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Fractions and Decimals

Fractions and Decimals
5 x 0.25 x 6.301 x 0.00394=?

0.0310324250
31.0324250
3.10324250
0.310324250

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here 5 x 25 x 6301 x 394=310324250Total decimal places = (2+3+5) = 10 ∴ 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250

Fractions and Decimals
If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ?

.025
.0025
25
.00025

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025

Fractions and Decimals
13.03 x 0.0001 = ?

0.24
0.204
0.0240
0.0024

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
0.9 x 0.008=?

0.72
0.072
None of these
0.00072

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 9 x 8=72∴ 0.09 x 0.008 = 0.00072 (Five place of decimal )

Fractions and Decimals
[ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ?

2
4
1
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression =(.6)³ + (.4) ³ + 3 x .6 x .4 x (.6 + .4)= a³ + b³ + 3ab (a+b) = (a+b)³= (.6 + .4)³ = 1³ = 1

Fractions and Decimals
Which of the following fraction is the smallest ?

5/7
3/7
11/13
9/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .

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