The middle number in the sequence of 5 consecutive even numbers is 5p. Express the other Class 8

The middle number in the sequence of 5 consecutive even numbers is 5p. Express the other Class 8

Question 1.

The middle number in the sequence of 5 consecutive even numbers is 5p. Express the other four numbers in sequence in terms of p. Class 8

Solution:

5p - 2, 5p - 1, 5p, 5p + 1 and 5p + 2.

Question 2.

Write a 6-digit number that it is divisible by 15, such that when the digits are reversed, it is divisible by 6. Class 8

Solution:

One such number is 212025. Answer is not unique.

Question 3.

Deepak claims, "There are some multiples of 11 which, when doubled, are still multiples of 11. But other multiples of 11 don’t remain multiples of 11 when doubled”. Examine if his conjecture is true; explain your conclusion. Class 8

Solution:

His claim is wrong, because double of any multiple of 11 will always remain a multiple of 11.