Explanation

To find the greatest prime factor of 87:

Step 1: Factorize 87

87 = 3 × 29

Step 2: Identify the prime factors  

- 3 is a prime number  

- 29 is a prime number

Explanation

- Cost of 1 egg = 60 ÷ 9 = Rs. 6.67

- Cost of 3 eggs = 6.67 × 3

= Rs. 20

Explanation

To find 15% of 168:

= (15/100) × 168  

= 0.15 × 168  

= 25.2

Explanation

(7/8) × 96 = 84 

Explanation

Fe in a fused mixture of Al2O3, SiO2, and MgO is a highly suitable catalyst for ammonia synthesis;

This combination is often used as a support material for the iron catalyst in the Haber process, enhancing its activity and stability. 

Explanation

All numbers except 50 are perfect squares:

- 81 = 9²  

- 64 = 8²  

- 36 = 6²  

- 25 = 5²  

Explanation

Profit = Selling Price − Cost Price  

= 11,000 − 10,000 = 1,000

Profit % = (Profit / Cost Price) × 100  

= (1,000 / 10,000) × 100 = 10%

Explanation

 The centripetal force keeps an object moving in a circular path.  

- Its formula is F = mv² / r, where:  

  - m = mass of the object  

  - v = velocity  

  - r = radius of the circular path  

- It always acts towards the center of the circle.  

- Example: A stone tied to a string and rotated in a circle — the string provides centripetal force.

Explanation

Lemon is rich in Vitamin C, which helps boost immunity and improve skin health.

Other citrus fruits like oranges and lime are also high in Vitamin C.

But among the given options, lemon contains the most.

Explanation

The mass per unit volume of a substance is called density (density = mass/volume).

• The formula of Density is: D=m/v
• ****
• Here D is density,
• M is mass &
• V is Volume.
• Density is commonly expressed in units of grams per cubic centimeter.
• The standard units are kg/m³