Quantitative Aptitude

Larger=(5/8)×64=40.

15% of 480=(15/100)×480=72.

SI=(P×R×T)/100=(5000×8×3)/100=Rs 1200.

Speed=Distance/Time=360/4=90 km/hr.

Profit=50. Profit%=(50/200)×100=25%.

Using HCF × LCM = Product of two numbers:

15 × 450 = 90 × Other number

6750 = 90 × Other number

Other number = 6750 ÷ 90 = 75

Verification: HCF(90, 75) = 15 ✓ and LCM(90, 75) = 450 ✓

Using the formula: HCF × LCM = Product of two numbers

12 × 180 = 60 × Other number

2160 = 60 × Other number

Other number = 2160 ÷ 60 = 36

Verification: HCF(60, 36) = 12 ✓ and LCM(60, 36) = 180 ✓

Using HCF × LCM = Product: 6 × 60 = 12 × other. 360 = 12 × other.

Other = 360 ÷ 12 = 30.

HCF × LCM = Product of numbers = 360. 360 = 20 × other number.

Other number = 360 ÷ 20 = 18.

72 = 2³ × 3², 90 = 2 × 3² × 5.

Common factors: 2 and 3². HCF = 2 × 3² = 2 × 9 = 18.