Explanation

TD = (P × R × T)/100

160 = (1760 × 12 × T)/(100 × 12)

T = (160 × 100 × 12)/(1760 × 12)

= 100/11 years

= 100/11 × 12 months

= 109.09 months ≈ 10 months (approx)

Last verified on 17-01-2026

Explanation

Last year income ratio: A:B:C = 3:4:5 = 12:16:20

Last year : Current year income ratio:

A = 4:5

B = 2:3

C = 3:4

Current income ratio:

A:B:C = (12/4 × 5) : (16/2 × 3) : (20/3 × 4)

= 15 : 24 : 80/3

= 45 : 72 : 80

Total = 45 + 72 + 80 = 197 parts

A's current income = (45/197) × 98500

= 22500

Last verified on 17-01-2026

Explanation

• The square of standard deviation is called variance.
• Standard deviation measures how much data deviates from the mean.
• Variance helps in understanding data spread or dispersion in statistics.

Additional information:

• Formula: Variance (σ²) = (Standard Deviation)²
• Range = Difference between largest and smallest values.

Last verified on 16-01-2026

Explanation

Girls: 900, Boys: 1100, Total: 2000

Boys passed: 50% of 1100 = 550

Girls passed: 40% of 900 = 360

Total passed: 550 + 360 = 910

Total failed: 2000 - 910 = 1090

Failure percentage: (1090/2000) × 100 = 54.5%

Last verified on 16-01-2026

Explanation

6 + 5 = 11

11 + 7 = 18

18 + 9 = 27

Pattern: +5, +7, +9

Last verified on 16-01-2026

Explanation

A+B = 60

B+C = 64

C+A = 68

Add 'em up:

2(A+B+C) = 192

A+B+C = 96

C = (A+B+C) - (A+B)

= 96 - 60

= 36

Last verified on 16-01-2026

Explanation

5x - 15 = 60

5x = 60 + 15

5x = 75

x = 75/5

x = 15

Explanation

Explanation

1 gram = 1000 milligrams (mg)

Gram and milligram are metric system units of mass.

Commonly used for measuring precious metals, medicines, and chemicals.

Additional Details / Facts

1 kilogram = 1000 grams = 1,000,000 milligrams

Gold purity is often measured in karats along with weight in grams or milligrams

Metric system is internationally standard

Explanation

1 yard = 0.9144 meters

It is a unit of length used in the imperial system.

Commonly used in sports, construction, and measuring fabrics.

Additional Details / Facts

1 yard = 3 feet = 36 inches

Widely used in USA, UK, and some Commonwealth countries

Used for short distances and measurements in daily life