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Byju's Answer

Standard XII

Mathematics

Logical Connectives

Statements ...

Question

Statements
(i) Some shirts are socks.
(ii) No sock is red.

Conclusions
1. Some socks are shirts.
2. No shirt is red.

Only 1 follows

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Only 2 follows

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Neither 1 nor 2 follows

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Both 1 and 2 follows

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Solution

The correct option is A Only 1 follows
(i) Some shirts are socks.(ii) No sock is red.

Above statement says;
(i) Some shirts are socks which shows that some socks also might be shirt that is also 1st conclusion .
(ii) "No sock is red" which conclude that some socks which might be shirt are not red but some shirts which are not socks may be red so from 2nd statement we can not get 2nd conclusion.
Thus Only option A is correct and only 1st conclusion may come from given statement.

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Similar questions

Q. Statements:
i. Some trousers are shirts.
ii. No face is a trousers.
iii. No trousers is a flower.
Conclusions:

Only I and II follow
Either I or II follows
Only IV follows
Only III and IV follow

Q. Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements.
Statements:
All jackets are trousers.
No trouser is shirt.
Some shirts are caps.
Conclusions:
I. Some caps are jackets.
II. Some shirts are jackets.
III. Some trousers are jackets.

Statement

Some socks are shoes

All shoes are towels

All towels are bed sheets

No bed sheet is blanket

Conclusions

I. No towel is blanket

II. Some socks are towels

III. Some socks are bed sheets

Statement

Some bags are trunks

All trunks are shirts

Some shirts are books

All books are shops.

Conclusions

I. Some shops are bags

II. Some books are bags

III. Some shops are shirts

IV. Some shirts are bags.

Statements:

Some lamps are sticks.

Some flowers are sticks.

Some sticks are dresses.

All dresses are shirts.

Conclusions:

I. Some shirts are lamps.

II. Some shirts are flowers.

III. Some flowers are lamps.

IV. Some dresses are lamps.

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Statements (i) Some shirts are socks.(ii) No sock is red.Conclusions1. Some socks are shirts.2. No shirt is red.

Statements
(i) Some shirts are socks.
(ii) No sock is red.

Conclusions
1. Some socks are shirts.
2. No shirt is red.