Is integer y divisible by 24?1) y is divisible by 6 ?2) y is divisible...
If y divisible by 24. The rule says if number is divisible by all factors of other number the last number is a factor of the first
So, 24=3*2*2*2
S1. y is divisible by 6, which 3*2. Do not know about 2*2. Not sufficient
S2. y is divisible by 4, which 2*2. Do not know about 3*2. Not sufficient
S1+S2 says that y divisible by 3*2 and 2*2. Trick is that it is enough to be 3*2*2=12 to be divisible by 4 and 6 but not enough to be divisible by 24. But if we have 3*2*2*2=24 it is enough for all. Not sufficient.
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Is integer y divisible by 24?1) y is divisible by 6 ?2) y is divisible...
**Solution:**
To determine if integer y is divisible by 24, we need to find out if it is divisible by both 6 and 4. Let's evaluate each statement individually.
**Statement 1: y is divisible by 6**
If y is divisible by 6, it means that y is a multiple of 6. However, being divisible by 6 does not guarantee that y is divisible by 24. For example, y could be 6, 12, 18, etc., which are all divisible by 6 but not by 24. On the other hand, y could also be 24, 36, 48, etc., which are divisible by both 6 and 24. Therefore, statement 1 alone is not sufficient to answer the question.
**Statement 2: y is divisible by 4**
If y is divisible by 4, it means that y is a multiple of 4. Similarly to statement 1, being divisible by 4 does not necessarily mean that y is divisible by 24. For example, y could be 4, 8, 12, etc., which are all divisible by 4 but not by 24. On the other hand, y could also be 24, 48, 72, etc., which are divisible by both 4 and 24. Therefore, statement 2 alone is also not sufficient to answer the question.
Since neither statement alone is sufficient to determine if y is divisible by 24, we need additional information. Therefore, the correct answer is option **D) More information is required as the information provided is insufficient to answer the question**.
Is integer y divisible by 24?1) y is divisible by 6 ?2) y is divisible...
- If y is divisible by 24. The rule says if the number is divisible by all factors of other number the last number is a factor of the first
- So, 24=3x2x2x2
- S1. y is divisible by 6, which is 3x2. Do not know about 2*2. Not Sufficient
- S2. y is divisible by 4, which is 2x2. Do not know about 3*2. Not Sufficient
- S1+S2 says that y divisible by 3x2 and 2x2.
- The trick is that it is enough to be 3x2x2=12 to be divisible by 4 and 6 but not enough to be divisible by 24. But if we have 3x2x2x2=24 it is enough for all. Not Sufficient
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