CA Foundation Quantitative Aptitude RTP January 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. If a : b = 3: 4, the value of (2a+3b) : (3a+4b) is
2. Two alloys contain silver and copper in the ratio of 3:1 and 5:3. In what ratio the two alloys should be added together to get a new alloy having…
3. If log x √2 = 1 / 15 , then value of x is
4. If α β be the roots of the equation 2x 2 – 4x − 3 = 0, the value of α 2 + β 2 is
5. Mr. A plans to invest upto ₹ 30,000 in two stocks X and Y. Stock X(x) is priced at ₹ 175 and Stock Y(y) at ₹ 95 per share. This can be shown by
6. The difference between Compound Interest and Simple Interest on a certain sum for 2 years at 6% p.a. is ₹ 13.50. Find the sum
7. The effective rate of interest corresponding to a nominal rate 3% p.a. payable half yearly is
8. Every two person shakes hands with each other in a party and the total number of hand shakes is 66. The number of guests in the party is
9. The ways of selecting 4 letters from the word EXAMINATION is
10. A box contains 7 red, 6 white and 4 blue balls. How many selections of two balls can be made so that none is red?
11. Find the sum of 10 terms G.P with first term and common ratio being 8 and 3 respectively?
12. The sum of progression (a+b), a, (a−b)........n term is
13. Given A = {2, 3}, B = {4, 5}, C = {5, 6} then A × (B∩C) is
14. Find the f o g for the functions f (x) =x 2 , g (x) = x+ 1
15. lim x→t x 3 - t 3 / x 2 -t 2 is evaluated to be
16. lim x→2 2x 2 -7x+6 / 5x 2 -11x+2 is equal to
17. ∫ 0 2 3x 2 dx is
18. The derivative of 8x 2 -2x+ 5 w.r.t. x is
19. The entire upper part of a table is known as
20. A Qualitative characteristic is known as
21. If each item is reduced by 12, A.M. is
22. An Ogive can be prepared in ________ different ways.
23. The median of 27,30,26,44,42,51,37 is
24. If the relationship between x and y is given by 4x− 6y =13 and if the median of x is 16. Find median of y.
25. If r = 0.8, then coefficient of determination .................shall be
26. If 2x + 5y – 9 = 0 and 3x − y − 5 = 0 are two regression equation, then find the value of mean of x and mean of y.
27. When r = 0 then Cov(x,y) is equal to
28. The two lines of regression become identical when
29. For a (m×n) classification of bivariate data, the maximum number of conditional distributions is
30. Circular test is satisfied by which index number?