unique questions on Indices ( Exponents)

 

 

Here are 50 unique and simple multiple-choice questions (MCQs) on Indices (Exponents & Powers) for school competitive exams:

---

Basic Concept of Indices (Exponents)

1. What is the value of 2³?
A) 6
B) 8
C) 9
D) 12
Answer: B) 8

2. The exponent in 5² is:
A) 5
B) 2
C) 10
D) 25
Answer: B) 2

3. The base in 7³ is:
A) 7
B) 3
C) 21
D) 49
Answer: A) 7

4. What is 10⁰ equal to?
A) 0
B) 1
C) 10
D) Undefined
Answer: B) 1

5. Which of the following is equal to 3⁴?
A) 3 × 4
B) 3 + 3 + 3 + 3
C) 3 × 3 × 3 × 3
D) 4 × 4 × 4
Answer: C) 3 × 3 × 3 × 3

---

Laws of Indices

6. What is 5³ × 5²?
A) 5⁵
B) 5⁶
C) 5¹
D) 5¹⁰
Answer: A) 5⁵

7. What is (2³)²?
A) 2⁵
B) 2⁶
C) 2⁷
D) 2⁹
Answer: B) 2⁶

8. What is 4⁷ ÷ 4³?
A) 4¹
B) 4²
C) 4³
D) 4⁴
Answer: D) 4⁴

9. What is (3² × 3³)?
A) 3⁵
B) 3⁶
C) 3⁴
D) 3⁷
Answer: A) 3⁵

10. What is (x⁵ ÷ x²)?
A) x²
B) x³
C) x⁷
D) x¹⁰
Answer: B) x³

---

Negative and Fractional Indices

11. What is 2⁻³?
A) -8
B) 8
C) 1/8
D) 1/3
Answer: C) 1/8

12. What is the value of 5⁻²?
A) 1/5²
B) 5²
C) 25
D) -25
Answer: A) 1/5²

13. What is the value of (4⁻¹)?
A) -4
B) ¼
C) 4
D) 16
Answer: B) ¼

14. What is the value of 9^(1/2)?
A) 3
B) 4.5
C) 9
D) 2
Answer: A) 3

15. What is the value of 16^(1/4)?
A) 2
B) 4
C) 8
D) 16
Answer: A) 2

---

Solving Expressions with Indices

16. What is 2³ × 2⁴?
A) 2⁷
B) 2⁶
C) 2¹²
D) 2³
Answer: A) 2⁷

17. What is (x²)³?
A) x²
B) x⁵
C) x⁶
D) x³
Answer: C) x⁶

18. What is (2⁴ ÷ 2²)?
A) 2
B) 2³
C) 2²
D) 2⁶
Answer: C) 2²

19. What is (5⁰ × 10⁰)?
A) 0
B) 1
C) 10
D) 5
Answer: B) 1

20. What is (3³)⁰?
A) 0
B) 1
C) 3
D) 9
Answer: B) 1

---

Exponent Rules and Applications

21. Which of the following is equal to (2⁵ ÷ 2³)?
A) 2²
B) 2³
C) 2⁸
D) 2⁷
Answer: A) 2²

22. If a³ × a⁵ = aⁿ, what is n?
A) 8
B) 15
C) 5
D) 3
Answer: A) 8

23. Which of the following is the same as 64^(1/3)?
A) 4
B) 16
C) 8
D) 2
Answer: A) 4

24. What is the square root of 100 written using indices?
A) 10²
B) 10³
C) 10^(1/2)
D) 100
Answer: C) 10^(1/2)

25. If (x³)² = x⁶, what is the rule applied?
A) Power of a Power Rule
B) Multiplication Rule
C) Division Rule
D) Negative Exponent Rule
Answer: A) Power of a Power Rule

---

Higher-Order Indices Questions

26. What is (x⁴ ÷ x²)?
A) x⁶
B) x²
C) x⁸
D) x⁵
Answer: B) x²

27. What is the value of (10⁻²)?
A) 1/100
B) 10
C) -100
D) 100
Answer: A) 1/100

28. What is the cube root of 27 in index form?
A) 27^(1/3)
B) 27²
C) 27³
D) 27⁻³
Answer: A) 27^(1/3)

29. The reciprocal of 3⁴ is:
A) 3⁻⁴
B) 3³
C) 3²
D) 3⁴
Answer: A) 3⁻⁴

30. What is (4⁵ ÷ 4³)?
A) 4²
B) 4⁸
C) 4⁶
D) 4³
Answer: A) 4²

About Me

                                                                    || Shree ||

 

 

 

 

My name is Mangesh joshi . I am Diploma Holder in Mechanical Engineering. Presently i teach Maths to 5 , 6, 7 standard students ( Maharashtra Board , C B S E  board )(offline, ).

 i am interested to teach maths online with M  C Q .For this you just need cell phone or PC at home.

25 Questions on Number system

                                                                       || Shree ||

Here are 25 unique and simple multiple-choice questions (MCQs) on the Number System for school competitive exams:

1. What is the smallest prime number?

A) 0
B) 1
C) 2
D) 3
Answer: C) 2

2. Which number is neither prime nor composite?

A) 0
B) 1
C) 2
D) 3
Answer: B) 1

3. The place value of 5 in 5,438 is:

A) 5
B) 50
C) 500
D) 5,000
Answer: D) 5,000

4. What is the LCM of 4 and 6?

A) 12
B) 24
C) 6
D) 18
Answer: A) 12

5. The HCF of 18 and 24 is:

A) 6
B) 12
C) 18
D) 24
Answer: A) 6

6. What is 111 in decimal form?

A) 1
B) 3
C) 7
D) 11
Answer: C) 7

7. Which of the following is a rational number?

A) √2
B) π
C) 4/5
D) √3
Answer: C) 4/5

8. The sum of the first five natural numbers is:

A) 10
B) 15
C) 20
D) 25
Answer: B) 15

9. Which number is an odd number?

A) 10
B) 20
C) 25
D) 30
Answer: C) 25

10. The number 0 is a:

A) Positive number
B) Negative number
C) Whole number
D) Prime number
Answer: C) Whole number

11. Which of the following is a perfect square?

A) 50
B) 81
C) 90
D) 99
Answer: B) 81

12. The smallest odd prime number is:

A) 1
B) 3
C) 5
D) 7
Answer: B) 3

13. What is the base of the decimal number system?

A) 2
B) 8
C) 10
D) 16
Answer: C) 10

14. What is the binary equivalent of the decimal number 5?

A) 10
B) 101
C) 100
D) 110
Answer: B) 101

15. The product of any two odd numbers is always:

A) Odd
B) Even
C) Prime
D) Composite
Answer: A) Odd

16. A number divisible by both 3 and 5 is always divisible by:

A) 2
B) 6
C) 15
D) 30
Answer: C) 15

17. What is the Roman numeral for 50?

A) X
B) L
C) C
D) D
Answer: B) L

18. The sum of two even numbers is always:

A) Odd
B) Even
C) Prime
D) Composite
Answer: B) Even

19. What is the largest 2-digit prime number?

A) 89
B) 97
C) 99
D) 91
Answer: B) 97

20. The number of digits in 10,000 is:

A) 4
B) 5
C) 6
D) 3
Answer: B) 5

21. Which of the following numbers is divisible by 9?

A) 123
B) 135
C) 147
D) 159
Answer: B) 135

22. If a number ends in 0, it is always divisible by:

A) 2
B) 5
C) 10
D) All of the above
Answer: D) All of the above

23. What is the sum of the digits of 456?

A) 14
B) 15
C) 16
D) 17
Answer: B) 15

24. The largest 3-digit number is:

A) 999
B) 1000
C) 998
D) 900
Answer: A) 999

25. How many prime numbers are there between 1 and 10?

A) 2
B) 3
C) 4
D) 5
Answer: C) 4