Exponents and Powers Quiz

Write the value of the following expression in exponential form: [(-1)51 + (-2)3 + (-3)2 + (-4)3]

1. (-4)³
2. 4³
3. (-5)³
4. 5³

Answer: (a) (-4)³

Express u in the form of r, s and t with the help of the given equation. [(a/b)r x (a/b)s] ÷ (a/b)2 = (a/b)-t ÷ (a/b)-u

1. r + s - t = u
2. 2 - r - s - t = u
3. r + s + t - 2 = u
4. r + s + t = u

Answer: (c) r + s + t - 2 = u

Find the value of (a + b) if (625)a x (49)b - 2 = (25)a + 3 x (343)b.

1. 4
2. -4
3. 2
4. -1

Answer: (d) -1

The result of (20 + 30 + 60 + 100) x 25 is subtracted from [(32)3 x 23]/9. What is the resulting difference?

1. 2³ x 5 x 13
2. 2² x 5 x 13
3. 2² x 13
4. 5 x 13

Answer: (a) 2³ x 5 x 13

Find the power of the largest prime factor in the given expression. [(1/2)5 x 64 x 125] ÷ [(1/2)2 x 150] x (-1/5)/(-1/125)

1. 0
2. 1
3. 3
4. 4

Answer: (c) 3

A certain type of bacteria triples every thirty minutes. How many bacteria will be present after 4 hours if there are initially 150 bacteria?

1. 450
2. 150 + 3 x 8
3. 150 x 3⁴
4. 150 x 3⁸

Answer: (d) 150 x 3⁸

Write the value of v + y in terms of v using the following equation: [(252)v]9 = [(125)3]y

1. 5v
2. 3v
3. 4v
4. 2v

Answer: (a) 5v

Rachel presents a puzzle to Alex. She tells him that if a bird flaps its wings about 0.03 x 10⁹ times in an hour, then how many times does it flap its wings in 15 days?

1. 15.2 x 10¹⁰
2. 1.08 x 10¹⁰
3. 1.5 x 10¹⁰
4. 10.8 x 10¹⁰

Answer: (b) 1.08 x 10¹⁰

Read the passage carefully and answer the following question. Peter and Charlie go to a fair. They play an interesting game of solving questions there. The score after solving the first question is 6400, and for subsequent questions, the score becomes four times the score obtained in the previous question. The first prize is awarded after solving 7 questions, the second prize after solving 6 questions and the third prize is given after solving 5 questions. If one wants to get second prize, what should be the score?

1. 6400 x 4 x 4 x 4 x 4 x 4 x 4
2. 218 x 52
3. 216 x 52
4. 6400 x 4 x 4 x 4 x 4

Answer: (b) 218 x 52

Read the passage carefully and answer the following question. Peter and Charlie go to a fair. They play an interesting game of solving questions there. The score after solving the first question is 6400, and for subsequent questions, the score becomes four times the score obtained in the previous question. The first prize is awarded after solving 7 questions, the second prize after solving 6 questions and the third prize is given after solving 5 questions. How many questions does Peter solve if his score is 1638400? Does he win any prizes?

1. 5, no prize
2. 6, second prize
3. 5, third prize
4. 4, no prize

Answer: (c) 5, third prize