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Fractions and Decimals

Fractions and Decimals
(369.99)² = ?

1369 x 10²
1369 x 10
1369
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1369 x 10²

Fractions and Decimals
In a polling booth, total number of voters is 1575 out of which 0.4 part are male voters. If a candidate gets 0.4 part of female votes, then find how many votes did the candidate get ?

456
556
656
756

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of male voters = 4/10 of 1575 = 4/10 x 1575 = 630 Number of female voters=1575 - 630 = 945 Now, total votes that candidate got = (6/10) x 630 + (4/10) x 945 = 378 + 378 = 756 

Fractions and Decimals
The value of [0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02] / [0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04] is:

1.25
12.5
125
0.125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.1)³ + (0.02)³] / 2³ [(0.1)³ + (0.02)³]=1/8= 0.125

Fractions and Decimals
There are two fractions such that fraction X is thrice the fraction Y and their product is 25/12. Which of the following is equal to Y?

9/10
5/6
3/4
7/8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let X and Y are given fractions.Given that, fraction X is thrice the fraction Y;i.e., X = 3Y ...(1)And their product = X x Y = 25/12Sub. eqn (1) in above,(3Y)x(Y) = 25/123(Y²) = 25/12(Y²) = 25/36Y = 5/6Hence the required fraction is 5/6.

Fractions and Decimals
3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = ?

0.5
1.5
2.0
1.0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = 3 / [3- { 273 / (3 x 91)}] = 3 / (3-1)= 3 / 2 = 1.5

Fractions and Decimals
If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is ?

5/12
1/16
3/20
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required fraction be p/q∵ p / (q + 3) = 1/3⇒ 3p - q = 3 ...(i)and, (p + 4) / q = 3/4 ⇒ 4p - 3q = -16 ...(ii)Solving these equations, we get p = 5, q = 12∴ Required fraction = 5/12

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