Unit 6 - Practice Quiz

1 What is the formula for calculating Simple Interest (SI) where is principal, is rate of interest per annum, and is time in years?

2 In Simple Interest calculations, how is the total Amount () determined?

3 Calculate the Simple Interest on a principal of 1000 at a rate of 5% per annum for 2 years.

4 For the first year, assuming the interest is compounded annually, what is the relationship between Simple Interest (SI) and Compound Interest (CI) for the same principal and rate?

5 What is the formula for the difference between Compound Interest (CI) and Simple Interest (SI) for exactly 2 years on a principal at rate % per annum?

6 What does EMI stand for in the context of loan repayments?

7 If you are facing North and turn 90 degrees to your right, which direction are you facing now?

8 A person walks 5 km East, then turns left and walks another 5 km. Which direction is he facing at the end?

9 In the morning at sunrise, in which direction does a person's shadow fall?

10 A is the brother of B. B is the sister of C. How is A related to C?

11 Pointing to a photograph, a man says, "She is the daughter of my father's only son." How is the girl in the photograph related to the man?

12 What is the relationship term for your mother's brother?

13 In a mirror image formed by a vertical mirror, what kind of inversion takes place?

14 A water image of an object is visually identical to its mirror image when the mirror is placed:

15 When a transparent square sheet of paper with a pattern is folded along a dotted line, what is primarily being tested?

16 If a circular piece of paper is folded in half twice (into a quarter circle) and a single hole is punched through it, how many holes will appear when it is completely unfolded?

17 In 'Completion of the figure' problems, what is the solver expected to do?

18 What does an 'embedded figure' refer to in non-verbal reasoning?

19 To correctly identify an embedded figure, what is generally true about the orientation of the hidden shape?

20 In visual reasoning, what does 'deviation of figure' typically involve?

21 A sum of money becomes of itself in 5 years at a certain rate of simple interest. What is the rate of interest per annum?

22 Find the compound interest on Rs. 8000 at 5\% per annum for 2 years, compounded annually.

23 The difference between compound interest and simple interest on a certain sum of money for 2 years at 10\% per annum is Rs. 40. Find the principal sum.

24 What is the difference between Compound Interest (compounded annually) and Simple Interest on Rs. 5000 for 3 years at 10\% per annum?

25 Which of the following represents the correct formula for calculating Equated Monthly Installment (EMI) on a reducing balance, where is principal, is monthly interest rate, and is total number of monthly installments?

26 In a standard reducing balance loan EMI payment schedule, how does the proportion of principal and interest components change over the tenure of the loan?

27 If a person takes a loan of Rs. 1,00,000 at a flat rate of 12\% per annum simple interest for 2 years, what will be the monthly EMI?

28 A man walks 5 km toward South and then turns to the right. After walking 3 km he turns to the left and walks 5 km. In which direction is he from the starting place?

29 Rahul is facing East. He turns 90 degrees in the anticlockwise direction and then 135 degrees in the clockwise direction. Which direction is he facing now?

30 Point A is 10 m West of Point B. Point C is 10 m North of Point B. Point D is 20 m East of Point C. What is the shortest distance between Point A and Point D?

31 Pointing to a photograph of a boy, Suresh said, "He is the son of the only son of my mother." How is Suresh related to that boy?

32 If A + B means A is the brother of B; A - B means A is the sister of B; A * B means A is the father of B. Which of the following expressions definitively means that C is the son of M?

33 Q is the brother of R; P is the sister of Q; T is the brother of S; S is the daughter of R. Who is the nephew of Q?

34 A is the father of C. But C is not his son. E is the daughter of C. F is the spouse of A. B is the brother of C. How is B related to E?

35 What will be the apparent time shown in the water image of a clock that currently shows 8:20?

36 In a vertical mirror image, which of the following English uppercase alphabets remains unchanged in its appearance?

37 A square piece of paper is folded in half horizontally (top to bottom), then folded in half vertically (left to right) to form a smaller square. A single circular hole is punched exactly in the center of this folded smaller square. When the paper is completely unfolded, what will the pattern look like?

38 A square grid is divided into four equal quadrants. The top-left quadrant contains a single circle. The top-right quadrant contains two circles. The bottom-left quadrant contains three circles. To complete the logical sequence in this visual pattern, what should the bottom-right quadrant contain?

39 A complex geometric pattern consists of a large square that is perfectly divided into 8 equal triangles by intersecting its two diagonals and two perpendicular bisectors (horizontal and vertical center lines). Which of the following simple figures is definitively embedded within this complex pattern?

40 In a visual reasoning series, an arrow points North in the first figure, North-East in the second figure, East in the third figure, and South-East in the fourth figure. Based on this pattern of deviation, where should the arrow point in the fifth figure?

41 A sum of money is invested at compound interest, payable annually. The interest earned in the second year is $1320$ and the interest earned in the third year is $1452$. What is the original principal sum?

42 The difference between the compound interest (compounded annually) and the simple interest on a certain sum of money for $3$ years at per annum is $1701$. What is the sum?

43 A man borrows $25220$ at compound interest per annum, to be paid back in $3$ equal annual installments. What is the value of each installment?

44 A sum of money amounts to $18600$ after $3$ years and to $27900$ after $6$ years at a certain rate of compound interest, compounded annually. What is the sum?

45 A loan is to be repaid in $2$ equal half-yearly installments of $6760$ each. If the rate of interest is per annum compounded half-yearly, find the total interest paid on the loan.

46 A person invested a certain sum at simple interest for $2$ years at p.a. Had he invested the same sum at compound interest (compounded annually) at the same rate and for the same time, he would have received $100$ more. If he invests the original sum at p.a. compounded half-yearly for $1.5$ years, what will be his total compound interest?

47 A robot starts from point Origin and moves meters South-West. It then turns anti-clockwise and moves $5$ meters. Finally, it turns clockwise and moves $12$ meters. How far and in which direction is the robot from the Origin?

48 At sunrise, A and B are standing in a park facing each other. If B's shadow falls exactly to the right of A, and A then turns clockwise, which direction is A facing now?

49 Town P is $12$ km towards the North of Town Q. Town R is $15$ km towards the East of Town P. Town S is $8$ km towards the West of Town Q. Town T is exactly midway between Town P and Town R. What is the shortest distance between Town S and Town T?

50 In a coded blood relation system:
means A is the husband of B.
means A is the sister of B.
means A is the mother of B.
means A is the brother of B.
If , how is P related to T?

51 Pointing to a man in a photograph, a woman named Kiara said, "His mother's only daughter is the sister of my husband's father." How is the man in the photograph related to Kiara's husband?

52 A family consists of six members A, B, C, D, E, and F. There are two married couples. B is a doctor and the father of E. F is the grandfather of C and is a contractor. D is the grandmother of E and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. The nurse is the mother of C. Who is the husband of the nurse?

53 A clock is placed upside down in front of a vertical mirror. If the actual time on the clock is 8:50, what time will its reflection in the mirror appear to show?

54 If the alphanumeric sequence 'BR4AQ16' is reflected in a mirror placed on its right, and then this image is reflected in water (mirror placed horizontally below), which of the following describes the final transformation of the letter 'Q'?

55 A square piece of paper is folded in half diagonally to form a triangle. It is then folded in half again along the altitude to form a smaller triangle. A semi-circular cut is made exactly on the midpoint of the longest side (the hypotenuse) of this smallest triangle. When the paper is completely unfolded, how many circular holes or semi-circular cuts will be visible, and where?

56 A circular paper is folded in half, and then in half again to form a quadrant. Two small square holes are punched in the quadrant: one near the vertex and another near the curved edge. When unfolded completely, what is the arrangement of the square holes?

57 A visual matrix follows a specific pattern across its rows. In Row 1, Figure A is a square with an internal upward arrow. Figure B is a square with an internal rightward arrow and a dot in the top-left corner. Figure C is a square with an internal downward arrow and dots in the top-left and top-right corners. If Row 3 follows the same logic, starting with a pentagon with an upward arrow, what will the 3rd figure in Row 3 look like?

58 A geometric sequence consists of a central hexagon surrounded by smaller triangles. In the first figure, $1$ triangle is shaded. In the second, $3$ triangles are shaded. In the third, $6$ triangles are shaded. Following this sequence, how many triangles will be shaded in the fifth figure?

59 Which set of distinct minimum line segments is required to construct a complex embedded figure consisting of a regular octagon inscribed within a circle, where every alternate vertex of the octagon is connected to the center?

60 Five complex geometric figures (A, B, C, D, E) are given. Figures A, B, C, and D contain an outer polygon with sides, an inner polygon with sides, and exactly crossing internal diagonals. Figure E contains an outer polygon with $6$ sides, an inner polygon with $5$ sides, but exactly $5$ crossing internal diagonals. If Figure E is the odd one out, how many crossing internal diagonals should a valid 6-sided outer polygon figure contain to match the pattern?