Question
The average of 18 numbers is 75.
The average of the first nine numbers and the last six numbers is 62.5 and 82.5, respectively. The 12th number is 34.3 more than 1.8 times the 10th number, which itself is 119.5 less than the 11th number. What is the value of the 11th number?Solution
ATQ,
Let 10th number is ‘x’ So, 12th number = 1.8 × x + 34.3 And, 11th number = x + 119.5 So, x + 1.8x + 34.3 + x + 119.5 = 18 × 75 – 9 × 62.5 – 6 × 82.5 = 292.5 Or, 3.8x = 138.7 Or, x = 36.5 So, 11th number = 36.5 + 119.5 = 156
A number n when divided by 6, leaves a remainder of 3. What will be the remainder when (n² +5n+8) is divided by 6?
If the 6-digit number 324a16 is completely divisible by 8, then the largest integer that can replace a is:
For how many positive integral values of 'p', the number '78292p' is divisible by 12?
A five-digit number 2A78B, is divisible by 55. What is the difference between the maximum and minimum possible value of (A-B)?
Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.
A six-digit number 27p5q8 is divisible by 36. What is the greatest possible value for (p×q)?
Find the largest 4-digit number divisible by 88.
If 45780x52 is divisible by 72, then find the sum of all possible values of 'x'.
Which of the following number is divisible by 8?
Which one of the following numbers is divisible by 11?
