Aptitude Decimal Fraction Test Paper 2

Answer: B

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

Answer: D

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

Answer: C

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.

Answer: C

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

Answer: B

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