SECTION 1: NUMBER SYSTEM
Divisibility Rules
By 2 → Last digit is even (0, 2, 4, 6, 8).
By 3 → Sum of the digits is divisible by 3.
By 4 → The last two digits form a number divisible by 4.
HCF & LCM Formulas
HCF × LCM = Product of the numbers
LCM = (a × b) / HCF(a, b)
Practice Question
Find the HCF and LCM of 24, 36, and 60.
Solution: HCF = 12, LCM = 360
SECTION 2: ARITHMETIC
Percentage
Percentage = (Value / Total Value) × 100
Profit & Loss
Profit % = (Profit / Cost Price) × 100
Loss % = (Loss / Cost Price) × 100
Practice Question
A man sells an item at ■720, making a 20% profit. What was the cost price?
Solution: Cost Price = ■600
SECTION 3: TIME, SPEED & DISTANCE
Speed = Distance / Time
Time = Distance / Speed