(10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is : 11.3 12.3 13.3 14.3 a^3 +

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Home ‣ Aptitude ‣ Decimal Fraction Comments

Question
(10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is :
Options
A. 11.3
B. 12.3
C. 13.3
D. 14.3

Correct Answer

11.3

Explanation

a^3 + b^3 = (a+ b) * (a^2 + b^2 - ab)

[ (10.3)^3 + (1)^3 ] / [(10.3)^2 + (1)^2 - (1 * 10.3)]

=> a + b = 10.3 + 1 = 11.3

Decimal Fraction problems

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1. 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.

2. 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:

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

3. 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

4. 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

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

5. 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.

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

6. The number 0.127 is how much greater than 1/8 ?
Options
A. 1/100
B. 1/1500
C. 1/2
D. 1/500

Discuss

Correct Answer: 1/500

Explanation:

0.127 expressed as a fraction = 127/1000

1/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000

The difference is 2/1000, which is 1/500

7. What will be the value of 25.7322-15.7322
Options
A. 214.64
B. 314.64
C. 414.64
D. 412.64

Discuss

Correct Answer: 414.64

Explanation:

Can be easily solved with following formula

$(a^{2} - b^{2}) = (a - b) � (a + b)$

= (25.732 - 15.732 ) x (25.732 + 15.732)

=414.64

8. What will come in place of question mark in the following equation ? 54.(?)3 + 543 + 5.43 = 603.26
Options
A. 6
B. 1
C. 9
D. 8

Discuss

Correct Answer: 8

Explanation:

Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83

Missing digit = 8..

9. 18 as a decimal?
Options
A. 0.375
B. 0.247
C. 0.214
D. 0.125

Discuss

Correct Answer: 0.125

Explanation:

Here $\frac{1}{8}$ in decimal means 8th part in 1.

We know that $\frac{1}{10}$ = 0.1

Then, $\frac{1}{8} = ?$

=> $? = \frac{\frac{1}{8} x 0.1}{\frac{1}{10}} = \frac{0.1 x 10}{8} = \frac{0.5}{4} \frac{1}{8} = 0.125$

10. Express 3/8 and 1/10 as a Decimals?
Options
A. 1.375 & 1
B. 0.375 & 1
C. 13.75 & 1.1
D. 0.375 & 0.1

Discuss

Correct Answer: 0.375 & 0.1

Explanation:

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

=> $\frac{3 x 125}{8 x 125} = \frac{375}{1000} = 0.375$

1/10 as a Decimal :

1 divided into 10 parts of each 0.1.

Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

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(10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is :

Decimal Fraction problems

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