SSC CGL Arithmetic Questions PDF, Free Download, Topic Tests

Let’s be honest, the math section is the biggest time-taker in the SSC CGL exam. Out of all the math chapters, Arithmetic is the real king because you will see around 11 to 13 questions from it alone in your Tier 1 paper. A lot of students make the mistake of ignoring everyday topics like profit and loss, percentages, and simple interest until the SSC CGL Notification is finally out. By then, there is barely enough time to build up the calculation speed you actually need. Since these questions can eat up a lot of your clock during the exam, the only way to get faster and score higher is by practicing each topic separately. To make your life easier, we have collected all the important arithmetic questions chapter-wise in a free PDF. You can download it right here and start boosting your speed today!

Topic-wise Preparation for SSC CGL Arithmetic, With Basic Concepts

As we know, arithmetic consists of many topics, and if you want to score good marks in arithmetic, then you should study and practice questions of each section individually. Below, we have provided the basic concept and direct links to the SSC CGL arithmetic topic blogs.

SSC CGL Arithmetic Questions: Time and Work

Time is a concept that deals with the time taken by a person or a group of people to complete a work or a piece of work and the efficiency of an individual or a group.

Work is defined as a task that is to be completed by a person or a group to achieve a goal or result.

SSC CGL Arithmetic Questions: Speed, Time, and Distance

Time, Speed & Distance are the mathematical concepts that are used in calculating rates and distances. These concepts mainly cover the areas related to motion in a straight line, circular motion, clocks, boats and streams, etc.

Relationship Between Time, Speed & Distance (Formulas)

It is mandatory to know the relationship between Time, Speed & Distance.

1. Distance=Speed X Time
2. Speed=Distance/Time
3. Time=Distance/Speed

SSC CGL Arithmetic Questions: Simple and Compound Interest

Interest: It is the amount to be paid on the borrowed money or the return earned on an investment.

Simple Interest

Simple Interest can be defined as it is the amount that is calculated on the principal amount or the initial sum of money.

Simple Interest Formula:

SI=(P x R x T)/100

• SI – Simple Interest
• P – Principal Amount (The amount borrowed or invested)
• R – Rate of Interest (in %) (Rate of Interest at which the principal amount is invested or borrowed for a period of time)
• T – Time period for which money is borrowed (no. of years)

Compound Interest

Compound Interest is a type of interest in which interest is earned on the principal amount and the accumulated interest from previous interest.

Compound Interest Formula:

Compound Interest= P(1+R/100)^T-P where,

• A = P (1 + R/100)t
• A = Total amount to the paid
• P = Principal Amount
• R = Rate of Interest
• t = Time period for which money is borrowed.

SSC CGL Arithmetic Questions: Profit and Loss

Profit: Profit can be defined as it is the amount that is gained by selling a product at a price greater than its purchased price.

Loss: Loss can be defined as it is the amount lost by selling a product for less than its purchased price.
Cost Price: It is the amount that is paid to purchase a product.
Selling Price: It is the amount for which the product is sold.

Important Formulas:

• Profit or Gain= Selling Price – Cost Price
• Loss = Cost Price – Selling Price
• Profit percentage (P%) = (Profit /Cost Price) x 100
• Loss percentage (L%) = (Loss / Cost price) x 100
• Selling Price = {(100 + Profit%)/100} x Cost Price
• Selling Price = {(100 – Loss%)/100} x Cost Price
• Cost Price = {100/(100 + Profit%)} x Selling Price
• Cost Price = {100/(100 – Loss%)} x Selling Price
• Discount = Marked Price – Selling Price
• Selling Price = Marked Price -Discount

SSC CGL Arithmetic Questions: Percentage

Percentage: It can be defined as it is a mathematical concept in which a number or ratio is expressed as a fraction of 100.

Symbol for Percentage:- %

Some Important Formulas:

1. Percentage=(Value/Total Value) x 100
2. Percentage Increase = (Increase value – Original value / Average) × 100
3. Percentage Decrease = (Original value – Decrease value / Average) × 100

SSC CGL Arithmetic Questions: Mixture and Alligation

• Mixture: A mixture problem typically involves two or more quantities mixed, and we want to determine the resulting concentration, quantity, or cost.
• Example: Imagine mixing two types of rice, one costing $5 per kg and the other $10 per kg. The mixture’s cost depends on the ratio in which we mix them.
• Alligation: Alligation is a specific rule used to solve mixture problems, beneficial when we mix two things with known quantities or costs to achieve a certain concentration or average cost.
• Alligation Method: The method uses a cross formula to find the mixing ratio between two items.

SSC CGL Arithmetic Questions and Answers for Practice

Here we have provided the SSC CGL Arithmetic Questions for Practice. Solve these questions and start your preparation for the exam.

SSC CGL Arithmetic Question 1:

The average of five consecutive even numbers is M. If the next five even numbers are also included, the average of ten numbers will be:

(a) M + 5
(b) 11
(c) M + 10
(d) 10

SSC CGL Arithmetic Question 2:

If 2x + 1, x + 2, 2 and 5 are in proportion, then what is the mean proportional between 3.5(1 – x) and 8(1 + x)?

(a) 4.25
(b) 4.5
(c) 5.5
(d) 5.25

SSC CGL Arithmetic Question 3:

Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6th number. If their average is 136, then the 6th number is:

(a) 102
(b) 84
(c) 96
(d) 116

SSC CGL Arithmetic Question 4:

If x is the mean proportional between 12.8 and 64.8 and y is the third proportional to 38.4 and 57.6, then 2x : y is

(a) 4 : 5
(b) 3 : 4
(c) 2 : 3
(d) 1 : 2

SSC CGL Arithmetic Question 5:

Two numbers are in the ratio 5 : 7. If the first number is 20, then the second number will be:

(a) 22
(b) 18
(c) 28
(d) 8

SSC CGL Arithmetic Question 6:

The average weight of students in a class is 58.4 kg. When 5 students with average weight 62.8 kg join, the average increases by 0.55 kg. How many students were initially in the class?

(a) 30
(b) 35
(c) 25
(d) 40

SSC CGL Arithmetic Question 7:

The average of the first four numbers is three times the fifth number. If the average of all five numbers is 85.8, then the fifth number is:

(a) 29
(b) 33
(c) 39
(d) 34

SSC CGL Arithmetic Question 8:

A sum of Rs.x was divided between A, B, C, and D in the ratio 30:18:15:10. If the difference between the shares of B and D is Rs.832, then the value of x is:

(a) Rs.7,384
(b) Rs.7,488
(c) Rs.7,696
(d) Rs.7,592

SSC CGL Arithmetic Question 9:

The ratio of boys and girls in a group is 7 : 6. If 4 boys join and 3 girls leave, the new ratio becomes 4 : 3. What was the initial total number of students?

(a) 117
(b) 78
(c) 91
(d) 104

SSC CGL Arithmetic Question 10:

The income of A is 60% less than B’s, and A’s expenditure is 60% of B’s. If A’s income is 70% of B’s expenditure, what is the ratio of their savings?

(a) 3 : 8
(b) 5 : 9
(c) 4 : 7
(d) 2 : 15

SSC CGL Arithmetic Question 11:

A sum of Rs. 4300 becomes Rs. 4644 in 2 years at simple interest. What principal will amount to Rs. 10104 in 5 years at the same rate?

(a) Rs. 9260
(b) Rs. 7200
(c) Rs. 5710
(d) Rs. 8420

SSC CGL Arithmetic Question 12:

The compound interest on a certain sum at 10% p.a. for 2 years is Rs.1201.60. What is the sum?

(a) Rs.4500
(b) Rs.4800
(c) Rs.4200
(d) Rs.5400

SSC CGL Arithmetic Question 13:

The simple interest on a sum for 3 years at 5% p.a. is Rs.1200. Find the compound interest on the same sum and same rate.

(a) Rs.1800
(b) Rs.1260
(c) Rs.820
(d) Rs.1261

SSC CGL Arithmetic Question 14:

What is the compound interest on Rs.12,000 for 2 years at 8% p.a., compounded annually? (nearest to a rupee)

(a) Rs.2642
(b) Rs.2712
(c) Rs.2654
(d) Rs.2697

SSC CGL Arithmetic Question 15:

If 12x² – 21x + 1 = 0, then what is the value of 9x² + (1 / 16x²)?

(a) 89
(b) 90
(c) 91
(d) 92

SSC CGL Arithmetic Question 16:

If x – y = 4 and xy = 45, find the value of x³ – y³

(a) 82
(b) 151
(c) 604
(d) 822

SSC CGL Arithmetic Question 17:

If x² + 3x + 1 = 0, find x⁶ + 1/x⁶

(a) 322
(b) 324
(c) 327
(d) 318

SSC CGL Arithmetic Question 18:

The expression (a + b – c)³ + (a – b + c)³ – 8a³ is equal to:

(a) 6a(a – b + c)(c – a – b)
(b) 3a(a + b – c)(a – b + c)
(c) 6a(a + b – c)(a – b + c)
(d) 3a(a – b + c)(c – a – b)

SSC CGL Arithmetic Question 19:

If x + y + z = 3 and x² + y² + z² = 101, find x³ + y³ + z³ – 3xyz

(a) 21
(b) 19
(c) 28
(d) 24

SSC CGL Arithmetic Question 20:

If a + b + c = 11, ab + bc + ca = 3 and abc = –135, then a³ + b³ + c³ = ?

(a) 925
(b) 965
(c) 973
(d) 1001

SSC CGL Arithmetic Question 21:

The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14 : 9.

(a) 25
(b) 30
(c) 20
(d) 15

SSC CGL Arithmetic Question 22:

If x is the mean proportional between 12.8 and 64.8 and y is the third proportional to 38.4 and 57.6, then 2x : y is

(a) 4 : 5
(b) 3 : 4
(c) 2 : 3
(d) 1 : 2

SSC CGL Arithmetic Question 23:

Two numbers are ill the ratio 5 : 7. If the first number is 20, then the second number will be:

(a) 22
(b) 18
(c) 28
(d) 8

SSC CGL Arithmetic Question 24:

The income of A is 60% less than that of B, and the expenditure of A is equal to 60% of B’s expenditure. If A’s income is equal to 70% of B’s expenditure, then what is the ratio of the savings of A and B?

(a) 3 : 8
(b) 5 : 9
(c) 4 : 7
(d) 2 : 15

SSC CGL Arithmetic Question 25:

The average of 24 numbers is 56. First 10 numbers average 71.7, next 11 average 42. If last 3 are in ratio 6:4:5, what is the average of 22nd and 24th numbers?

(a) 49.5
(b) 58
(c) 55
(d) 60.5

Answers to the Above Questions:

Q1 – (a)	Q2 – (d)	Q3 – (a)	Q4 – (c)	Q5 – (c)
Q6 – (b)	Q7 – (b)	Q8 – (d)	Q9 – (d)	Q10 – (d)
Q11 – (d)	Q12 – (b)	Q13 – (d)	Q14 – (d)	Q15 – (b)
Q16 – (c)	Q17 – (a)	Q18 – (a)	Q19 – (a)	Q20 – (a)
Q21 – (c)	Q22 – (c)	Q23 – (c)	Q24 – (d)	Q25 – (d)

How to Prepare Arithmetic Questions for SSC CGL?

Below we have provided the tips on how to prepare arithmetic questions for SSC CGL exam.

• Know the Syllabus: Arithmetic is not a small topic; it consists of many topics such as number system, LCM & HCF, simplification, ratio and proportion, percentage, profit and loss, etc. Preparation of each topic individually is very important.
• Practice Questions: You are advised that whenever you study any topic, make sure you are practicing the questions of that topic from the easy to the advanced level.
• Create a Study Plan: Make a daily routine in a way that you need to study on a particular day, and set many questions you need to solve on a particular day. This will enable you to study arithmetic systematically.
• Learn, Shortcut, and Tricks: Most questions can be solved just by using shortcuts and tricks. Create a formula sheet so that you can use it for revision purposes. Learn Vedic maths tricks, short multiplication/division methods, and percentage to fraction conversions.
• Practice, Analyze, and Revise: Start with topic-wise practice, then move to the sectional tests, and attempt full-length mocks. Keep revising the formulas, shortcuts, and tricks. After practicing Arithmetic questions topic-wise, candidates should attempt the SSC CGL Mock Test to check their complete Quantitative Aptitude preparation, improve calculation speed, and build exam-level accuracy.

Disclaimer: The arithmetic questions, explanations, and practice resources provided here are for guidance only. They are illustrative, not official SSC CGL exam content. Actual exam questions may differ in wording, format, or difficulty. Candidates should always consult official SSC notices for authentic and updated information.

Candidates preparing for the Quantitative Aptitude section should also regularly practice with the SSC CGL Previous Year Question Paper to understand the latest question trends, difficulty level, and important arithmetic topics asked in Tier 1 and Tier 2 exams.

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