Question 1 of 36intermediate🔧 ApplyNumerical2 marks

At what number is 'idli-vada' said for the 10th time?

Correct Answer

Step 1: 'Idli-vada' is said for common multiples of 3 and 5.

Step 2: Common multiples of 3 and 5 are multiples of LCM(3, 5) = 15.

Step 3: The multiples of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150...

Step 4: The 10th multiple of 15 is 15×1015 \times 10 = 150.

Answer: The 10th time 'idli-vada' is said is at the number 150.

Exercise: Figure it Out (Section 1) | Q: 1 | (Page Page 2)
For More Understanding

Explanation

'Idli-vada' is said for numbers that are common multiples of 3 and 5, which are multiples of 15 (LCM of 3 and 5). The common multiples of 3 and 5 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150. The 10th multiple of 15 is 15×1015 \times 10 = 150.

Solution Steps

  1. Step 1: 'Idli-vada' is said for common multiples of 3 and 5.

  2. Step 2: Common multiples of 3 and 5 are multiples of LCM(3,5) = 15.

  3. Step 3: The multiples of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150...

  4. Step 4: The 10th multiple of 15 is 15×1015 \times 10 = 150.

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