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Arjun is hunting for a number that 4 divides exactly while 8 does not. Which of these four numbers is it?

Class 6Playing with NumbersPlaying with Numbers
  • A128
  • B152
  • C200
  • D116

Step-by-Step Solution

The last two digits of 116 are 16 and 16 ÷ 4 = 4, so 4 divides it ; but 116 ÷ 8 = 14 remainder 4. The trap is assuming that passing the 4-test drags the 8-test along with it — and all clear both tests.
Answer: D) 116

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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