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  • Verbal - 166
  • Quans - 170
  • Total - 336
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GRE Practice Test

GRE Practice: Problem Solving GRE Practice Test 2

Good you are taking our practice tests. But please make sure you complete all the practice problems from Official GRE Guide. Official GRE Guide is from the test makers(Yes You read it right they conduct the GRE exam worldwide.) ETS.:- The Official Guide to the GRE General Test, Third Edition
Powered by GreGuide Version 2.2.1 Copyrights 2007,

Question: 1

If the roots of the equation ax^2+cx+b=0 be equal, then which of the following is the correct value of b? Indicate the correct option.


  1. a2/4c
  2. -a2/4c
  3. -a/2c
  4. a/2c
  5. c22/4a

Correct Answer: E


For the roots to be equal, the discriminant has to be zero.




Option E is correct.

Question: 2

Alice can knit a sweater in 30 days, Laura in 20 days and Sandra in 60 days. How many days will they take to knit the sweater if they share their work? Indicate the correct option.

  1. 5
  2. 10
  3. 15
  4. 20
  5. 25

Correct Answer: B


Work done by Alice in one day = 1/30

Work done by Laura in one day = 1/20

Work done by Sandra in one day = 1/60

Work done by them working together in one day = 1/20+1/30+1/60

= (3+2+1)/60

= 6/60=1/10

Time taken to compete the work = 10 days

Option B is correct.

Question: 3

A boat takes 6 hours to go downstream and upstream a certain distance. It takes 4 hours to travel twice the distance downstream. Which of the following is the ratio of the speed of the boat in still water to the speed of the river? Indicate the correct option.

  1. 3:1
  2. 1:3
  3. 5:3
  4. 3:5
  5. 7:9

Correct Answer: A


Let the speed of the boat in still water be x and the speed of the river be y

Speed upstream = x-y

Speed downstream = x+y

Let the distance travelled be D

Time = Distance/Speed

D/(x+y) + D/(x-y) = 6 and 2D/(x+y) = 4

Putting D/(x+y)=2 ...(1) in the first relation, we get

2 + D/(x-y) = 6

D/(x-y) = 4 ...(2)

From (1) and (2), we get

(x+y)/(x-y) = 4/2 = 2




x/y = 3/1

Option A is true.

Question: 4

Which of the following is equal to 2% of 22% of 222? Indicate the correct option.

  1. 97.68
  2. 0.2442
  3. 24.42
  4. 48.84
  5. 0.9768

Correct Answer: E


2% of 22% of 222 = 2% of 22*222/100

= 2% of 48.84

= 0.9768

Option E is correct.

Question: 5

Which of the following is the average of the first 10 even numbers? Indicate the correct option.

  1. 20
  2. 15
  3. 10
  4. 5
  5. 18

Correct Answer: C


The numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Average = (2+4+6+8+10+12+14+16+18+20)/10

= 10

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