model 3 fraction of numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 6 EXERCISES
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The following question based on number system topic of quantitative aptitude
(a) 200
(b) 175
(c) 150
(d) 125
The correct answers to the above question in:
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
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Read more fractional numbers Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
$1/10$ 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.
Question : 4
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 : 5
A tree increases annually by $1/8$th of its height. By how much will it increase after 2 years, if it stands today 64 cm high?
a) 81 cm
b) 75 cm
c) 74 cm
d) 72 cm
Answer »Answer: (a)
Height of tree after 1 year = 64 + 64 × $1/8$= 72 cm
Height of tree after 2 years = 72 + 72 × $1/8$
= 72 + 9 = 81 cm
Question : 6
$1/2$ of $3/4$ of a number is 2$1/2$ of 10. What is the number?
a) 56
b) 66$2/3$
c) 60
d) 50
Answer »Answer: (b)
Let the number is x.
According to the question
$1/2$ of $3/4$ of x = 2$1/2$ of 10
=$\text"3x"/8 = 5/2$ × 10
x = ${5×10×8}/{3×2} = 200/3 =66{2/3}$
GET number system PRACTICE TEST 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.)
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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