Explanation

Total marks of 10 students = 10 × 80 = 800

Total marks of 15 students = 15 × 85 = 1275

Total marks of 5 new students = 1275 - 800 = 475

Last verified on 23-10-2026

Explanation

• A ratio is a comparison of two or more quantities of the same kind.
• Formula:
• Ratio = Quantity 1 : Quantity 2
• Example:
• If there are 2 boys and 3 girls, the ratio of boys to girls is 2 : 3.

Last verified on 23-10-2026

Explanation

Total of 3 ages = 17 + 16 + 12 = 45

New average = 20, for 4 people → Total = 20 × 4 = 80

Age of 4th person = 80 − 45 = 35

Last verified on 23-10-2026

Explanation

To find the Arithmetic Mean (Average):

Add the numbers: 10 + 20 + 30 + 40 + 50 = 150

Count the numbers: 5

Divide the sum by the count: 150/5 = 30

Last verified on 23-10-2026

Explanation

Explanation

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

Pattern: Multiply by 2 and add 2.

• 3 × 2 + 2 = 8
• 8 × 2 + 2 = 18
• 18 × 2 + 2 = 38
• 38 × 2 + 2 = 78
• 78 × 2 + 2 = 158

Last verified on 17-10-2026

Explanation

• Square Feet: 43,560 sq ft

Additional information:

• Square Yards: 4,840 sq yd
• Hectares: ~0.4047 hectares
• Square Meters: ~4,047 sq m

Last verified on 16-10-2026

Explanation

Logic: It's a synonyms chain that gets stronger.

Rule = Command = Dictate (to give an order)

Doze = Sleep = Hibernate (to sleep, but heavier each time)

Last verified on 13-10-2026