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Fractions and Decimals

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

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

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 .

Fractions and Decimals
( 17.28 / ? ) / (3.6 x 0.2) = 200

0.10
0.12
0.11
0.13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let (17.28 / y) / (3.6 x 0.2) = 200Then,17.28 / y = 200 x 3.6 x 0.2∴ y = 17.28 / (200 x 3.6 x 0.2) = 1728 / 200 x 36 x 2 = 0.12.

Fractions and Decimals
The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :

None of these
0.4
0.04
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given = (11.98)^2 + (0.02)^2 + 11.98 * x. For the given expression to be a perfect square, we must have11.98 * x = 2 * 11.98 * 0.02=> x = 0.04

Fractions and Decimals
The product of 3.5413 x 2.1 is

7.43673
74.3673
743.673
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

For the product of 3.5413 x 2.1Consider 35413 x 21 = 743673Total decimal places = 4 + 1∴ 3.5413 x 2.1=7.43673

Fractions and Decimals
If 1 / 3.718 = .2689, then the value of 1 / .0003718 is ?

268
268903
2689
26890

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1 / .003718 = 10000 / 3.718 = 10000 x ( 1/3.718)= 10000 x .2689 = 2689.

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

25
.00025
.0025
.025

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

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