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Thursday, March 27, 2025

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.

Wednesday, March 26, 2025

25 Questions on Number system

Student learning in library young man preparing for test on laptop man listening to online course
                                                                       || 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

    Answers 44. The sum of two integers is –1500. If one of them is 599, find the other. Let the other number be x : 599 + x = − 1500 ⇒ x ...