Quantitative Aptitude - Arithmetic Ability Questions

Q:

36 identical books must be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ?

A) 5 B) 6
C) 7 D) 8
 
Answer & Explanation Answer: A) 5

Explanation:

The following arrangements satisfy all 3 conditions.

Arrangement 1: 3 books in a row; 12 rows.

Arrangement 2: 4 books in a row; 9 rows.
Arrangement 3: 6 books in a row; 6 rows.
Arrangement 4: 9 books in a row; 4 rows.
Arrangement 5: 12 books in a row; 3 rows.

 

Therefore, the possible arrangements are 5.

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Q:

The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the due period.

A) 6months B) 5months
C) 8months D) 3months
 
Answer & Explanation Answer: C) 8months

Explanation:

P.W= Amount – (T.D)

 

Time = 100×TDPW×R

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6 4579
Q:

How many numbers up to 101 and 300 are divisible by 11  ?

A) 18 B) 20
C) 19 D) 17
 
Answer & Explanation Answer: A) 18

Explanation:

(300 – 101)/11 = 199/11 = 18 1/11

18 Numbers.

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Q:

Rishi bought 30 kg of sugar at the rate of Rs. 9 per kg and 45 kg of sugar at the rate of Rs. 10 per kg. He mixed both type of sugar and sold the mixture at the rate of Rs. 9.75 per kg. What was his gain or loss in the selling of whole sugar?

A) Rs. 10.75 B) Rs. 11.25
C) Rs. 12 D) Rs. 13.50
 
Answer & Explanation Answer: B) Rs. 11.25

Explanation:

Total quantity of sugar = 45 + 30 = 75

Gain or loss can be calculated as

9.75 x 75 - (30 x 9 + 45 x 10)

= 731.25 - 720

= 11.25

 

Hence, in the overall transaction, Rishi got Rs. 11.25 gain.

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7 4562
Q:

The ratio of milk to water is 5:4. If two litres of water is added, the ratio becomes 10:9, then find the new amount of water in the mixture.

A) 12 litres B) 14 litres
C) 16 litres D) 17 litres
 
Answer & Explanation Answer:

Explanation:

Let initial quantity of milk & water in the mixture are 5x & 4x
2 litres water is added.
Hence,
New quantity of milk & water will be 5x & (4x+2)
ATQ,
5x/(4x+2) = 10/9
x/(4x+2) = 2/9 9x = 8x + 4
x=4
Hence,
New amount of water in the mixture = 4x+2 = (4*4) + 2 = 18 litres.

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Filed Under: Alligation or Mixture
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Q:

Out of 3 girls and 6 boys a group of three members is to be formed in such a way that at least one member is a girl. In how many different ways can it be done?

A) 64 B) 84
C) 56 D) 20
 
Answer & Explanation Answer: A) 64

Explanation:

Total number of possible ways = 9C3 = 84 ways

Required atleast one girl in the group of three = total possible ways - ways in which none is girl

None of the members in the group is girl = 6C3 = 20

 

Therefore, number of ways that at least one member is a girl in the group of three

= 84 - 20

= 64 ways.

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14 4559
Q:

Shamma lends Rs.40,000 to two of her friends. She gives Rs.24,000 to the first at 8% p.a. simple interest. Shamma wants to make a profit of 10% on the whole. The simple interest rate at which she should lend the remaining sum of money to the second friend is:

A) 13% B) 8.5%
C) 9.5% D) 11.25%
 
Answer & Explanation Answer: A) 13%

Explanation:

The ratio of money she lended is

24000 : 16000 = 3 : 2

Let the rate of interest be R%

 

8%                   R%
     

           10

 

3          :           2

 

R = 13%.

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10 4554
Q:

Which one of the following is not a prime number?

A) 91 B) 71
C) 41 D) 31
 
Answer & Explanation Answer: A) 91

Explanation:

Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.

 

It's answer will be 91.

Because 91 can be divisible by 7,13,91,1.

It is quite clear that prime number should be divisible only by itself and by 1.

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