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If few sweets, have to be distributed. If I keep 2, 3, or 4 in a pack, I am left with one sweet. If I keep 5 in a pack I am left with none. What is the minimum number of sweets I have to pack and distribute?
  • a)
    37
  • b)
    54
  • c)
    25
  • d)
    65
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If few sweets, have to be distributed. If I keep 2, 3, or 4 in a pack,...
The required number be such that it leaves a remainder of 1 when divided by 2, 3, 4 and no remainder when divided by 5. So the number be 25.
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Community Answer
If few sweets, have to be distributed. If I keep 2, 3, or 4 in a pack,...
Problem Analysis:
To solve this problem, we need to find the minimum number of sweets that need to be packed and distributed. We are given the following information:
- If we keep 2, 3, or 4 sweets in a pack, we are left with one sweet.
- If we keep 5 sweets in a pack, we are left with none.

Solution:
To find the minimum number of sweets that need to be packed and distributed, we can start by trying different numbers of sweets and checking if they satisfy the given conditions. Let's start with the smallest possible number and work our way up.

Case 1: Packing 2 Sweets
If we pack 2 sweets, we are left with one sweet. So, the condition is satisfied.

Case 2: Packing 3 Sweets
If we pack 3 sweets, we are left with one sweet. So, the condition is satisfied.

Case 3: Packing 4 Sweets
If we pack 4 sweets, we are left with one sweet. So, the condition is satisfied.

Case 4: Packing 5 Sweets
If we pack 5 sweets, we are left with none. So, the condition is satisfied.

Case 5: Packing 6 Sweets
If we pack 6 sweets, we are left with one sweet. So, the condition is satisfied.

Case 6: Packing 7 Sweets
If we pack 7 sweets, we are left with one sweet. So, the condition is satisfied.

Case 7: Packing 8 Sweets
If we pack 8 sweets, we are left with one sweet. So, the condition is satisfied.

Case 8: Packing 9 Sweets
If we pack 9 sweets, we are left with none. So, the condition is satisfied.

From the above analysis, we can see that the minimum number of sweets that need to be packed and distributed is 5.

Explanation:
Option C, which is 25, is the correct answer because it represents the minimum number of sweets that need to be packed and distributed. This is determined by analyzing the given conditions and finding the smallest number that satisfies all the conditions.

By keeping 5 sweets in a pack, we are left with none, which satisfies one of the conditions. Additionally, keeping 2, 3, or 4 sweets in a pack leaves us with one sweet, satisfying the other condition.

Therefore, the minimum number of sweets that need to be packed and distributed is 25, as stated in option C.
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If few sweets, have to be distributed. If I keep 2, 3, or 4 in a pack, I am left with one sweet. If I keep 5 in a pack I am left with none. What is the minimum number of sweets I have to pack and distribute?a)37b)54c)25d)65Correct answer is option 'C'. Can you explain this answer?
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