x}/5 +{2x}/5 +{x}/3 ×2/5 + 15 = x$
${4x}/5 +{2x}/15 + 15 = x $
${12x + 2x + 225}/15 = x$
$15x = 14x $+ 225
$15x – 14x = 225$
$x$ = 225
Question : 3
An 85m long rod is divided into two parts. If one part is $2/3$of the other part, then the longer part (in metres) is :
a) 51
b) 85
c) 56 $2/3$
d) 34
Answer »Answer: (a)
Let the longer part be x
According to question,
Shortest part = $\text"2x"/3$
x + $2/3$x = 85m
= $\text"3x + 2x"/3$ = 85
= $\text"5x"/3$ = 85
∴ x = 51m
Question : 4
Fraction between $2/5$ and $4/9$ is :
a) $1/2$
b) $4/5$
c) $2/3$
d) $3/7$
Answer »Answer: (d)
$2/5$ and $4/9$ = 0.40 and 0.44 Fraction between these two =$3/7$= 0.42
Question : 5 [SSC CGL Prelim 1999]
A man spends $1/4$ th of his income on food $2/3$ rd of it on house rent and the remaining income which is Rs.630 on other commodities. Find his house rent.
a) Rs.4458
b) Rs.4890
c) Rs.3520
d) Rs.5040
Answer »Answer: (d)
Suppose total income = Rs.$x$
$x - x/4 - {2x}/3$ = 630
$x/12$ = 630
$x$ = 7560
House rent = $2/3$ × 7560 = Rs.5040
IMPORTANT quantitative aptitude EXERCISES
-
Basic Number System Aptitude Questions Practice Test with PDF »
-
Number System on Divisibility Multiple Add Subtract Live Test »
-
Top 255+ Number System Fraction Aptitude Questions Answers »
-
Top +299 Aptitude Number System (Find Unit Place) Mcq Quiz »
-
Top Number System Aptitude (Smallest Largest Fraction) MCQ »
-
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
-
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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