**NATIONAL MANAGEMENT COLLEGE, THUDUPATHI.**

**CA FOUNDATION**

**PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS**

**Revision test 3 (22.03.2022)**

** ****Time ****Allowed**** ****: ½ hour**** ****Maximum ****Marks:**** ****25**

**1) The present value of a scooter is Rs. 7290. The rate of depreciation is 10%. What was its value 3 years ago?**

(a) 10,000 (b) 10010

(c) 9990 (d) 12000

**2) The difference between compound interest, compounded semi annually and simple interest on Rs.400 at 10% p.a. for one year.**

(a) Rs. 1 (b) Rs. 28

(c) Rs.35 (d) Rs.40

**3) If the interest of a money is equal to its one by nine, the rate of interest and time are**

**equal then find rate of interest is.**

(a) 3 % (b) 4 % c) 3% d) 4%

**4) 1/7 of a money is deposited at 4% per annum , 1/2 of a money deposited at 5% per annum and the remaining at the rate of 6%, then total interest gained Rs. 730 find deposit amount is**

(a) Rs. 14000 (b) Rs. 15500

(c) Rs. 12800 (d) Rs. 14500

**5) Ram deposited `12000 in a bank at 10% per annum and remaining amount deposit another bank at 20% per annum. if he received interest according to 14% per annum find the Ram’s amount.**

(a) Rs. 20000 (b) Rs. 22000

(c) Rs. 30000 (d) Rs. 25000

**6) The present population of a town is 25,000. If it grows at the rate of 4%, 5%, 8% during1st year, 2nd year, 3rd year respectively. Then find the population after 3 years.**

(a) 29,484 (b) 29,844 (c) 29,448 (d) 28,944

**7) An amount 35000 with the rate of interest is 7% per annum, it is compounded on a monthly basis, then tell the effective rate of interest.**

(a) 7.22% (b) 7.64%

(c) 7.0%. (d) 7.5%

**8) In what time will a sum Rs. 800 amounts to Rs. 882 at 5% p.a. compounded annually**

(a) 1 yrs (b) 2 yrs (c) 3 yrs (d) 4 yrs

**9) If the difference between interest received by two persons A and B on the same sum ofRs.1500 for 3 years Rs. 18. Then what is the difference between the two rates of interest.**

(a) 1% (b) 2.5% (c)3 % (d) 0.4%

**10) The useful life of a machine whose cost is Rs. 10,000 is 10 years. If it depreciates at**

10% p.a. then the scrap value of the machine is.

(a)Rs. 3486.70 (b) Rs. 3158.30 (c) Rs. 3500 (d) Rs. 7033

**11) The Effective Rate of interest does not depend upon**

(a) Amount of Principal (b) Amount of interest

(c) Number of Conversion periods (d) None of these

**12) In simple interest if the principal is Rs.2,000 and the Rate and time are the Roots of the equation x ^{2} – 11x + 30 = 0 then the simple interest is _________**

(a) Rs.500 (b) Rs.600 (c) Rs.700 (d) Rs.800

**13) Present value takes………..?**

(a) Compounding rate (b) Deflation rate

(c) Inflation rate (d) Discounting rate

**14). Let a person invest a fixed sum at the end of each month in an account paying interest 12% per year compounded monthly. It the future value of this annuity after the 12th payment is Rs.55,000 then the amount invested every month is?**

(a) Rs. 4,8,37 (b) Rs. 4,637 (c) Rs. 4,337 (d) Rs. 3337

**15)Mr. X wants to accumulate Rs. 50,00,000 at end of 10 years . Then how much amount is required to be invested every year , if the interest is compounded annually at 10% ?**

a)3,13,726.87 b)4,13,726.87 c)3,53,726.87 d)4,53,726.87

**16) If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be:**

- a) 10% per annum b) 10.10% per annum
- c) 10.25%per annum d) 10.38% per annum

**17) If nominal rate of return is 10% per annum and annual effective rate of interest is 10.25% per annum, determine the frequency of compounding:**

- a) 1 b) 2 c) 3 d) None of the above

**18) What is the present value of a perpetuity with an annual year-end payment of $1,500 and expected annual rate of return equal to 12 percent?**

- A) $14000 b) $13500 c) $11400 d) $12500

**19) To triple $1 million, Mika invested $1million today at an annual rate of return of 9 percent. How long will it take Mika to achieve his goal?**

- A) 15.5 years B) 13.9 years C) 12.7 years D) 10 years

**20) Which of the following is the formula for compound value?**

- a) FV= P(1 + i)
^{n}b) FV= (1 + i)/P - c) FV= P/(1 + i)
^{n}d) FV= P(1 + i)^{-n}

**21) A sum of money gets doubled in 5 years at X% simple interest. If the interest was Y%, the sum of money would have become ten-fold in thirty years. What is Y – X (in %)**

a)10 b) 5 c) 8 d) none of these

**22) Sinking fund factor is the reciprocal of:**

- a) Present value interest factor of a single cash flow.

b)Present value interest factor of an annuity.

c)Future value interest factor of a single cash flow.

d)Future value interest factor of an annuity.

**23) The difference between present value of cash inflows and present value of cash outflows is known as:**

a)Gross present value (b)Capital

(c)Net present value (d)None of these

**24) A person wants to lease out a machine costing Rs. 5,00,000 for a 10 year period. It has fixed a rental of Rs. 51,272 per annum payable annually starting from the end of first year. Suppose rate of interest is 10% per annum, compounded annually on which money can be invested. To whom this agreement is favourable?**

(a) Favour for lessee (b) Favour for lessor

(c) Not for both (d) Can’t be determined

**25) A Maruti Zen cost Rs. 3,60,000. Its price depreciates at the rate of 10% of a year during the first two years and at the rate of 20% in third year. Find the total depreciation**

- a) `Rs.1,26,720 (b) Rs. 1,15,620 (c) Rs. 1,25,000 (d) Rs. 1,10,520