Explanation

Given sequence: 4, 11, 7, 14, 10, 17, __, 20

Two alternating series are used:

First series: 4 → 7 → 10 → 13 (+3 each time)

Second series: 11 → 14 → 17 → 20 (+3 each time)

Missing number: 13

Explanation

A coin has 2 possible outcomes each time:

• Head (H)
• Tail (T)

If the coin is flipped 3 times, the total possible outcomes are:

2^3 = 8 

The possible outcomes are:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Only one outcome gives 3 heads: HHH.

Therefore:

Formula

P(3 heads)=Favourable outcomes​/Total outcome=1/8

1/8=0.125 or 12.5%

Explanation

Let the number be x.

3% of x = 60

3/100 x X = 60

X= 60 x 1000/3

$$x = frac{60 times 100}{3}$$ x=2000

Last updated 06 Nov 2026 by NA
​

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

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

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

$$x=300$$

$$Last\; updated\; 08\; Nov\; 2026\; by\; NA$$

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​

Explanation

Given:

• Selling Price (SP) = Rs. 1,200
• Profit = 7%

Formula:

SP=CP×107/100

CP=1200×100/107

CP=1121.50

Last updated by NS on 06-09-2026​