Question Detail

The average of four consecutive odd numbers is 24. Find the largest number.

Answer: Option B

Explanation:

Let the numbers are x, x+2, x+4, x+6, then
$\begin{aligned} => \frac{x+(x+2)+(x+4)+(x+6)}{4} = 24 \end{aligned}$

$\begin{aligned} => \frac{4x+12)}{4} = 24 \end{aligned}$

$\begin{aligned} => x+3 = 24 => x = 21 \end{aligned}$

So largest number is 21 + 6 = 27

1. A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match

Answer: Option D

Explanation:

Let the average after 17th match is x
then the average before 17th match is x-3

so 16(x-3) + 87 = 17x
=> x = 87 - 48 = 39

2. Average of all prime numbers between 30 to 50

37
37.8
39
39.8

Answer: Option D

Explanation:

Prime numbers between 30 and 50 are:
31, 37, 41, 43, 47

Average of prime numbers between 30 to 50 will be
$\begin{aligned} (\frac{31+37+41+43+47}{5}) = \frac{199}{5} = 39.8 \end{aligned}$

3. Average of five numbers is 27. If one number is excluded the average becomes 25. The excluded number is

Answer: Option A

Explanation:

Number is (5*27) - (4*25) = 135-100 = 35

4. The average of four consecutive odd numbers is 24. Find the largest number.

Answer: Option B

Explanation:

5. Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all

15.5
15
16
Cant be computed

Answer: Option D

Explanation:

As number of girls and boys is not given so result cant be computed

Tanvee 11 years ago

If its odd number then we need to to take x,x+1,x+3,x+5.... why we are taking even number?

mastguru 11 years ago replied

Hello Tanvee,
We are taking X as an odd number,
so, other consecutive odd number will be x+2 and another will x+4 and so on..
Lets say 1 is odd number, then next will 1+2 =3, 1+4 =5.. and so on.
In this way we are solving this problem.
Admin 12 years ago

Thanks Nagendar. It was a typing mistake. Question was about four consecutive odd numbers.
We appreciate your feedback.
nagendar 12 years ago

here x is an even number. but you got x=21(which is not even number). so consecutive even numbers are: 2x,2x+2,2x+4,2x+6.