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Fractions and Decimals

Fractions and Decimals
(10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is :

11.3
1.3
111.3
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a^3 + b^3 = (a+ b) * (a^2 + b^2 - ab)..( (10.3)^3 + (1)^3 ) / ((10.3)^2  + (1)^2 - (1 * 10.3))=> a + b = 10.3 + 1 = 11.3

Fractions and Decimals
Two times of the third of three consecutive even integers is three times of the first. Then the second integer is

10
1
7
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the consecutive three integers be X, X + 2 and X + 4Then, 2(X + 4) = 3XX = 8Now X + 2 = 10The required second integer is 10

Fractions and Decimals
Arrange the fractions in ascending order: 3/4, 5/8, 7/12, 13/16

7/12 < 5/8 < 3/4 < 13/16
5/8 < 3/4 < 13/16 < 7/12
5/8 < 7/12 < 13/16 < 3/
5/8 < 7/12 < 3/4 < 13/16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/8 = .625,7/12 = .5833, 3/4 = .75,13/16 = .8125So order will be 7/12 < 5/8 < 3/4 < 13/16

Fractions and Decimals
25 / .0005 = ?

50000
5000
500000
500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

25 / .0005= 250000 / 5= 50000

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

2689
268
268903
26890

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
(.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ?

62.5
.625
6.25
.0625

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]= (a² -2ab + b²) / (c²+2cd+d²)= (a - b)² / (c + d)²= (.356 -.106)² / (.632 + .368)²= (.25)² = .0625

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