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# Free Download Fully Solved NTS Guide in PDF By Dogar’s Unique for GRE, GAT, etc 2020

Median
Median refers to middle element
1. Find median of 11,34,12,21,12,25,14
Ans. Count the numbers. There are 7 numbers.
Arrange in ascending order
11 , 12 , 12 , 14 , 21 , 25 , 34
Middle element is 14. 14 is the answer

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2. In case of even numbers. Let 1,3,2,4,7,3,4,5
8 numbers are there arrange in ascending order
1,2,3,3,4,4,5,7
Middle numbers are 2 numbers in even case. 3 and 4 here. So 3+4/2 =

###### Fully Solved NTS Guide in PDF By Dogar’s Unique

MODE
Most repeating element in a given data is MODE
1. Find MODE of 44,43,54,44,32,43,56,54,44
Hence most repeating number is 44.

Average
Average = sum of quantities / number of quantities
1. Reeya obtained 65, 67, 76, 82 and 85 out of 100 in different
subjects, What will be the average.
Explanation:

(65+67+76+82+85) /5 =75

###### Fully Solved NTS Guide in PDF By Dogar’s Unique

2. Find average of first 4 multiples of 5?
Ans. 5 , 10 , 15 , 20
5+10+15+20 / 4 = 50 /4 = 12.5
Another method. 1st + last / 2
5+20 / 2 = 12.5

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3. Find the sum of first 30 natural numbers
Explanation:
Sum of n natural numbers

=n(n+1) / 2
Here n =30

=30(30+1) / 2
=30(31) / 2
=465

4. The average of four consecutive odd numbers is 24. Find the
largest number.
Explanation:
Let the numbers are , x+1, x+3, x+5,x+7
then

###### Fully Solved NTS Guide in PDF By Dogar’s Unique

 (x+1)+(x+3)+(x+5)+(x+7) / 4=24

 (x+1)+(x+3)+(x+5)+(x+7) = 24*4

 4x+16 = 96

=>4x = 80
X=20

So largest number is x+7 = 20 + 7 = 27

5. A batsman makes a score of 87 runs in the 17th inning and thus
increases his average by 3. Find his average after 17th inning?
Solution

###### Fully Solved NTS Guide in PDF By Dogar’s Unique

Let the average after 7th inning = x

Then average after 16th inning = x – 3

16(x-3)+87 = 17x

x = 87 – 48 = 39