Amit travels a certain distance with 3 bikes- A, B and C. The speed of bike C is 1 km/hour less than the speed of bike B, the speed of bike B is one less than the bike A. Amit travelled 330 km with bike A. He travelled a distance which is 120 km less than the previous distance of bike B and the distance he travelled on bike C was 60 km more than the distance he travelled at bike B. He took a total time of 81 hours to travel the entire distance on 3 bikes. Find the speed of bike A?

If Rati travels at his usual speed for ‘x’ hours, he covers the same distance as he covered when he travels at a speed 30 km/hr less than usual, but for (x + 3) hours. Which of the following can be determined? (A) If he travels at 20 km/hr less speed than usual, he can cover a distance of 240 km in (x - 1) hours. What is the value of ‘x’? (B) If travels at his usual speed for (t + 2) hours, and at 50% of his usual speed for (t - 2) hours, his average speed for the journey is 68 km/hr. What is his usual speed? (C) His usual speed (in km/hr) is a multiple of 5 between 40 and 50 (both inclusive). If ‘x’ is a whole number, what is his usual speed? (D) If he travels at his usual speed for ‘t’ hours, he covers a distance of 400 km. What is the value of ‘x’?

A

Only A, B and D

B

All A, B, C and D

C

Only B and D

D

Only A and D

E

Only B and C

The speed of six bikes B1, B2, B3, B4, B5 and B6 has been compared. The speed of the B6 exceeds just three bikes. No two bikes have the same speed. The speed of B4 is more than that of B2 but less than that of B6. The speed of B3 is not less than that of B5. The speed B2 is not minimum. If the speed of B5 is not less than that of B2, then which of the following pair of bikes has more speed than that of B4?

A

B2, B3

B

B5, B3

C

B6, B1

D

B1, B5

If the sum of the total time taken by boats X1 to travel D km each upstream and X2 to travel downstream is 4 hours and the sum of the total time taken by boats X1 to travel downstream and X2 to travel upstream the same distance D km each is 12 hours. Time taken by X2 to travel upstream exceeds its downstream time by t1 hours. Similarly, the time taken by X1 to travel upstream exceeds its downstream time by t2 hours. What is the value of (t1 - t2)?

A

2

B

4

C

6

D

8

In a two wheeler showroom, seven bikes of different companies - L, M, N, O, P, Q and R are facing east in the following order: Bike L is to the immediate right of R. Bike R is fourth to the right of N. Bike O is between two bikes M and Q Bike N which is third to the left of M, is at one end, which of the bikes are on both the immediate sides of bike L?

A

Bikes M and R

B

Bikes N and O

C

Bikes P and R

D

Bikes M and O

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A person who travels a certain distance to his office by his car.If he increases his speed by 8 km/hr, he takes 2 hours less time but if he drives 8 km/hr slower, he takes 4 hours more time. Find the distance of office from home. Quantity B: A person who travels a certain distance to his office by his car. If he increases his speed by 10 km/hr, he takes 1 hour less time but if he further increases his speed by 5 km/hr, he takes further 20 minutes lesser time. Find the distance of office from home.

A

Quantity A > Quantity B

B

Quantity A < Quantity B

C

Quantity A ≥ Quantity B

D

Quantity A ≤ Quantity B

E

Quantity A = Quantity B or No relation.

Given below two statements, followed by four conclusions. Assume the facts in the statement to be true and decide which of the conclusion logically follows(s) from the statements. Statements: All birds are bikes. Some bikes are stools. Conclusions: I. Some birds are stools. II. Some birds are bikes. III. Some stools are bikes. IV. Some bikes are birds

A

None of the conclusion follows.

B

Only II, III and IV follow.

C

Only I and II follow.

D

Only II and III follow.

Mukesh wants to go to his uncle's house. For which he use cycle at a speed of 9 km/h and ride it for 3 hours. Then he took a bus and travelled for 4 hours at 60 km/h. Then he took a train for 8 hours at 80 km/h. and then took an autorikshaw to his uncle's house and travelled for 1 hour. Find the speed of the autorikshaw. If the distance travelled by the bus is 25% of the whole journey.

A

61 km/h

B

53 km/h

C

42 km/h

D

36 km/h

Each of the question 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. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.

A

The data in statement II alone is sufficient to answer the question, while the data in neither statement I nor III alone are sufficient to answer the question.

B

The data in either statement II or in Statement III alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C

The data is only statement III alone or in Statement I and II together are sufficient to answer the question.

D

The data in all Statement I, II and III together are not sufficient to answer the question.

E

If the data in all the Statement I, II and III together are necessary to answer the question.

You are given a question and two statements. Idientify which of the statements is/are sufficient to answer the question. Question: In a city, some people travel to work by bus, some people travel to work by train, some people travel to work by both bus and train, and some travel to work neither by bus, nor by train. The number of people who travel to work by both bus and train is how much less than the number of people who travel to work by neither? Statements: (1) In the city, there are 384 people who travel to work by bus. (2) In the city, there are 672 people who travel to work by train,

A

Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

B

Statements (1) and (2) together are not sufficient to answer the question.

C

Statement (2) alone is sufficient to answer the question, but statement (1) alone is not sufficient

D

Statement (1) alone is sufficient to answer the question, but statement (2) alone is not sufficient.

Directions: Four friends Raghu, Rajesh, Ramesh and Ravi complete their Graduation in different number of years. The one who took maximum time took eight years to complete his Graduation while the one who took least time took only three years to complete it.Ravi took more time only than Raghu and completed his Graduation in five years. Ramesh did not take longer time
than Rajesh to complete his Graduation. Question: Who took more years to complete his graduation among all ?

A

Ramesh

B

Raghu

C

Rajesh

D

Ravi

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