If E = 5, GUN = 42 and ROSE = 57, then what is the value of GATE ?

The average marks obtained by a group of 10 students were 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.6. What were the average marks obtained by the student who left and the one who joined?

The average marks obtained by a group of 16 students was 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.5. What was the average marks obtained by the student who left and the one who joined?

In the following question, select the related word pair from the given alternatives.

Rose : Flower : : ? : ?

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems 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: Some roses are flowers

Statement II: Some red are roses

Conclusion I: Some flowers are red

Conclusion II: All red are flowers

In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement".

This stove (had) a flat kerosene tank at the bottom.

After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

The way criminal justice is designed and administered today _______________ serves any of the purposes for which it is set up: towards securing life and property. It does not ________________ criminals because of the delay and uncertainties involved in its processes and ridiculously ineffective punishments it imposes ____________________ those few who get convicted. It provides wide discretion to the police and the prosecution, __________________ the system vulnerable to corruption and manipulation and endangering basic ____________________ of innocent citizens.

and endangering basic ____________________ of innocent citizens.