#### Direction to solve:

Each of the questions given below consists of two statements numbered I and II given below it. Please read the questions carefully and decide whether the data provided in the statement(s) is / are sufficient to answer the given question.

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1.

The cities X, Y and Z are on a straight line. City Z is between X and Y. The distance from X to Y is $100$ km. How far is X from Z ?

I. The distance from X to Y is $25\%$ more than the distance from Z to Y.

II. The distance from X to Z is $\frac{1}{4}$ of the distance Z to Y

A) I alone sufficient while II alone not sufficient to answer

B) II alone sufficient while I alone not sufficient to answer

C) Either I or II alone sufficient to answer

D) Both I and II are not sufficient to answer

E) Both I and II are necessary to answer

2.

A car and a bus start from the town X at the same time. How far is the town Y from the town X ?

I. The car travelling at an average speed of 40 km/hr reaches town Y at 4:35 pm.

II. Th bus reaches town Y at 6:15 pm, at an average speed of 60 km/hr.

A) I alone sufficient while II alone not sufficient to answer

B) II alone sufficient while I alone not sufficient to answer

C) Either I or II alone sufficient to answer

D) Both I and II are not sufficient to answer

E) Both I and II are necessary to answer

3.

What is the average speed of the car over the entire distance ?

I. The car covers the whole distance in four equal stretches at speeds of 10 kmph, 20 kmph, 30 kmph and 60 kmph respectively.

II. The total time taken is 36 minutes.

A) I alone sufficient while II alone not sufficient to answer

B) II alone sufficient while I alone not sufficient to answer

C) Either I or II alone sufficient to answer

D) Both I and II are not sufficient to answer

E) Both I and II are necessary to answer

4.

What is the usual speed of the train ?

I. The speed of the train is increased by 35 km/hr to reach the destination 150 km away in time.

II. The train is late by 30 minutes.

A) I alone sufficient while II alone not sufficient to answer

B) II alone sufficient while I alone not sufficient to answer

C) Either I or II alone sufficient to answer

D) Both I and II are not sufficient to answer

E) Both I and II are necessary to answer

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