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Q:

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 ?

A) 18 B) 20
C) 24 D) 30
 
Answer & Explanation Answer: A) 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..

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Filed Under: Decimal Fractions

Q:

Which is the third number to the left of the number which is exactly in the middle of the following sequence of numbers?

1  2  3  4  5  6  7  8  9  2  4  6  8  9  7  5  3  1  9  8  7  6  5  4  3  2  1

A) 3 B) 5
C) 4 D) 7
 
Answer & Explanation Answer: C) 4

Explanation:

There are 27 numbers in the given sequence 

So, middle number = 14th number = 9

Clearly, the third number to the left of this 9 is 4

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Q:

0.002 * 0.5 = ?

A) 0.0001 B) 0.001
C) 0.01 D) 0.1
 
Answer & Explanation Answer: B) 0.001

Explanation:

2 * 5 = 10. Sum of decimal places =  4.

.002  * .5 = 0.0010 = 0.001 

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Filed Under: Decimal Fractions

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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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