0.2�0.2+0.010.1�0.1+0.02-1 is equal to 5/3 9/5 41/4 41/12 Given expression = 0 .

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Home ‣ Aptitude ‣ Decimal Fraction Comments

Question
0.2�0.2+0.010.1�0.1+0.02-1 is equal to
Options
A. 5/3
B. 9/5
C. 41/4
D. 41/12

Correct Answer

5/3

Explanation

Given expression = $\frac{(0.2 � 0.2 � 0.01)}{(0.1 � 0.1 � 0.02)} = \frac{0.04 + 0.01}{0.01 + 0.02} = \frac{0.05}{0.03} = \frac{5}{3}$

Decimal Fraction problems

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

2. Which of the following are in descending order of their value?
Options
A. 5/9, 7/11, 8/15, 11/17
B. 5/9, 8/15, 11/17, 7/11
C. 11/17 , 7/11, 8/15, 5/9
D. 11/17, 7/11, 5/9, 8/15

Discuss

Correct Answer: 11/17, 7/11, 5/9, 8/15

Explanation:

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

5/9 = 0.55, 7/11 = 0.63, 8/15 = 0.533, 11/17 = 0.647

Clearly, 0.647>0.63>0.55>0.533

so , 11/17 > 7/11 > 5/9 > 8/15

3. 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 the person ?
Options
A. 18
B. 20
C. 24
D. 30

Discuss

Correct Answer: 18

Explanation:

Let the present age of person be x years.

Then, 3(x + 3) - 3(x - 3 ) = x <=> (3x + 9) - (3x - 9) = x <=> x = 18..

4. The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :
Options
A. 0.01
B. 0.02
C. 0.03
D. 0.04

Discuss

Correct Answer: 0.04

Explanation:

Given = (11.98)^2 + (0.02)^2 + 11.98 * x.

For the given expression to be a perfecr square, we must have

11.98 * x = 2 * 11.98 * 0.02 => x = 0.04

5. What is the quotient of 18/1000?
Options
A. 1.8
B. 0.18
C. 0.018
D. 0.0018

Discuss

Correct Answer: 0.018

Explanation:

In these type of fractions, the decimal moves left the number of zeroes in the divisor times. Herein the given question 18/1000, there are 3 zeros in 1000 (divisor). Hence, the quotient is 0.018.

The quotient of 18/1000 = 0.018.

6. 1/8 as a decimal?
Options
A. 0.125
B. 0.225
C. 0.325
D. 0.425

Discuss

Correct Answer: 0.125

Explanation:

1/8 to convert into decimal,

Find an equivalent fraction with a denominator of a power of 10.

In this case, we will use 1000.

$\frac{1}{8} x \frac{125}{125} = \frac{125}{1000}$

This can now be written as a decimal with 3 decimal places (because we have thousandths.

i.e, 0.125

Hence, $\frac{1}{8} as a decimal = 0.125$

7. 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.

8. 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.

9. (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...

10. Evaluate : 3.392-2.6123.39-2.69 ?
Options
A. 3
B. 4
C. 6
D. 1

Discuss

Correct Answer: 6

Explanation:

It is in the form of $\frac{a^{2} - b^{2}}{a - b} = \frac{(a + b) (a - b)}{a - b} = a + b$

Here a = 3.39 b = 2.61

= 3.39 + 2.61 = 6.

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0.2�0.2+0.010.1�0.1+0.02-1 is equal to

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