GATE2017 CE-1: GA-3

Question

Consider the following sentences:

All benches are beds. No bed is bulb. Some bulbs are lamps.

Which of the following can be inferred?

1. Some beds are lamps.
2. Some lamps are beds.

• A. Only i
• B. Only ii
• C. Both i and ii
• D. Neither i nor ii

Answer 1

According to the given data, we can draw the Venn diagram as shown below and all conditions given are satisfied. (We can also draw Venn diagram differently like taking Bed and Bench as same set, but this is just one possibility)

None of the given statement can be inferred according to the Venn diagram. (If any statement can be inferred it must hold true for any Venn diagram)

So, Correct answer is $(D)$

Comments

@Lakshman Patel RJIT

What would be wrong if I put lamp in between bed and bulb means lamp is intersecting bed from left side and intersecting bulb from right side $?$

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Okay. I got it. See if my reasoning is correct

We can make both possibilities but in order to dis-satisfy (one case) both $i)$ $ii)$ your figure would be helpful.

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@Kushagra गुप्ता

 

What would be wrong if I put the lamp in between bed and bulb means the lamp is intersecting bed from the left side and intersecting bulb from the right side?

This is one possibility.Not always correct.