50 UNIQUE M C Q ON MULTIPLICATION AND DIVISION OF INTEGERS

 

Sure! Here's a set of 50 unique multiple-choice questions (MCQs) on Multiplication and Division of Integers suitable for middle school or early high school level:

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🔢 Multiplication and Division of Integers - MCQs

1–10: Basic Multiplication

1. What is $-3 \times 4$?
   A) -12 B) 12 C) 7 D) -7
   Answer: A

2. $-7 \times -6 =$
   A) -42 B) 13 C) 42 D) 0
   Answer: C

3. $5 \times -8 =$
   A) -40 B) 40 C) -13 D) 13
   Answer: A

4. What is $0 \times -9$?
   A) -9 B) 0 C) 9 D) Undefined
   Answer: B

5. $-12 \times -1 =$
   A) 12 B) -12 C) -1 D) 0
   Answer: A

6. $15 \times 0 =$
   A) 15 B) -15 C) 0 D) 1
   Answer: C

7. What is $9 \times -7$?
   A) 63 B) -63 C) -16 D) 16
   Answer: B

8. $-10 \times 3 =$
   A) -30 B) 30 C) -13 D) 13
   Answer: A

9. $-11 \times -11 =$
   A) -121 B) 0 C) 121 D) 111
   Answer: C

10. $6 \times -6 =$
    A) 36 B) -36 C) 0 D) -12
    Answer: B

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11–20: Basic Division

11. $-24 \div 6 =$
    A) -4 B) 4 C) 0 D) -6
    Answer: A

12. $-36 \div -9 =$
    A) 4 B) -4 C) 3 D) 9
    Answer: C

13. $45 \div -5 =$
    A) 9 B) -9 C) 0 D) -5
    Answer: B

14. $0 \div 8 =$
    A) 0 B) 1 C) 8 D) Undefined
    Answer: A

15. $36 \div 9 =$
    A) 5 B) -4 C) 4 D) -3
    Answer: C

16. $-48 \div 8 =$
    A) 6 B) -6 C) -8 D) 8
    Answer: B

17. $56 \div -7 =$
    A) 8 B) -8 C) 9 D) -9
    Answer: B

18. $-30 \div -5 =$
    A) 5 B) -6 C) 6 D) -5
    Answer: C

19. $81 \div 9 =$
    A) -9 B) 9 C) 1 D) 0
    Answer: B

20. $49 \div 7 =$
    A) 6 B) 8 C) 7 D) 0
    Answer: C

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21–30: Word Problems

21. A company loses $8 per day for 6 days. What is the total loss?
    A) -48 B) 48 C) -14 D) -6
    Answer: A

22. If a submarine dives 50 meters every minute for 4 minutes, how far did it dive?
    A) -100 B) -200 C) -150 D) 200
    Answer: B

23. A temperature drops 5°C every hour for 7 hours. What is the change?
    A) -35°C B) 35°C C) -12°C D) 12°C
    Answer: A

24. If $-72 \div 8 = x$, what is the value of x?
    A) -8 B) -9 C) 9 D) 8
    Answer: B

25. Mike earned $40 per day for 5 days. What is his total earnings?
    A) -200 B) 200 C) 40 D) 0
    Answer: B

26. A team lost 12 points each game over 3 games. What is the total point loss?
    A) -36 B) 36 C) -12 D) 12
    Answer: A

27. A plane ascends at 300 meters per minute for 3 minutes. How high does it go?
    A) 600 m B) -600 m C) 900 m D) 300 m
    Answer: C

28. If a number multiplied by -6 is 42, what is the number?
    A) -7 B) 7 C) 6 D) -6
    Answer: A

29. A hiker descends 100 meters every hour for 5 hours. What is the total descent?
    A) 500 m B) -500 m C) 400 m D) -400 m
    Answer: B

30. The product of a number and -9 is -81. What is the number?
    A) 9 B) -9 C) -81 D) 0
    Answer: A

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31–40: Fill in the Blank Style (with options)

31. $-5 \times \_ = 35$
    A) 6 B) -7 C) 7 D) -6
    Answer: C

32. $56 \div \_ = -7$
    A) 8 B) -8 C) -6 D) -7
    Answer: B

33. $\_ \times -3 = 27$
    A) -9 B) 9 C) -3 D) 3
    Answer: A

34. $\_ \div 9 = -4$
    A) -36 B) 36 C) -45 D) 45
    Answer: C

35. $64 \div -8 =$
    A) 8 B) -8 C) -16 D) 16
    Answer: B

36. $-6 \times \_ = -48$
    A) 6 B) -8 C) 8 D) -6
    Answer: C

37. $-99 \div \_ = 11$
    A) -9 B) -11 C) 9 D) 11
    Answer: B

38. $\_ \times -10 = -100$
    A) -10 B) 10 C) 100 D) -100
    Answer: B

39. $-14 \times 0 =$
    A) -14 B) 0 C) 14 D) Undefined
    Answer: B

40. $0 \div -2 =$
    A) 0 B) 2 C) -2 D) Undefined
    Answer: A

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41–50: Mixed Practice & Challenge

41. Which of the following equals 100?
    A) $-10 \times -10$ B) $10 \times -10$ C) $-5 \times 20$ D) $0 \div 10$
    Answer: A

42. $-144 \div -12 =$
    A) 12 B) -12 C) 10 D) -10
    Answer: A

43. $-5 \times -5 \times -5 =$
    A) 125 B) -125 C) 25 D) -25
    Answer: B

44. What is the result of dividing zero by any non-zero integer?
    A) The same integer B) Zero C) One D) Undefined
    Answer: B

45. $36 \div (-6) \times (-2) =$
    A) -12 B) 12 C) -6 D) 6
    Answer: B

46. Which of the following is positive?
    A) $-7 \times 6$ B) $-9 \times -2$ C) $-3 \div 3$ D) $-4 \times 0$
    Answer: B

47. $(-4) \times (-2) \times (-1) =$
    A) 8 B) -8 C) 4 D) -4
    Answer: B

48. $100 \div (-25) =$
    A) -4 B) 4 C) -5 D) 5
    Answer: C

49. Which of the following has the greatest value?
    A) $-5 \times 2$ B) $-10$ C) $-2 \times -3$ D) $-1 \times -4$
    Answer: C

50. $-8 \div (-2) \times 3 =$
    A) -12 B) 12 C) -4 D) 4
    Answer: B

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50 Unique M C Q on whole numbers

 

Sure! Here's a set of 50 Multiple Choice Questions (MCQs) on the topic of "Whole Numbers – Basics" suitable for Class 6 level. Each question includes 4 options, and the correct answer is marked with ✅ for easy reference.

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📘 Whole Numbers – 50 MCQs

🔢 Basic Concepts

1. Which is the smallest whole number?
   a) 1
   b) 0 ✅
   c) -1
   d) 10

2. Whole numbers start from:
   a) -10
   b) 1
   c) 0 ✅
   d) 2

3. Which of the following is a whole number?
   a) -2
   b) 8 ✅
   c) 0.5
   d) -1.2

4. Whole numbers do not include:
   a) 0
   b) 1
   c) Negative numbers ✅
   d) 10

5. The successor of 99 is:
   a) 100 ✅
   b) 98
   c) 101
   d) 90

6. The predecessor of 57 is:
   a) 56 ✅
   b) 58
   c) 55
   d) 60

7. Which of these is NOT a whole number?
   a) 0
   b) 12
   c) -5 ✅
   d) 100

8. The successor of a whole number ‘n’ is:
   a) n
   b) n + 1 ✅
   c) n – 1
   d) n × 2

9. Which of the following is the predecessor of 1?
   a) 2
   b) 0 ✅
   c) 1
   d) -1

10. What is the predecessor of 0?
    a) Does not exist in whole numbers ✅
    b) 1
    c) -1
    d) 10

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🧮 Operations on Whole Numbers

11. 5 + 0 = ?
    a) 0
    b) 5 ✅
    c) 1
    d) 10

12. 0 × 76 = ?
    a) 0 ✅
    b) 76
    c) 1
    d) 760

13. 8 × 1 = ?
    a) 8 ✅
    b) 0
    c) 1
    d) 9

14. The identity for addition in whole numbers is:
    a) 1
    b) 0 ✅
    c) 10
    d) 100

15. The identity for multiplication in whole numbers is:
    a) 1 ✅
    b) 0
    c) 10
    d) 100

16. (9 × 5) + (9 × 2) = ?
    a) 63
    b) 9 × (5 + 2) ✅
    c) 90
    d) 25

17. Is subtraction closed for whole numbers?
    a) Yes
    b) No ✅
    c) Sometimes
    d) Only with 0

18. Is addition closed for whole numbers?
    a) Yes ✅
    b) No
    c) Only with 0
    d) Only with 1

19. Which operation is not always possible with whole numbers?
    a) Addition
    b) Multiplication
    c) Subtraction ✅
    d) All are always possible

20. Which of the following shows the distributive property?
    a) a × (b + c) = a × b + a × c ✅
    b) a + b = b + a
    c) a × b = b × a
    d) (a + b) + c = a + (b + c)

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🧠 Properties of Whole Numbers

21. Whole numbers are closed under:
    a) Subtraction
    b) Multiplication ✅
    c) Division
    d) None

22. Which of the following is associative?
    a) (a + b) + c = a + (b + c) ✅
    b) a – b = b – a
    c) a ÷ b = b ÷ a
    d) a – (b – c) = (a – b) – c

23. Which of the following shows commutativity?
    a) a + b = b + a ✅
    b) a – b = b – a
    c) a ÷ b = b ÷ a
    d) a × 0 = 0

24. Is multiplication commutative for whole numbers?
    a) Yes ✅
    b) No
    c) Only for even numbers
    d) Only for 0

25. Is division closed under whole numbers?
    a) Yes
    b) No ✅
    c) Sometimes
    d) Always

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🔁 Patterns and Tricks

26. If a number is multiplied by 0, the result is always:
    a) 0 ✅
    b) That number
    c) 1
    d) 10

27. Which number is the additive identity in whole numbers?
    a) 0 ✅
    b) 1
    c) 10
    d) 100

28. Which of the following is an even whole number?
    a) 11
    b) 17
    c) 8 ✅
    d) 9

29. The product of two whole numbers is always a:
    a) Whole number ✅
    b) Decimal
    c) Fraction
    d) Negative number

30. Which whole number lies between 45 and 47?
    a) 46 ✅
    b) 44
    c) 48
    d) 49

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📏 Application Questions

31. A shop has 0 candies. If 5 people come, each taking 0, how many are left?
    a) 0 ✅
    b) 5
    c) 10
    d) None

32. How many whole numbers lie between 12 and 18?
    a) 6
    b) 5 ✅
    c) 4
    d) 7

33. If a = 6, b = 4, what is (a + b) – b?
    a) 6
    b) 10
    c) 6 ✅
    d) 4

34. If x = 5, y = 3, then x × y = ?
    a) 15 ✅
    b) 8
    c) 2
    d) 0

35. Is 0 a natural number?
    a) Yes
    b) No ✅
    c) Only sometimes
    d) None of the above

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🔠 True/False Style Concept Questions

36. Every natural number is a whole number.
    a) True ✅
    b) False
    c) Depends on number
    d) None

37. Every whole number is a natural number.
    a) True
    b) False ✅
    c) Depends
    d) None

38. 0 is the only whole number which is not a natural number.
    a) True ✅
    b) False
    c) All numbers
    d) None

39. There is a largest whole number.
    a) True
    b) False ✅
    c) Maybe
    d) Only 1000

40. Whole numbers continue forever.
    a) True ✅
    b) False
    c) Ends at 100
    d) Ends at 1000

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📝 Miscellaneous

41. The number that does not change any number when added is:
    a) 0 ✅
    b) 1
    c) 10
    d) -1

42. How many whole numbers are there between 1 and 10?
    a) 10
    b) 8
    c) 9 ✅
    d) 5

43. Which number is not divisible by any other number except 1 and itself?
    a) 6
    b) 10
    c) 7 ✅
    d) 4

44. If a × 1 = a, then a is:
    a) Zero
    b) Negative
    c) Any whole number ✅
    d) Decimal

45. What is 5 × 4 × 0 × 3?
    a) 0 ✅
    b) 60
    c) 5
    d) 20

46. Choose the correct multiplication property: a × 1 = a
    a) Distributive
    b) Multiplicative identity ✅
    c) Associative
    d) Commutative

47. What is 7 + 0 + 3?
    a) 10 ✅
    b) 7
    c) 0
    d) 3

48. Which number gives the same result when added to 0?
    a) Any whole number ✅
    b) Only 1
    c) Only 10
    d) Only even numbers

49. The value of (2 + 3) + 4 is same as:
    a) (2 + 4) + 3
    b) 2 + (3 + 4) ✅
    c) 2 × (3 + 4)
    d) None

50. Division by 0 is:
    a) Zero
    b) One
    c) Not defined ✅
    d) Infinity

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25 UNIQUE M C Q ON KNOWING OUR NUMBERS

 

Sure! Here's a unique set of 25 multiple choice questions (MCQs) based on the Class 6 Mathematics chapter "Knowing Our Numbers". Each question comes with four options, and the correct answer is marked for your convenience.

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🧠 Knowing Our Numbers – Class 6 MCQs

1. What is the place value of 5 in 45,682?
   a) 50
   b) 5
   c) 500 ✅
   d) 5,000

2. Which is the smallest 6-digit number?
   a) 100,000 ✅
   b) 999,999
   c) 10,000
   d) 1,000

3. The predecessor of 10,000 is:
   a) 10,001
   b) 10,100
   c) 9,999 ✅
   d) 9,990

4. What is the face value of 7 in 76,543?
   a) 7,000
   b) 70,000
   c) 7 ✅
   d) 700

5. How many thousands are there in 1 lakh?
   a) 10
   b) 100 ✅
   c) 1,000
   d) 1,00,000

6. Which of the following numbers is greater?
   a) 99,999
   b) 1,00,000
   c) 1,00,001 ✅
   d) 99,000

7. Which digit is at the ten thousand’s place in 7,38,129?
   a) 3 ✅
   b) 7
   c) 8
   d) 1

8. Roman numeral for 50 is:
   a) X
   b) L ✅
   c) V
   d) C

9. How many lakhs make a million?
   a) 1
   b) 10 ✅
   c) 100
   d) 1,000

10. Read the number 4,56,789 in words (Indian system):
    a) Four lakh fifty-six thousand seven hundred eighty-nine ✅
    b) Forty-five lakh six thousand seven hundred eighty-nine
    c) Four million five hundred sixty-seven thousand eight hundred ninety
    d) Four thousand five hundred sixty-seven

11. Which is the smallest number among these?
    a) 7,32,100
    b) 7,23,100
    c) 7,13,200
    d) 7,03,100 ✅

12. The Roman numeral ‘XL’ stands for:
    a) 90
    b) 40 ✅
    c) 60
    d) 50

13. How many 100s are there in 10,000?
    a) 10
    b) 100 ✅
    c) 1,000
    d) 10,000

14. The difference between the greatest and smallest 4-digit number is:
    a) 9999 – 1000 = ?
    b) 8999 ✅
    c) 8990
    d) 9990

15. In the number 2,34,567 which digit is at the thousand’s place?
    a) 2
    b) 3
    c) 4 ✅
    d) 5

16. Which is the correct expanded form of 4,205?
    a) 4000 + 200 + 5 ✅
    b) 400 + 20 + 5
    c) 4000 + 20 + 5
    d) 400 + 200 + 5

17. 1 crore is equal to:
    a) 10,00,000
    b) 1,00,000
    c) 1,00,00,000 ✅
    d) 10,00,00,000

18. Which is greater: 9 lakh or 90 thousand?
    a) 9 lakh ✅
    b) 90 thousand
    c) Both are equal
    d) Can’t be compared

19. The numeral for six lakh five thousand is:
    a) 6,50,000
    b) 6,05,000 ✅
    c) 6,005
    d) 65,000

20. The number 800 less than 9,000 is:
    a) 9,800
    b) 8,200 ✅
    c) 7,800
    d) 8,800

21. Arrange in ascending order: 56,789; 45,678; 67,890; 34,567
    a) 34,567 < 45,678 < 56,789 < 67,890 ✅
    b) 45,678 < 34,567 < 56,789 < 67,890
    c) 67,890 < 56,789 < 45,678 < 34,567
    d) 34,567 < 56,789 < 45,678 < 67,890

22. What comes after 99,999?
    a) 99,998
    b) 1,00,000 ✅
    c) 1,00,001
    d) 99,100

23. Place value of 9 in 91,384 is:
    a) 90,000 ✅
    b) 9,000
    c) 900
    d) 9

24. Which number is formed by 2 lakhs, 3 thousands, and 45 units?
    a) 2,034
    b) 2,30,045
    c) 2,03,045 ✅
    d) 23,045

25. What is the value of 7 in 7,00,000?
    a) 7 lakh ✅
    b) 7 thousand
    c) 70,000
    d) 700

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25 Unique M C Q on H C F and L C M for school competative exams

 

Basic Questions:

1. Find the HCF of 24 and 36.

2. Find the LCM of 15 and 20.

3. The HCF of two numbers is 12, and their LCM is 180. If one number is 36, find the other.

4. Find the HCF of 72, 108, and 144.

5. Find the LCM of 8, 12, and 15.

6. Two numbers have HCF = 6 and LCM = 120. If one number is 30, find the other.

7. The sum of two numbers is 50, and their HCF is 5. What is the possible LCM?

8. Find the LCM of the first five prime numbers.

9. Find the HCF of 120 and 180 using the prime factorization method.

10. The product of two numbers is 540, and their HCF is 6. Find their LCM.

Intermediate-Level Questions:

11. The HCF of 16 and 28 is 4. What is their LCM?

12. The LCM of two co-prime numbers is 117. What is their HCF?

13. The HCF of three numbers is 3, and their LCM is 252. Find the missing number if two of them are 9 and 14.

14. Find the smallest number that is exactly divisible by 9, 12, and 18.

15. The LCM of 72 and 90 is 360. Find their HCF.

16. Three bells ring at intervals of 4, 6, and 8 minutes. After how many minutes will they ring together?

17. If the HCF of two numbers is 18 and their LCM is 540, find the product of the numbers.

18. The LCM of two numbers is 84, and one number is 12. Find the other number if their HCF is 4.

19. A number when divided by 6, 9, and 15 leaves a remainder of 3 in each case. Find the smallest such number.

20. The product of two numbers is 168, and their HCF is 4. Find their LCM.

Advanced-Level Questions:

21. Find the greatest number that will divide 125, 150, and 200 exactly.

22. Find the least number which is exactly divisible by 4, 5, and 6 but leaves a remainder of 3 when divided by 7.

23. A gardener plants 36, 48, and 60 trees in three different rows. Find the maximum number of rows possible if the same number of trees is to be planted in each row.

24. Find the LCM of the fractions 2/3, 3/4, and 5/6.

25. Find the HCF of the fractions 8/9, 12/15, and 16/25.

     

     

    Here are the answers to all 25 questions on HCF and LCM:

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    Basic Questions:

26. HCF of 24 and 36 = 12

27. LCM of 15 and 20 = 60

28. HCF × LCM = Product of numbers → $12 \times 180 = 36 \times x$ → $x = 60$

29. HCF of 72, 108, 144 = 36

30. LCM of 8, 12, and 15 = 120

31. HCF × LCM = Product of numbers → $6 \times 120 = 30 \times x$ → $x = 24$

32. Possible LCMs: Any multiple of (50 ÷ 5) = 10, so possible LCM = 10, 20, 30, etc.

33. LCM of first five prime numbers (2,3,5,7,11) = 2310

34. HCF of 120 and 180 (Prime factorization method): $120 = 2^3 \times 3 \times 5$, $180 = 2^2 \times 3^2 \times 5$ → HCF = $2^2 \times 3 \times 5 = 60$

35. LCM = (Product of numbers) / HCF → $540 / 6 = 90$

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Intermediate-Level Questions:

11. LCM = (Product of numbers) / HCF → $(16 × 28) / 4 = 112$

12. HCF of two co-prime numbers is always 1.

13. HCF × LCM = Product of numbers → $3 \times 252 = 9 \times 14 \times x$ → $x = 6$

14. LCM of 9, 12, 18 = 36

15. HCF of 72 and 90 (Using prime factorization) = 18

16. LCM of 4, 6, and 8 = 24 minutes

17. Product of two numbers = HCF × LCM → $18 \times 540 = 9720$

18. Other number = (LCM × HCF) / Given number → $(84 × 4) / 12 = 28$

19. LCM of 6, 9, and 15 = 90, adding remainder 3 → 93

20. LCM = (Product of numbers) / HCF → $168 / 4 = 42$

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Advanced-Level Questions:

21. HCF of 125, 150, and 200 = 25

22. LCM of 4, 5, and 6 = 60, required number = 60 × k + 3 (Check divisibility by 7) → Smallest number = 123

23. HCF of 36, 48, 60 (to divide into equal rows) = 12 rows

24. LCM of fractions = LCM (Numerators) / HCF (Denominators)

• LCM of 2, 3, 5 = 30

• HCF of 3, 4, 6 = 1

• LCM = 30/1 = 30

25. HCF of fractions = HCF (Numerators) / LCM (Denominators)

• HCF of 8, 12, 16 = 4

• LCM of 9, 15, 25 = 225

• HCF = 4/225

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Now you have all the answers! Let me know if you need explanations for any. 😊🔥