# Aptitude Decimal Fraction Test Paper 2

6) If 12276 /1.55 = 7920, what is the value of 122.76/15.5?

1. 7.097
2. 7.92
3. 79.2
4. 79.02

Explanation:

Note: If numerator and denominator have the different number of decimal place, we have to equate both numbers of figures in decimal part by putting zeros, and then remove the decimals.

i.e., 12276/1.55 is equals to 1227600/155 = 7920.
Similarly, 122.76/ 15.5 = 12276/1550 = 7.92

7) Find the value of the given expression
11.121/ 0.11 + 111.21/0.11

1. 1022.121
2. 1111.200
3. 1202.121
4. 1112.100

Explanation:

Note: the mathematical expressions follow BODMAS rule for priority.

So, division expression will be evaluated first
i.e., 11.121/0.11 = 11121/110 = 101.1
And, 111.21/0.11 = 11121/11 = 1011
Now, addition of both numbers = 1011 + 101.1 = 1112.1

8) 54.327 * 357.2 * 0.0057 is the same as

1. 54327 * 3572 * 0.0000057
2. 5.4327 * 3.572 * 0.57
3. 5.4327 * 3.572 * 5.7
4. None of these

Explanation:

As per the question: 54.327 * 357.2 * 0.0057 = 110.611........ (i)
Option a: 54327 * 3572 * 0.0000057 = 1106.11..... (ii)
Option b: 5.4327 * 3.572 * 0.57 = 11.06......... (iii)
Option c: 5.4327 * 3.572 * 5.7 = 110.611............ (iv)
The value of equation i and iv is same. So, the answer is option C.

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

1. 0.02
2. 0.2
3. 0.04
4. 0.4

Explanation:

We know that the formula of (a+b) 2 = a2 + b2 + 2ab
Let a = 11.98, and b = 0.02
Here, the expression should be 11.98*11.98 + 0.02*0.02 + 2*11.98 * 0.02
But the actual expression is 11.98 * 11.98 + 0.02*0.02 + 11.98 * x
Compare both the expression, we get x = 2*0.02 = 0.04

10) The value of [2.75*2.75*2.75 - 2.25*2.25*2.25]/[2.75*2.75+2.75*2.25+2.25*2.25] is

1. 0.30
2. 0.50
3. 3
4. 5

Explanation:

Given expression

X= [(2.75)3 - (2.25)3]/ [(2.75)2+ 2.75 * 2.25 + (2.25)2]
We have, a3 - b3 = (a-b) (a2 + ab + b2)

Therefore, x = [(2.75 - 2.25) {(2.75)2 + 2.75*2.25 + (2.25)2}]/ [(2.75)2 + 2.75 *2.25 + (2.25)2]
Or, x = 2.75 - 2.25 = 0.50

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Decimal Fraction Concepts   