Aptitude and Reasoning Questions

Q:

In a certain code language, "CUTE" is written as "9251" and "REST" is written as "4135". How is "RESCUE" written in that code language?

A) 413921 B) 431291
C) 423911 D) 413912
 
Answer & Explanation Answer: A) 413921

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

0 3064
Q:

Working together A, B and C can complete a task in 12 days. A and B can do the task in 55 days and 66 days respectively if they worked alone. In how many days can C do the task if he worked alone?

A) 22 B) 44
C) 20 D) 40
 
Answer & Explanation Answer: C) 20

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Filed Under: Time and Work
Exam Prep: Bank Exams

0 3062
Q:

Sum of factors of 4b2c2-(b2+c2-a2)2 is 

A) a + b + c B) 2(a + b + c)
C) 0 D) 1
 
Answer & Explanation Answer: B) 2(a + b + c)

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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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Q:

Arun took a loan of Rs. 29000 with simple interest for as many years as the rate of interest. If he paid Rs. 10440 as interest at the end of the loan period, what was the rate of interest?

A) 5.5% B) 6%
C) 6.5% D) 7%
 
Answer & Explanation Answer: B) 6%

Explanation:

Principle amount = Rs. 29000

Interest = Rs. 10440

Let rate of interest = r%

=> So, time = r years

According to the question,

10440 = 29000 x r x r/100

290 x r x r = 10440

r x r = 1044/29 = 36

r = 6

 

Hence, the rate of interest = 6% and time = 6 yrs.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

15 3058
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:

Identify the diagram that best represents the relationship among the given classes.
Singer, Musician, Businessman

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

5 3054
Q:

If Sun : Star then Moon : ____

A) Star B) Planet
C) Comet D) Satellite
 
Answer & Explanation Answer: D) Satellite

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

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