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Fractions and Decimals

Fractions and Decimals
The product of 3.5413 x 2.1 is

74.3673
None of these
7.43673
743.673

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

For the product of 3.5413 x 2.1Consider 35413 x 21 = 743673Total decimal places = 4 + 1∴ 3.5413 x 2.1=7.43673

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
0.15 / (0.5 / 15) = ?

400.5
None of these
4.5
40.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let Y = 0.15 / (0.5 / 15) = (15/100) / [(5/100) / 15) = 4.5

Fractions and Decimals
5 x 0.25 x 6.301 x 0.00394=?

0.310324250
31.0324250
0.0310324250
3.10324250

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here 5 x 25 x 6301 x 394=310324250Total decimal places = (2+3+5) = 10 ∴ 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250

Fractions and Decimals
[(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ?

3
2
1
0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = [(a - b)² + (a + b)²] / (a²+ b²) (Where a = 3.537 and b = 0.948)= 2(a² +b²) / (a² +b²) = 2

Fractions and Decimals
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:

0.00004
0.004
0.0004
0.04

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (11.98)² + (0.02)² + 11.98 x x.For the given expression to be a perfect square, we must have11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

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