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How many even numbers are there between 1 and 20 (both excluded)?

Class 6Playing with NumbersPlaying with Numbers
  • A18
  • B9
  • C8
  • D10

Step-by-Step Solution

Even numbers between 1 and 20: 2, 4, 6, 8, 10, 12, 14, 16, 18 — that is 9 numbers.
Answer: B) 9

Key idea: HCF and LCM — the two ends of common ground

**HCF** (Highest Common Factor) is the biggest number that divides both numbers — it sits at the *small* end of common factors. **LCM** (Least Common Multiple) is the smallest number both numbers divide — it sits at the *small* end of common multiples (which is the *big* side of factors). For Class 6, the simplest method is listing: write all the factors (or first several multiples) of each number and pick the right one. Faster methods come in Class 7.

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