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Fractions and Decimals

Fractions and Decimals
(44.99)² - (15.01)² = ?

1500
1100
700
1800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

Fractions and Decimals
Which of the following fraction is greater than 4/5 and less than 6/7?

5/6
2/3
3/4
10/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have to find X such that 4/5 < X < 6/7Converting each fraction into decimal form, we get:4/5 = 0.86/7 = 0.85We have to find the fraction which is greater than 0.8 and less than 0.85.Now,2/3 = 0.663/4 = 0.755/6 = 0.8310/11 = 0.91Clearly, 0.83 lies between 0.8 and 0.85.Required fraction is 5/6

Fractions and Decimals
The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is ?

7/8
5/6
2/5
11/12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875Clearly, the greatest fraction is 0.916, i, e . 11/12.

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

268903
268
26890
2689

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
6 x 0.6 x 0.06 x 0.006 x 60 = ?

7.776
0.07776
77.76
0.7776

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 6 x 6/10 x 6/100 x 6/1000 x 60 = 77760/1000000                  = 7776/100000 = 0.07776

Fractions and Decimals
If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

172
1.72
17.2
None of these

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

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