Explanation

This is an odd series 

 3 3 5 5 7 7 9 9 11 11 13 13....

Explanation

The sum of odd integers from 1 to 100 are - 1 + 3 + 5 + 7 + ……… + 99.

This is an Arithmetic Progression with the following parameters: First Number, a = 1 Last Number, l = 99 Common Difference, d = 2 So, the Number of terms in the Arithmetic Progression, n = (l - a)/d + 1 = (99 - 1)/2 + 1 = 98/2 + 1 = 49 + 1 = 50 So, the sum of the Arithmetic Progression, S = n/2(l + a) = 50/2(99 + 1) = 25 X 100 = 2500 So, the sum of odd integers from 1 to 100 = 2500

Explanation

From 6 → 9, we add 3.

From 9 → 12, we again add 3.

Following the same pattern:

12 + 3 = 15

Explanation

5 + 5 = 10 - 2 = 8

14 + 14 = 28 - 2 = 26

26 + 26 = 52 - 2 = 50

Explanation

4 + 9 = 13 + 49 = 62

6 + 2 = 8 + 62 = 70

70 + 7 = 77

14 + 77 = 91

10 + 91 = 101

Explanation

Step 1: Find the pattern

9 ÷ 3 = 3

27 ÷ 9 = 3

Each term is 3 times the previous term.

Step 2: Find the next number

Next number = 27 × 3 = 81

Explanation

Solution:

Sunday`s tomorrow = Monday

Day after Sunday`s tomorrow = Tuesday

Yesterday is five days before = Thursday

Today = Friday, so tomorrow = Saturday

Explanation

24 % of 2

Let 24 % of 2 = x

24 * 1/100 * 2 = x

48/100 = x

12/25 = x

x = 12/25 = 0.48

Explanation

In this type of question, We need to find out the LCM of the given numbers.

LCM of 12, 15, 18 and 20;

12=2×2×3;15=3×5;18=2×3×3;20=2×2×5;

Hence, LCM = 2×2×3×5×3

Since, the soldiers are in the form of a solid square.

Hence, LCM must be a perfect square. To make the LCM a perfect square, We have to multiply it by 5,

hence,

The required number of soldiers

= 2×2×3×3×5×5

= 900

Explanation