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Quantitative Aptitude DI

Here we are providing new series of Quantitative Aptitude Questions for upcoming exams, so the aspirants can practice it on a daily basis.

Study the following information carefully and answer the questions given below.

The below graph shows the speed (in kmph) of 2 persons while travelling by different mode of transport

The following table shows the percentage of distance travelled by both the persons P and Q by different modes of transport

1) If person Q completed his journey by ship in 3.75 hours, then what is the average of the distance travelled by him by train, by bus and by car?

A.200km

B.225km

C.250km

D.275km

E.None of these

2) Suppose, Instead of train, the person P uses Car and if the speed of car is 20% more than the speed of train, then approximately how many hours the person P would save? (Total distance travelled by person P by train is 300km)

A.1 hour

B.1.25 hours

C.1.5 hours

D.2 hours

E.None of these

3) Which of the following statement is definitely true? (Assume that the total distance travelled by person P is 1200km and the total distance travelled by person Q is 1500km)

I: Person P completed his journey by Bus in 6 hours.

II: Person Q completed his journey by Flight in 9 hours.

III: Total time of 12 hours taken by person P to complete his journey by bus and car together.

A.Both I and II

B.Both II and III

C.Only I

D.Only II

E.Only III

4) If person Q completes his journey by Flight in 9 hours, then what is the total distance travelled by person Q in his whole journey?

A.1200km

B.1300km

C.1500km

D.1600km

E.None of these

5) If person P travels 300km by train, then what is the total time taken by person P to travel by Bus and Car together?

A.4 hours

B.8 hours

C.12 hours

D.15 hours

E.None of these

Answers :

1) Answer: D

Distance travelled by Q = Y km

Distance travelled by ship by person Q = 60 * 3.75 = 225 km

Y * 15/100 = 225

=> Y = 1500 km

Distance travelled by train by person Q = 1500 * 20/100 = 300km

Distance travelled by Bus by person Q = 1500 * 10/100 = 150km

Distance travelled by Car by person Q = 1500 * 25/100 = 375km

Average distance = (300 + 150 + 375)/3 = 275km

2) Answer: B

Speed of car = 120/100 * 40 = 48kmph

Required time = 300/40 – 300/48 = 1.25 hours

3) Answer: B

From I => Time taken by person P by Bus = (20% of 1200)/60 = 4 hours ≠ 6 hours

This statement is not true.

From II => Time taken by person Q by Flight = (30% of 1500)/50 = 9 hours

This statement is true.

From III => Time taken by person P by bus and car together = (20% of 1200)/60 + (40% of 1200)/60 = 12 hours

This statement is true.

4) Answer: C

Total distance travelled by person Q = Y km

Distance travelled by person Q by flight = 50 * 9 = 450km

Y * 30/100 = 450 => Y = 1500km

5) Answer: C

Total distance travelled by P = X km

25/100 * X = 300 => X = 1200km

Time taken by P to travel by train and Car = (1200 * 20)/(60 * 100) + (1200 * 40)/(60 * 100)

= 4 + 8 = 12 hours