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Decimal Fraction - General Questions (3)

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  • Decimal Fraction - General Questions
17. 

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

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 = 2.50 = 250 = 10.
0.25 25

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

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18. 
 
If 144 = 14.4 , then the value of x is:
0.144 x
A. 0.0144
B. 1.44
C. 14.4
D. 144

Answer: Option A

Explanation:

 

144 = 14.4
0.144 x
144 x 1000 = 14.4
144 x
 x = 14.4 = 0.0144
1000
 
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19. 
 
4.2 x 4.2 - 1.9 x 1.9 is equal to:
2.3 x 6.1
A. 0.5
B. 1.0
C. 20
D. 22

Answer: Option B

Explanation:

 

Given Expression = (a2 - b2) = (a2 - b2) = 1.
(a + b)(a - b) (a2 - b2)
 
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20. 

0.04 x 0.0162 is equal to:

A. 6.48 x 10-3
B. 6.48 x 10-4
C. 6.48 x 10-5
D. 6.48 x 10-6

Answer: Option B

Explanation:

4 x 162 = 648. Sum of decimal places = 6.
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10-4

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21. 

3889 + 12.952 - ? = 3854.002

A. 47.095
B. 47.752
C. 47.932
D. 47.95

Answer: Option D

Explanation:

Let 3889 + 12.952 - x = 3854.002.

Then x = (3889 + 12.952) - 3854.002

   = 3901.952 - 3854.002

   = 47.95.

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22. 
 
(0.1667)(0.8333)(0.3333) is approximately equal to:
(0.2222)(0.6667)(0.1250)
A. 2
B. 2.40
C. 2.43
D. 2.50

Answer: Option D

Explanation:

 

Given expression
= (0.3333) x (0.1667)(0.8333)
(0.2222) (0.6667)(0.1250)
 
= 3333 x
1 x 5
6 6
2222
2 x 125
3 1000
 
= 1-sym-oparen-h1 3 x 1 x 5 x 3 x 8 1-sym-cparen-h1
2 6 6 2
 
= 5
2
  = 2.50
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23. 

The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:

A. 0.02
B. 0.2
C. 0.04
D. 0.4

Answer: Option C

Explanation:

Given expression = (11.98)2 + (0.02)2 + 11.98 x x.

For the given expression to be a perfect square, we must have

11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

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24. 
 
.009 = .01
?
A. .0009
B. .09
C. .9
D. 9

Answer: Option C

Explanation:

 

Let .009 = .01;     Then x = .009 = .9 = .9
x .01 1
 
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