Govt. Exams
Entrance Exams
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Topics in Quantitative Aptitude
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
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
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
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%
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
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
The LCM of 24 and 36 is?
Correct Answer:
B. 72
EXPLANATION
24 = 2³×3, 36 = 2²×3². LCM = 2³×3² = 8×9 = 72
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
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
The HCF and LCM of two numbers are 15 and 360 respectively. If one number is 45, find the other number.
Correct Answer:
A. 120
EXPLANATION
Using formula: HCF × LCM = Product of two numbers. 15 × 360 = 45 × x. Therefore x = 5400/45 = 120
