Number tricks, pyramids and everyday puzzles become easier to follow when their steps are written as expressions. These MCQs with answers and explanations cover Class 8 Maths, Ganita Prakash Part 2, Chapter 6: Algebra Play. Practise decoding date tricks, finding missing pyramid entries, exploring calendar patterns and digit arrangements, and forming equations for ages, animal counts and profit. The later questions also explore sums of odd numbers and repeated doubling.
Class 8 Maths Ganita Prakash Part 2 Chapter 6 MCQs with Answers
Set 1: Number Tricks and Date Tricks MCQs (Questions 1–5)
Q1. A number is doubled, 4 is added, the result is divided by 2 and the original number is subtracted. What is the final result?
[A]. 4
[B]. 0
[C]. The original number
[D]. 2
Q2. A number is doubled, a fixed number is added, the result is divided by 2, and the original number is subtracted. Which fixed number makes the final result 5?
[A]. 2
[B]. 10
[C]. 5
[D]. 7
Q3. In a date trick, the month number M is multiplied by 5, then 6 is added. The result is multiplied by 4, then 9 is added. It is multiplied by 5, and the day number D is added. What is the final expression?
[A]. 100M + 33 + D
[B]. 100D + 165 + M
[C]. 100M + 165 + D
[D]. 20M + 165 + D
Q4. A date trick gives the final result 100M + 165 + D, where M is the month number and D is the day. If the result is 1390, which date was chosen?
[A]. 12 May
[B]. 13 September
[C]. 25 December
[D]. 25 January
Q5. A date trick gives the result 100M + 165 + D, where M is the month number and D is the day. Which date gives the result 1269?
[A]. 4 November
[B]. 9 December
[C]. 11 April
[D]. 24 December
Set 2: Number Pyramid Calculations and Expressions MCQs (Questions 6–10)
Q6. In a number pyramid, each entry is the sum of the two entries directly below it. The bottom row is 1, 9, 4 from left to right. What is the top number?
[A]. 19
[B]. 23
[C]. 14
[D]. 27
Q7. A three-row number pyramid has bottom row 12, c, 8 and top number 60. Each entry is the sum of the two directly below it. What is c?
[A]. 40
[B]. 10
[C]. 30
[D]. 20
Q8. A three-row number pyramid has bottom row a, b, c. Each entry is the sum of the two directly below it. Which expression gives the top number?
[A]. 2a + b + 2c
[B]. a + b + c
[C]. 2a + 2b + 2c
[D]. a + 2b + c
Q9. The bottom row of a three-row number pyramid is 4, 13, 8. Each entry is the sum of the two directly below it. What is the top number?
[A]. 38
[B]. 50
[C]. 34
[D]. 25
Q10. A four-row number pyramid has bottom row a, b, c, d. Each entry is the sum of the two directly below it. What is the top number?
[A]. a + 2b + 2c + d
[B]. 2a + 3b + 3c + 2d
[C]. a + b + c + d
[D]. a + 3b + 3c + d
Set 3: Number Pyramids, Calendar Patterns and Algebra Grids MCQs (Questions 11–15)
Q11. The first four Virahāṅka-Fibonacci numbers, 1, 2, 3, 5, form the bottom row of a four-row number pyramid. Each entry is the sum of the two directly below it. What is the top number?
[A]. 8
[B]. 34
[C]. 21
[D]. 13
Q12. In a calendar, dates increase by 1 across a row and by 7 down a column. A complete 2 × 2 block has top-left date a. What is the sum of its four dates?
[A]. 4a + 16
[B]. 4a + 8
[C]. 4a + 14
[D]. 2a + 16
Q13. In a calendar, dates increase by 1 across a row and by 7 down a column. The four dates in a complete 2 × 2 block add up to 40. What is the top-left date?
[A]. 6
[B]. 4
[C]. 8
[D]. 5
Q14. In an algebra grid, three identical squares have a total value of 27. Two identical circles and one square have a total value of 19. What is the value of one circle?
[A]. 10
[B]. 5
[C]. 8
[D]. 9
Q15. Two squares and one circle have a total value of 27. One square and two circles have a total value of 21. Identical shapes have equal values. What is the value of one square?
[A]. 5
[B]. 9
[C]. 6
[D]. 11
Set 4: Digit Arrangements and Reversed Numbers MCQs (Questions 16–20)
Q16. The digits 2, 3, and 5 are used once each to form a two-digit number multiplied by a one-digit number. What is the largest possible product?
[A]. 106
[B]. 156
[C]. 160
[D]. 115
Q17. The digits 3, 5, and 9 are used once each to form a two-digit number multiplied by a one-digit number. Which arrangement gives the largest product?
[A]. 95 × 3
[B]. 59 × 3
[C]. 93 × 5
[D]. 53 × 9
Q18. Three different non-zero digits satisfy p < q < r. Each is used once to form a two-digit number multiplied by a one-digit number. Which expression gives the largest product?
[A]. (10r + q)p
[B]. (10q + p)r
[C]. (10r + p)q
[D]. (10p + q)r
Q19. A two-digit number has tens digit a and units digit b, with a > b. Its reversed number is subtracted from it. What is the quotient when the difference is divided by 9?
[A]. a − b
[B]. a + b
[C]. 9(a − b)
[D]. a × b
Q20. A two-digit number has tens digit a and units digit b. Which expression represents the sum of the number and its reversed form?
[A]. 100(a + b)
[B]. 9(a + b)
[C]. 11(a + b)
[D]. 11(a − b)
Set 5: Divisibility Patterns and Word Problems MCQs (Questions 21–25)
Q21. Three different non-zero digits a, b, c form the numbers 100a + 10b + c, 100b + 10c + a, and 100c + 10a + b. Their sum is always divisible by which pair of numbers?
[A]. 5 and 37
[B]. 9 and 11
[C]. 3 and 37
[D]. 7 and 13
Q22. A three-digit number N is repeated to form a six-digit number, such as 123123 from 123. The six-digit number is divided successively by 7, 11, and 13. What is the final result?
[A]. 13N
[B]. N
[C]. 7N
[D]. 1001N
Q23. A farm has only horses and hens. There are 55 heads and 150 legs. How many horses and hens are there?
[A]. 15 horses and 40 hens
[B]. 35 horses and 20 hens
[C]. 25 horses and 30 hens
[D]. 20 horses and 35 hens
Q24. A mother is 5 times her daughter’s age. After 6 years, the mother will be 3 times her daughter’s age. How old is the daughter now?
[A]. 6 years
[B]. 3 years
[C]. 12 years
[D]. 9 years
Q25. Naina has twice as many cows as Gauri. If Naina gives 3 cows to Gauri, they will have equal numbers. How many cows do Gauri and Naina have initially?
[A]. 6 and 12
[B]. 9 and 18
[C]. 12 and 24
[D]. 3 and 6
Set 6: Profit Calculations, Number Sums and Puzzles MCQs (Questions 26–30)
Q26. A dosa cart costs ₹5,000 per day to rent, and making each dosa costs ₹10. If 100 dosas are sold, what selling price per dosa gives a daily profit of ₹2,000?
[A]. ₹70
[B]. ₹80
[C]. ₹60
[D]. ₹50
Q27. A dosa cart costs ₹5,000 per day to rent. Each dosa costs ₹10 to make and sells for ₹50. How many dosas must be sold to earn a daily profit of ₹2,000?
[A]. 140
[B]. 200
[C]. 175
[D]. 125
Q28. For a positive integer n, S is the sum of the first n odd positive integers, and T is the sum of the next n odd positive integers. What is S/T?
[A]. 1/2
[B]. 1/3
[C]. 1/4
[D]. 2/3
Q29. Karim’s coins double each time he walks around a tree, after which he pays the genie 8 coins. After the third payment, he has no coins left. How many coins did he have initially?
[A]. 4
[B]. 6
[C]. 7
[D]. 8
Q30. At each of three shrines, a person first doubles all the flowers being carried and then offers the same positive whole number of flowers. No flowers remain after the third offering. What is the smallest possible number of flowers at the start?
[A]. 7
[B]. 8
[C]. 4
[D]. 6
Turn Each Puzzle into an Expression or Equation
Begin by naming the unknown and recording each operation in order. In digit puzzles, use place value; in calendar blocks, track the changes of 1 and 7. Keep fixed costs separate from costs per item in profit questions. After solving, substitute your answer into the original conditions to check that every step works.
