Vedic Maths: Division for Class 6 Improve Your Calculations

Vedic Maths: Division - Question 1

Using the number splitting method, divide 846 by 2.

A. 423
B. 413
C. 433
D. 403

Detailed Solution: Question 1

Split 846 as 8|46. Divide each part by 2: 8 ÷ 2 = 4, 46 ÷ 2 = 23. Combine: 4|23 = 423. So, 846 ÷ 2 = 423.

Vedic Maths: Division - Question 2

Find 1596 ÷ 3 using the number splitting method.

A. 532
B. 522
C. 542
D. 512

Detailed Solution: Question 2

Split 1596 as 15|96. Divide each part by 3: 15 ÷ 3 = 5, 96 ÷ 3 = 32. Combine: 5|32 = 532. So, 1596 ÷ 3 = 532.

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Vedic Maths: Division - Question 3

Calculate 47 ÷ 9 using the division by 9 method.

A. 5 remainder 2
B. 5 remainder 1
C. 4 remainder 11
D. 5 remainder 3

Detailed Solution: Question 3

First digit (4) is quotient: 4 + 7 = 11 (remainder). Since 11 > 9, add 1 to quotient (4 + 1 = 5), subtract 9 from 11: 11 - 9 = 2. So, 47 ÷ 9 = 5 remainder 2.

Vedic Maths: Division - Question 4

Divide 582 ÷ 9 using the division by 9 method.

A. 64 remainder 6
B. 65 remainder 3
C. 64 remainder 5
D. 65 remainder 2

Detailed Solution: Question 4

Start with 5: 5. Then 5 + 8 = 13 (write 13). Then 13 + 2 = 15. Quotient: 5 + 13 = 18, but 15 has 9, so 18 + 1 = 19, 15 - 9 = 6. Adjust steps: 5, 5 + 8 = 13, 13 + 2 = 15 (6 remainder). Correct quotient: 64. So, 582 ÷ 9 = 64 remainder 6.

Vedic Maths: Division - Question 5

Find 1234 ÷ 99 using the division by 99 method.

A. 12 remainder 46
B. 12 remainder 56
C. 13 remainder 46
D. 12 remainder 36

Detailed Solution: Question 5

Split 1234 as 12|34. Step 1: 12. Step 2: 12 + 34 = 46 (remainder). So, 1234 ÷ 99 = 12 remainder 46.

Vedic Maths: Division - Question 6

Divide 1532 ÷ 98 using the division by 98 method (near 100).

A.
15 remainder 62
B.
15 remainder 72
C.
16 remainder 62
D.
15 remainder 52

Detailed Solution: Question 6

Step 1:
We note that 98 is near 100, so
98 = 100 – 2.

Step 2: Write the number in two parts (as per base 100)
Dividend = 1532
15|32
→ Left part (before last two digits) = 15
→ Right part (last two digits) = 32

Step 3:
We divide the left part by the divisor’s first part (approx base).
We’ll write working steps using the rule:
If divisor = (base – d)
Then, Divide = left part ÷ divisor, and
Add correction = quotient × d to right part.

Step 4:
Divisor = 98 → deficiency (d) = 2
Take Left Part (15) as a quotient.
Now multiply quotient (15) × deficiency (2) = 30

Step 5:
Add this correction (30) to right part (32):
32 + 30 = 62

Step 6:
So, the remainder = 62, and quotient = 15

Vedic Maths: Division - Question 7

Calculate 345 ÷ 88 using the division by 88 method (near 100).

A. 3 remainder 81
B. 4 remainder 81
C. 3 remainder 91
D. 4 remainder 71

Detailed Solution: Question 7

Split 345 as 3|45. 88 is 12 below 100. Step 1: 3. Step 2: 3 × 12 = 36, 36 + 45 = 81 (remainder). So, 345 ÷ 88 = 3 remainder 81.

Vedic Maths: Division - Question 8

Find 2589 ÷ 123 using the "Transpose and Apply" method (123 is near 100).

A. 21 remainder 6
B. 20 remainder 89
C. 21 remainder 16
D. 20 remainder 79

Detailed Solution: Question 8

123 is 23 above 100. Split 2589 as 25|89. Step 1: 25 ÷ 123 ≈ 20 (write 20). Step 2: 20 × 23 = 460, 589 - 460 = 129. Step 3: 1 × 23 = 23, 129 - 23 = 106 (adjust quotient to 21). Final: 21 × 123 = 2583, 2589 - 2583 = 6. So, 2589 ÷ 123 = 21 remainder 6.

Vedic Maths: Division - Question 9

Divide 678 ÷ 54 using the straight division method (flag digit 4).

A.
12 remainder 30
B.
13 remainder 28
C.
12 remainder 28
D.
13 remainder 30

Detailed Solution: Question 9

Step 1: Divide 54 into 67; it goes 1 time. Write 1, then subtract 67 − 54 = 13. Bring down 8 to get 138.
Step 2: Divide 54 into 138; it goes 2 times. Write 2, then subtract 138 − 108 = 30.

No more digits remain, so the quotient is 12 and the remainder is 30. Hence, 678 divided by 54 is 12 remainder 30.

Vedic Maths: Division - Question 10

Using the split method, calculate 4872 ÷ 2.

A. 2436
B. 2426
C. 2446
D. 2416

Detailed Solution: Question 10

Split 4872 as 48|72. Divide each by 2: 48 ÷ 2 = 24, 72 ÷ 2 = 36. Combine: 24|36 = 2436. So, 4872 ÷ 2 = 2436.

Vedic Maths: Division - Question 11

Divide 15025 ÷ 5 using the split method.

A. 3005
B. 3015
C. 3025
D. 2995

Detailed Solution: Question 11

Split 15025 as 15|02|5. Divide each by 5: 15 ÷ 5 = 3, 02 ÷ 5 = 0, 5 ÷ 5 = 1. Combine: 3|00|5 = 3005. So, 15025 ÷ 5 = 3005.

Vedic Maths: Division - Question 12

Find 82 ÷ 9 using the division by 9 method.

A. 9 remainder 1
B. 8 remainder 10
C. 9 remainder 2
D. 8 remainder 9

Detailed Solution: Question 12

First digit (8) as quotient: 8 + 2 = 10. Since 10 > 9, quotient = 8 + 1 = 9, remainder = 10 - 9 = 1. So, 82 ÷ 9 = 9 remainder 1.

Vedic Maths: Division - Question 13

Calculate 4567 ÷ 99 using the division by 99 method.

A. 46 remainder 13
B. 45 remainder 112
C. 46 remainder 23
D. 45 remainder 102

Detailed Solution: Question 13

Split 4567 as 45|67. Step 1: 45. Step 2: 45 + 67 = 112, 112 - 99 = 13 (adjust quotient to 46). So, 4567 ÷ 99 = 46 remainder 13.

Vedic Maths: Division - Question 14

Divide 789 ÷ 87 using the division by 87 method (near 100).

A. 9 remainder 6
B. 8 remainder 93
C. 9 remainder 16
D. 8 remainder 83

Detailed Solution: Question 14

Split 789 as 7|89. 87 is 13 below 100. Step 1: 7. Step 2: 7 × 13 = 91, 89 + 91 = 180 (adjust). Try 9: 9 × 13 = 117, 189 - 117 = 72 (remainder too high). Correct: 9 × 87 = 783, 789 - 783 = 6. So, 789 ÷ 87 = 9 remainder 6.

Vedic Maths: Division - Question 15

Using the straight division method, divide 345 by 62 (flag digit 2).

A. 5 remainder 35
B. 6 remainder 33
C. 5 remainder 45
D. 6 remainder 23

Detailed Solution: Question 15

62 with 2 flagged. Step 1: 6 into 34 ≈ 5 (write 5, 34 - 30 = 4). Step 2: 5 × 2 = 10, 45 - 10 = 35 (remainder). So, 345 ÷ 62 = 5 remainder 35.

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Vedic Maths: Division - Free MCQ Test with solutions for Class 6 Improve

MCQ Practice Test & Solutions: Vedic Maths: Division (15 Questions)

Using the number splitting method, divide 846 by 2.

Find 1596 ÷ 3 using the number splitting method.

Calculate 47 ÷ 9 using the division by 9 method.

Divide 582 ÷ 9 using the division by 9 method.

Find 1234 ÷ 99 using the division by 99 method.

Divide 1532 ÷ 98 using the division by 98 method (near 100).

Step 1:
We note that 98 is near 100, so
98 = 100 – 2.

Step 2: Write the number in two parts (as per base 100)
Dividend = 1532
15|32
→ Left part (before last two digits) = 15
→ Right part (last two digits) = 32

Step 3:
We divide the left part by the divisor’s first part (approx base).
We’ll write working steps using the rule:
If divisor = (base – d)
Then, Divide = left part ÷ divisor, and
Add correction = quotient × d to right part.

Step 4:
Divisor = 98 → deficiency (d) = 2
Take Left Part (15) as a quotient.
Now multiply quotient (15) × deficiency (2) = 30

Step 5:
Add this correction (30) to right part (32):
32 + 30 = 62

Step 6:
So, the remainder = 62, and quotient = 15

Calculate 345 ÷ 88 using the division by 88 method (near 100).

Find 2589 ÷ 123 using the "Transpose and Apply" method (123 is near 100).

Divide 678 ÷ 54 using the straight division method (flag digit 4).

Using the split method, calculate 4872 ÷ 2.

Divide 15025 ÷ 5 using the split method.

Find 82 ÷ 9 using the division by 9 method.

Calculate 4567 ÷ 99 using the division by 99 method.

Divide 789 ÷ 87 using the division by 87 method (near 100).

Using the straight division method, divide 345 by 62 (flag digit 2).

Improve Your Calculations: Vedic Maths (English)

Improve Your Calculations: Vedic Maths (English)

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Vedic Maths: Division - Free MCQ Test with solutions for Class 6 Improve

MCQ Practice Test & Solutions: Vedic Maths: Division (15 Questions)

Using the number splitting method, divide 846 by 2.

Find 1596 ÷ 3 using the number splitting method.

Calculate 47 ÷ 9 using the division by 9 method.

Divide 582 ÷ 9 using the division by 9 method.

Find 1234 ÷ 99 using the division by 99 method.

Divide 1532 ÷ 98 using the division by 98 method (near 100).

Step 1:We note that 98 is near 100, so98 = 100 – 2.

Step 2: Write the number in two parts (as per base 100)Dividend = 153215|32→ Left part (before last two digits) = 15→ Right part (last two digits) = 32

Step 3:We divide the left part by the divisor’s first part (approx base).We’ll write working steps using the rule:If divisor = (base – d)Then, Divide = left part ÷ divisor, andAdd correction = quotient × d to right part.

Step 4:Divisor = 98 → deficiency (d) = 2Take Left Part (15) as a quotient.Now multiply quotient (15) × deficiency (2) = 30

Step 5:Add this correction (30) to right part (32):32 + 30 = 62

Step 6:So, the remainder = 62, and quotient = 15

Calculate 345 ÷ 88 using the division by 88 method (near 100).

Find 2589 ÷ 123 using the "Transpose and Apply" method (123 is near 100).

Divide 678 ÷ 54 using the straight division method (flag digit 4).

Using the split method, calculate 4872 ÷ 2.

Divide 15025 ÷ 5 using the split method.

Find 82 ÷ 9 using the division by 9 method.

Calculate 4567 ÷ 99 using the division by 99 method.

Divide 789 ÷ 87 using the division by 87 method (near 100).

Using the straight division method, divide 345 by 62 (flag digit 2).

Improve Your Calculations: Vedic Maths (English)

Improve Your Calculations: Vedic Maths (English)

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Step 1:
We note that 98 is near 100, so
98 = 100 – 2.

Step 2: Write the number in two parts (as per base 100)
Dividend = 1532
15|32
→ Left part (before last two digits) = 15
→ Right part (last two digits) = 32

Step 3:
We divide the left part by the divisor’s first part (approx base).
We’ll write working steps using the rule:
If divisor = (base – d)
Then, Divide = left part ÷ divisor, and
Add correction = quotient × d to right part.

Step 4:
Divisor = 98 → deficiency (d) = 2
Take Left Part (15) as a quotient.
Now multiply quotient (15) × deficiency (2) = 30

Step 5:
Add this correction (30) to right part (32):
32 + 30 = 62

Step 6:
So, the remainder = 62, and quotient = 15