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Home Aptitude Problems on Trains See What Others Are Saying!
  • Question
  • Two trains Ajanta express and Taj express simultaneously started on two parallel tracks from Meerut to Nagpur, which are 390 km a part. The ratio of the speed of Ajanta express and Taj express is 6 : 7. After how long (in kms) travelling. Taj express exchanges the speed with Ajanta express so that both the trains reach at their destination simultaneously?


  • Options
  • A. 150 km
  • B. 190 km
  • C. 210 km
  • D. can't be determined

  • Correct Answer
  • 210 km 

    Explanation

    Basically they will exchange their speeds just after half of the time required for the whole journey. It means after covering 210 km distance they will exchange their speeds. check it out graphically for more clarification.


  • More questions

    • 1. 
      Shankara buys a watch for Rs. 1,950 in cash and sells it for Rs. 2,200 at a credit of 1 year. If the rate of interest is 10% per annum, he _____ :

    • Options
    • A. gains Rs. 55
    • B. gains Rs. 50
    • C. loses Rs. 30
    • D. gains Rs. 30
    • Discuss
    • 2. 
      ABCD is a rhombus with ? ABC = 56°, then ? ACD is equal to :

    • Options
    • A. 90°
    • B. 60°
    • C. 56°
    • D. 62°
    • Discuss
    • 3. 
      The shaded region represents

    • Options
    • A. y ? x
    • B. y ? ? x
    • C. y ? x
    • D. y ? ? x
    • Discuss
    • 4. 
      45 x? = 25% of 900

    • Options
    • A. 16.20
    • B. 4
    • C. 5
    • D. 500
    • Discuss
    • 5. 
      Rajan sold an articles for ? 6000 at a loss of 25%. Find the cost price.?

    • Options
    • A. ? 7500
    • B. ? 7200
    • C. ? 8000
    • D. ? 8500
    • Discuss
    • 6. 
      In which of the following cases, A = B?

    • Options
    • A. A = {12, 14, 16}, B = {16, 18, 20}
    • B. A = ?, b = {}
    • C. A = {x: x ? W and x < 1}, B = ?
    • D. A = {x: x is a day of the week beginning with S}, B = {Sunday}
    • Discuss
    • 7. 10, 25, 45, 54, 60, 75, 80

    • Options
    • A. 10
    • B. 45
    • C. 54
    • D. 75
    • Discuss
    • 8. 
      If two parallel lines are intersected by a transversal, then the bisectors of the two pairs of interior angles enclose a:

    • Options
    • A. Trapezium
    • B. Rectangle
    • C. Square
    • D. circle
    • Discuss
    • 9. 
      ?. 6x 2 + 77x + 121 = 0
      ?. y 2 + 9y ? 22 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 10. 
      The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is?

    • Options
    • A. 147 sq. cm
    • B. 210 sq. cm
    • C. 154 sq. cm
    • D. 77 sq. cm
    • Discuss


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