State Exam — Quantitative Aptitude
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Showing 81–90 of 429 questions
Q.81
Easy
HCF and LCM
The product of HCF and LCM of two numbers is 360. If one number is 20, find the other.
Correct Answer: B. 18
Explanation:
HCF × LCM = Product of numbers = 360. 360 = 20 × other number.
Other number = 360 ÷ 20 = 18.
Q.82
Easy
HCF and LCM
The HCF of two numbers is 6. If their LCM is 60 and one number is 12, find the other number.
Correct Answer: C. 30
Explanation:
Using HCF × LCM = Product: 6 × 60 = 12 × other. 360 = 12 × other.
Other = 360 ÷ 12 = 30.
Q.83
Easy
HCF and LCM
Two numbers have an HCF of 12. If one number is 60, find the other number such that their LCM is 180.
Correct Answer: B. 36
Explanation:
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 ✓
Q.84
Easy
HCF and LCM
The HCF of two numbers is 15 and their LCM is 450. If one of the numbers is 90, what is the other number?
Correct Answer: B. 75
Explanation:
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 ✓
Q.85
Easy
A shopkeeper buys for Rs 200, sells for Rs 250. Profit %?
Correct Answer: B. 25%
Explanation:
Profit=50. Profit%=(50/200)×100=25%.
Q.86
Easy
Train travels 360 km in 4 hours. Speed?
Correct Answer: B. 90 km/hr
Explanation:
Speed=Distance/Time=360/4=90 km/hr.
Q.87
Easy
Simple interest on Rs 5000 at 8% for 3 years?
Correct Answer: B. Rs 1200
Explanation:
SI=(P×R×T)/100=(5000×8×3)/100=Rs 1200.
Q.89
Easy
Numbers in ratio 3:5, sum=64. Larger number?
Correct Answer: B. 40
Explanation:
Larger=(5/8)×64=40.