GATE Questions

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In these questions, the relationship between two elements is shown in the statements. These statements are followed by two conclusions.
Statement:
A = M >P, N > R, A > T
Conclusion:
I. T = P
II. R < A

In each question below are three statements followed by two conclusions numbered I and II. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.
Statements:
All numbers are digits.
All alphabets are numbers.
All words are alphabets.
Conclusions:
I. All words are digits.
II. Some numbers are not words.

Walking at a speed of 10 km/hr, Madhu reaches her university 15 minutes late. Next time she increases her speed by 2 km/hr, but she is still late by 5 minutes. The distance of the university from her house is:

In each of the questions below are given three statements followed by three conclusions numbered I, II, and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow(s) from the given statements disregarding commonly known facts.
Statements:
Some tables are chairs.
All chairs are benches.
All benches are desks.
Conclusions:
I. Some desks are tables.
II. Some benches are tables.
III. Some desks are chairs.

In each questions given below three statements are followed by two conclusions numbered I and II. You have to take the three given statements to be true
even if they seem to be at variance with the commonly known facts. Read the conclusions and decide which conclusion logically follows from the three given statement disregarding commonly known facts. Give answer

Statements:
Some books are papers.
No paper is magazine.
All magazines are pens.
Conclusions:
I. Some books are not magazines.
II. Some books are magazines.

In each of the following questions three statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given three statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements:

All books are novels.
No novel is a magazine.
All magazines are newspaper.
Conclusions: 

I.No book is a magazine.
II. Some newspaper are novels.

A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?

A vendor buys chikoos at 15 for Rs 8 and then sells at 10 for Rs 6. What will be the result?