Sample Paper Series- I - CA Foundation MCQ

​The value of 

​If a = log₁₂ 24, b = log₃₆ 24 ,b = log₄₈ 36 then prove that 1 + abc =

If x = 5^1/3 + 5^-1/3, 5x³ - 15x  is given by 

Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice that of his son. The present age of the father and the son are

When two roots of quadratic equations are α and 1/α then what will be quadratic equation.

Let α and β be the roots of equation x²+7 x + 12 = 0. Then the value of  will be 

If A = then Adjoint of Matrix A 

If A =  and A = A^T, then 

If A =  (here i² = -1) then IAI = 

​On solving the inequalities 5x + y ≤100, x + y ≤ 60, x ≥ 0 and y ≥ 0, we get the following situation.

A certain m oney doubles itself in 10 years when deposited on sim ple interest. It would triple itself in

A man deposited Rs. 8, 000 in a bank for 3 years at 5% per annum compound interest, after 3 years he will get

The effective rate of interest for one year corresponding to a nominal at 7% rate of interest per annum convertible quarterly is

The value of furniture deprec iates by 10% a year, if the present valu e of the furniture in an offic e is Rs. 21870, calculate the value of furniture 3 years ago.

The population of a town increases every year by 2 % of the population beginning of that year. The number of years by which the total increase of population be 40% is

Find the future value of an annuity of Rs. 500 m ade annually for 7 years at interest rate of 14 % per annum [Given that (1.14)7 = 2.5023]

Rs. 200 invested at the end of each month in an account paying interest 6% per year compounded monthly. What is the future value of this annuity after 10 th paym ent? [Given that (1.005) 10 = 1.0511]

Suppose your father decides to gift you Rs. 10,000 every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get 10% per annum interest rate compounded annually. What is the present value of this annuity? ( P(4, 0.10) = 3.16987)

Nominal Rate of Return =

Net Present Value (NPV) 

The annual birth rates per 1,000 are 39.4 and 19.4 respectively. The number of years which the population will be doubled assuming there is no immigration or emigration is

Y bought Motor Bike Costing 80,000 by making down payment of Rs. 30000 and agreeing to make annual payment for four years. How much would be each payment if the interest on unpaid amount be 14% compounded annually. [Given P (4, 0.14) = 2.91371]

The value of K, for which the terms 7K +3, 4K-5, 2K+10 are in A.P., is

If A = {1,2,3,4} and B = {1,4,9,16,25} is a function of f is defined set A to B where f(x) = x2 then the range of f is

If ⁿP_r = 336 and ⁿC_r = 56, then n and r will be

If A = {1,2,3,4,5,6,7} and B = {2,4,6} Cardinal number of AUB

In how many ways the letters of the word ‘ARRANGE’ be arranged?