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Kavya has a swimming class on every date of this month that is a multiple of 7. On which day of the week is her class?

Class 6Playing with NumbersPlaying with Numbers
  • AWednesday
  • BThursday
  • CSaturday
  • DSunday

Step-by-Step Solution

The multiples of 7 are 7, 14, 21 and 28. Each is 7 days after the one before, so they all sit in the same column of the calendar: the 7th is a Wednesday, so all four are Wednesdays. (Thursday is the 1st; Saturday would be right only if the month began on Sunday.)
Answer: A) Wednesday

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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