Decimal Fraction - Arithmetic Aptitude Questions and Answers

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$\frac {4.2 *4.2-1.9*1.9 } { 2 .3*6.1}$ is equal to:

A.

0.5

B.

1.0

C.

20

D.

22

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Answer : Option B

Explanation :

Given Expression = $\frac { (a^2-b^2) } {(a+b)(a-b)}$ = $\frac { (a^2-b^2) } { (a^2-b^2)} =1$

If $\frac { 144 } {0.144 }$ = $\frac { 14.4 } {X }$ ,then the value of x is

A.

0.0144

B.

1.44

C.

14.4

D.

144

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Answer : Option A

Explanation :

$\frac { 144 } {0.144 }$ = $\frac { 14.4 } {X }$

$\frac { 144*1000 } { 144 }$ = $\frac { 14.4 } {X }$

x = $\frac { 14.4 } {1000 }$ =0.0144

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?

A.

2010

B.

2011

C.

2012

D.

2013

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Answer : Option B

Explanation :

Suppose commodity X will cost 40 paise more than Y after z years.

Then, (4.20 + 0.40z) - (6.30 + 0.15z) = 0.40

0.25z = 0.40 + 2.10

z = $\frac { 2.50} { 0.25 }$ = $\frac { 250} { 25 }$ =10

X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.

Which of the following are in descending order of their value ?

A.

$\frac { 1 } {3 }$ , $\frac { 3} {7 }$ , $\frac {4 } {5 }$ , $\frac {5 } {6 }$ , $\frac { 6} {7 }$

B.

$\frac { 1 } {3 }$ , $\frac { 2 } {5 }$ , $\frac { 3} {5 }$ , $\frac {4 } {7 }$ , $\frac {5 } {6 }$ , $\frac { 6} {7 }$

C.

$\frac { 1 } {3 }$ , $\frac { 2 } {5 }$ , $\frac { 3} {5 }$ , $\frac {4 } {6 }$ , $\frac { 5} {7 }$ , $\frac { 6} {7 }$

D.

$\frac { 6} {7 }$ , $\frac {5 } {6 }$ , $\frac {4 } {5 }$ , $\frac { 3} {7 }$ , $\frac { 2 } {5 }$ , $\frac { 1 } {3 }$

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Which of the following fractions is greater than $\frac { 3 } {4 }$ and less than $\frac { 5 } { 6 }$ ?

A.

$\frac { 1 } { 2 }$

B.

$\frac { 2 } { 3 }$

C.

$\frac { 4} {5 }$

D.

$\frac {9 } { 10 }$

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