Explanation

Each group moves one letter forward, while the last letter skips one position:

Observe each position separately:

1st letters: A → B → C → D

2nd letters: B → C → D → E

3rd letters: C → D → E → F

4th letters: E → F → G → H

Therefore:

ABCE → BCDF → CDEG → DEFH

Explanation

Cost Price (CP) = Rs. 800
Selling Price (SP) = Rs. 1,000

Gain = SP − CP

$$=1000-800=200$$

Gain % = (Gain ÷ CP) × 100

$$=$$200/800​×100

=25%

Last updated by NA on 09-0-2026

Explanation

Explanation

The speaker's mother has only one daughter.

That daughter is the speaker's sister.

The man's mother = speaker's sister.

Therefore, the woman is the man's sister.

Explanation

In the Tree of Rumour problem, one person passes the rumour to 2 other people every 5 minutes.

Therefore, the total number of people triples every 5 minutes.

0 minutes → 1 person

5 minutes → 3 persons

10 minutes → 9 persons

15 minutes → 27 persons

20 minutes → 81 persons

Using the formula:

3^20/5 =3^4 =81

Explanation

Find the differences:

6 − 2 = 4

12 − 6 = 6

20 − 12 = 8

30 − 20 = 10

42 − 30 = 12

The differences increase by 2 each time.

Next difference = 14

42+14=56

​

Explanation

Step 1: A 20% increase means the new number is 120% of the original.

120% of x = 360

Step 2:

120/100x = 360

Step 3:

x=360 x100/120

$$x=300$$

Explanation

The three interior angles of every triangle always add up to 180 degrees

Basic Geometry Formulas

Triangle

• Area = ½ × Base × Height
• Perimeter = a + b + c
• Sum of angles = 180°

Rectangle

• Area = Length × Width
• Perimeter = 2(Length + Width)

Square

• Area = Side²
• Perimeter = 4 × Side

Circle

• Area = πr²
• Circumference = 2πr

Triangle angle

• Interior angles = 180°

Last updated by NA on 09-09-2026

Explanation

• Value of Pi (π): Approximately 3.14159
• The value of π  (pi) is an irrational number
• Meaning it is a decimal that never ends and never settles into a repeating pattern

Last updated by NA on 09-09-2026

Explanation

Percentage=7​×1200/ 100

= 7 x 12
=84​