EASY
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The average of five consecutive even numbers of set – P is 102. What is the average of another set – Q of five consecutive odd numbers whose lowest number is seven less than \( \frac{4}{7} \) th of lowest number of set – P?

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Important Questions on Averages

MEDIUM
The largest non-negative integer k such that 24k divides 13! is
EASY
Three-digit numbers are formed from the digits 1,2 and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?
MEDIUM
The number of distinct primes dividing 12!+13!+14! Is
HARD
For a real number r let r denote the largest integer less than or equal to r. Let a>1 a real number which is not an integer and k be the smallest positive integer such that ak>ak Then which of the following statement is always true?
MEDIUM
The average of x, y, z is 24, x:y =2:3, x+y=60, then find x-z.
HARD
For a real number r we denote by r the largest integer less than or equal to r. If x, y are real numbers with x, y 1 then which of the following statements is always true?
MEDIUM
How many natural numbers n are there such that n!+10 is a perfect square ?
EASY

1 USD = Rs. 67.89. A money changer adds a margin of Rs. 1.11. What will be the cost of 150 USD ? 

1. Rs. 10,183
2. Rs. 10,350
3. Rs. 10,330
4. Rs. 10,450

EASY

Average of three numbers B, C and D is 1 more than the average of A, B and C. Average of A and D is 19.5.

Quantity 1: Find A.

Quantity 2: 21.

MEDIUM
The average runs of a cricketer in a tournament, in which he played 14 matches, were 47. His average runs in the first seven matches were 57, and that in the last five matches were 44. If the runs made by him in 8th match was 15, how many run did he make in 9th match?
EASY

How many times does the number 3 occur in unit's place for numbers ranging from 1 to 100?

1. 20
2. 11
3. 10
4. 19

MEDIUM
A batsman played three matches in a tournament. The respective ratio between the scores of 1st and 2nd match was 5:4 and that between the scores of the 2nd and the 3rd match was 2:1. The difference between the 1st and 3rd match was 48 runs. What was the batsman’s average score in all the three matches?
EASY

The sum of three consecutive numbers is 126. Find the highest number-

1. 41
2. 42
3. 43
4. 44

HARD
The function f :NI defined by fx=x-5x5 , where N is the set of natural numbers and x denotes the greatest integer less than or equal to x, is:
EASY

Twice the difference between two numbers is equal to their sum. If one number is 15, Find the other number.

1. 15
2. 10
3. 5
4. 20 

EASY
The difference of the cubes of two consecutive numbers is 127. What are the numbers?
MEDIUM
If 59 is added to a square of a number, the result is 900. What is the number?
HARD
The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20 kg. If, the average weight of whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?
EASY
There are 5 consecutive odd numbers. If the difference between the square of the average of the first two odd numbers and the square of the average of the last two odd numbers is 588, what is the smallest odd number?
EASY
The average height of 16 students in a class is 142 cm. If the height of the teacher is added the average increases by 1 cm. What is the height of the teacher in cm?