GRE / GMAT : Sample Questions with Solution

  1) 3 pumps , working  8 hours a day  can empty a tank in 2 days , how many hours a day must  4

           pumps    work to empty the tank in 1 day?

                a) 9      b) 10     c) 11   d) 12

          Ans:  Let the required number of working hours per day be x

         More pumps Less working hours per day    (Indirect Proportion )

         Less days, More Working Hours per day       (Indirect Proportion )

          Pumps      4:3

                                                   ::    8: x

           Days         1:2  

            4*1*x=3*2*8

             x=3*2*8/4

               =12

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2)   If the cost of x metres  of  wire is d dollars , then what is the cost of  y metres of wire at the same

 rate?

a)      xy/d     b) xd      c) yd    d)yd/x

Cost of x metres =  d

Cost of 1 metre = d/x

Cost of y metres = (d/x)y= dy/x

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3) In   a camp, 95 men had provision for  200 days , After 5 days 30 men left  the camp. For how

   many days will the remaining food last now?

a)      180   b) 285      c)   139  18/19 d) none of these

Ans:  Let the remaining food will last for x days.

95  men had provisions for 195 days . 65 men had provision for x days.

Less men ,More days      (Indirect Proportion )

65 : 95 :: 195 : x    =>  65*x=95*195

x=95*195/65

   =285

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  4) A rope makes 70 rounds of the circumference of a cylinder whose radius of the base is 14cm. How

  many times can it go round a cylinder with radius 20 cm ?

a)      40    b)49   c)  100   d)None of these

Ans :  Let the required number of rounds be x

More radius , Less rounds    (Indirectly Proportional)

20:14 :: 70:x  =>  20*x=14*70

x = 14*70/20

=49

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   5) If 3/5 of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it?

a)      30 sec    b) 40 sec     c)  36 sec     d) 24 sec

Let the required time be x seconds.

Part Filled = 3/5  , Remaining part = (1-3/5) = 2/5

Less part , Less time (Direct proportion)

3/5  : 2/5 :: 60 : x =>  3/5*x =2/5*60

= > x=40

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