Entrance Exams
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Topics in Aptitude & Maths
Q.141
Easy
HCF and LCM 14 Apr 2026
A worker can complete a job in 12 days. Another worker can complete it in 18 days. If they work together, how many days will they take?
Correct Answer: B. 7.2 days
EXPLANATION
Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36; Time = 36/5 = 7.2 days
Q.142
Easy
HCF and LCM 14 Apr 2026
Find the LCM of 48, 64, and 96 using prime factorization.
Correct Answer: C. 384
EXPLANATION
48 = 2⁴×3; 64 = 2⁶; 96 = 2⁵×3; LCM = 2⁶×3 = 64×6 = 384
Q.143
Easy
HCF and LCM 14 Apr 2026
A shopkeeper buys books at ₹20 each and sells at a profit of 25%. During a sale, he gives a 10% discount. What is his effective profit percentage?
Correct Answer: A. 12.5%
EXPLANATION
SP = 20 × 1.25 = ₹25; After 10% discount = 25 × 0.9 = ₹22.5; Profit% = (22.5-20)/20 × 100 = 12.5%
Q.144
Easy
HCF and LCM 14 Apr 2026
Three bells ring at intervals of 6, 9, and 15 minutes respectively. They ring together at 9:00 AM. At what time will they ring together again?
Correct Answer: D. 10:30 AM
EXPLANATION
LCM of 6, 9, 15 = 90 minutes = 1 hour 30 minutes. So they ring together at 10:30 AM
Q.145
Easy
HCF and LCM 14 Apr 2026
The HCF of two numbers is 18 and their LCM is 1080. If one number is 108, find the other number.
Correct Answer: A. 180
EXPLANATION
Using HCF × LCM = Product of two numbers: 18 × 1080 = 108 × x; x = 19440/108 = 180
Q.146
Easy
HCF and LCM 14 Apr 2026
HCF of two numbers is 16. Their LCM is 960. Find the product of the numbers.
Correct Answer: A. 15,360
EXPLANATION
HCF×LCM = product of numbers. 16×960 = 15,360.
Q.147
Easy
HCF and LCM 14 Apr 2026
A man walks 5 km/h and covers a distance in 6 hours. If he walks at 6 km/h, how much time saved?
Correct Answer: B. 1 hour
EXPLANATION
Distance = 5×6 = 30 km. New time = 30/6 = 5 hours. Time saved = 6-5 = 1 hour.
Q.148
Easy
HCF and LCM 14 Apr 2026
A man's salary increases from ₹40,000 to ₹48,000. What is the percentage increase?
Correct Answer: C. 20%
EXPLANATION
Increase = 48000 - 40000 = 8000. Percentage = 8000/40000 × 100 = 20%.
Q.149
Easy
HCF and LCM 14 Apr 2026
A shopkeeper buys goods at ₹80 and marks it up by 25%. After giving 10% discount, what is his profit percentage?
Correct Answer: B. 12.5%
EXPLANATION
MP = 80×1.25 = ₹100. SP = 100×0.9 = ₹90. Profit = 10/80 × 100 = 12.5%.
Q.150
Easy
HCF and LCM 14 Apr 2026
A boat covers 24 km upstream in 6 hours and 24 km downstream in 3 hours. Find the speed of the current.
Correct Answer: A. 2 km/h
EXPLANATION
Upstream speed = 24/6 = 4 km/h. Downstream speed = 24/3 = 8 km/h. Current = (8-4)/2 = 2 km/h.