# BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS – MT 2

### NATIONAL MANAGEMENT COLLEGE, THUDUPATHI.

CA FOUNDATION

Monthly  test 2(03.11.2022)

PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS

Time Allowed : 1 hour                                               Maximum Marks: 50

1) There is a 60% increase in an amount in 6 years at simple interest . What will be the compound interest of  Rs.12000 after 3 years at the same rate ?

1. A) Rs. 2160 B) Rs. 3120 c) Rs. 3972 D) Rs. 6240

2) The simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs.4000 for 2 years at 10% per annum . The sum placed on simple interest is ?

A)Rs. 1550 B) Rs. 1650 C) Rs. 1750 D) Rs. 2000

3) A sum of money at compound interest amounts to thrice of itself in 3 years. In how many years it will be 9 times of itself?

1. A) 9 years B) 27 years C) 6 years D) 3 years

4) A sum of Rs. 8000 will amount to Rs. 8820 in 2 years if the interest is calculated every year. The rate of compound interest is = ?

1. a) 6% b) 7% c) 3%         d) 5%

5) In what time will Rs 64000 amounts to Rs 68921 at 5% per annum interest

being compounded half yearly?

1. a) 1.5 years b) 2 years c) 2.5 years d) 3 years

6) A man invested 1/3rd of the sum at 7%, 1/4th at 8% and the remaining at 10% for one year. If the annual interest is 408, then the investment is

(a) 8,400 (b) 4,800 (c) 5,000 (d) 7,200

7) Find the compound interest on 12000 for 3 years at 10% per annum compounded annually.

(a) 3972 (b) 3872 (c) 3772 (d) 3672

8) The cost of a machine is estimated to be decreasing at the rate of 15% every year. If it costs 6,000 now, what will be the estimated value of the machine after 2 years?

(a) 3,750 (b) 4,335 (c) 3,225 (d) 5,000

9) Simple Interest on 1500 at 7% per annum for a certain time is 210. Find the time.

(a) 2 years (b) 1.5 years (c) 2.8 years (d) 3 years

10) Sarvesh borrowed 5,000 from Arun with simple interest. After 2 years, Arun got 1,000 more than what he had given to Sarvesh. What was the percentage of interest per annum?

(a) 10 (b) 20 (c) 15 (d) 5

11) The difference between the compound and the simple interest on a certain sum at 7½% per annum for 3 years is 110.70. Find the sum:

(a) 6400 (b) 1200 (c) 320050 (d) 2400

12) Mayank bought a Microwave for 4000 on credit. The rate of interest for the first year is 5% and of second year is 15%. How much will it cost him if he pays the amount after two years?

(a) 4950 (b) 4830 (c) 4620 (d) 4240

13) A sum was put at simple interest at a certain rate for 2 years. Had it been put at 1% higher rate, it would have fetched 24 more. Find the sum.

(a) 1200 (b) 1600 (c) 2000 (d) 2400

14) The present population of a town is 25000. It grows at the rate of 4%, 5% and 8% during the first year, second year and third year respectively. Find its population after 3 years.

(a) 29484 (b) 29844 (c) 24984 (d) 29848

15) If the effective rate of interest compounded quarterly is 16%, then the nominal rate of interest is

a)14.6% b) 15% c) 14.8% d) 15.12%

16) A person deposited a sum of of Rs 6000 in a bank at 5% per annum simple interest. Another person deposited Rs 5000 at 8% per annum compound interest. After two years, the difference of their interest will be = ?

A)Rs. 230 B)Rs. 232 C) Rs. 832 D)Rs. 600

17) Given an investment of Rs. 10,000 for a period of one year, it is better to invest in a scheme that pays:

a)12% interest compounded annually b)12% interest compounded quarterly

c)12% interest compounded monthly d)12% interest compounded daily

18) Interest paid (earned) on both the original principal borrowed (lent) and previous interest earned is often referred to as __________.

a)present value b)simple interest c)future value d)compound interest

19) . What will be population after 3 years when present population is 25,000 and population increase at the rate of 3% in first year , at 4% in second year and at 5 % in third year ?

(a) 28,119 (b) 29,118 (c) 30,100 (d) 27,100

20) The cost of machinery is Rs. 1,25,000/- if its useful life is estimated to be 20 years and the rate of depreciation of its cost is 10% p.a., then the scrap value of the Machinery is

(a) 15,197 (b) 15,400 (c) 15,300 (d) 15,250

21) A Machine was purchased for ` 10,000. Its rate of depreciation is 10% in the first year and 5 % per annum afterwards. Find the depreciated value of Machine after 7 years of purchase

(a) ` 6606 (b) ` 6616 (c) ` 6660 (d) ` 6661

22) . SI = 0.125 P at 10% p.a find the time

(a) 1.25 years (b) 25 Years (c) 0.25 Years (d) none

23) A person deposited a sum of Rs. 10,000 in a bank. After 2 years, he withdrew Rs. 4,000 and at the end of 5 years, he received an amount of Rs. 7,900; then the rate of simple interest is:

(a) 6% (b) 5% (c) 10% (d) None of these

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

(a)  10,000 (b)10,010 (c)  9990 (d)12,000

25) In how much time the S.I. on a certain sum becomes 0.125 times to its principle at 10% p.a. is

(a) 1.00 yrs (b)1.25 yrs (c) 1.50 yrs (d)2.00 yrs

26) . Two variables x and y are related by 5x + 6y + 9 = 0 and x = 6, then y is

(a)6.50           (b)6.66            (c)– 6.50     (d)– 6.66

27) . Determine two consecutive negative even integers whose product is 24?

(a)(-6,-4)         (b) (-8,-6)       (c)  (-10,-8)    (d)none of these

28) The sum of the roots of the quadratic equation 3 – 9x + 5 = 0 is

(a) 3                 (b) 6                    (c) -3                 (d) 2

29) In simple interest if the principal is Rs.2,000 and the Rate and time are the Roots of the equation x2 – 11x + 30 = 0 then the simple interest is _________

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

30) Solve the equation – 9 + 14x + 24 = 0 if it is given that two of its roots are in the ratio  3: 2.

(a) (-1,4,6)             (b) (10,-9,9)          (c) (7,-3,1)        (d) none

31) If a, P are roots of the equation x² + 5x + 5 = 0, then equation whose roots are

a + 1 and p + 1 is

(a) x² + 5x – 5 = 0                                      (b) x² + 3x + 5 = 0

(c) x² + 3x + 1 = 0                                     (d) none of these

32) If x² = – 4 then the value of x is

(a) (-2, 2) (b) (-2, ∞) (c) (2, ∞) (d) No solution

33) The interval in which f(x) = (x – 1) × (x – 2) × (x – 3) is negative is

(a) x > 2 (b) 2 < x and x < 1

(c) 2 < x < 1 and x < 3 (d) 2 < x < 3 and x < 1

34) The graph of the inequations x ≥ 0, y ≥ 0, 3x + 4y ≤ 12 is

(a) none of these (b) interior of a triangle including the points on the sides

(c) in the 2nd quadrant (d) exterior of a triangle

35) If Ram has x rupees and he pay 40 rupees to shopkeeper then find range of x if amount of money left with Ram is at most 10 rupees is given by inequation __________________

1. a) x ≥ 10 b) x ≤ 10 c) x ≤ 50 d) x ≥ 50

36) On solving the inequalities   6x + y ≥18,   x +  4y ≥ 12,  2x + y ≥ 10,

We get the following situation

(a)  (0,18) , (12,0) , (4,2) , (2,6) (b)  (0,18) , (12,0) , (4,2) ,(0,0) , (7,6)

(c) (3,0) , (0,3) , (4, 2) , (7,6) (d) (5,0) , (0,10) , (4, 2) , (7,6)

37) On the average experienced person does 5 units of work while a fresh one 3 units of work daily but the employer has to maintain an output of at least 30 units of work per day. This situation can be expressed as

(a) 5x + 3y ≤   30            (b) 5x + 3y >30

(c) 5x+3y ≥  30  ,x≥ 0, y≥0                      (d) none of these

38) Solving  -6  +11 x -6=0 we get the following roots

(a) -1, -2, 3 (b) 1, 2, -3 (c) 1, 2, 3 (d) -1, -2, -3

39) . If   – 4ac = 0 the roots are

(a)Real, Unequal (b)Real, Equal (c)Irrational, Unequal        (d)Rational, Unequal

40) The compound interest on Rs.30,000 at 7% per annum is Rs.4347. What is the period?

a)1 year b) 2 years c) 3years d) 3.5 years

41) .Find the simple interest of Rs.14000 at 10% per annum for 3 months ?

A 300                    B. 350                         C. 380                                  D. 400

42) At what rate will a sum increase by 40% in 2 Yr at SI ?

1. A) 18%                           B) 20%                C )22%                        D) 25%

43) . If at same rate of interest, in 2 years, the simple interest is Rs. 40 and compound interest is Rs. 41, then what is the principal

1. Rs. 500 b. Rs. 400 c. Rs. 800 d. Rs. 820

44) A sum of money invested at compound interest amounts to Rs. 800 in 3 years and to Rs. 840 in 4 years. The rate of interest per annum is

1. 2%                             b. 4% c. 5%                                   d. 6%

45) . What will be the interest earned on sum of Rs. 5500 kept for 6 months at 25% interest rate compounded quarterly?

1. Rs. 825 b. Rs. 735.5 c. Rs. 855 d. Rs. 815

46) . The compound interest on \$ 50000 at 8 % per annum for 2 years, compounded annually, is ………….

(a) \$ 8000               (b) \$ 8250 (c) \$ 8350            (d) \$ 8640

47) The   common region indicated on the diagram is expressed by the inequality

a)X +2y =4; x – y ≤ 3 b)-X +2y =4; x + y ≤ 3

c)X -2y =4; -x-y ≤ 3 d)None

48) An employer recruits experienced (x) and fresh workmen (y) for his firm under the condition that he cannot employ more than 9 people. x and y can be related by the inequality

(a) x + y≠9                                           (b) x + y≤9     x≥0, y≥0

(c) x + y≥9,   x≥0, y≥0                 (d) none of these

49)  The common region represented by the following in equalities

L1= X1 + X2  ≤  4;    L2 = 2X1 + X2  ≥ 6

(a) OABC  (b) Outside of OAB

(c) ∆ BCE  (d) ∆ ABE

50) If the square of the number exceeds  twice of the number by 15 , then the number that satisfy the condition is

1. a) 5 b)3 c)-5 d) 15