138.009 + 341.981 - 146.305 = 123.6 + ? 120.o85 199.57 295.05 None of these Let

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Home ‣ Aptitude ‣ Decimal Fraction Comments

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

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

Decimal Fraction problems

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1. 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

2. 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

3. 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.

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. 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.

6. 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.

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

7. 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

Explanation:

Given 0.875 and 0.375

0.875 ::

After decimal point there are 3 digits 875

Now, mutiply and divide 0.875 with 1000

$0.875 x \frac{1000}{1000} = \frac{875}{1000} Now, this can be reduced to fraction \frac{7}{8} Therefore, 0.875 as fraction = \frac{7}{8}$

Similarly,

0.375 ::

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

$0.375 x \frac{1000}{1000} = \frac{375}{1000} Now, this can be reduced to fraction \frac{3}{8} Therefore, 0.375 as fraction = \frac{3}{8}$

8. When 0.46 is written in simplest form, the sum of the numerator and the denominator is ?
Options
A. 69
B. 73
C. 96
D. 41

Discuss

Correct Answer: 73

Explanation:

0.46 = 46/100 = 23/50.

Sum of the numerator and denominator is 23 + 50 = 73

9. Correct expression of 6.46 is
Options
A. 640/99
B. 640/90
C. 64000/99
D. 640/9

Discuss

Correct Answer: 640/99

Explanation:

$6.46 = 6 + 0.46 = 6 + (\frac{46}{99}) \frac{(594 + 46)}{99} = > \frac{640}{99}$

10. When 52416 divided by 312 , the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ?
Options
A. 3120
B. 32.10
C. 321.0
D. 3.120

Discuss

Correct Answer: 3120

Explanation:

Given, 52416 / 312 = 168.

<=> 52416 / 168 = 312.

52.416 / 0.0168 = 524160 / 168 = 3120.

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138.009 + 341.981 - 146.305 = 123.6 + ?

Decimal Fraction problems

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