Aptitude [TCS Placement]: Sample Questions 161 - 165 of 174

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Question 161

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Two cyclists cover the same distance in 15 km/hr and 16 km/hr, respectively. Find the distance travelled by each, if one takes 16 min longer than the other does.

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Explanation

  • Let the required distance be x km. ‎The cyclist whose speed is less will take more time to cover the distance.
  • Let cyclist having 16 kmph speed takes x hours to cover the distance.
  • So, cyclist with 15 kmph speed will take ) hours to cover the distance.

  • So, Distance covered by each will be,

Question 162

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1/3 of a number is 6 more than 1/6 of the same number. What is the number?

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Explanation

Let the number be x.

1/3 of x = 1/6 of x + 6

The required number is 36.

Question 163

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What will be answer of following expression?

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Explanation

We already know that,

Substituting a = 40 and b = 31 in the given expression,

Question 164

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If x: y = 3 and x + y = 80, then what is the value of y?

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Explanation

  • Here, x: y = 3

x = 3y

  • Substituting the value of x in equation x + y = 80,

3y + y = 80

4y = 80

y = 80/4

y = 20

  • Value of y is 20.

Question 165

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Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hr. After traveling 6 hrs, 2hrs after it got dog. What will be the speed of dog?

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Explanation

  • Horse started to chase dog after 2 hours.
  • Speed of horse is 22 kmph.
  • After travelling for 6 hours, horse got the dog.
  • We are asked to find the speed of dog.
  • Distance covered by Horse in 6 hours = speed time

=

  • Dog will also cover the same distance but in hours time.
  • So, speed of dog =