Prelims

The number of times in a day the Hour-hand and the Minute-hand of a clock at right angles is

Consider the figures given below: In the given sequence of figures, the figure that would logically appear at Sl. No. V is

A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km/hr is

Examine the following statements regarding a set of balls : I. All balls are black. II. All balls are white. III. Only some balls are black. IV. No balls are black. Assuming that the balls can only be black or white, which two statements given above can both be true, but cannot both be false ? Choose the correct answer from the codes given below : Codes :

A survey was conducted on a sample of 1000 persons with reference to their knowledge of English, French and German. The results of the survey are presented in the given Venn diagram. The ratio of the number of persons who do not know any of the three languages to those who know all the three languages is

A girl is swinging on a swing in sitting position. When the same girl stands up, the period of swing will

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ?

Seven persons P, Q, R, S, T, U and V participate in and finish all the events of a series of swimming races. There are no ties at the finish of any of the events. V always finishes somewhere ahead of P. P always finishes somewhere ahead of Q. Either R finishes first and T finishes last or S finishes first and U or Q finishes last. If in a particular race V finished fifth, then which one of the following would be true ?

Consider the following : I. Saxena, David. Jain and Kumar were District Collectors at places P, Q, R and S respectively in 1970. II. In 1972 they were transferred. Saxena and Jain interchanged places. Kumar and David also interchanged places. III. One year later in 1973 they were again transferred such that David and Jain interchanged places and Saxena and Kumar were also interchanged. What should be the next round of transfers so that all the four persons could have been posted at all the four places ?

The length, breadth and height of a room are 1, b and h respectively. The perimeter of the ceiling expressed as a percentage of the total area of the four walls is