Here in this blog , we are discussing about some basic aptitude questions in mathematics. Some of them are mentioned below .

1. Two trains of 100m long , moving in the opposite directions crosses each other in 8 seconds. One is moving twice as fast as the other. Then the speed of the faster train will be ?

SOLUTION :

Let   the speed of the slower train be x m /sec

Then the speed of the faster train will be 2x m/ sec

Total distance = 100 + 100 = 200 m

Their relative speed = 3x m/sec

Total time taken = 8 seconds

• Speed = Distance / Time taken
• 3x =  200 / 8
• 3x =   25        =>     x = 25 /3  m/sec

2x   =  50 /3   m/sec

= 50/3 * 18/5

• 2x =  60 kmph

Hence the speed of the faster train = 60 kmph

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2.Find the ______ that accompany these cartoons

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3.The passengers were afraid but the captain__________ that there was no danger. Answer : assured

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4.The angle of the elevation of the sun , when the length of the shadow was 3 times the height of the tree is ?

SOLUTION :

A

BC

Let the height of the tree = AB = x meters

• Length of the shadow = BC = 3x meters

Angle of elevation =  AB / BC  = 1 / 3 = tan 30o

Hence the angle of elevation = 30o

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5.Rover weighs less than Fido.

Rover weighs more than Boomer.

Of the three dogs, Boomer weighs the least.

If the first two statements are true then the third statement is______