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Fractions and Decimals

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

25
.0025
.00025
.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

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
3/20
1/16
5/12

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
If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

1.72
17.2
None of these
172

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

29.94 / 1.45 = 299.4 / 14.5 = [(2994 /14.5) x (1 / 10)] [ Here, Substitute 172 in the place of 2994/14.5 ]=172 / 10= 17.2

Fractions and Decimals
13.03 x 0.0001 = ?

0.0240
0.0024
0.204
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
The fraction ( 101 * 27/100000 ) in decimal form is :

101.00027
101000.27
1010.0027
10100.027.

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

101 * 27 / 100000 = 101 + 27 / 100000 = 101 + .00027 = 101.00027.

Fractions and Decimals
If 2805 / 2.55 = 1100, then 280.5 / 25.5 is equal to ?

21
31
11
41

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression 280.5 / 25.5 = 2805 / 255= 2805 / (2.55 x 100) = 1100 / 100 =11

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