Question:
The least number which, when divided by 6, 9, 12, 15, and 18, leaves a remainder 5 in each case is:
The least number which, when divided by 6, 9, 12, 15, and 18, leaves a remainder 5 in each case is:
Show Hint
Required Number = LCM(Divisors) + Common Remainder.
Updated On: Jun 26, 2026
- 185
- 365
- 1850
- 3650
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Concept
LCM and remainders.
Step 2: Analysis
The number is of the form LCM(6, 9, 12, 15, 18) + Remainder.
Step 3: Calculation
LCM(6, 9, 12, 15, 18) = 180.
Required number = $180 + 5 = 185$.
Step 4: Conclusion
The least number is 185. Final Answer: (A)
LCM and remainders.
Step 2: Analysis
The number is of the form LCM(6, 9, 12, 15, 18) + Remainder.
Step 3: Calculation
LCM(6, 9, 12, 15, 18) = 180.
Required number = $180 + 5 = 185$.
Step 4: Conclusion
The least number is 185. Final Answer: (A)
Was this answer helpful?
0
0
Top APICET Mathematical Ability Questions
- A train can travel 50 percent faster than a car. Both start from point A at the same time and reach point B, 75 kilometers away, at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. Speed of the car is _____.
- A and B travel the same distance with 60 km/hr and 90 km/hr respectively. If A takes 9 hrs to cover the distance, then the time taken by B is _____ hrs.
- A person A can complete a work in 12 minutes. The persons B and C are respectively 25% and $33\frac{1}{3}%$ more efficient than A. If all three work together, the number of minutes they take to complete the work is _____.
- A, B, and C invest in a ratio of 2:3:5. After one year, C withdraws his amount. If the total profit after 2 years is Rs.1,00,000, then the share of B is:
- If $x = 3 + 2\sqrt{2}$, then the value of $\left(\sqrt{x} - \frac{1}{\sqrt{x}}\right)$ is:
View More Questions
Top APICET Arithmetic Questions
- A train can travel 50 percent faster than a car. Both start from point A at the same time and reach point B, 75 kilometers away, at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. Speed of the car is _____.
- A and B travel the same distance with 60 km/hr and 90 km/hr respectively. If A takes 9 hrs to cover the distance, then the time taken by B is _____ hrs.
- A person A can complete a work in 12 minutes. The persons B and C are respectively 25% and $33\frac{1}{3}%$ more efficient than A. If all three work together, the number of minutes they take to complete the work is _____.
- A, B, and C invest in a ratio of 2:3:5. After one year, C withdraws his amount. If the total profit after 2 years is Rs.1,00,000, then the share of B is:
- A trader allows two successive discounts of 20% and 10% on an item marked Rs.500. Then the selling price is:
View More Questions