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Quantitative Aptitude Topics, Questions & Answer

Quantitative Aptitude: Quantitative Aptitude is one of the most important sections of the competitive exams which haunts the majority of the candidates as it involves a lot of calculation and complex problems which require good analytical as well as aptitude skills. The weightage of the quantitative aptitude section differs exam wise but if we talk specifically about banking exams like SBI PO, Clerk, IBPS PO, and Clerk then here 35 questions are asked with a sectional time limit of 20 minutes which means that a candidate is having less than a minute to solve the question. To solve the questions in such a less time the candidates are required to have a clarity of concepts as well as the speed. In this article, we have provided below the topics which are asked in the quantitative aptitude along with the questions.

What is Quantitative Aptitude?

Basic quantitative aptitude is a test to judge a person’s mental capacity to solve numerical problems. Any aptitude test is meant to analyze a candidate’s problem-solving skills, thus quantitative aptitude helps in analyzing and rating a candidate’s mathematical ability. Following are the components of quantitative aptitude test in bank exams:

  • Data Analysis and Interpretation
  • Calculation Based- Simplification, Approximation, Number Series
  • Arithmetic Word Problems
  • Inequalities
  • Data Sufficiency

Quantitative Aptitude: Exams In Which It Is Asked

In the table given below we have provided the list of all the exams in which quantitative aptitude is asked

Exams In Which Quantitative Aptitude Is Asked
SBI SO RRB Scale II and III Officer
SSC CPO LIC Assistant
NHB Assistant Manager ESIC UDC
ESIC SSO State Exams

List of Quantitative Aptitude Topics

Data Interpretation and Analysis, Number Series, Arithmetic Word Problems, and Data Sufficiency are some of the important topics in the Quantitative aptitude section. Strategize your preparation with us without proper guidance. It’s tough to prepare for this section. Work smartly choose the topics from which the question is asked maximum and prepare accordingly. Practice with the latest pattern-based questions on and check Previous year questions, with the help of previous year questions you can get an idea about the questions asked in the exam.

Name Of The Topics Asked In the Quantitative Aptitude
Number System Simple Interest & Compound Interest
Average Probability
Age Permutation & Combination
Profit and Loss Partnership
Percentage Mensuration
Ratio & Proportion Boat & Stream
Mixture & Allegation Time & Work
Speed & Distance LCM & HCF
Approximation Data Interpretation

How To Improve Quantitative Aptitude

  • Don’t Fear From Numbers- Numbers and statistics are everywhere around us. From negotiating the worth of a commodity to using data to form future decisions for a few companies, numbers are an inevitable part of our lives. Yet they will become intimidating and daunting for people that aren’t good at it. This fear usually takes root during a person’s psyche in childhood and carries on until he/she decides o figure thereon. The primary step to enhance your quantitative aptitude is to form friends with numbers. This section requires you to be comfortable with numbers and solve the questions including numbers within the shortest time.
  • Accuracy- Since this section requires you to figure with numbers, formulae, and even make calculations, the results will heavily depend upon the method. Accuracy becomes a crucial aspect of solving this section. There is always an opportunity for errors during this section and one error can either cause you to lose out on precious marks or consume tons of some time, both of which may harm your chances of doing well.
  • Practice- There are no better things to improving your chances within the quantitative aptitude section than to practice and solve as many questions of as many sorts as you’ll. It’s only through regular practice that you simply won’t only be ready to familiarise yourself with the type of questions that are likely to come in exam but also gain confidence in your ability to unravel them accurately. Accuracy which is important for this section are often  developed only with practice.
  • Time Allocation- While handling quantitative aptitude section, time allocation is the key to attain well. The time you allot to every question features a pertaining to the amount of questions you manage to finish. Complex questions may require longer while the straightforward ones should be rushed up quickly without compromising on the accuracy.
  • Conceptual Clarity- Mathematics is driven by concepts and to enhance your performance during this section, clarity of concepts is important. People that learn these concepts will feel jittery while doing this section, whereas people that have conceptual understanding will ace through this section. As an example there  is a particular way of doing an issue, which asks to seek out the unknown age of an individual, supported some information. Such questions will prove tough for people that aren’t conscious of the method, the reasoning behind answers to such questions.

How Do You Practice Quantitative Aptitude?

It is important that you clear your basic concepts and approach of formulas and methods to solve questions on various topics of quantitative aptitude. Good calculation speed is also a must as it saves time. Always remember that the test is not about attempting 35 out of 35 in quantitative aptitude, but it is all about attempting the types of questions you are good at in a limited amount of time with maximum accuracy. Method to Solve Quantitative Aptitude Questions
    • Practice all formulas of arithmetic.
    • Learn tricks to do speedy calculations
    • You should practice in such a way that you develop a habit of quickly identifying the types of questions you should attempt and the types of questions you should skip in the exam.

Quantitative Aptitude: Important Topics

 Data Sufficiency

It covers various arithmetic topics and usually a question is followed by two or three statements and candidates have to determine if any of those statements individually or together are required to satisfy the criteria given in the question or not.

Arithmetic Word Problems

This includes word problems based on formulas and calculations on various miscellaneous topics of arithmetic like Profit and Loss, Time, Speed and Distance, Work and Time, Problems on Ages, Average, Percentage, Problem on Trains, Mensuration, Probability, Permutation and Combination, etc.

Data Interpretation and Analysis

This includes different types of Data Interpretations like Tabular DI, Line Graph, Bar Graph, Pie Chart, Radar or Spider Web DI, Caselet, and other miscellaneous Data Interpretations.

Simplification and Approximation

These questions test the calculation speed of a candidate.

Quadratic Equations or Inequalities

This also includes Quantity 1, and Quantity 2-based questions.

Number Series

Wrong number series, missing number series

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Tips to Prepare Quantitative Aptitude

Follow these guidelines to prepare quantitative aptitude for bank exams and other competitive exams:

  • Improve your calculation speed by doing calculations manually, learning tables till 30, square roots and cube roots, this will save your time in the examination.
  • Practice the arithmetic portion thoroughly and learn all important formulas to solve arithmetic word problems.
  • Learn BODMAS and basic mathematical tips for calculation.
  • Read the instructions of every question very carefully.
  • It is important to practice with a time-bound approach as time management is a must for competitive exams.
  • Practice with the latest pattern-based questions on Also check previous years’ papers to get an idea about the level and types of questions in trend.
  • Then start practicing with the mock tests which are designed by our expert faculty, and as well attempt the free quizzes available on our app, which consists of the latest pattern.

Quantitative Aptitude: Practice More

Quantitative ability is one section that requires you to practice a lot because it has lots of formulas and you cannot learn them all until you have applied them in some questions. So make sure that you solve at least 30-40 questions related to one formula for a better understanding of it.

Quantitative Aptitude: Practice With Mock Test & Previous Year Papers

No matter which exam you are preparing for this is a one-stop solution for all your problems and can help you to score a very good score. Take a mock test with full efficiency and then analyze it properly. Analyzing the mock test is even more important than taking a mock test. There is no use if you are taking 5 mocks in a day but is not analyzing even a single properly because you are not learning out of it and hence you are not improving.

SBI Clerk Preparation 2022: Study Plan

Quantitative Aptitude: Question And Answer


Q1. If average of five consecutive odd numbers is 33, then the least odd number is:
(a) 27
(b) 31
(c) 29
(d) 23
(e) 33

Q2. The average weight of boys in a class of total strength 50 is 40 kg while average weight of girls is 35 kg. Find number of girls in class if average weight of class is 38 kg.
(a) 10
(b) 30
(c) 20
(d) 40
(e) 15

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Q3. Three year ago, the average age of five employee of a company was 54 yrs. The present average age is 52 yr after the inclusion of a new employee entered. Find the age of the new employee?
(a) 18 yr
(b) 25 yr
(c) 20 yr
(d) 22 yr
(e) 27 yr

Q4.Average of four numbers is increased by 1 when a number is replaced by x and average of that four number is decreased by 1 when another number is replaced with x. What is the difference of the both numbers?
(a) 6
(b) 8
(c) 16
(d) 4
(e) Cannot be determined

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Ratio & Proportion

Q4. The ratio of milk and water in a vessel is 3: 10. If 10 liter of milk added in it, ratio of milk to water becomes 2 : 5. Find the initial quantity of mixture in the vessel. (in l)
(a) 78
(b) 130
(c) 169
(d) 104
(e) 148

Q5. In a vessel, 120 l mixture of alcohol and water is in the ratio of 5 : 3 respectively. Some water is added to the mixture & ratio of alcohol to water becomes 25 : 21. Find the added quantity of water (in l).
(a) 12
(b) 24
(c) 18
(d) 15
(e) 9

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Q6. A vessel has mixture of milk and water containing 40% milk. If 18 liters more water added in vessel, then quantity of water becomes 75% of mixture. Find the initial quantity of milk in the vessel?
(a) 12 l
(b) 24 l
(c) 18 l
(d) 15 l
(e) 21 l

Q7. Two vessel A and B, which has mixtures of water and milk contains 25% and 50% water respectively. Find in what respective ratio should these mixtures be mixed so that the final mixture contains 60% milk.
(a) 1:1
(b) 5:4
(c) 4:5
(d) 3:2
(e) 2:3

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Time & Work

Q1. P and Q together can complete a work in 24 days, while Q and R working together can complete the same job in 32 days. P and Q start the work and did it for 8 days, after that P left the work and R joined Q and after 12 more days, Q also left the work. Then, the remaining work is completed by R in 28 days. Find in how many days R will complete the work alone?
(a) 96 days
(b) 72 days
(c) 108 days
(d) 90 days
(e) 81 days

Q2. ‘A’ is 40% less efficient than ‘B’ who can do the same work in 20% less time than ‘C’. If A and B together can complete 80% of work in 12 days, then in how many days 60% of work can be completed by B and C together.
(a) 2 days
(b) 4 days
(c) 6 days
(d) 8 days
(e) 10 days

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Candidates can also check a set of mix questions from different topics given below

Directions (1-5): study the given information carefully and answer the questions.
In a company, there are 3 companies laptop provided to its employee i.e. Dell, HP & Lenevo There are total 1000 employees. Some employees use single laptop while some uses more than it. 20 users uses all 3 companies laptop. 150 employees use more than one company’s laptop. 200 employees use only Lenovo’s laptop while 280 use only HP’s laptop. 40% of total employees use HP’s laptop & same no. of employees uses HP & Dell both & HP & Lenovo both.

Q1. How many employees are using both Dell & Lenovo together?
(a) 20
(b) 30
(c) 50
(d) 40
(e) 10

Q2. Employees using only Dell’s laptop are what percent of employees using only Lenovo’s laptop?
(a) 140%
(b) 150%
(c) 175%
(d) 165%
(e) None of these

Q3. What is the ratio of employees using both Dell & Lenovo laptops together to employees using all 3 companies laptops?
(a) 3:2
(b) 2:3
(c) 3:5
(d) 5:3
(e) 5:2

Q4. Employees using Dell are what percent more than employees using Lenovo?
(a) 40%
(b) 85%
(c) 33.33%
(d) 12.5%
(e) 56.67%

Q5. How many employees uses only one company’s laptop?
(a) 860
(b) 870
(c) 850
(d) 830
(e) 840

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Q7. Akshay buys an article and markup it 30 % above its cost price. At the time of sale, he gives 10% discount instead of 15% due to which he earns Rs. 13 more. Find cost price.
(a) Rs. 230
(b) None of these
(c) Rs. 150
(d) Rs. 130
(e) Rs. 200

Q8. Sanjay starts from his home to reach office at uniform speed of 5 kmph. After 20 minutes, Anurag starts cycling at uniform speed of 12 kmph in same direction from same point. At what distance, he will catch Sanjay? (approx)
(a) 7 km
(b) 4 km
(c) 5 km
(d) 2 km
(e) 3 km

Q9. A sum of Rs. P was invested at 10% for 2 years at simple interest. If the same sum was invested at 20% for ‘x’ years, it would have fetched Rs. 200 more. Find ‘x’ if Px = 5000. (value of x is given in months)
(a) 12
(b) 18
(c) 15
(d) Cannot be determined
(e) None of these

Q10. 4 men & 3 children completes a project for Rs. 600 in 3 days. If a man completes same project in 15 days. Find daily wage of a man.
(a) Rs 36
(b) Rs.40
(c) Rs.44
(d) Rs.48
(e) Rs.42

Directions (11-15): What will come in place of question mark (?) in the following questions

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Q13. 3845+4380+2640 – 5965 = (?)²
(a) 75
(b) 60
(c) 80
(d) 70
(e) 72

Q14. 400÷20×35+6666÷33+ ? = 1100
(a) 180
(b) 198
(c) 195
(d) 205
(e) 200

Q15. 28×14.5+1680÷15+445=1000 -?
(a) 27
(b) 37
(c) 47
(d) 50
(e) 40


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FAQs: Quantitative Aptitude

Q.1 What are the topics which we need to study in the quantitative Aptitude?

Ans The topics which you need to study in the quantitative aptitude are average, age, number system, percentage, ratio & proportion, profit & loss, SI & CI, Mixture & Allegation, Speed, time & distance, Boat & streams, etc.

Q.2 What are the tips to solve the topic of Quantitative Aptitude?

Ans Some of the tips to solve the topics of Quantitative Aptitude are given in the article above.

Q.3 What is quantitative aptitude?

Ans. Basic quantitative aptitude is a test to judge a person’s mental capacity to solve numerical problems. Any aptitude test is meant to analyze a candidate’s problem-solving skills, thus quantitative aptitude helps in analyzing and rating a candidate’s mathematical ability.

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