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Fractions and Decimals

Fractions and Decimals
[(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ?

3
4
2
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13= [(a + b ) (a² + b² - ab)] / (a² + b² - ab) = a + b = 0.87 + 0.13= 1

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 ?

8
6
5
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
? % of 10.8 =32.4

300
100
600
500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let k % of 10.8=32.4 ⇒ (k x 10.8) / 100 = 32.4⇒ k = (32.4 x 100 )/10.8 = 300

Fractions and Decimals
What decimal fraction is 40 ml of a litre ?

.0004
4
.004
.04

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required fraction = 40/1000= 4/100 = .04

Fractions and Decimals
(3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ?

1
4
3
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35=(a - b)² / 1.69 = (3.65 - 2.35)² / 1.69 = (1.3)² / 1.69 = 1.69 / 1.69 = 1

Fractions and Decimals
(0.29)2 - (0.01)2/0.3 = ?

0.32
0.30
0.34
0.28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28

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