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Fractions and Decimals

Fractions and Decimals
In the year 2011, Shantanu gets a total of Rs. 3832.5 as his pocket allowance. Find his pocket allowance per day.?

Rs. 10.50
Rs. 1.50
Rs. 100.50
Rs. 1000.50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Allowance per day = 3832.5 / 365 = Rs. 10.50

Fractions and Decimals
[(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] = ?

100
1000
100000
10000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] Which is in form of [(a² + b² + c²)] /[ (a/10)² + (b/10)² + (c/10)²] = 100 x (a² + b² + c²) / (a²+b²+c²) = 100

Fractions and Decimals
If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ?

.025
.0025
25
.00025

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025

Fractions and Decimals
A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of

16
18
17
19

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the present age of person be   x years.Then, 3(x + 3) - 3(x - 3 ) = x  <=> (3x + 9) - (3x - 9) = x  <=> x = 18

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

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

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
9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ?

1.11
3.33
2.22
4.44

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (9.99 x 9.9 x 9)/(9.9 x 0.9 x 0.3) = 3.33

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