Aptitude and Reasoning Questions

If cot 135° = x, then the value of x is

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) All radios are electric goods.
(II) All table­lamps are electric goods.

Conclusions:
(I) Some radios are table­lamps.
(II) Some table lamps are radios.

In a certain code language, @ represents '+', ⊕represents '-', α represents '+'and 'θ' represents 'X '. Find out the answer of the following question.

107 θ 3 ⊕ 64 α 8 ⊕ 2θ9=?

The ratio of the present ages of Reena and her husband is 4 : 5. 8 years from now, ages of her husband and her son will be in the ratio 24 : 9. If the present age of Reena is 32 years, then what will be her son’s present age (in years)?

Lokesh is taller than Gagan but not shorter than Abhishek. Abhishek and Suresh are of same height. Lokesh is shorter than Lalit. Amongst the boys, who is the tallest?

In an arithmetic progression, if 9 is the 5th term, -26 is the 12th term, then -6 is which term?

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statements:
(I) All pilots are brave men.
(II) All astronauts are pilots.

Conclusion:
(I) All astronauts are brave men.
(II) Some pilots are astronauts.

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.