Unit 6 - Practice Quiz

PEA305

1 What is the formula for calculating Simple Interest (), where is Principal, is Rate per annum, and is Time in years?

A.
B.
C.
D.

2 Calculate the simple interest on a principal of 5\%$ per annum for 4 years.

A. $800
B. $1000
C. $1200
D. $1500

3 Which of the following formulas represents the Amount () in Compound Interest compounded annually?

A.
B.
C.
D.

4 For the first year (assuming annual compounding), which of the following statements is true?

A. Simple Interest Compound Interest
B. Simple Interest Compound Interest
C. Simple Interest Compound Interest
D. Cannot be determined

5 Find the compound interest on 10\%$ per annum.

A. $2000
B. $2100
C. $2200
D. $2050

6 What is the difference between Compound Interest and Simple Interest on a sum of for 2 years at per annum?

A.
B.
C.
D.

7 If interest is compounded half-yearly, the rate of interest is ‚……… and time is ‚……… compared to annual calculation.

A. doubled, halved
B. halved, doubled
C. same, doubled
D. halved, same

8 A sum of money doubles itself in 10 years at simple interest. What is the rate of interest?

A.
B.
C.
D.

9 The difference between CI and SI on a certain sum for 2 years at per annum is $25. Find the sum.

A. $5,000
B. $8,000
C. $10,000
D. $15,000

10 The population of a city increases at the rate of per annum. If the present population is 1,60,000, what will be the population after 2 years?

A. 1,76,000
B. 1,76,400
C. 1,78,000
D. 1,80,000

11 A machine is purchased for 10\%$ per annum. What will be its value after 2 years?

A. $40,000
B. $40,500
C. $41,000
D. $45,000

12 At what rate of compound interest per annum will a sum of 1348.32 in 2 years?

A.
B.
C.
D.

13 If the compound interest on a certain sum for 2 years at p.a. is $102, what is the simple interest for the same period and rate?

A. $90
B. $95
C. $100
D. $101

14 Which mathematical concept is primarily used to calculate the future value of a loan that accumulates interest on previous interest?

A. Simple Interest
B. Arithmetic Progression
C. Compound Interest
D. Linear Regression

15 A bacteria culture grows by in the first hour, decreases by in the second hour, and grows by in the third hour. If the initial count is 1000, what is the count at the end of 3 hours?

A. 1000
B. 1089
C. 1100
D. 1080

16 Point A is $5$ km North of Point B. Point C is $5$ km East of Point B. What is the shortest distance between A and C?

A. $5$ km
B. $7.07$ km
C. $10$ km
D. $25$ km

17 A person walks 4 km towards West, then turns to his Right and walks 3 km. How far is he from the starting point?

A. 4 km
B. 5 km
C. 7 km
D. 25 km

18 A man is facing North-West. He turns in the clockwise direction, then in the anti-clockwise direction. Which direction is he facing now?

A. South-West
B. South-East
C. North-East
D. West

19 If South-East becomes North, North-East becomes West and so on, what will West become?

A. North-East
B. North-West
C. South-East
D. South-West

20 One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?

A. East
B. West
C. North
D. South

21 A man points to a woman in a photo and says, "Her father's only son is my father." How is the man related to the woman in the photo?

A. Brother
B. Son
C. Father
D. Nephew

22 A is the brother of B. B is the sister of C. C is the father of D. How is D related to A?

A. Brother
B. Sister
C. Nephew or Niece
D. Uncle

23 Pointing to a man, a woman said, "He is the only son of my mother's mother." How is the woman related to the man?

A. Aunt
B. Daughter
C. Sister
D. Niece

24 If A + B means A is the mother of B; A - B means A is the brother of B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?

A. Q - N + M x P
B. P + S x N - Q
C. P - M + N x Q
D. Q - S % P

25 A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is the girl's:

A. Brother
B. Uncle
C. Son
D. Son-in-law

26 A car was bought for 20\%10\%$ in the second year. What is the value after 2 years?

A. $200,000
B. $210,000
C. $216,000
D. $220,000

27 In how many years will a sum of 882 at compound interest per annum?

A. 1 year
B. 2 years
C. 3 years
D. 4 years

28 The difference between the simple interest received from two different sources on 13.50. The difference between their rates of interest is:

A.
B.
C.
D.

29 If the Simple Interest on a sum for 3 years at is $150, what would be the Compound Interest on the same sum for the same period and rate?

A. $155.25
B. $157.625
C. $160
D. $152.50

30 A village population decreases by annually due to migration. If the current population is 10,000, what was the population 2 years ago?

A. 15,000
B. 14,500
C. 15,625
D. 12,500

31 X is East of Y and West of Z. Z is North-West of P. In which direction is Y with respect to Z?

A. North
B. South
C. East
D. West

32 Rahul travels 10 km towards North, turns left and travels 4 km, and then again turns right and covers another 5 km. He then turns right and travels another 4 km. How far is he from the starting point?

A. 5 km
B. 10 km
C. 15 km
D. 19 km

33 Introducing a man, a woman said, "His wife is the only daughter of my father." How is that man related to the woman?

A. Brother
B. Husband
C. Father-in-law
D. Maternal Uncle

34 What is the effective annual rate of interest corresponding to a nominal rate of per annum payable half-yearly?

A.
B.
C.
D.

35 Which of the following is TRUE about depreciation?

A. The value of the asset increases over time.
B. The rate is added to 1 in the formula .
C. It is calculated like compound interest but with a negative rate.
D. It applies to land value in most economic contexts.

36 A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?

A. P and A are cousins
B. P is the maternal uncle of A
C. Q is the maternal grandfather of A
D. C and P are sisters

37 P is the father of T. T is the daughter of M. M is the daughter of K. What is P to K?

A. Father
B. Son-in-law
C. Brother
D. Son

38 A watch reads 4:30. If the minute hand points East, in what direction will the hour hand point?

A. North
B. North-West
C. South-East
D. North-East

39 Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of Y, is P?

A. North
B. South
C. South-East
D. South-West

40 The compound interest on 7\%4,347. The period (in years) is:

A. 1
B. 2
C. 3
D. 4

41 Find the principal if the simple interest is 5\%$ and time is 2 years.

A. $2000
B. $3000
C. $3500
D. $6000

42 A sum of money amounts to 10,035 after 6 years on compound interest. Find the sum.

A. $4400
B. $4445
C. $4460
D. $4520

43 Looking at a portrait of a man, Harsh said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Harsh looking?

A. His son
B. His cousin
C. His uncle
D. His nephew

44 Deepak starts walking straight towards East. After walking 75 meters, he turns to the left and walks 25 meters. Again he turns to the left and walks a distance of 40 meters straight. Again he turns to the left and walks a distance of 25 meters. How far is he from the starting point?

A. 25 meters
B. 35 meters
C. 50 meters
D. 115 meters

45 If a certain sum of money becomes 8 times of itself in 3 years at compound interest, find the rate of interest.

A.
B.
C.
D.

46 Compound interest on a certain sum for 1 year at per annum compounded half-yearly is $14.49. The simple interest for the same at annual rate would be:

A. $14
B. $12
C. $14.25
D. $13.50

47 A man leaves for his office from his house. He walks towards East. After moving a distance of 20 m, he turns South and walks 10 m. Then he walks 35 m towards the West and further 5 m towards the North. He then turns towards East and walks 15 m. What is the straight distance between his initial and final position?

A. 0 m
B. 5 m
C. 10 m
D. Cannot be determined

48 If A is the brother of F, F is the daughter of D, and P is the brother of D, how is P related to A?

A. Father
B. Uncle
C. Grandfather
D. Brother

49 The cost of a vehicle is 20\%$ per annum, then the total depreciation after 3 years was:

A. $86,400
B. $85,400
C. $89,600
D. $84,000

50 What is the difference between simple and compound interest on 10\%$ per annum?

A. $30
B. $31
C. $32
D. $33