State Exam — Quantitative Aptitude
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Showing 231–240 of 1,106 questions
Q.231
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.232
Hard
HCF and LCM
Four numbers are in the ratio 1:2:3:4 with HCF = 7. Find their LCM.
Correct Answer: B. 1680
Explanation:
Numbers are 7, 14, 21, 28. 7 = 7, 14 = 2 × 7, 21 = 3 × 7, 28 = 2² × 7. LCM = 2² × 3 × 7 = 4 × 3 × 7 × 2 = 1680.
Q.233
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.234
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.235
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.236
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.237
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.239
Easy
Numbers in ratio 3:5, sum=64. Larger number?
Correct Answer: B. 40
Explanation:
Larger=(5/8)×64=40.
Q.240
Medium
A finishes work in 10 days, B in 15 days. Together?
Correct Answer: B. 6 days
Explanation:
1/10+1/15=5/30=1/6. Together=6 days.