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Fractions and Decimals

Fractions and Decimals
What decimal of an hour is a second

0.0028
0.0026
0.0027
0.0025

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1 / (60 * 60) = 1 / 3600 = .0027

Fractions and Decimals
When 0.36 is written in simplest form, the sum of the numerator and the denominator is :

23
12
34
45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.36 = 36/100 = 9/25.Sum of the numerator and denominator is 9 + 25 = 34

Fractions and Decimals
From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ?

1/5
1/3
1/2
1/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4 

Fractions and Decimals
0.008 x 0.3 = ? a) 0.24 b) 0.0240 c) 0.204 d) 0.0024

0.024
0.0024
0.00024
0.24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression is, 0.008 x 0.3The multiplication value without decimal point = 8 x 3 = 24Sum of the number of decimal places in the given numbers = 3 + 1 = 4Now, in the product, the decimal point is marked off to obtain as many places of decimal.Then the answer is 0.0024.

Fractions and Decimals
Find the value of 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]

800
1200
1600
1400

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]= 2 x [(36 x 48 x 250) / (12 x 9 x 5)]= 2 x 4 x 4 x 50 = 1600

Fractions and Decimals
The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is :

0.56
0.36
0.86
0.46

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86

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