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) $1/24$
(b) $1/60$
(c) $1/32$
(d) $1/40$
The correct answers to the above question in:
Answer: (c)
1 day = 24 × 60 minutes
Required fraction = $45/{24 × 60} = 1/32$
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Read more fractional numbers Based Quantitative Aptitude Questions and Answers
Question : 1
$1/10$ 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 : 2
By how much does $6/\text"7/8"$ exceed $\text"6/7"/8$ ?
a) 7 $5/6$
b) 7 $3/4$
c) 6 $3/4$
d) 6 $1/8$
Answer »Answer: (c)
$6/{7/8} = {6×8}/7 = 48/7$
= ${6/7}/8 = 6/{7×8} = 3/28$
Required difference = $48/7 – 3/28$
= ${192 - 3}/28 = 189/28 = 27/4 = 6{3}/4$
Question : 3
A tin of oil was 4 5 full. When 6 bottles of oil was taken out and 4 bottles of oil was poured into it, it was $3/4$ full. How many bottles of oil can the tin contain ?
a) 40
b) 30
c) 20
d) 10
Answer »Answer: (a)
Let the tin contain x bottles of oil.
As given,
$4/5x – 6 + 4 = 3/4x$
$4/5x – 3/4 x$ = 2
$({16 – 15}/20)x$ = 2
$x/20$ = 2 ⇒ x = 2 × 20 = 40
The tin can contain 40 bottles.
Question : 4
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 : 5
$1/5$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 : 6
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
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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