Question
What is the largest three-digit
number that leaves a remainder of 5 when divided by both 11 and 13? Call this number a. Additionally, what is the smallest four-digit number that is divisible by both 32 and 38? Call this number b. Determine the difference between b and a.Solution
ATQ, If a number leaves the same remainder when divided by two different numbers, then the number is the sum of a multiple of the two divisors and the remainder. Since, 11 × 13 = 143 And, 999 ÷ 143 ~ 6.98 So, largest 3 digit number that is multiple of 11 and 13 = 143 × 6 = 858 So, x = 858 + 5 = 863 Since, 'Q' is divisible by both 32 and 38. So, it must divisible by L.C.M of 32 and 38 = 608 So, smallest possible 4 digit number that is multiple of 608 = 608 × 2 = 1216 Therefore, required difference = 1216 - 863 = 353
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
(36.35 × 14.89) ÷ 8.78 = ? – 59.98
The average of 5 positive integers was initially computed as 30. However, it was discovered later that an error had occurred duri...
What approximate value will come in place of question (?) in the following given expression? You are not expected to calculate the exact value.
...(200.01% of 149.897) x 59.97 = ? × 179.98
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
20.57 ×28.04 ÷ ? + 254 = 429.06
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value....
