Explanation

5% of 5000 = (5/100) × 5000 = 250  

Salary after deduction = 5000 - 250 = 4750

Explanation

15% of 320 = (15/100) × 320 = 48

Explanation

Leg: Pants → Pants are worn on the leg.

Head: Hat → Hat is worn on the head.

 The analogy is valid and complete:

Leg: Pants:: Head: Hat

Explanation

- Cows: 3 × 4 = 12 legs  

- Chickens: 2 × 2 = 4 legs  

- Cats: 6 × 4 = 24 legs  

Total = 12 + 4 + 24 = 40 legs

Explanation

Odd positions (1st, 3rd, 5th):  

17, 51, 3  

- 17 × 3 = 51  

- 51 ÷ 17 = 3  

Pattern: ×3, ÷17

Even positions (2nd, 4th, 6th):  

2, 19, ?

- 19 − 2 = 17  

- So: 2 → +17 → 19  

- 19 → +38 → 57

Seems it's increasing by:  

+17, +38... (difference increasing by 21)

So the 6th number is 57

Explanation

(a² − b²) is a standard algebraic identity known as the difference of squares.

(a² − b²) = (a − b)(a + b)

Explanation

1/4 + ? = 3/4

Subtract 1/4 from both sides:

? = 3/4 − 1/4 = 2/4 = 1/2

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ND28-1-2023

Explanation

 From trigonometric identity:  

  tanθ = (p/h) ÷ (b/h) = p/b = sinθ / cosθ

Explanation

95, 90, 83, 74, ?

Now check the differences between terms:

- 95 → 90 = -5

- 90 → 83 = -7

- 83 → 74 = -9

The differences are increasing by -2 each time.

So next difference should be -11.

74 - 11 = 63

Explanation

The force necessary for rotary motion, or more specifically, circular motion, is centripetal force.