Cards numbered 1 to 1000 are placed in a box. A card is drawn at random.
How many of these cards bear a number that is a multiple of BOTH 6 and 8 (that is, divisible by their LCM)?

Question

Cards numbered 1 to 1000 are placed in a box. A card is drawn at random. How many of these cards bear a number that is a multiple of BOTH 6 and 8 (that is, divisible by their LCM)?

Accepted Answer

41. LCM(6, 8) = 24. Multiples of 24 up to 1000: 1000/24 = 41 (since 24 x 41 = 984 and 24 x 42 = 1008 > 1000).

Cards numbered 1 to 1000 are placed in a box. A card is drawn at random.
How many of these cards bear a number that is a multiple of BOTH 6 and 8 (that is, divisible by their LCM)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 HCF and LCM practice

Cards numbered 1 to 1000 are placed in a box. A card is drawn at random.How many of these cards bear a number that is a multiple of BOTH 6 and 8 (that is, divisible by their LCM)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 HCF and LCM practice

Cards numbered 1 to 1000 are placed in a box. A card is drawn at random.
How many of these cards bear a number that is a multiple of BOTH 6 and 8 (that is, divisible by their LCM)?