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Fractions and Decimals

Fractions and Decimals
( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) = ?

11
11.1
1.1
111.1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.6)³ ] / [(0.5)² - 0.5 x 0.6 + (0.6)²]= (a³+b³) / ( a²-ab+b²)= a + b= 0.5 + 0.6= 1.1

Fractions and Decimals
Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 .

10/11
9/11
7/11
5/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/3 + 1/15 + 1/35 + 1/63 + 1/99= [1/3 + 1/15] + 1/35 + 1/63 + 1/99 = [6/15 + 1/35] + 1/63 + 1/99= 45/105 + 1/63 + 1/99 = [3/7 + 1/63] + 1/99= 28/63 + 1/99 = 4/9 + 1/99= 44 + 1/99 = 45/99 = 5/11

Fractions and Decimals
51.3 + 7.078 +1.38 + 0.9 = ?

60.658
80.658
50.658
70.658

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

51.300 + 7.078 + 1.380 + 0.900 = 60.658

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
7
6
8

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
A vessel, full of water, weighs 16.5 kg. When the vessel is (1/4)th full, it weight 5.25 kg. Then, weight of the empty vessel (in kg) is ?

1.5 kg
1000.5 kg
100.5 kg
10.5 kg

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the weight of vesel = x kg Then, 1/4 of volume of water = (5.25 - x)kg Full volume of water = (16.5 - x)∴ 4(5.25 - x) = (16.5 - x)⇒ 21 - 4x = 16.5 - x ⇒ 21 - 16.5 = 3x ∴ x = 4.5/3 = 1.5 kg 

Fractions and Decimals
8.32 x 0.999 = ?

83.1168
8.31168
831.168
8311.68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 8.32 x 0.999= 8.32 x (1-0.001) = 8.32 - 8.32 x 0.001=8.32 - .00832 = 8.31168

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