Explanation

Surface area = 4πr², Volume = 4/3πr³.  

Surface area is just derivative of volume w.r.t r.

2πr is circumference of a circle, not volume at all.

Last verified on 07-06-2026

Explanation

Explanation

• The set of complex numbers {1, i, -i, -1} under multiplication operation is a cyclic group.
• Two generators i and -i will covers all the elements of this group.
• Hence, it is a cyclic group.

Last verified on 04-06-2026

Explanation

• A yard and an inch are both units of measurement (length), where inch is a smaller unit.
• Similarly, a quart and an ounce are units of measurement (volume), where ounce is a smaller unit.
• So, the relationship is larger unit → smaller unit.

Last verified on 26-05-2026

Explanation

Explanation

Let's calculate the final selling price after two successive discounts of 10% and 5% on the marked price of Rs. 2000.

Step 1:

First discount = 10% of 2000 = 0.10 × 2000 = Rs. 200

Price after first discount = 2000 - 200 = Rs. 1800

Step 2:

Second discount = 5% of 1800 = 0.05 × 1800 = Rs. 90

Price after second discount = 1800 - 90 = Rs. 1710

Final selling price = Rs. 1710

Last verified on 09-05-2026

Explanation

• An angle inscribed in a semicircle is always 90° due to the Thales' Theorem.
• It is called a right angle because the angle subtended by a diameter is always right.

Last verified on 06-05-2026

Explanation

NOTE:

• If the question only says “all four sides are equal,” then the correct answer is a rhombus.
• If the question says “all four sides are equal, and all four angles are right angles (90°),” then the correct answer is Square.
• Example:
• Diamond shape ◇ = Rhombus
• Box shape □ = Square

Last updated by NA on 27 April 2026

Explanation

Explanation

• π (pi) is approximately 3.14159.
• The value of Pi (π) is the ratio of the circumference of a circle to its diameter.
• The value of π  (pi) is an irrational number
• Meaning it is a decimal that never ends and never settles into a repeating pattern

Last updated by NA on 25-April-2026