Prelims

A man starts walking in the north-easterly direction from a particular point. After walking a distance of 500 metres, he turns southward and walks a distance of 400 metres. At the end of this walk he is situated

Two packs of cards are thoroughly mixed and stuffed and two cards are drawn at random, one after the other. What is the probability that both of them are Jacks?

A rectangle has a perimeter of 50 meters. If its length is 13 metres more than its breadth, then its area is

The average of X1, X2 and X3 is 14. Twice the sum of X2 and X3 is 30. What is the value of X1 ?

The following figure contains three squares with areas of 100, 16 and 49 lying side by side as shown. By how much should the area of the middle square be reduced in order that the total length PQ of the resulting three squares is 19?

Mouse is to cat as fly is to

The next pair of letters in the series AZ, CX, FU, …… is

When the frequency distribution is normal

In the given figure, the triangle represents girls, the square represents sports persons and the circle represents coaches. The portion in the figure which represents girls who are sports persons but not coaches is the one labelled

Six roads lead to a country. They may be indicated by letters X, Y, Z and digits 1, 2, 3. When there is storm, Y is blocked. When there are floods X, 1 and 2 will be affected. When road 1 is blocked, Z also is blocked. At a time when there are Hoods and a storm also blows, which road(s) can be used ?