State Exam — Quantitative Aptitude
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Showing 281–290 of 429 questions
Q.281
Easy
HCF and LCM
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.282
Easy
HCF and LCM
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.283
Easy
HCF and LCM
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.284
Easy
HCF and LCM
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.285
Easy
HCF and LCM
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.286
Easy
HCF and LCM
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.287
Easy
HCF and LCM
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.288
Easy
HCF and LCM
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.289
Easy
HCF and LCM
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.290
Easy
HCF and LCM
A merchant offers successive discounts of 15% and 10%. What is the equivalent single discount?
Correct Answer: A. 23.5%
Explanation:
After 15% discount: 85%; After 10% on that: 85×90/100 = 76.5%; Single discount = 100-76.5 = 23.5%