CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

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A frog is sitting on vertex A of a square ABCD .It starts jumping to the immediately adjacent vertex on either side in random fashion and stops when it reaches point C.In how many ways can it reach point C if it makes exactly 7jumps. Ans:0

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1s are given 100 times 2s are given 100 times 3s are given 100 times. Arrange these 300 digits on any possible way how may will be a perfect square

Time and work sarvesh Kumar Verma level 3 question related to machines and units. Nuts and bolts answers please if any one can give.

The number of 2 digit positive integral values of m, for which the roots of the equation mx^2+(2m-1)x+(m-2)=0 are rational is

  • 9
  • 7
  • 10
  • 5

0 voters

A tank has two inlet pipes which can fill it in 10 hrs and 15 hrs respectively.it also has an outlet pipe which can empty it in 30 hrs.the inlet pipes are opened at 6 am.just when the tank was expected to be full,it was spotted that the outlet pipe had accidentally been left open.the outlet pipe was then closed.after how much more time will the tank be full?

Let f (x) be a polynomial of degree 51 such that when f (x) is divided by x-1 , x-2, x-3...x-51 it leaves 1 ,2 , 3 ...51 respectively as the remainders. Find the value of f (52)+f (0) .

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have you done the chapter number systems

  • yes
  • no
  • partially done

0 voters

If x is a real number what is the least possible value of the expression (2x+3)÷(x^2+2x+3) Please please do post the logic.

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Can anyone help me understand how to solve questions 15 and 16. Thanks in advance!

Please explain the method.

Reply with Easiest method plz

Q17

Can someone help me in this?

 Everyday, Deepak rides a bicycle on a road from point A to point B at a constant speed. Buses ply to and fro between points A and B. Everyday, Deepak, the bus going from A to B and the bus going from B to A meet at a roadside restaurant. Today, Deepak started 30 minutes later than his usual time. As a result, he met the bus going from B to A at a distance 5x short of the restaurant 5 minutes after the usual time. Similarly, he meets the bus going from A to B at a distance 8x short of the restaurant 10 minutes before the usual time. What is the ratio of the speeds of Deepak, the bus going from A to B and the bus going from B to A? 


Would be a great help if someone solves this and tells me the concept behind it. 

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In how many ways can 4 prizes each having 1st, 2nd and 3rd positions be given to 3 boys, if each boy is eligible to receive one prize for each event?