The greatest 6-digit number is 999999.
The smallest 6-digit number is 100000.
The difference is 999999 - 100000 = 899999.
Given:
Selling price (SP) = Rs. 8413
Loss percentage = 6%
Let's denote the cost price as CP.
Since the shopkeeper loses 6%, the selling price is 94% of the cost price (100% - 6% = 94%).
SP = 0.94 × CP
8413 = 0.94 × CP
CP = 8413 / 0.94
CP = 8950
Radius (r) = 13 cm
Distance from center to chord (d) = 5 cm
Let's draw a perpendicular from the center to the chord. This will bisect the chord.
Using the Pythagorean theorem:
r² = d² + (half chord)²
13² = 5² + (half chord)²
169 = 25 + (half chord)²
(half chord)² = 169 - 25
= 144
half chord = √144
= 12 cm
Length of chord = 2 × half chord
= 2 × 12
= 24 cm
Total marks = 19 + 21 + 22 + 24 + 19 = 105
Average = 105 ÷ 5 = 21
Intersection of sets includes only the elements common to all given sets.
It is denoted by the symbol ∩.
The original equation is: b - 15 = 32
Solving:
b = 32 + 15 = 47
Given the point (3, -4), where x = 3 (positive) and y = -4 (negative):
Step 1: Determine the quadrant
In the Cartesian coordinate system, Quadrant IV has positive x-coordinates and negative y-coordinates.
Let's denote Hassan's age as H and Nida's age as N.
1. H + 3N = 30
2. N = H/6
Substitute N = H/6 into the first equation:
H + 3(H/6) = 30
H + H/2 = 30
Multiply both sides by 2 to eliminate the fraction:
2H + H = 60
3H = 60
H = 20
13 + 12 = 25 is mathematically correct.