Central Exam — Quantitative Aptitude
UPSC · SSC · Bank · Railway · NDA — Central Government Exam MCQ Practice
Showing 301–310 of 429 questions
Q.301
Easy
HCF and LCM
Find the HCF of 144, 180, and 216 using prime factorization method.
Correct Answer:
B. 36
Explanation:
144 = 2⁴×3², 180 = 2²×3²×5, 216 = 2³×3³. HCF = 2²×3² = 4×9 = 36
Q.302
Easy
HCF and LCM
A train travels 360 km in 6 hours. Find the time taken to travel 600 km at the same speed.
Correct Answer:
B. 10 hours
Explanation:
Speed = 360/6 = 60 km/h. Time = Distance/Speed = 600/60 = 10 hours
Q.303
Easy
HCF and LCM
The LCM of 24 and 36 is?
Correct Answer:
B. 72
Explanation:
24 = 2³×3, 36 = 2²×3². LCM = 2³×3² = 8×9 = 72
Q.304
Easy
HCF and LCM
Simple Interest on ₹8000 at 6% per annum for 2.5 years is?
Correct Answer:
C. ₹1200
Explanation:
SI = (P×R×T)/100 = (8000×6×2.5)/100 = 120000/100 = ₹1200
Q.305
Easy
HCF and LCM
LCM of three numbers 12, 18, and 24 is?
Correct Answer:
C. 72
Explanation:
12 = 2²×3, 18 = 2×3², 24 = 2³×3. LCM = 2³×3² = 8×9 = 72
Q.306
Easy
HCF and LCM
A person buys an article for ₹400 and sells it for ₹520. What is the profit percentage?
Correct Answer:
B. 30%
Explanation:
Profit = 520 - 400 = ₹120. Profit% = (120/400)×100 = 30%
Q.307
Easy
HCF and LCM
A boat's effective speed in still water is 10 km/h and current speed is 2 km/h. Time to travel 36 km downstream is?
Correct Answer:
B. 3 hours
Explanation:
Downstream speed = 10 + 2 = 12 km/h. Time = Distance/Speed = 36/12 = 3 hours
Q.308
Easy
HCF and LCM
If the HCF of 75 and 125 is 'h' and LCM is 'l', then h×l equals?
Correct Answer:
A. 9375
Explanation:
HCF × LCM = Product of numbers = 75 × 125 = 9375
Q.309
Easy
HCF and LCM
The HCF of two numbers is 12 and their LCM is 360. If one number is 60, find the other number.
Correct Answer:
A. 72
Explanation:
Using the formula: HCF × LCM = Product of two numbers. 12 × 360 = 60 × Other number. Other number = 4320/60 = 72
Q.310
Easy
HCF and LCM
A shopkeeper has 48 apples, 72 oranges, and 96 bananas. He wants to pack them into boxes such that each box contains the same number of items of each type. What is the maximum number of boxes needed?
Correct Answer:
C. 24
Explanation:
Maximum boxes = HCF(48, 72, 96) = 24. Each box will have 2 apples, 3 oranges, and 4 bananas