CA Foundation Quantitative Aptitude RTP September 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 2 n-1 +2 n+1 = 320, then n value is equals
2. What is the value of P+Q / P-Q if P / Q = 7?
3. If log 4 (x 2 +x)- log 4 (x 2 +1) = 2, then the value of x is:
4. If a certain sum of money is double in 8 years at a given simple interest in how many years will it be four times?
5. The average salary of the whole employees in a company is ₹ 400 per day. The average salary of officers is ₹ 800 per day and that of clerks is ₹ 320…
6. If two dice are thrown then what is the probability that the sum of the faces of dice are square or cube number?
7. An examination paper consists of 12 questions divided into two parts A and B. Part A contains 7 questions and Part B contains 5 questions. A…
8. The sum of terms of an infinite GP is 15. And the sum of the squares of the term is 45. Find the common ratio
9. If A = {1,2,3,4} B = {2,4,6,8} F(1) = 2, f(2) = 4, f(3) = 6 and f(4) = 8, and f: A → B then f -1 is:
10. Suppose E and F are two events of a random experiment. If the probability of occurrence of E is 1/5 and the probability of occurrence of F given E…
11. Find the effective rate of interest on ₹ 10,000 on which interest is payable half yearly at 5% p.a.
12. What is the mean of X having the following density function? f(x) = ( 1 / 4√(2π) ) e -(x-10) 2 / 32 for -∞ < X < ∞
13. In a Poisson distribution if P(x=4) = P(x= 5) then the parameter of Poisson distribution is:
14. If the two lines of regression are x + 2y − 5 = 0 and 2x + 3y − 8 = 0, then the regression line of y on x is:
15. Ram is known to hit a target in 2 out of 3 shots whereas Shyam is known to hit the same target in 5 out of 11 shots. What is the probability that…
16. In the following number series only one number is wrong. Find out the wrong number. 18.3, 20.6, 16, 22.9, 13.7, 2.2, 11.4
17. The equation x 3 - x 2 - 12x = 0 is satisfied by ____
18. Find D6 for the following observations. 7, 9, 5, 4, 10, 15, 14, 18, 6, 20
19. The appropriate measure of dispersion for open-end classification is
20. Evaluate the value of ∫ 0 3 (3x 2 + 5x + 2) dx
21. If y = ax 3 +bx 2 +cx+d, then dy / dx is equal to:
22. When the data are classified in respect of successive time points, they are known as ______
23. Two variables x and y are related by 5x + 6y + 9 = 0 and x = 6, then y is
24. A variable is known to be ______ if it can assume any value from a given interval.
25. Following are the marks of 10 students:82, 79, 56, 79, 85, 95, 55, 72, 70, 66. Find coefficient of range.
26. Which term of the series 3, √3, 1, 1 / √3 , ...... is 1 / 243 ?
27. The series 1 2 + 2 2 + 3 2 + 4 2 + ... + 10 2 is equal to
28. lim x→0 log(1+x) / x is equal to ______
29. A card is drawn from each of two well-shuffled packs of cards. The probability that at least one of them is an ace is
30. If P(A) = 1 / 2 , P(B) = 1 / 3 and P(A ∩ B) = 1 / 4 , then the value of P(A ∪ B) is: