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We know that, (a + b) 2 = a2 + b2 + 2ab
So, (tan θ + cot θ) 2 = tan2 θ + cot2 θ + 2 x tan θ x cot θ
So, 162 = tan2 θ + cot2 θ + (2 x 1)
So, tan2 θ + cot2 θ = 256 - 2 = 254
Statements: All malware are spyware.
All spyware are viruses.
Conclusions: I...
Statements: Some papers are copies.
No copy is a diary.
Some diary are cardboard.
Conclusions:I. No diary is papers.
II. S...
Statements:
Only a few Cups are Spoons
All Spoons are Forks
Some Forks are Plates
Conclusion:
I. Some Cups are ...
Statements:
No curtain is wall.
None of the walls is windows.
All windows are roofs.
Conclusions:
I. Mostly roofs bei...
Statements:Some mugs are soaps.
Some soaps are taps.
Conclusions:I. Some taps are mugs.
II. No mugs is tap.
Statement:
All petrol are diesel.
Only a few petrol are coal.
Some diesel are kerosene.
Conclusion:
All coal be...
Statements:
All Onion are Potato.
No Potato is Tomato.
All Tomato are Cabbage.
Conclusions:
I. All Potato be...
Statements-
1. All phones are wires.
2. All switches are wires.
3. Some wires are poles.
4. Some poles are not phones.
<...In the question below some statements are given followed by three conclusions I, II, and III. You have to take the given statements to be true even if ...