Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 60% of a number is added to 60, then the result is equal to the number itself. What is the number?

 

A) 150   B) 120  
C) 100   D) 180  
 
Answer & Explanation Answer: A) 150  

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

4 65977
Q:

A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included ?

A) 196 B) 186
C) 190 D) 200
 
Answer & Explanation Answer: B) 186

Explanation:

When at least 2 women are included.

 

The committee may consist of 3 women, 2 men : It can be done in  4C3*6C2  ways

 

or, 4 women, 1 man : It can be done in  4C4*6C1ways

 

or, 2 women, 3 men : It can be done in 4C2*6C3 ways.

 

Total number of ways of forming the committees

 

4C2*6C3+4C3*6C2+4C4*6C1

 

= 6 x 20 + 4 x 15 + 1x 6

 

= 120 + 60 + 6 =186

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88 65970
Q:

What will be the compound interest earned on an amount of Rs. 5000 in 2 years?

I. The simple interest on the same amount at the same rate of interest in 5 years is Rs.2000.

II. The compound interest and the simple interest earned in one year is the same.

III. The amount becomed more than double on compound interest in 10 years.

A) I only B) .I and II only
C) II and III only D) I and III only
 
Answer & Explanation Answer:

Explanation:
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0 65910
Q:

Relation Between Efficiency and Time

A is twice as good a workman as B and is therefore able to finish a piece of work in 30 days less than B.In how many days they can complee the whole work; working together?

Answer

Ratio of times taken by A and B = 1 : 2.


The time difference is (2 - 1) 1 day while B take 2 days and A takes 1 day.


If difference of time is 1 day, B takes 2 days.


If difference of time is 30 days, B takes 2 x 30 = 60 days.


So, A takes 30 days to do the work.


 


A's 1 day's work = 1/30


B's 1 day's work = 1/60


(A + B)'s 1 day's work = 1/30 + 1/60 = 1/20


A and B together can do the work in 20 days.

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Subject: Time and Work

255 65830
Q:

Read the data given below and answer the questions based on it.

 

In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social studies, 24% in Biology and English, 35% in English and social studies, 27% in Biology and social studies and 5% in none.

 

What is the ratio of percentage of students who passed in Biology and Social Studies but not English in relation to the percentage of students who passed in Social Studies and English but not Biology?

A) 5:7 B) 7:5
C) 4:5 D) 5:4
 
Answer & Explanation Answer: A) 5:7

Explanation:
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Q:

405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child recieve ?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: A) 9

Explanation:

Let the total number of children be x. 

Then, x * (20% of x) = 405  

=> x * 20x/100 = 405 

15x2 = 405 

 

=> x=45 

 

Number of sweets received by each child = 20% of 45 = 9.

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294 65640
Q:

Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together ?

A) 100/11 min past 8 B) 120/11 min past 8
C) 90/11 min past 8 D) 80/11 min past 8
 
Answer & Explanation Answer: B) 120/11 min past 8

Explanation:

In this type of problems the formulae is 5x-30×1211
x is replaced by the first interval of given time Here i.e 8
5*8-30*1211
12011min

Therefore the hands will be in the same straight line but not
together at 12011 min.past 8.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

102 65418
Q:

n is an integer chosen at random from the set

{5, 7, 9, 11 }

p is chosen at random from the set

{2, 6, 10, 14, 18}

What is the probability that n + p = 23 ?

A) 0.1 B) 0.2
C) 0.25 D) 0.3
 
Answer & Explanation Answer: A) 0.1

Explanation:

Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs.

Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14)

This means that the probability of getting a sum of 23 is 2/20 = 1/10

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