model 5 smallest and largest fraction/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 : 6 [SSC CHSL 2013]
If a number is as much greater than 31 as it is less than 75, then the number is
a) 74
b) 53
c) 44
d) 106
Answer »Answer: (b)
If the number be x, then
x – 31 = 75 – x
⇒ 2x = 75 + 31 = 106
⇒ x = 53
Question : 7 [SSC CAPFs & CISF 2013]
The greatest among the following numbers $(3)^{1/3}, (2)^{1/2}, 1, (6)^{1/6}$ is :
a) $(6)^{1/6}$
b) $(3)^{1/3}$
c) 1
d) $(2)^{1/2}$
Answer »Answer: (b)
LCM of 3, 2 and 6 = 6
∴ $(3)^{1/3}$ = $(3^2)^{1/6}$ = $(9)^{1/6}$
$(2)^{1/2}$ = $(2^3)^{1/6}$ = $(8)^{1/6}$
$(1)^{1/6}$ = 1; $(6)^{1/6}$ = $(6)^{1/6}$
Question : 8
Which of the following fraction is the smallest? $7/6, 7/9, 4/5, 5/7$
a) $4/5$
b) $5/7$
c) $7/ 9$
d) $7/6$
Answer »Answer: (b)
$7/6$ = 1.166 ; $7/9$ = 0.777; $4/5$ = 0.8 and $5/7$ = 0.714
Therefore, the smallest number is $5/7$
Question : 9 [SSC CGL Prelim 2003]
Which of the following is the largest fraction ? $6/7, 5/6, 7/8, 4/5$
a) $5/6$
b) $7/8$
c) $4/5$
d) $6/7$
Answer »Answer: (b)
The decimal equivalents of :
$6/7 = 0.857, 5/6 = 0.833$
$∴7/8 = 0.875, 4/5 = 0.8$
Obviously, 0.875 is the greatest.
$7/8$ is the largest fraction.
Question : 10 [SSC CGL Tier-II 2015]
Sum of three fractions is 2$11/24$ . On dividing the largest fraction by the smallest fraction, $7/6$ is obtained which is $1/3$ greater than the middle fraction. The smallest fraction is
a) 5/6
b) 3/7
c) 3/4
d) 5/8
Answer »Answer: (c)
Let the three fractions be p, q and r,
where p < q < r.
According to the question,
$r/p$ = $7/6$ ⇒ r = $7/6$ p
Again, middle fraction
= q = $7/6$ - $1/3$ = ${7-2}/6$ = $5/6$
∴ p+q+r = 2$11/24$
⇒ p + $5/6$ + $7/6$p = $59/24$
⇒ p+${7p}/6$ = $59/24$ - $5/6$
⇒ ${6p+7p}/6$ = ${59-20}/24$ = $93/24$
⇒ 13p = $39/24$×6 = $39/4$
⇒ p = $39/{4×13}$ = $3/4$
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 5 smallest and largest fraction/numbers Shortcuts »
Click to Read...model 5 smallest and largest fraction/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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