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Fractions and Decimals

Fractions and Decimals
In the year 2011, Shantanu gets a total of Rs. 3832.5 as his pocket allowance. Find his pocket allowance per day.?

Rs. 1000.50
Rs. 1.50
Rs. 100.50
Rs. 10.50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Allowance per day = 3832.5 / 365 = Rs. 10.50

Fractions and Decimals
There are two fractions such that fraction X is thrice the fraction Y and their product is 25/12. Which of the following is equal to Y?

3/4
5/6
9/10
7/8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let X and Y are given fractions.Given that, fraction X is thrice the fraction Y;i.e., X = 3Y ...(1)And their product = X x Y = 25/12Sub. eqn (1) in above,(3Y)x(Y) = 25/123(Y²) = 25/12(Y²) = 25/36Y = 5/6Hence the required fraction is 5/6.

Fractions and Decimals
9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ?

17
18
15
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = a² -2ab + b² Where a =9.75 and b=5.75= (a-b)² = (9.75 - 5.75)² = 4²=16

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 :

0.4
0.04
4
None of these

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
Which of the following fraction is the smallest ?

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

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
3420 / 19 = ( ? / 0.01) x 7

9/30
9/40
9/45
9/35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 3420 / 19 = (y / 0.01) x 7Then , y = ( 3420 / 19) x (0.01 / 7) = 180 / 700 = 9/35

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