Quant problems for Revised GRE pattern

These are some problems from the Maths review doc provided by ETS. Can somebody provide the solutions??

Q 1. When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the remainder is 1. What is the least possible value of n?

Q 2. Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed of each car for the 2-hour trip?

Q 3. A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.
(a) What is the fixed total cost to charter the aircraft?
(b) What is the cost per person if 40 people charter the aircraft?


  • Reya
    2.Speed of slower car x=48,speed of faster car=x+8=56.
  • Ankita Katdare
    Ankita Katdare
    I think all the 3 answers by Praveena are correct. ๐Ÿ‘
  • gretaker
    1. Ans is 11
    The other two are correct ๐Ÿ˜€
  • Reya
    @Gretaker : How?
  • Saandeep Sreerambatla
    Saandeep Sreerambatla
    When you write the first question in equations format, you get:

    3x+2 = N
    5y + 1 = N

    Solving these equations you get: 5y-3x = 1.
    The least possible is y = 2 and x = 3 so n = 11.
  • gretaker
    Exactly. You have to check for the least possible values.
    1. 11
    2. 52miles/hr average
    3. $4800 for 40 people

    Praveena's answers are correct.

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