ICET Mathematical Ability - Arithmetic 2 — Questions and Answers
Question 1: A can complete a work in 10 days and B in 15 days. In how many days can they complete it together?
- 5 days
- 6 days (Correct answer)
- 7 days
- 8 days
Correct answer: 6 days
Combined rate = 1/10 + 1/15 = 1/6, so they finish the work in 6 days.
Question 2: If the cost price of 10 items equals the selling price of 8 items, what is the profit percentage?
- 20%
- 22%
- 25% (Correct answer)
- 28%
Correct answer: 25%
Let CP per item = 1; then SP per item = 10/8 = 1.25, giving profit = 25%.
Question 3: A sum of money doubles itself in 8 years at simple interest. What is the rate of interest per annum?
- 10%
- 12%
- 12.5% (Correct answer)
- 15%
Correct answer: 12.5%
When money doubles, SI = P; R = (100 × P)/(P × 8) = 12.5%.
Question 4: Find the LCM of 12, 18, and 24.
- 48
- 60
- 72 (Correct answer)
- 96
Correct answer: 72
LCM(12, 18, 24) = 2³ × 3² = 72.
Question 5: The average of 5 consecutive even numbers is 30. What is the largest number?
- 32
- 34 (Correct answer)
- 36
- 38
Correct answer: 34
The middle (3rd) number equals the average = 30, so the five numbers are 26, 28, 30, 32, 34 and the largest is 34.
Question 6: A 20% discount on a marked price gives $80 off. What is the marked price?
- $350
- $375
- $400 (Correct answer)
- $450
Correct answer: $400
Marked price = 80 ÷ 0.20 = $400.
A can complete a work in 10 days and B in 15 days.
In how many days can they complete it together?