(0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to : 5/3 9/3 11/3 13/3 Give

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Home ‣ Aptitude ‣ Decimal Fraction Comments

Question
(0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :
Options
A. 5/3
B. 9/3
C. 11/3
D. 13/3

Correct Answer

5/3

Explanation

Given = (0.2 * 0.2 + 0.01) / ( 0.1 * 0.1 + 0.02) = (0.04 + 0.01) / (0.01 + 0.02) = 0.05 / 0.03 = 5/3...

Decimal Fraction problems

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1. 5/8 as a Decimal Equals To
Options
A. 0.625
B. 0.541
C. 0.258
D. 0.147

Discuss

Correct Answer: 0.625

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

Therefore, the decimal value of $\frac{5}{8}$ is 0.625.

Now find a decimal value of $(\frac{11}{17})$ and Discuss your at Discuss.

2. 125 over 1000 in Simplest Form?
Options
A. 2/9
B. 1/8
C. 3/8
D. 4/7

Discuss

Correct Answer: 1/8

Explanation:

125 over 1000 in Simplest Form means $\frac{125}{1000}$ in its simple fraction form.

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

HCF of 125, 1000 = 125

Then, divide both numerator and denominator by 125

i.e, $\frac{\frac{125}{125}}{\frac{1000}{125}} = \frac{1}{8}$

Hence, $\frac{1}{8}$ is the simplest form of 125 over 1000.

3. What is the decimal conversion of 18?
Options
A. 0.375
B. 0.247
C. 0.214
D. 0.125

Discuss

Correct Answer: 0.125

4. (0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :
Options
A. 5/3
B. 9/3
C. 11/3
D. 13/3

Discuss

Correct Answer: 5/3

Explanation:

Given = (0.2 * 0.2 + 0.01) / ( 0.1 * 0.1 + 0.02) = (0.04 + 0.01) / (0.01 + 0.02) = 0.05 / 0.03 = 5/3...

5. When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.0168?
Options
A. 3.12
B. 312
C. 3120
D. None of these

Discuss

Correct Answer: 3120

Explanation:

Given, $\frac{52416}{312} = 168 ? \frac{52416}{168} = 312$

Now , $\frac{52.416}{0.0168} = \frac{52416}{16.8} = \frac{52416}{168} � 10 = 312 � 10 = 3120$

6. What will be the vulgar fraction of 0.75 ?
Options
A. 3/5
B. 3/4
C. 3/2
D. 3/7

Discuss

Correct Answer: 3/4

Explanation:

0.75 = 75/100 = 3/4

7. What is the difference between the biggest and the smallest fraction among 2/3 , 3/4 , 4/5 and 5/6?
Options
A. 1/6
B. 1/12
C. 1/20
D. 1/30

Discuss

Correct Answer: 1/6

Explanation:

Converting each of the given fractions into decimal form, we get

2/3 = 0.66, 3/4 = 0.75, 4/5 = 0.8, 5/6 = 0.833

Since 0.833>0.8>0.75>0.66

So, 5/6 > 4/5 > 3/4 > 2/3

Therefore, Required Difference = 5/6 - 2/3 = 1/6

8. 138.009 + 341.981 - 146.305 = 123.6 + ?
Options
A. 120.o85
B. 199.57
C. 295.05
D. None of these

Discuss

Correct Answer: None of these

Explanation:

Let 138.009 + 341.981 - 146.305 = 123.6 + z

Then, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085

9. What is 15 as a decimal?
Options
A. 0.333
B. 0.666
C. 0.200
D. 0.452

Discuss

Correct Answer: 0.200

Explanation:

Here I converted the original fraction to a fraction with the denominator being 10, because decimals can be written in the tenths place.

$Divide numerator and denominator with' 2' \frac{1}{5} x \frac{2}{2} = \frac{2}{10} = 0.2$

10. Express 0.875 and 0.375 as a Fraction
Options
A. 3/11 & 7/11
B. 7/9 & 9/13
C. 7/8 & 3/8
D. 7/9 & 9/11

Discuss

Correct Answer: 7/8 & 3/8

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(0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :

Decimal Fraction problems

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