A car is traveling at uniform speed. The driver sees a milestone showing a two digit number which is a perfect square, after traveling for an hour the driver sees another milestone with the same digits in reverse order and after another hour the driver sees another milestone containing the same two digits as part of a three digit number. What is the speed of the car?
(A) 30 kmph
(B) 40 kmph
(C) 50 kmph
(D) 60 kmph
(E) 45 kmph

• first milestone driver see is 16,second is 61,&third is 106.
  so total distance traveled by him=106-16=90km
  time taken=2h
  so speed=distance/time=90/2=45kmph
  hence (e) is the ans.
• 14 years agoHelpfull: Yes(27) No(3)
• (E)45
  two digit numbers that are perfect square are 16,25,36,49,64,81
  now since two hours milestone number contains three digits that means he is going far away.
  now we will consider only 16,25,36,49 because their reverse are more then these number.
  now take 16 then after 1 hour milestone will be 61 and car travels 45 km(the speed in unit hour)
  again after one hour milestone will be 106 that contains 6 and 1.
  othe squares 25,36,49 can be checked,
  for example suppose milestone is 25 then after one hour it will be 52 that means car travels 27 km that is the speed of car per hour(unit is hour)
  th
• 14 years agoHelpfull: Yes(14) No(3)
• CHECK THE ANSWER FROM OPTIONS
  FIRSTLY TAKE 2 DIGIT NUMBER 16+45=61,61+45=106
• 14 years agoHelpfull: Yes(5) No(2)
• ans will be 45
  solution is 16,61 & 106
  average will be 45
• 14 years agoHelpfull: Yes(3) No(2)
• Ans:E(45)
  16
  16+45=61
  61+45=106
• 14 years agoHelpfull: Yes(2) No(2)
• ans:45kmph,it should be tried from options...
• 14 years agoHelpfull: Yes(1) No(3)
• Ans.E)45kmph
  Assume he saw 16
  then after 1 hr. distance ccovered is 45 km.so he will see 61 which is reverse of 16
  again after 1 hr. distance covered is 45 km so he will see 106(61+45) which contains 1 and 6.
• 14 years agoHelpfull: Yes(1) No(2)
• (E) 45 kmph
• 14 years agoHelpfull: Yes(0) No(1)