GRE Practice Question and Answer

Q: The sum of one-half, one-third and one-fourth of a number exceeds the number by 22. The number is 1145 0

  • 1
    264
    Correct
    Wrong
  • 2
    284
    Correct
    Wrong
  • 3
    215
    Correct
    Wrong
  • 4
    302
    Correct
    Wrong
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Answer : 1. "264"
Explanation :

Answer: A) 264 Explanation: Let the number be 'x'. Then, from given data x/2 + x/3 + x/4 = x+2213x/12 = x+22x = 264

Q: A single pipe of diameter x has to be replaced by six pipes of diameters 12 cm each. The pipes are used to covey some liquid in a laboratory. If the speed/flow of the liquid is maintained the same then the value of x is ? 1507 0

  • 1
    14.69 cm
    Correct
    Wrong
  • 2
    29.39 cm
    Correct
    Wrong
  • 3
    18.65 cm
    Correct
    Wrong
  • 4
    22.21 cm
    Correct
    Wrong
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Answer : 2. "29.39 cm"
Explanation :

Answer: B) 29.39 cm Explanation: Volume of water flowing through 1 pipe of diameter x = Volume discharged by 6 pipes of diameter 12 cms.   As speed is same, area of cross sections should be same.    Area of bigger pipe of diameter x = Total area of 6 smaller pipes of diameter 12  i.e πR2 = 6πR12    Here R = R and R1 = 12/2 = 6    ⇒R2 = 6×6×6    R = 14.696    => D = X = 14.696 * 2 = 29.3938 cm.

Q: Population of a colony of mosquitoes is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ? 1453 0

  • 1
    Thursday
    Correct
    Wrong
  • 2
    Friday
    Correct
    Wrong
  • 3
    Tuesday
    Correct
    Wrong
  • 4
    Monday
    Correct
    Wrong
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Answer : 1. "Thursday"
Explanation :

Answer: A) Thursday Explanation: Given monday population = 3000Per day 20% increase in population. Tuesday population = 3000 + 3000x20/100 = 3000 + 600 = 3600 Wednesday population =3600 + 3600x20/100 = 3600 + 720 = 4320 Thursday population = 4320 + 4320x20/100 = 4320 + 864 = 5184 So that day is Thursday.

Q: An express train takes 4 seconds to enter tunnel which is 1 km long. If it is traveling at 108 km an hour, how long will it take to pass completely through the tunnel ? 1303 0

  • 1
    33 sec
    Correct
    Wrong
  • 2
    37.33 sec
    Correct
    Wrong
  • 3
    36.43 sec
    Correct
    Wrong
  • 4
    32 sec
    Correct
    Wrong
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Answer : 2. "37.33 sec"
Explanation :

Answer: B) 37.33 sec Explanation: Speed = 108 km/hrenter a tunnel,, means that the train covers a distance equal to its own lengthso (108 x 5/18) = x/4 where x= length of trainhence x = 120 mtrsto pass completely train has to travel a distance = (x + tunnel length) that is 1120 mtrs.so (1120/t) = (108x5/18)t = 37.33 sec

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 ? 1694 0

  • 1
    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 %.

Q: A group of men can complete a job in K hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of K ? 3359 0

  • 1
    7 hrs
    Correct
    Wrong
  • 2
    7.5 hrs
    Correct
    Wrong
  • 3
    8 hrs
    Correct
    Wrong
  • 4
    8.25 hrs
    Correct
    Wrong
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Answer : 2. "7.5 hrs"
Explanation :

Answer: B) 7.5 hrs Explanation: Let there are L men job requires LK man hours.   job completed in first 4 hrs = L x 4 = 4L job completed in next 4 hrs = 4 x L/2 = 2L job completed in next 4 hrs = 4 x L/4 = L job completed in last 4 hrs = 4 x L/8 = L/2 4L + 2L + L + L/2 = KL K = 7+1/2 = 7.5 hours.

Q: 5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ? 2958 0

  • 1
    24 and 13 years
    Correct
    Wrong
  • 2
    48 and 24 years
    Correct
    Wrong
  • 3
    35 and 11 years
    Correct
    Wrong
  • 4
    33 and 15 years
    Correct
    Wrong
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Answer : 3. "35 and 11 years"
Explanation :

Answer: C) 35 and 11 years Explanation: Let the age of sushma be x and the age of her son is yThen five years before x-5=5(y-5) ...(1)Five years hence x+5 = 3(y+5)-8 .....(2) By soving (1) & (2), we get5y - 15 = 3y + 7y = 11 => x = 35 Therefore, the age of Sushma = 35 and her son = 11.

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Answer : 4. "E = 4 & Y = 2"
Explanation :

Answer: D) E = 4 & Y = 2 Explanation: Let the the age of the elder boy = E   Let the the age of the younger boy = Y   Given that Y = cube root of EY   => Y3 = EY => E = Y2 .....(1)By the condition of number replacement the age of the father is YE   The Mother's age = EY/2   But she is 3 years less than father => EY/2 + 3 = YE2YE = EY + 6 ......(2)   Then now from the given options we can identify which satisfies the all the conditions.   Here Y =2 and E = 4 satisfies all the conditions.

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