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18
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:   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.

Subject: Problems on Numbers - Quantitative Aptitude - Arithmetic Ability
Related Questions
Q:

A natural number when increased by 12 equals 160 times its reciprocal. Find the number?

A) 20 B) 12
C) 8 D) 4
 
Answer & Explanation Answer: C) 8

Explanation:

Let the required number be 'p'.

From the given data,

p + 12 = 160 x 1/p

=> p + 12 = 160/p

=> p(p + 12) = 160

=> P^2 + 12p - 160 = 0

=> p^2 + 20p - 8p - 160 = 0

=> P(p + 20) - 8(p + 20) = 0

=> (p + 20)(p - 8) = 0

=> p = -20 or p = 8

As, given the number is a natural number, so it can't be negative.

Hence, the required number p = 8.

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2 118
Q:

A text book of mathematics cost 2 Rs/- more than a text book of literature. If 5 literature books cost 38 Rs/- more than 3 mathematics books, what is the cost of each literature book?

A) 44 B) 22
C) 24 D) 11
 
Answer & Explanation Answer: B) 22

Explanation:

Let each literature text book cost be Rs. X

Then, cost of mathematics text book = Rs. (X + 2)

ATQ,

5X = 38 + 3(X + 2)

5X = 38 + 3X + 6

2X = 44

X = 22.

 

Therefore, cost of each literature text book = Rs. X = Rs. 22.

And that of masthematics = X + 2 = Rs. 24.

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2 359
Q:

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

A) 10 B) 5
C) 50 D) 25
 
Answer & Explanation Answer: B) 5

Explanation:

Let the larger number be p

Then, smaller number = 1/6 x p = p/6

Given difference between two numbers = 25

p - p/6 = 25

5p/6 = 25

5p = 150

p = 30

Then, p/6 = 30/6 = 5

Hence, larger number = 30 and smaller number = 5 which makes the difference = 25.

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0 470
Q:

The difference between 4632 and 20000 is what number

A) 15368 B) 12652
C) 14562 D) 14965
 
Answer & Explanation Answer: A) 15368

Explanation:

The difference between 4632 and 20000 is given by subtracting smaler number from the bigger number.

Here the bigger number is 20000

Smaller number is 4632

Now, subtracting 4632 from 20000

20000 - 4632 = 15368 and the resut is an even number.

 

Hence, The difference between 4632 and 20000 is 15368 and is an even number.

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0 789
Q:

The ratio of two positive numbers is 3 : 5 and the average of the number is 48. What is the product of numbers?

A) 3365 B) 2160
C) 1854 D) 1632
 
Answer & Explanation Answer: B) 2160

Explanation:

Let the number be 3p and 5p

ATQ,

8p = 2 x 48

p = 96/8

p = 12

 

The numbers are 36 and 60.

 

Hence, the product of the numbers = 36 x 60 = 2160.

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1 655
Q:

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = ?

A) 0 B) 2
C) 12 D) 10
 
Answer & Explanation Answer: C) 12

Explanation:

Given 

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1

Using BODMAS Rule,

As multiplication precedes addition, 1 x 0 = 0, 

Now, 10 + 0 + 1 + 1 = 10 + 2 = 12.

 

Hence, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.

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4 461
Q:

A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number?

A) 420 B) 210
C) 70 D) 35
 
Answer & Explanation Answer: B) 210

Explanation:

Let the required number be 'p'

We know, sum of angles in a triangle are 180 deg

According to given data,

p - p/7 = 180

7p - p = 180 x 7

=> 6p = 1260

=> p = 1260/6 = 210

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3 634
Q:

What is the common ratio of the following geometric sequence?

4, 2, 1, 0.5, 0.25, 0.125,...

A) 0.5 B) -1
C) 1.5 D) -0.5
 
Answer & Explanation Answer: A) 0.5

Explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

 

Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,...

Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.

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