Each of the questions below consists of a question and three statement

1.	Each of the questions below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.What is the respective speed of 2 trains, P and Q of length 175 meters and 150 meters respectively? (Speed of Q > Speed of P)Statement I. They take 13 seconds to cross each other when they are running in the opposite direction.Statement II. The trains take 65 seconds to cross each other were running in the same direction.Statement III. The sum of the speed of P and Q is 25 m/sec.1. Either statement I and II together or Statement II and III together is sufficient to answer the question.2. The data in statement I alone is sufficient to answer the question.3. The data in statement I and II together are sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5. The data in all statements I, II, and III together are necessary to answer the question.
Answer» Correct Answer - Option 1 : Either statement I and II together or Statement II and III together is sufficient to answer the question. Calculation: Length of Train P = 175 m Let the speed of the train be y. Length of Train Q = 150 m Let the speed of the train be x. For Statement I: 325 = (x + y) × 13 ⇒ x + y = 25 ----(i) Statement I alone is not sufficient to answer the question. For statement II: 325 = (x - y) × 65 ⇒ x - y = 5 ----(ii) Statement II alone is not sufficient to answer the question. But if we combine both statements I and II then we can find the Speed. For statement III: x + y = 25 ----(iii) Statement III alone is not sufficient to answer the question. But if we combine statements II and III we can find the Speed. ∴ Either statement I and II together or Statement II and III together is sufficient to answer the question.

Each of the questions below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.What is the respective speed of 2 trains, P and Q of length 175 meters and 150 meters respectively? (Speed of Q > Speed of P)Statement I. They take 13 seconds to cross each other when they are running in the opposite direction.Statement II. The trains take 65 seconds to cross each other were running in the same direction.Statement III. The sum of the speed of P and Q is 25 m/sec.1. Either statement I and II together or Statement II and III together is sufficient to answer the question.2. The data in statement I alone is sufficient to answer the question.3. The data in statement I and II together are sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5. The data in all statements I, II, and III together are necessary to answer the question.

Answer» Correct Answer - Option 1 : Either statement I and II together or Statement II and III together is sufficient to answer the question.

Calculation:

Length of Train P = 175 m

Let the speed of the train be y.

Length of Train Q = 150 m

Let the speed of the train be x.

For Statement I:

325 = (x + y) × 13

⇒ x + y = 25 ----(i)

Statement I alone is not sufficient to answer the question.

For statement II:

325 = (x - y) × 65

⇒ x - y = 5 ----(ii)

Statement II alone is not sufficient to answer the question.

But if we combine both statements I and II then we can find the Speed.

For statement III:

x + y = 25 ----(iii)

Statement III alone is not sufficient to answer the question.

But if we combine statements II and III we can find the Speed.

∴ Either statement I and II together or Statement II and III together is sufficient to answer the question.

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