With the AFCAT exam just around the corner, we’re excited to share a collection of 26 solved numerical ability questions taken from recent AFCAT papers. These examples mirror the style and difficulty level you can expect in the upcoming AFCAT 2025-2026 exams. In the exam, you might encounter between 12 to 18 numerical ability questions, and mastering them could secure you an impressive 36 to 54 marks.
If you find these solved questions useful for your AFCAT preparation, please leave a comment below—we love hearing your feedback! Also, feel free to share this resource with fellow aspirants who are gearing up for the AFCAT exam.
AFCAT Numerical Ability Syllabus Topics Covered
- Decimal Fractions
- Time and Work
- Average
- Profit & Loss
- Percentage
- Ratio & Proportion
- Simple Interest
- Time & Distance (including scenarios with trains, boats, and streams)
Dive in, practice thoroughly, and boost your confidence for the exam!
The students in three classes are in each class in the ratio 2 : 3 : 5. If 40 students have increased in each class the ratio change to 4 : 5 : 7. Originally the total number of student was
(a) 100 (b) 180 (c) 200 (d) 400
The ratio of incomes of two persons is 5 : 3 and that of their expenditure is 9 : 5. The income of each person if they save Rs 1300 and Rs 900 respectively, is
(a) Rs 4000, Rs 2400 (b) Rs 3000, Rs 1800 (c) Rs 5000, Rs 3000 (d) Rs 4500, Rs 2700
How much quantity of water must be added to 48 mL of alcohol to make a solution that contains 25% alcohol?
(a) 48 mL (b) 64 mL (c) 144 mL (d) 192 mL
Dilip, Ram, and Amar started a shop by investing Rs 2700, Rs 8100 and Rs 7200 respectively. At the end of 1 yr, the profit was distributed. If Ram’s share was Rs 3600, their total profit was
(a) Rs 10800 (b) Rs 11600
(c) Rs 8000 (d) None of these
Find the largest number which when subtracted from 10000, the remainder is divisible by 32, 36, 48 and 50.
(a) 8272 (b) 7408 (c) 9136 (d) 8674
A shopkeeper offers his customers 10% discount and still makes a profit of 26%. What is the actual cost to him of an article marked Rs 280?
(a) Rs 175 (b) Rs 200 (c) Rs 225 (d) Rs 215
A 150 m long train crosses a mile-stone in 15 s and a train of same length coming from opposite direction in 12 s. The speed of other train is
(a) 36 km/h (b) 54 km/h (c) 50 km/h (d) 45 km/h
A tree increases annually by 1/8th of its height. By how much will it increase after 2 1/2 yr if it stands today 8 m high?
(a) 10.75 m (b) 15.60 m (c) 11.85 m (d) 12.25 m
The difference between 63% of a number and 45% of the same number is 342. What is 78% of that number?
(a) 1342 (b) 1482 (c) 1558 (d) 1670
What would be the compound interest obtained on an amount of Rs4000 at the rate of 5% per annum after 3 yr?
(a) Rs 612 (b) Rs 578 (c) Rs 525.5 (d) Rs 630.5
What is the least number to be added to 7700 to make it a perfect square?
(a) 131 (b) 121
(c) 77 (d) None of these
The average age of a man and his son is 40 yr. The ratio of their ages is 7 : 3, respectively. What is the man’s age?
(a) 70 yr (b) 63 yr
(c) 56 yr (d) 49 yr
A canteen requires 28 dozen bananas for a week. How many dozen bananas will it require for 47 days?
(a) 2256 (b) 322
(c) 196 (d) None of these
A and B can do a piece of work in 72 days, B and C in 120 days and A and C in 90 days. In what time can A alone do it?
(a) 90 days (b) 120 days
(c) 150 days (d) 180 days
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