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Q:

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

A) 11.3	B) 12.3
C) 13.3	D) 14.3

Answer & Explanation Answer: A) 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

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Filed Under: Decimal Fractions

Q:

What will come in place of question mark in the following equation ?

54.(?)3 + 543 + 5.43 = 603.26

A) 6	B) 1
C) 9	D) 8

Answer & Explanation Answer: D) 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..

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Filed Under: Decimal Fractions

Q:

When 0.36 is written in simplest form, the sum of the numerator and the denominator is :

A) 15	B) 34
C) 64	D) 13

Answer & Explanation Answer: B) 34

Explanation:

0.36 = 36/100 = 9/25.

Sum of the numerator and denominator is 9 + 25 = 34

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Filed Under: Decimal Fractions

Q:

The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :

A) 0.01	B) 0.02
C) 0.03	D) 0.04

Answer & Explanation Answer: D) 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

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Filed Under: Decimal Fractions

Q:

If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :

A) 73/77	B) 7.3/77
C) 730/77	D) 7300/77

Answer & Explanation Answer: A) 73/77

Explanation:

x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75.

= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77...

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Filed Under: Decimal Fractions

Q:

The rational for the recurring decimal 0.125125......is

A) 125/99	B) 125/999
C) 125/9999	D) 125/9

Answer & Explanation Answer: B) 125/999

Explanation:

0.125125...... = $0 . \bar{125}$ = 125/999

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Filed Under: Decimal Fractions

Q:

How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554 ?

A) 6	B) 7
C) 8	D) 9

Answer & Explanation Answer: A) 6

Explanation:

Sum of the decimal places = 7 .

Since the last digit to the extreme right wil be zero ( 5 * 4 = 20), so there will be 6 significant digits to the right of the decimal point....

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Filed Under: Decimal Fractions

Q:

Which of the following fractions is greater than 3 /4 and less than 5 / 6 ?

A) 3 / 5	B) 4 / 5
C) 7 / 5	D) 9 / 5

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