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 : 46
A student was asked to find $5/16$ of a number. By mistake he found $5/6$ of that number. His answer was 250 more than the correct answer. Find the given number.
a) 500
b) 450
c) 480
d) 300
Answer »Answer: (c)
Let the number = x
x × $5/6$ - x × $5/16$ = 250
$\text"40x- 15x"/48$ = 250
$\text"25x"/48$ = 250
x = ${250×48}/25$ = 480
Question : 47
The rational number between $1/2$ and $3/5$ is
a) $1/3$
b) $2/3$
c) $4/7$
d) $2/5$
Answer »Answer: (c)
Required number = ${3+1}/{2+5} = 4/7$
or $1/2$ = 0.5; $3/5$ = 0.6; $4/7$ = 0.57
Clearly, 0.5 < 0.57 < 0.6
Question : 48
If 1 is added to the denominator of a fraction it becomes $1/2$. If 1 is added to the numerator it becomes 1. The product of numerator and denominator of the fraction is
a) 14
b) 12
c) 10
d) 6
Answer »Answer: (d)
Let the numerator = x and denominator = y
Fraction = $\text"x"/ \text"y"$ and $\text"x"/ \text"y+1" = 1/2$
2x = y + 1 ⇒ x =$\text"y+1"/2$
$\text"x+1"/\text"y"$ =1⇒ x+1 = y
$\text"y+1"/2$+1 = y
$\text"y+1+2"/2$ = y
y +3= 2y ⇒ y = 3
x +1= 3 ⇒ x = 2
∴ xy = 2 × 3 = 6
Question : 49
What fraction of $4/7$ must be added to itself to make the sum 1$1/14$ ?
a) $15/14$
b) $4/7$
c) $1/2$
d) $7/8$
Answer »Answer: (d)
Let the fraction be x.
$\text"4x"/7 +4/7 = 15/14$
$\text"4x"/7 = 15/14 – 4/7 = {15 - 8}/14 = 1/2$
x = $1/2 × 7/4 = 7/8$
Question : 50
In an examination, a student was asked to find $3/14$ of a certain number, By mistake, he found $3/4$ of it. His answer was 150 more than the correct answer. The given number is :
a) 180
b) 240
c) 280
d) 500
Answer »Answer: (c)
Let the number be x. Then,
$3/4x – 3/14x$ = 150
${21x – 6x}/28$ = 150
15x = 28 × 150
x = ${28 ×150}/15$ = 280
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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