Explanation

Numbers up to 200 divisible by both 2 and 3 are multiples of 6.

6, 12, 18, 24, …, 198

Formula:

200 ÷ 6 = 33 remainder 2

Total numbers = 33

Explanation

Given:

Increment in number = 20% of the number

Decrement in number = 20% of the new number

Concept used:

Net increase or decrease percent = {(Original number or Final number) - (Final number or original number) ÷ Original number} × 100

Calculation:

Let the original number be 100

When the number is increased by 20%

New Number = 100 + 20% of 100

⇒ 100 + 20

⇒ 120

Now, the number is decreased by 20%

Final number = New number – 20% of new number

⇒ 120 – 20% of 120

⇒ 120 – 24

⇒ 96

∴ Net Decrease in percentage = { (100 – 96) / 100} × 100

⇒ {4/100} × 100

⇒ 4%

∴ The net decrease percentage is 4%.

Last verified on 11-07-2026

Explanation

Rate = 1350 dishes per 1 hour = 60 minutes

In 16 minutes:

Dishes = 1350 × (16 / 60)

= 1350 × 0.2666...

= 360

Last verified on 06-08-2026

Explanation

Area of circle = πr²  

Circumference = 2πr

Given: Area = 275 m²

1. Find radius r:

πr² = 275

r² = 275 / π = 275 / 3.1416 ≈ 87.54

r = √87.54 ≈ 9.356 m

2. Find circumference:

C = 2πr = 2 × 3.1416 × 9.356 ≈ 58.78 m

Last verified on 05-08-2026

Explanation

Series pattern is =6+9+12+15

6+6=12 is missing 

Explanation

Let the three consecutive numbers be: 

n, n+1, n+2

Sum = 78

n + (n+1) + (n+2) = 78

3n + 3 = 78

3n = 75

n = 25

So the numbers are: 25, 26, 27

The greatest number = 27

Last verified on 05-08-2026

Explanation

We can use tan to find the height.

Given:

Person's height = 1.6 m 

Distance from tower = 20 m

Angle of elevation = 45°

Let h = height of tower above the person's eye level.

In the right triangle:

tan(45°) = opposite / adjacent = h / 20

We know tan(45°) = 1

So: 

1 = h / 20

h = 20 m

This is the height from eye level to top of tower.

Total height of tower = h + person's height

= 20 m + 1.6 m 

= 21.6 m

Last verified on 05-08-2026

Explanation

Roman Number 51-100

51 - LI

52 - LII

53 - LII

54 - LIV

55 - LV

56 - LVI

57 - LVII

58 - LVIII

59 - LIX

60 - LX

61  - LXI

62 - LXII

63 - LXIII

64 - LXIV

100 - C

Last updated 18-07-2026 by NA

Explanation

• A trade surplus occurs when a country's exports are greater than its imports.
• It means the country sells more goods and services to other countries than it buys from them.
• Trade surplus increases foreign exchange earnings and can strengthen the economy.

Last verified on 01-07-2026

Explanation

Selling price = Cost + 10% profit

220 = Cost + 0.10 × Cost

220 = 1.10 × Cost

Cost = 220 / 1.10

= 200

Last verified on 30-03-2026