GRE Practice Question and Answer

Q: P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ? 2982 0

  • 1
    120
    Correct
    Wrong
  • 2
    240
    Correct
    Wrong
  • 3
    360
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 1. "120"
Explanation :

Answer: A) 120 Explanation: 1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone) so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1 so R share = (1/10) x 1200 = 120.

Q: First Bank to introduce Credit Card in India 2981 0

  • 1
    HSBC Bank
    Correct
    Wrong
  • 2
    ICICI Bank
    Correct
    Wrong
  • 3
    State Bank of India
    Correct
    Wrong
  • 4
    Central Bank of India
    Correct
    Wrong
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Answer : 4. "Central Bank of India"
Explanation :

Answer: D) Central Bank of India Explanation:   First Bank to introduce Credit Card in India - Central Bank of India First Bank to introduce ATM  -  HSBC, 1987 First Bank to introduce Internet Banking - ICICI Bank First Bank to introduce Mutual Funds - State Bank of India

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 ? 2957 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.

Q: If the rate increases by 2%, the simple interest received on a sum of money increases by Rs. 108. If the time period is increased by 2 years, the simple interest on the same sum increases by Rs.180. The sum is ? 2951 0

  • 1
    Rs. 540
    Correct
    Wrong
  • 2
    Rs. 415
    Correct
    Wrong
  • 3
    Rs. 404
    Correct
    Wrong
  • 4
    Data is not sufficient
    Correct
    Wrong
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Answer : 4. "Data is not sufficient"
Explanation :

Answer: D) Data is not sufficient Explanation: Let the sum be Rs. p, rate be R% p.a. and time be T years. Then,  P×T×(R+2)100-P×T×R100=108  ⇒2PT= 10800  ...... (1)  And,   P×R×(T+2)100-P×R×T100=180   ⇒2PR = 18000 ......(2) Clearly, from (1) and (2), we cannot find the value of pSo, the data is not sufficient.

Q: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8,748, its purchase price was ? 2941 0

  • 1
    Rs.14,000
    Correct
    Wrong
  • 2
    Rs.12,000
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 15,000
    Correct
    Wrong
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Answer : 2. "Rs.12,000"
Explanation :

Answer: B) Rs.12,000 Explanation: We have P = 8748, R = -10 and n = 3Therefore, the purchase price of the machine= P1+R100n= 87481-101003= 8748 x (100/90) x (100/90) x (100/90)= 12,000.   Therefore, the purchase price of the machine was Rs. 12,000.

Q: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? 2930 0

  • 1
    145
    Correct
    Wrong
  • 2
    165
    Correct
    Wrong
  • 3
    175
    Correct
    Wrong
  • 4
    135
    Correct
    Wrong
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Answer : 3. "175"
Explanation :

Answer: C) 175 Explanation: Given that,  working days = 5  working hours = 8  A man get rupess per hour is Rs.2.40  So in one day the man get total rupees is 2.40 x 8 = 19.2  So in 5 days week the man get total rupees is 19.2 x 5 = 96  So in 4 week the man get total rupees is 96 x 4 = 384  So the man worked for = 160hours in 4 weeks    But given that the man earned Rs.432    Hence remaning money is (432-384 = 48)which is earn by doing overtime work   Overtime hours  = 48/3.20 = 15 So total worked hours is = 15 + 160 = 175.

Q: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ? 2923 0

  • 1
    17 + 4/7 days
    Correct
    Wrong
  • 2
    13 + 1/3 days
    Correct
    Wrong
  • 3
    15 + 3/2 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 2. "13 + 1/3 days"
Explanation :

Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.

Q: A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race ? 2897 0

  • 1
    3 times
    Correct
    Wrong
  • 2
    4 times
    Correct
    Wrong
  • 3
    5 times
    Correct
    Wrong
  • 4
    2 times
    Correct
    Wrong
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Answer : 1. "3 times"
Explanation :

Answer: A) 3 times Explanation: Let us assume A is the faster and B is slower, A takes 10s to finish a lap of 50 m, B takes 17s(approx) to finish a lap of 50 m.So at 11th sec A starts his 2nd lap by the time B will be in between so that is the first time they will meet each other, at 21st sec A starts his 3rd lap by the time B will be coming back to finish his 2nd lap. So that is the second time they meet in opposite. Then at 31st sec A will start his 4th lap by the time B would not even finish 2nd lap as he take 34(2*17) sec to finish 2 laps. So at 35th sec B will start his 3rd lap by the time A will be coming back to finish his 4th lap in the half way so they will meet 3rd time. At 41st sec A will start its fifth lap by the time B will be going to finish 3rd lap in same direction. At 50th second both will complete A's 5th lap and B's 3rd lap. So they will start next lap(A's 6th and B's 4th) from the same point in same direction. And A will finish the race after completing 300m(6*50) total distance and then they wont meet opposite to each other. So totally they met 3 times in opposite direction.

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