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Vedic Maths: Cubes & Cube Roots - Free MCQ Test with solutions for


MCQ Practice Test & Solutions: Vedic Maths: Cubes & Cube Roots (15 Questions)

You can prepare effectively for Class 6 Improve Your Calculations: Vedic Maths (English) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Vedic Maths: Cubes & Cube Roots". These 15 questions have been designed by the experts with the latest curriculum of Class 6 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 15

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Vedic Maths: Cubes & Cube Roots - Question 1

Find the cube root of 2744 using the Vedic Maths method.

Detailed Solution: Question 1

Split 2744 as 2|744. Last digit is 4, so unit digit is 4 (4³ = 64). First group 2 is between 1³ (1) and 2³ (8), take smaller: 1. Combine: 1|4 = 14. Check: 14³ = 2744. So, ∛2744 = 14.

Vedic Maths: Cubes & Cube Roots - Question 2

Calculate the cube root of 6859.

Detailed Solution: Question 2

Split 6859 as 6|859. Last digit is 9, so unit digit is 9 (9³ = 729). First group 6 is between 1³ (1) and 2³ (8), take smaller: 1. Combine: 1|9 = 19. Check: 19³ = 6859. So, ∛6859 = 19.

Vedic Maths: Cubes & Cube Roots - Question 3

What is the cube root of 17576?

Detailed Solution: Question 3

Split 17576 as 17|576. Last digit is 6, so unit digit is 6 (6³ = 216). First group 17 is between 2³ (8) and 3³ (27), take smaller: 2. Combine: 2|6 = 26. Check: 26³ = 17576. So, ∛17576 = 26.

Vedic Maths: Cubes & Cube Roots - Question 4

Find ∛912673 + ∛2744.

Detailed Solution: Question 4

∛912673: Split as 912|673, last digit 3 → unit 7 (3³ = 27), 912 between 9³ (729) and 10³ (1000) → 9, so 97. ∛2744: Split as 2|744, last digit 4 → unit 4, 2 between 1³ and 2³ → 1, so 14. Add: 97 + 14 = 107. So, ∛912673 + ∛2744 = 107.

Vedic Maths: Cubes & Cube Roots - Question 5

Calculate (14)³ using the Vedic Maths method for 12-19.

Detailed Solution: Question 5

For 14³: 1|4|16|64. Multiply: 4 × 2 = 8, 16 × 2 = 32. Write: 1|4|16|64, below 8|32. Add with balancing: 1|12|48|64 → 2744. So, 14³ = 2744.

Vedic Maths: Cubes & Cube Roots - Question 6

Find (17)³ using the Vedic Maths method for 12-19.

Detailed Solution: Question 6

For 17³: 1|7|49|343. Multiply: 7 × 2 = 14, 49 × 2 = 98. Write: 1|7|49|343, below 14|98. Add: 1|21|147|343 → 4913 (balancing). So, 17³ = 4913.

Vedic Maths: Cubes & Cube Roots - Question 7

Compute (33)³ using the Vedic Maths method for 22-99.

Detailed Solution: Question 7

For 33³: 27|27|27|27 (3³ = 27). Multiply: 27 × 2 = 54, 27 × 2 = 54. Write: 27|27|27|27, below 54|54. Add: 27|81|81|27 → 35937. So, 33³ = 35937.

Vedic Maths: Cubes & Cube Roots - Question 8

Calculate (44)³ using the Vedic Maths method for 22-99.

Detailed Solution: Question 8

For 44³: 64|64|64|64 (4³ = 64). Multiply: 64 × 2 = 128, 64 × 2 = 128. Write: 64|64|64|64, below 128|128. Add: 64|192|192|64 → 85184. So, 44³ = 85184.

Vedic Maths: Cubes & Cube Roots - Question 9

Find (31)³ using the Vedic Maths method for 21-91.

Detailed Solution: Question 9

For 31³: 27|9|3|1 (3³ = 27, 1³ = 1). Multiply: 9 × 2 = 18, 3 × 2 = 6. Write: 27|9|3|1, below 18|6. Add: 27|27|9|1 → 29791. So, 31³ = 29791.

Vedic Maths: Cubes & Cube Roots - Question 10

Compute (51)³ using the Vedic Maths method for 21-91.

Detailed Solution: Question 10

For 51³: 125|25|5|1 (5³ = 125, 1³ = 1). Multiply: 25 × 2 = 50, 5 × 2 = 10. Write: 125|25|5|1, below 50|10. Add: 125|75|15|1 → 132651. So, 51³ = 132651.

Vedic Maths: Cubes & Cube Roots - Question 11

Calculate (24)³ using the general two-digit method.

Detailed Solution: Question 11

For 24³: 8|18|48|64 (2³ = 8, 2² × 4 = 16, 4² × 2 = 32, 4³ = 64). Adjust: 8|36|96|64. Multiply: 36 × 2 = 72, 96 × 2 = 192. Write: 8|36|96|64, below 72|192. Add: 8|108|288|64 → 13824. So, 24³ = 13824.

Vedic Maths: Cubes & Cube Roots - Question 12

Find (35)³ using the general two-digit method.

Detailed Solution: Question 12

For 35³: 27|45|75|125 (3³ = 27, 3² × 5 = 45, 5² × 3 = 75, 5³ = 125). Multiply: 45 × 2 = 90, 75 × 2 = 150. Write: 27|45|75|125, below 90|150. Add: 27|135|225|125 → 42875. So, 35³ = 42875.

Vedic Maths: Cubes & Cube Roots - Question 13

Compute (13)³ using the Anurupyena Sutra method.

Detailed Solution: Question 13

13 = 1 + 3. (1 + 3)³ = 1³ + 3 × 1² × 3 + 3 × 3² × 1 + 3³ = 1 + 9 + 27 + 27 = 1|9|27|27. Add: 1|36|54|27 → 2197. So, 13³ = 2197.

Vedic Maths: Cubes & Cube Roots - Question 14

Calculate (25)³ using the square-then-multiply method.

Detailed Solution: Question 14

25² = 625 (2² + 2 × 5 × 2 + 5² = 4 + 20 + 25 = 49, adjust to 625). Then 625 × 25: 625 × (20 + 5) = 12500 + 3125 = 15625. So, 25³ = 15625.

Vedic Maths: Cubes & Cube Roots - Question 15

Find (42)³ using the Anurupyena Sutra method.

Detailed Solution: Question 15

42 = 4 + 2. (4 + 2)³ = 4³ + 3 × 4² × 2 + 3 × 2² × 4 + 2³ = 64 + 96 + 48 + 8 = 64|96|48|8. Add: 64|144|56|8 → 74088. So, 42³ = 74088.

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