Ques:- A,B and C needs 8, 12 and 16 days respectively to finish a task. How many days will it take if A works for 2 days then B works on it until 25% of the job is left for C to do, and C completes the work?
Ques:- The least number should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is
A. 3
B. 13
C. 23
D. 33
Right Answer:
We are given:
-
The number = 2497
-
We are to find the least number to be added to 2497 so that the result is divisible by 5, 6, 4, and 3
🧠 Step 1: Find the Least Common Multiple (LCM) of 5, 6, 4, and 3
Prime factorizations:
-
5 = 5
-
6 = 2 × 3
-
4 = 2²
-
3 = 3
Take the highest powers of all primes:
-
2², 3, 5
So,
LCM=22×3×5=4×3×5=60\text{LCM} = 2² × 3 × 5 = 4 × 3 × 5 = 60
🧠 Step 2: Find the least number to add to 2497 to make it divisible by 60
Find the remainder when 2497 is divided by 60:
2497 ÷ 60 = 41 remainder 37
So,
60 − 37 = 23
✅ Final Answer:
The least number that should be added to 2497 is 23.
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