SSC first · CGL and related exams

SSC · Arithmetic practice

Start with free questions. Take a timed mock. Find your weak topics and build a practice session to improve them.

SSC mock testsPrevious-year questionsTest seriesSSC CGL exam guide

Previous-year papers · timed practice

English SSC CGL Tier I papers. Free 60-minute mocks, 100 questions, 200 marks; +2 correct and −0.5 incorrect. Source: SSC response sheets preserved by SSC Portal. The marked archived keys have not been independently revalidated against final SSC keys; worked explanations are pending review. A/B/C/D correspond to source options 1/2/3/4.

Choose your next topic

These topics contain published free SSC questions. Counts reflect the selected language and paper filters. Archived papers show their source and key status above.

Englishहिन्दीAll free questionsBrowse papers by exam and year
English Language

Grammar and Vocabulary

2028 free questions →English Language

SSC PYQ - English Language

469 free questions →English Language

Vocabulary

13736 free questions →General Awareness

Geography

1089 free questions →General Awareness

History and Culture

4350 free questions →General Awareness

Indian Economy

647 free questions →General Awareness

Indian Polity and Governance

2107 free questions →General Awareness

SSC PYQ - General Awareness

343 free questions →General Awareness

Static GK

8057 free questions →Quantitative Aptitude

Algebra

2879 free questions →Quantitative Aptitude

Arithmetic

12630 free questions →Quantitative Aptitude

Averages

1748 free questions →Quantitative Aptitude

Data Interpretation

1225 free questions →Quantitative Aptitude

Interest

3311 free questions →Quantitative Aptitude

Percentage

2781 free questions →Quantitative Aptitude

Profit and Loss

3224 free questions →Quantitative Aptitude

Ratio and Proportion

2202 free questions →Quantitative Aptitude

SSC PYQ - Quantitative Aptitude

295 free questions →Reasoning Ability

Logical Reasoning

19682 free questions →Reasoning Ability

Number Series

10318 free questions →Reasoning Ability

SSC PYQ - Reasoning Ability

356 free questions →

Try a free practice session

No account needed. This session stays in this browser tab; sign in for timed tests, bookmarks and saved performance.

Question 1 · Quantitative Aptitude · Arithmetic
A can complete a piece of work in 15 days and B can complete it in 10 days. Working together, in how many days will they complete the work?
Choose your answer for question 1
Answer and explanation

Correct answer: C

Together per day = 1/15 + 1/10 = 25/150. Time = 150/25 = 6 days.

Question 2 · Quantitative Aptitude · Arithmetic
6 men can build a wall in 10 days. In how many days can 12 men build the same wall?
Choose your answer for question 2
Answer and explanation

Correct answer: D

Man-days = 6×10 = 60; days for 12 men = 60/12 = 5.

Question 3 · Quantitative Aptitude · Arithmetic
A car travels at 90 km/h for 2 hours. How far does it travel?
Choose your answer for question 3
Answer and explanation

Correct answer: C

Distance = speed × time = 90 × 2 = 180 km.

Question 4 · Quantitative Aptitude · Arithmetic
Convert 180 km/h into m/s.
Choose your answer for question 4
Answer and explanation

Correct answer: D

180 × 5/18 = 50 m/s.

Question 5 · Quantitative Aptitude · Arithmetic
A train 240 m long running at 216 km/h crosses a pole. How many seconds does it take?
Choose your answer for question 5
Answer and explanation

Correct answer: B

Speed = 60 m/s; time = 240/60 = 4 s.

Question 6 · Quantitative Aptitude · Arithmetic
A boat's speed in still water is 17 km/h and the stream flows at 6 km/h. What is the downstream speed of the boat?
Choose your answer for question 6
Answer and explanation

Correct answer: C

Downstream = 17 + 6 = 23 km/h.

Question 7 · Quantitative Aptitude · Arithmetic
A boat goes 35 km/h downstream and 5 km/h upstream. What is the speed of the stream?
Choose your answer for question 7
Answer and explanation

Correct answer: A

Stream speed = (35 − 5)/2 = 15 km/h.

Question 8 · Quantitative Aptitude · Arithmetic
In what ratio must a grocer mix two varieties of rice costing ₹26 per kg and ₹58 per kg so that the mixture is worth ₹37 per kg?
Choose your answer for question 8
Answer and explanation

Correct answer: C

By alligation: cheaper : dearer = (58 − 37) : (37 − 26) = 21 : 11 = 21:11.

Question 9 · Quantitative Aptitude · Arithmetic
A father is 5 times as old as his son. The sum of their ages is 48 years. What will be the father's age after 7 years?
Choose your answer for question 9
Answer and explanation

Correct answer: D

Son = 48/6 = 8; father = 40. After 7 years: 47.

Question 10 · Quantitative Aptitude · Arithmetic
The present ages of A and B are 40 years and 12 years. What will be the sum of their ages after 7 years?
Choose your answer for question 10
Answer and explanation

Correct answer: D

Sum now = 52; after 7 years each gains 7, so sum = 52 + 2×7 = 66.

Question 11 · Quantitative Aptitude · Arithmetic
Find the LCM of 12, 6 and 47.
Choose your answer for question 11
Answer and explanation

Correct answer: D

Taking prime factorisations, LCM(12, 6, 47) = 564.

Question 12 · Quantitative Aptitude · Arithmetic
Find the HCF of 81, 108 and 54.
Choose your answer for question 12
Answer and explanation

Correct answer: D

Common prime factors give HCF(81, 108, 54) = 27.

Question 13 · Quantitative Aptitude · Arithmetic
The HCF and LCM of two numbers are 1 and 174. If one number is 6, what is the other number?
Choose your answer for question 13
Answer and explanation

Correct answer: D

Product of two numbers = HCF × LCM → other = 1×174/6 = 29.

Question 14 · Quantitative Aptitude · Arithmetic
What is the remainder when 289 is divided by 15?
Choose your answer for question 14
Answer and explanation

Correct answer: C

289 = 15 × 19 + 4, so the remainder is 4.

Question 15 · Quantitative Aptitude · Arithmetic
What is the unit digit of 5^9?
Choose your answer for question 15
Answer and explanation

Correct answer: D

Powers of 5 repeat their unit digits in a cycle; 5^9 ends in 5.

Question 16 · Quantitative Aptitude · Arithmetic
Simplify: 24 + 2 × 5 − 3
Choose your answer for question 16
Answer and explanation

Correct answer: C

By BODMAS: 2×5 = 10; 24 + 10 − 3 = 31.

Question 17 · Quantitative Aptitude · Arithmetic
What is the value of √9 + 3²?
Choose your answer for question 17
Answer and explanation

Correct answer: C

√9 = 3; 3² = 9; sum = 12.

Question 18 · Quantitative Aptitude · Arithmetic
What is the cube root of 1728?
Choose your answer for question 18
Answer and explanation

Correct answer: A

12³ = 1728, so ∛1728 = 12.

Question 19 · Quantitative Aptitude · Arithmetic
What is the sum of the first 31 natural numbers?
Choose your answer for question 19
Answer and explanation

Correct answer: A

Sum = n(n+1)/2 = 31×32/2 = 496.

Question 20 · Quantitative Aptitude · Arithmetic
What is the sum of the first 32 odd natural numbers?
Choose your answer for question 20
Answer and explanation

Correct answer: B

Sum of first n odd numbers = n² = 1024.

Answer the 20 questions, then check your score.

Take a timed topic mastery test