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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is

A) 18% B) 20%
C) 22% D) 24%
 
Answer & Explanation Answer: B) 20%

Explanation:

Let the cost price = Rs 100
then, Marked price = Rs 135

Required gain = 8%,
So Selling price = Rs 108
Discount = 135 - 108 = 27

Discount% = (27/135)*100 = 20%

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Filed Under: Profit and Loss

29 16043
Q:

The banker's discount of a certain sum of money is Rs. 72 and the true discount on the

same sum for the same time is Rs. 60. The sum due is:

A) 290 B) 480
C) 360 D) 420
 
Answer & Explanation Answer: C) 360

Explanation:

Sum =(B.D. x T.D.)/(B.D. - T.D.)

       = Rs. (72 x 60) / (72 - 60)

       = Rs. (72 x 60) /12

       = Rs. 360.

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Filed Under: Banker's Discount

1 16021
Q:

In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ?

A) 24 lit B) 16 lit
C) 32 lit D) 8 lit
 
Answer & Explanation Answer: C) 32 lit

Explanation:

Given mixture = 48 lit

Milk in it = 48 x 5/8 = 30 lit

=> Water in it = 48 - 30 = 18 lit

Let 'L' lit of water is added to make the ratio as 3:5

=> 30/(18+L) = 3/5

=> 150 = 54 + 3L

=> L = 32 lit.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

36 16012
Q:

The year next to 2003 will have the same calendar as that of the year 2003?

A) 2024 B) 2014
C) 2009 D) 2020
 
Answer & Explanation Answer: B) 2014

Explanation:

Given year 2003, when divided by 4 leaves a remainder of 3.

NOTE: When remainder is 3, 11 is added to the given year to get the result.

So, 2003 + 11 = 2014

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Filed Under: Calendar

36 15995
Q:

There are 5 novels and 4 biographies. In how many ways can 4 novels and 2 biographies can be arranged on a shelf ?

A) 26100 B) 21600
C) 24000 D) 36000
 
Answer & Explanation Answer: B) 21600

Explanation:

4 novels can be selected out of 5 in 5C4 ways.

2 biographies can be selected out of 4 in 4C2 ways.

Number of ways of arranging novels and biographies = 5C4*4C2  = 30

After selecting any 6 books (4 novels and 2 biographies) in one of the 30 ways, they can be arranged on the shelf in 6! = 720 ways.

By the Counting Principle, the total number of arrangements = 30 x 720 = 21600

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Filed Under: Permutations and Combinations

7 15969
Q:

What will be the compound interest on a sum of Rs.25,000 after 3 years at the rate of 12 p.c.p.a?

A) Rs.10123.20 B) Rs.12100
C) Rs.12552 D) Rs.12665
 
Answer & Explanation Answer: A) Rs.10123.20

Explanation:

Amount

= Rs.(25000x(1+12/100)³

= Rs.(25000x28/25x28/25x28/25)

= Rs. 35123.20.

 

C.I = Rs(35123.20 -25000)

= Rs.10123.20

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Filed Under: Compound Interest
Exam Prep: GRE

17 15920
Q:

A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13 12 . The rate of interest obtained is:

A) 13% B) 12
C) 15% D) 16%
 
Answer & Explanation Answer: C) 15%

Explanation:

Investment = Rs. [20 x (50 - 5)] = Rs. 900. 

 

Face value = Rs. (50 x 20) = Rs. 1000.

 

Dividend   = Rs.272*1000100=Rs.135 

 

Interest obtained = 135900*100 % = 15%

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Filed Under: Stocks and Shares

3 15914
Q:

 What is the greatest of 3 consecutive integers whose sum is 24 ?

A) 6 B) 7
C) 8 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:

The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3

If the sum is 24, we need to solve the equation 3n + 3 = 24;

=> 3n = 21;

=> n = 7

The greatest of the three numbers is therefore 7 + 2 = 9

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Filed Under: Numbers
Exam Prep: GRE

33 15911