model 3 fraction of numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on number system topic of quantitative aptitude
(a) 7 $5/6$
(b) 7 $3/4$
(c) 6 $3/4$
(d) 6 $1/8$
The correct answers to the above question in:
Answer: (c)
$6/{7/8} = {6×8}/7 = 48/7$
= ${6/7}/8 = 6/{7×8} = 3/28$
Required difference = $48/7 – 3/28$
= ${192 - 3}/28 = 189/28 = 27/4 = 6{3}/4$
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Read more fractional numbers Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
The product of two fractions is $14/15$ and their quotient is $35/24$. The greater of the fractions is
a) $4/5$
b) $7/3$
c) $7/6$
d) $7/4$
Answer »Answer: (c)
Let the fractions be x and y, where x > y
$xy = 14/15$ and $x/y = 35/24$
$xy × x/ y$ = $14/15× 35/24$
$x^2$ = $49/36$⇒ $x = 7/6$
Question : 3
The number 0.121212.... in the form $\text"p"/\text"q"$ is equal to
a) $2/33$
b) $4/33$
c) $2/11$
d) $4/11$
Answer »Answer: (b)
0.121212 .... = 0.$\ov{12}$ = $12/99 = 4/33$
Question : 4
$1/10$ 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 : 5
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 : 6
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…;
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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