CA Foundation Quantitative Aptitude RTP May 2026: Question Paper and Solutions

How to Prepare for CA Foundation Quantitative Aptitude

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Question directory and available solutions

30 indexed questions. Open a question to read its full statement and available answer.

1. 4 tables and 3 chairs together cost ₹ 2,250 and 3 tables and 4 chairs cost ₹ 1950. Find the cost of 2 chairs and 1 table.
2. One root of the equation: x 2 – 2(5 + m) + 3(7 + m) = 0 is reciprocal of the other. Find the value of m.
3. Sangeeta leaves from her home. She first walk 30 metres in North-West direction, and then 30m in South-West direction, next she walks 30 metres in…
4. If a simple interest on a sum of money at 6% p.a. for 7 years is equal to twice of simple interest on another sum for 9 years at 5% p.a. The ratio…
5. The Scrap value of machine valued at ₹ 10,00,000 after 15 years of depreciation is 10% per annum.
6. If the difference between the compound interest compounded annually and simple interest on a certain amount at 10% per annum for two years is ₹ 372,…
7. Find the present value of an annuity of ₹ 1,000 payable at the end of each year for 10 years. If rate of interest is 6% compounding per annum.…
8. What will be the population after 3 years, when present population is 1,00,000 and the population increases at 3% in year 1st year, at 4% in second…
9. Find the present value of an annuity which pays 200 at the end of each 3 months for 10 years assuming money to be worth 5% converted quarterly?
10. The value of furniture depreciates by 10% a year, if the present value of the furniture in an office is ₹ 21870, calculate the value of furniture 3…
11. The letters of the word VIOLENT are arranged so that the vowels occupy even place only. The number of permutations is:
12. If the pth term of an A.P. is 'q' and the qth term is 'p', then its rth term is:
13. Find the sum of all natural numbers between 250 and 1,000 which are exactly divisible by 3:
14. Let R is the set of real numbers, such that the function f: R → R and g: R → R are defined by f(x) = x 2 + 3x + 1 and g(x) = 2x – 3.…
15. Find the positive value of k for which the equations: x 2 + kx + 64 = 0 and x 2 - 8x + k = 0 will have real roots:
16. Praveen is facing west. He turns 45° in the clockwise direction and then again another turns with 180° in the same direction i.e. clockwise…
17. If log 4 (x 2 + x) – log 4 (x + 1) = 2 then the value of x is
18. If HEALTH is written as GSKZDG, then how will NORTH be written in that code?
19. In a certain code, TEACHER is written as VGCEJGT. How is CHILDREN written in that code?
20. The covariance between two variables X and Y is 8.4 and their variances are 25 and 36 respectively. Calculate Karl Pearson's coefficient of…
21. If two variables x and y are related by 2X + 3Y − 7 = 0 and the mean and mean deviation about mean of X are 1 and 0.3 respectively, then the…
22. The mean salary for a group of 40 female workers is ₹ 5200 per month and that for a group of 60 male workers is ₹ 6800 per month. What is the…
23. The average age of 15 students is 15 years. Out of these the average age of 5 students is 14 years and that of other 9 students is 16 years, then…
24. The standard deviation of 25, 32, 43, 53, 62, 59, 48, 31, 24, 33 is
25. If the range of x is 2, what would be the range of – 3x + 50?
26. The Standard deviation is independent of change of
27. In ______ distribution, mean = variance.
28. The pair of averages whose value can be determined graphically.
29. The tests of shifting bases are called ________.
30. Purchasing power of money is stated as ______ price index?