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Fractions and Decimals

Fractions and Decimals
Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ?

5/13
6/11
3/5
4/7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4/7 = 0.57, 5/13 = 0.38, 6/11 = 0.54, 3/5 = 0.6 and 2/3 = 0.67Clearly, the second smallest fraction is 6/11

Fractions and Decimals
The value of (489.1375 x 0.0483 x 1.956) / (0.0873 x 92.581 x 99.749) is closest to:

0.6
None of these
0.06
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(489.1375 x 0.0483 x 1.956) / (0.0873 x 92.581 x 99.749)= (489 x 0.05 x 2) / (0.09 x 93 x 100)= 489 / (9 x 93 x 10)= (163 / 279) x (1 / 10)= 0.58 / 10= 0.058  or 0.06

Fractions and Decimals
0.000033 / 0.11=?

0.003
0.3
0.03
0.0003

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.000033 / 0.11= 0.0033 / 11=.0003

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 ?

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

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

Fractions and Decimals
(369.99)² = ?

1369 x 10
1369
1369 x 10²
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1369 x 10²

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

.00025
25
.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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