GRE Practice Question and Answer

Q: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ? 2325 0

  • 1
    521
    Correct
    Wrong
  • 2
    720
    Correct
    Wrong
  • 3
    420
    Correct
    Wrong
  • 4
    225
    Correct
    Wrong
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Answer : 2. "720"
Explanation :

Answer: B) 720 Explanation: Let last digit is 2when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.so for last digit = 2, total numbers=240   Similarly for 4 and 6When last digit = 4, total no. of ways =240and last digit = 6, total no. of ways =240so total of 720 even numbers are possible.

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Answer : 3. "Either b alone or a & b follows"
Explanation :

Answer: C) Either b alone or a & b follows Explanation: From statement (b)Average of 11 players = 11 x 28 = 308Average of 10 players = 10 x 27.3 = 273Age of captain = 308 - 273 = 35. From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers ageFrom the statement (c),the averge age of 3groups of 3players each was given,It means total 9 players age was given indirectly,1st group: 25 x 3 = 752nd group: 28 x 3 = 843rd group: 30 x 3 = 90Total  is 75 + 84 + 90 = 249Now {C + Y + (9 players age sum)}/11 = 28Y + 11 + Y + (249) = 28 x 11=3082Y+260=3082Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35 Therefore, statement b alone or a & c only is the answer.

Q: At what time between 3 and 4 o’clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ? 2322 0

  • 1
    3:15 2/8
    Correct
    Wrong
  • 2
    3:49
    Correct
    Wrong
  • 3
    3:49 1/11
    Correct
    Wrong
  • 4
    3:51
    Correct
    Wrong
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Answer : 3. "3:49 1/11"
Explanation :

Answer: C) 3:49 1/11 Explanation: On straight line means 180 degree angle.180 = 11/2 min – 30 hrs180 = 11/2 m – 30 × 3180 = 11/2 m – 90(180 + 90) 2 = 11 mm = 540/11 = 49 1/11 minutes.

Q: Which of the following pairs is mismatched? 2319 0

  • 1
    Pila globosa - pearl
    Correct
    Wrong
  • 2
    Kenia lacca - lac
    Correct
    Wrong
  • 3
    Apis indica - honey
    Correct
    Wrong
  • 4
    Bombyx mori - silk
    Correct
    Wrong
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Answer : 1. "Pila globosa - pearl"
Explanation :

Answer: A) Pila globosa - pearl Explanation: Pinctada vulgaris is a bivalve from which pearl is obtained.

Q: What travels around the world and stays in one spot? 2309 0

  • 1
    Slippers
    Correct
    Wrong
  • 2
    Walking stick
    Correct
    Wrong
  • 3
    Stamps
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Stamps"
Explanation :

Answer: C) Stamps Explanation: Stamps are what travel around the worldstaying in one spot. Slippers and walking stick can also travel around the world but they will not stay at one spot. So they are eliminated.

Q: O_er_t_o_ Complete the missing letters of the given word. 2298 0

  • 1
    Ordination
    Correct
    Wrong
  • 2
    Oterration
    Correct
    Wrong
  • 3
    Ovvulation
    Correct
    Wrong
  • 4
    Operation
    Correct
    Wrong
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Answer : 4. "Operation"
Explanation :

Answer: D) Operation Explanation:

Q: If a number 72k23l is divisible by 88. Then find value of k and l ? 2298 0

  • 1
    k=8 & l=2
    Correct
    Wrong
  • 2
    k=7 & l=2
    Correct
    Wrong
  • 3
    k=8 & l=3
    Correct
    Wrong
  • 4
    k=7 & l=1
    Correct
    Wrong
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Answer : 2. "k=7 & l=2"
Explanation :

Answer: B) k=7 & l=2 Explanation: If a number to be divisile by 88, it should be divisible by both "8" and "11" Check for '8' :For a number to be divisible by "8", the last 3-digit should be divisible by "8"Here 72x23y --> last 3-digit is '23y'So y=2 [ (i.e) 232 is absolutely divisible by "8"] Chech for '11' :For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"(7 + x + 3) - (2 + 2 + y)(7 + x + 3) - (2 + 2 + 2)(10 + x) - 6 should be divisible by "11"for x = 7=> 17 - 6 = 11 [ which is absolutely divisible by "11"] So x = 7 , y= 2.

Q: Rajan's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum of the present ages of all three of them is 125 years. What is the difference between the present ages of Rajan's daughter and Rajan's mather ? 2292 0

  • 1
    32 years
    Correct
    Wrong
  • 2
    48 years
    Correct
    Wrong
  • 3
    62 years
    Correct
    Wrong
  • 4
    50 years
    Correct
    Wrong
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Answer : 4. "50 years"
Explanation :

Answer: D) 50 years Explanation: Let Rajan's present age be 'x' years.=> Then his daughter's present age is = x/3 years.His mother's present age = 13x/9 yearsNow, according to the question,x + x/3 + 13x/9 = 125=> x = 125x9/25 = 45Therefore, required difference = 13x/9 - x/3 = 13x - 3x/9 = 10x/9=> 10 x 45/9 = 50 years.

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