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Fractions and Decimals

Fractions and Decimals
The fraction ( 101 * 27/100000 ) in decimal form is :

1010.0027
10100.027.
101.00027
101000.27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
(1.1 + 1.1 + 1.1 + 1.1) x 1.1 x 1.1 = ? = ? x 0.121

44
54
33
64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (1.1 + 1.1 + 1.1 + 1.1) x 1.1 x 1.1/0.121    = (4.4 x 1.1 x 1.1)/0.121 = 44 

Fractions and Decimals
If 5/6 of a property worth be Rs.976500 then the value of 3/5 of the property is:

Rs. 903080
None of these
Rs. 703080
Rs. 803080

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the worth of total property be Rs.XWe have to find 3/5 of X.Given that, 5/6 th of the property = Rs.976500i.e., 5/6 x X = 976500X = 976500 x 6/5And, 3/5 of X = 3/5 x 976500 x 6/5 = 18 x 39060 = 703080Hence the answer is Rs. 703080

Fractions and Decimals
How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554 ?

5
8
6
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum of the decimal places = 7 .Since  the last digit to the extreme right will be zero ( 5 * 4 = 20),  so there will be  6  significant digits to the right of the decimal point....

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

0.04096
0.004096
0.4096
4.096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

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?

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

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.

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