Direction (Q. 6-10) : In each of the following questions a question is followed by Information given in three Statements. You have to study the question along with the statements and decide the Information given in which of the Statements is necessary to answer the question.

What is the speed of a train ?
I. The train crosses a pole in 12 seconds.
II. The length of the train is 350 metres.
III. The train crosses a platform double its length in 36 sec.

From the first and the second statement we find the spend of the train which is equal to 350/12 m/sec.

From statement II and III also, we can find the speed of the train. Which is 1050/36m/sec. So either I and II both together are necessary to calculate the speed of the train or I and III together are necessary to calculate the speed of the train.

What is a two-digit number ?
I. The number obtained by interchanging the digits of the number is lesser than the original number by 27.
II. The ratio of digits of the original number is 5 : 2.
III. The difference between the two digits of the original number is 3.

From the first statement. We get one equation of two variable ie

9(x - y) = 27

= x – y = 3 ……(1)

Y – digit at unit’s place of the number

X – digit at ten’s place of the number

From statement II we get

x/y = 5/2 = 2x = 5y ……(2)

From statement III we get

X – y = 3 ……(3)

The first and the third the equations are the same. So we require two equations to solve these two variable equations. Hence either I & II or III are necessary.

In how many days can 18 men and 8 women together complete a piece of work ?
I. 6 men complete the piece of work in 8 days.
II. 16 women complete the piece of work in 10 days.
III. 9 boys take 16 days to complete the piece of work.

What is the rate of interest p.c.p.a. ?
I. The simple interest earned is Rs 4800 for a period of two years.
II. The difference between the Compound and the simple interest on an amount of equal interest rates is Rs 192 at the end of 2 years.
III. An amount triples itself in 25 years at a simple rate of interest.