GRE Practice Question and Answer

Q: A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ? 2776 0

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    4% p.a.
    Correct
    Wrong
  • 2
    6% p.a.
    Correct
    Wrong
  • 3
    8% p.a.
    Correct
    Wrong
  • 4
    12% p.a.
    Correct
    Wrong
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Answer : 4. "12% p.a."
Explanation :

Answer: D) 12% p.a. Explanation: If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate. Let the earlier rate of interest be x%. Now it will be (x + 3)% % increase = (x + 3) - x/x * 100 = 25=> x = 12%

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Answer : 4. "A, B, P, U, S"
Explanation :

Answer: D) A, B, P, U, S Explanation: From the given information;  Members   Sex    Profession        A         M          Advocate     Q         F           Doctor     B         M          Advocate     R         F           Advocate     C         M          Doctor     S         F           Doctor     D         M          Doctor     T         F           Teacher     E         M          Teacher     U         F           Teacher     P         F           Doctor  Answer (D)  From option (D) A and B are two male advocates, P and S are two female doctors and u is female teacher.

Q: Cup is to Coffee as Bowl is to 2768 0

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    Soup
    Correct
    Wrong
  • 2
    Food
    Correct
    Wrong
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    Fork
    Correct
    Wrong
  • 4
    Mug
    Correct
    Wrong
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Answer : 1. "Soup"
Explanation :

Answer: A) Soup Explanation: Cup : Coffee :: Bowl : Soup Because Coffee goes into a Cup and Soup goes into a Bowl where Food is a general thing and Mug is an other utensil.  So, Cup is to Coffee as Bowl is to Soup.

Q: What can you catch but not throw? 2759 0

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Answer :
Explanation :

A cold or flu illness.

Q: A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ? 2754 0

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    88572
    Correct
    Wrong
  • 2
    77854
    Correct
    Wrong
  • 3
    99584
    Correct
    Wrong
  • 4
    55654
    Correct
    Wrong
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Answer : 1. "88572"
Explanation :

Answer: A) 88572 Explanation: Given a secret is told to 3 persons in 3 minutes.And if the process continues with each person saying 3 other persons,In 30 minutes => the rocess for 10 times because each person time is 3 minutes.Required number of persons = 3 + 32 + 33 + .... + 39 + 310   Now it forms a geometric progression,   Sum to n terms is S = arn - 1r - 1   Here a = 3, r = 3  => 59048 x 3 /2   = 88572.

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Answer :
Explanation :

A Windmill.

Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 2742 1

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    42.2 mts
    Correct
    Wrong
  • 2
    33.45 mts
    Correct
    Wrong
  • 3
    66.6 mts
    Correct
    Wrong
  • 4
    58.78 mts
    Correct
    Wrong
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Answer : 3. "66.6 mts"
Explanation :

Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.

Q: Three strategies P, Q and R have been initiated for cost cutting in a company producing respectively 20%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved ? 2739 0

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    49.6%
    Correct
    Wrong
  • 2
    50.4%
    Correct
    Wrong
  • 3
    33.67%
    Correct
    Wrong
  • 4
    66.66%
    Correct
    Wrong
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Answer : 1. "49.6%"
Explanation :

Answer: A) 49.6% Explanation: As these three strategies P, Q and R are independent so these will cut cost one after the other.If initial cost is Rs 100, then20% cost is cut after initializing strategy P, then cost will remain 80% = 80further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4 Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.

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