CA Foundation Quantitative Aptitude RTP January 2025: Question Paper and Solutions

How to Prepare for CA Foundation Quantitative Aptitude

Solving past MTPs, RTPs, and suggested answers from previous examination windows is essential to mastering time management under the time limit applicable to your exam paper. Review step-by-step working notes, legal case precedents, and accounting disclosures with instant 24/7 AI tutor assistance via CApex.

Question directory and available solutions

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

1. The salaries of A, B and C are of ratio 2:3:5. If the increments of 15%, 10% and 20% are done their respective salaries, then find new salaries.
2. log 4 (x 2 +x)-log 4 (x+1) = 2, then the value of x is
3. If the nominal rate of growth is 17% and inflation is 9% for the five years. Let P be the Gross Domestic Product (GDP) amount at present year then…
4. What will be population after 3 years when present population is 25,000 and population increases at the rate of 3% in I year, at 4% in II year and…
5. The future value of an annuity of ₹1500 made annually for five years at interest of 10% compounded annually is (Given that (1.1) 5 = 1.61051)
6. Find the effective annual rate of interest corresponding to a nominal rate of 8% per annum payable half-yearly is:
7. If the sum of 'terms of an Arithmetic Progression is 2n 2 , the fifth term is.
8. The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is
9. Let Z be the universal set for two sets – A and B. If n(A) = 300, n(B) = 400 and n (A ∩ B) = 200, then n (A' ∩ B') is equal to 400 provided…
10. In a group of students 80 can speak Hindi, 60 can speak English and 40 can speak Hindi and English both, then number of students is:
11. If f(x) = x 2 -1 and g(x) = 2x+3 then gof (3)
12. ∫2 3x .3 2x .5 x dx=
13. Marginal cost and marginal revenue of a commodity is C'(x)=8+6x and R'(x)=30. Fixed cost is 0. Find the total profit.
14. If 2x+5>3x+2 and 2x-3≤4x-5, then 'x' can take which of the following value?
15. The value of scooter is ₹1,00,000 find its depreciation is 10% p.a. Calculate total depreciation value at the end of seven years.
16. Find out the wrong number. 2,10,18,54,162,486,1458
17. In a certain code, „Delhi is capital" is coded as "7 5 9", "capital are beautiful" is coded as "3 6 9", "Delhi is beautiful" is coded as "6 7 5",…
18. Pointing towards photograph. Vinod said "she is the daughter of my wife's mother's only daughter ”. How is Vinod is related to the girl in the…
19. Sanjay started from his house towards west. After a walking a distance 15 km he turned to the right and walked 10 km, he again turned to the right…
20. If, in a code, MIND becomes KGLB and ARGUE becomes YPESC, then what will DIAGRAM be in that code?
21. The Standard deviation is independent of change of
22. The coefficients of correlation between two variables x and y is the simple ______ of two regression coefficients.
23. Two regression lines coincide when:
24. For a normal distribution Q 1 = 54.32 and Q 3 = 78.86, then the median of the distribution is
25. In a Binomial Distribution B (n, p), n= 4, then P (x=2) = 3 P (x= 3) find P
26. One card is drawn from a pack of 52, what is the probability that is a king or queen?
27. Circular test is satisfied by
28. Standard deviation of first n natural number is 2. What is the value of n?
29. In the equation 4x+2y = 3, quartile deviation for y is 3. Find the quartile deviation for x.
30. For a normal distribution, the first and third quartile are given to be 37 and 49, the mode of the distribution is.