Mathematics

Sphere and Hemisphere – Surface Area and Volume

Sphere and Hemisphere – Surface Area and Volume Geometry questions on Sphere and Hemisphere are common in competitive examinations. The key is to understand the difference between surface area and volume , and especially the …

Cube & Cuboid – Complete Solutions

Cube & Cuboid – Complete Solutions 1. The volume of a cube of side 8 cm is: A) 256 cm³ B) 384 cm³ C) 512 cm³ D) 640 cm³ Solution: Formula for volume of a cube: Volume = a 3 \text{Volume} = a^3 Here, side a = 8 a = 8 cm…

Cube and Cuboid: Surface Area and Volume

Cube and Cuboid: Surface Area and Volume Cube and cuboid are among the most important topics in Mensuration for competitive examinations such as JKSSB, SSC, Railway and other government exams . Questions are usually based on f…

Probability Notes for JKSSB Competitive Examinations

Probability Notes for JKSSB Competitive Examinations (Basic to Advanced with Practice Questions – Home Academy) 1. Introduction to Probability Probability is the branch of mathematics that deals with the chance of occurrence of…

Probability MCQ Asked in jkssb exam

Probability MCQ Asked in jkssb exam 1. A fair die is rolled once. The probability of getting an even number is: A) 1/6 B) 1/3 C) 1/2 D) 2/3 2. A card is drawn from a standard deck of 52 cards. The probability of getting a King …

Zeros in Indian number system and the International number system

Indian number system and the International number system    Zeros in the International Number System Number Name Number Zeros Hundred 100 2 zeros Thousand 1,000 3 zeros Ten Thousand 10,000 4 zeros Hundred Thousand 100,000 5 ze…

1 lakh to 100 lakh and their equivalent numbers with zeros.

1 lakh to 100 lakh and their equivalent numbers with zeros. In the Indian number system: 1 Lakh = 1,00,000 = 100,000 1 Lakh = 10⁵ Now the table: Lakh Number (Indian Format) Number (International Format) 1 Lakh 1,00,000 100,000 2 …

Sphere and Hemisphere formula and basic understanding

🔵 Sphere and Hemisphere (With Practical Examples, Formulas & Comparison – Beginner Friendly)  Sphere ✅ Definition: A sphere is a perfectly round 3D shape in which all points on the surface are at equal distance from the c…

Right Circular Cylinder vs Hollow Circular Cylinder

🔷 Right Circular Cylinder vs Hollow Circular Cylinder Right Circular Cylinder ✅ Definition: A right circular cylinder is a solid 3D shape having: Two equal circular bases One curved surface The axis is perpendicular (90°) to …

MCQs on Lateral Surface Area (LSA) & Total Surface Area (TSA)

MCQs on Lateral Surface Area (LSA) & Total Surface Area (TSA) 1. The lateral surface area of a cube of side 4 cm is: A) 64 cm² B) 96 cm² C) 48 cm² D) 32 cm² Answer: A (LSA = 4a² = 4×16 = 64) 2. The total surface area of …

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