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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:

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

A) 100 B) 200
C) 300 D) 400
 
Answer & Explanation Answer: D) 400

Explanation:

Let the numbers be x and y.

 

Then, xy = 9375 and  x/y = 15.

 

xyxy=9375/15

 

=>y2 =625

 

=> y = 25

 

=> x = 15y = 15 x 25 = 375.

 

Sum of the numbers = 375 + 25 = 400.

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Filed Under: Problems on Numbers

Q:

Find the number which when multiplied by 15 is increased by 196.

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

Explanation:

Let the number be x. Then, 15x - x = 196 <=> 14x = 196 => x = 14..

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Q:

The sum of the digits of a two-digit number is 9 less than the number. Which of the following digits is at unit's place of the number ?

A) 1 B) 2
C) 3 D) data inadequate
 
Answer & Explanation Answer: D) data inadequate

Explanation:

Let the ten's digit be x and unit's digit be y. Then, (10x + y) - (x + y) = 9 or x = 1.

From this data we cannot find  y, the unit's digit. So the data is inadequate..

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Filed Under: Problems on Numbers

Q:

54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :

A) 24 B) 34
C) 44 D) 54
 
Answer & Explanation Answer: B) 34

Explanation:

Let the two parts be (54 - x) and x.

Then, 10 (54 - x) + 22x = 780

=> 12x = 240  

=>  x = 20.

Bigger part = (54 - x)  = 34.

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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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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