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Q:

The denominator of a fraction is 3 more than the numerator. If the numerator as well as the denominator is increased by 4, the fraction becomes 4/5. What was the original fraction ?

A) 7/11	B) 8/11
C) 9/11	D) 10/11

Answer & Explanation Answer: B) 8/11

Explanation:

Let the numerator be x Then, denominator = x + 3.

Now. (x + 4)/(x + 3) +4 = 4/5 <=> 5 (x + 4) = 4(x + 7)

=> x = 8.

The fraction is 8/11.

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Filed Under: Problems on Numbers

Q:

If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number ?

A) 156	B) 179
C) 198	D) 216

Answer & Explanation Answer: D) 216

Explanation:

Let the number be x.

Then, 2/3x-50 = 1/4x +50

=> 5/12x = 90

x = (90 x 12) / 5 = 216

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Filed Under: Problems on Numbers

Q:

If 1 is added to the denominator of a traction, the fraction becomes 1/2. If 1 is added to the numerator of the fraction, the fraction becomes 1. The fraction is :

A) 1/3	B) 2/3
C) 4/3	D) 5/3

Answer & Explanation Answer: B) 2/3

Explanation:

Let the fraction be x/y. Then, x /(y+1) = 1/2

=> 2x - y = 1 ..........(i)and

(x + 1) / y = 1 => x - y = 1 .......(ii)

Solving (i) and (ii), we get : x = 2, y = 3. Hence, the required fraction is 2/3..

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Filed Under: Problems on Numbers

Q:

In a two-digit number, the digit in the unit's place is more than twice the digit in ten's place by 1. If the digits in the unit's place and the ten's place are interchanged,difference between the newly formed number and the oiginal number is less than the original number by 1. What is the original number ?

A) 35	B) 36
C) 37	D) 39

Answer & Explanation Answer: C) 37

Explanation:

Let the ten's digit be x. Then, unit's digit = 2x + 1.

[10x + (2x + 1)] - [{10 (2x + 1) + x} - {10x + (2x + 1)}] = 1

<=> (12x + 1) - (9x + 9) = 1 <=> 3x = 9, x = 3.

So, ten's digit = 3 and unit's digit = 7. Hence, original number = 37.

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Filed Under: Problems on Numbers

Q:

A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number ?

A) 2	B) 4
C) 6	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Let the number be v. Then, 3 (2x + 9) = 75.

2x + 9 = 25

=> 2x = 16

=> x = 8

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Filed Under: Problems on Numbers

Q:

The difference between a number and its three-iflh is 50. What is the number ?

A) 75	B) 100
C) 125	D) 150

Answer & Explanation Answer: C) 125

Explanation:

Let the number be x. Then, x - 3x/5 = 50 <=> x = (50 * 5) / 2 = 125..

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Filed Under: Problems on Numbers

Q:

If the first and second letters in the word 'MISFORTUNE' were interchanged, also the third and the fourth letters, the fifth and the sixth letters and so on, which letter would then be the eighth letter counting to your left ?

A) O	B) T
C) F	D) I

Answer & Explanation Answer: B) T

Explanation:

The new letter sequence is I M F S R O U T E N

The 8th letter counting towards left is T

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Filed Under: Alphabet Test

Q:

If in the word 'DISTURBANCE', the first letter is interchanged with the last letter, the second letter is interchanged with the tenth letter and so on, which letter would come after the letter T in the newly formed word ?

A) S	B) I
C) T	D) N

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