Aptitude and Reasoning Questions

Q:

A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit percent?

A) 20 B) 30
C) 35 D) 40
 
Answer & Explanation Answer: A) 20

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

In a certain code language, "PAGE" is written as "QCJI". How is "CALL"written in that code language?

A) DCOP B) DCOQ
C) DDOP D) DCOR
 
Answer & Explanation Answer: A) DCOP

Explanation:
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Filed Under: Coding and Decoding

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Q:

P can do (1/4)th of work in 10 days, Q can do 40% of work in 40 days and R can do (1/3)rd of work in 13 days. Who will complete the work first?

A) P B) Q
C) R D) Both P and R
 
Answer & Explanation Answer: C) R

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Which of the following is true ?

A) A is brother of F. B) A is sister of F.
C) D has two grandsons. D) None of these.
 
Answer & Explanation Answer: D) None of these.

Explanation:

The sex of A is not known. So. neither (a) nor (b) is definitely true. Clearly, D is the grandmother of A and F. 

 

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Filed Under: Blood Relations

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Q:

If the price of kerosene be raised by 11%, find by how much percent a house holder must reduce his consumption of kerosene so as not to increase his expenditure?

A) 11% B) 9.09%
C) 11.09% D) 8.25%
 
Answer & Explanation Answer: B) 9.09%

Explanation:

Let the price of kerosene be x and household
consumption be y.
Expenditure = xy
New cost of kerosene = 1.1x, let new household
consumption be z.
In order to not to increase expenditure,
xy = 1.1x * a
⇒ a= 10y/ 11
⇒ consumption should decrease by = 1/11 X 100 = 9.09%

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If 9 * 6 = 45, 7 * 4 = 33, and 6 * 4 = 20, then what is the value of 5 * 3?

A) 24 B) 16
C) 13 D) 10
 
Answer & Explanation Answer: A) 24

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If cosec 135° = x, then the value of x is

A) √2 B) 2
C) -√2 D) 1/√3
 
Answer & Explanation Answer: A) √2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the sum of all 3 digits number that can be formed using digits 0,1,2,3,4,5 with no repitition ?

A) 28450 B) 26340
C) 32640 D) 36450
 
Answer & Explanation Answer: C) 32640

Explanation:

We know that zero can't be in hundreds place. But let's assume that our number could start with zero.

 

The formula to find sum of all numbers in a permutation is

 

111 x no of ways numbers can be formed for a number at given position x sum of all given digits

 

No of 1 s depends on number of digits

 

So,the answer us

 

111 x 20 x (0+1+2+3+4+5) = 33300

 

We got 20 as follows. If we have 0 in units place we can form a number in 4*5 ways. This is for all numbers. So we have substituted 20 in formula.

 

Now, this is not the final answer because we have included 0 in hundreds place. so we have to remove the sum of all numbers that starts with 0.

 

This is nothing but the sum of all 2 digits numbers formed by 1 2 3 4 5. Because 0 at first place makes it a 2 digit number.

 

So the sum for this is 11 x 4 x (1+2+3+4+5).
=660

 

Hope u understood why we use 4. Each number can be formed in 4x1 ways

 

So, the final answer is 33300-660 = 32640

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

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