IIT JEE Practice Question and Answer

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Answer :
Explanation :

Let the speed of Kaushik be Sk and speed of Piyush be Sp and let the time taken by Piyush be t second then,  SkSp = 800t+20600t = 23since given ratio   t = 20 s   Speed of Piyush = Sp = 600/20 = 30 m/s   and    Speed of Kaushik = 800/40 = 20 m/s

Q: A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they had completed 4 rounds. If the race was only of one round, find the A's time over the course: 4110 0

  • 1
    8 min
    Correct
    Wrong
  • 2
    7.5 min
    Correct
    Wrong
  • 3
    12.5 min
    Correct
    Wrong
  • 4
    12 min
    Correct
    Wrong
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Answer : 2. "7.5 min"
Explanation :

Answer: B) 7.5 min Explanation: B runs around the track in 10 min.  i.e ,    Speed of B = 10 min per round  Therefore,  A beats B by 1 round   Time taken  by A to complete 4 rounds    = Time taken by B to complete 3 rounds    = 30 min    Therefore, A's speed = 30/4 min per round = 7.5 min per round  Hence, if the race is only of one round A's time over the course = 7 min 30 sec

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Answer : 2. "8"
Explanation :

Answer: B) 8 Explanation:     AmitBharatNo.of Days4540Efficiency2.22Percent(=145)2.5 Percent(=140)   Amit did the work in 56 days = 56×145×2=2845    Therefore, Rest work 17/45 was done by Amit and Bharath = 174517360 = 8 days       ( since Amit and Bharath  do the work in one day = 145+140=17360)

Q: A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs): 1816 0

  • 1
    200, 250, 300
    Correct
    Wrong
  • 2
    300, 200, 250
    Correct
    Wrong
  • 3
    200, 300, 400
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "300, 200, 250"
Explanation :

Answer: B) 300, 200, 250 Explanation: A's 5 days work = 50%   B's 5 days work = 33.33%  C's 2 days work = 16.66%     [100- (50+33.33)]  Ratio of contribution of work of A, B and C = 50 : 3313 : 1623 = 3 : 2 : 1    A's total share = Rs. 1500  B's total share = Rs. 1000  C's total share = Rs. 500     A's one day's earning = Rs.300   B's one day's earning = Rs.200   C's one day's earning = Rs.250

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Answer : 2. "8 hours"
Explanation :

Answer: B) 8 hours Explanation: Efficiency of Inlet pipe A = 4.16%       10024    Efficiency of Inlet pipe B = 5.83%      1001717     Therefore, Efficiency of A and B together = 100 %      Now, if the efficiency of outlet pipe be x% then in 10 hours the capacity of tank which will be filled = 10 *  (10 - x)   Now, since this amount of water is being emptied by 'C' at x% per hour, then    10x10-xx=2.5 hrs   => x = 8    Therefore, in 10 hours 20% tank is filled only. Hence, the remaining 80% of the  capacity will be filled by pipes A and B  in 80/10 = 8 hours

Q: A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 6136 0

  • 1
    4%
    Correct
    Wrong
  • 2
    5%
    Correct
    Wrong
  • 3
    6%
    Correct
    Wrong
  • 4
    8%
    Correct
    Wrong
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Answer : 1. "4%"
Explanation :

Answer: A) 4% Explanation: SP of first article = Rs.1000   Profit = 20%  CP = SP x 100100+P% = Rs. 25003 SP of Second Article = Rs.1000  Loss = 20%  CP = SP x 100100-L% = Rs. 1250   So, Total SP = Rs.2000; Total CP = Rs.6250/3   As the CP is more than SP, he makes a loss.   Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3)   So, Loss Percent = Lossx100/CP = 4%

Q: By selling an article at Rs.800, a shopkeeper makes a profit of 25%.At what price should he sell the article so as to make a loss of 25%? 3895 0

  • 1
    Rs.720
    Correct
    Wrong
  • 2
    Rs.640
    Correct
    Wrong
  • 3
    Rs.540
    Correct
    Wrong
  • 4
    Rs.480
    Correct
    Wrong
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Answer : 4. "Rs.480"
Explanation :

Answer: D) Rs.480 Explanation: SP = Rs.800 ; Profit = 25%  CP = SP x 100100+P% = 800 x 100100+25 = 640    Now, CP = Rs.640   Loss = 25% = 25% of Rs.640 = Rs.160   Thus, SP = CP - Loss = Rs.640 - Rs.160 = Rs.480

Q: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? 3214 0

  • 1
    10000 and 15000
    Correct
    Wrong
  • 2
    15000 and 10000
    Correct
    Wrong
  • 3
    5000 and 20000
    Correct
    Wrong
  • 4
    20000 and 5000
    Correct
    Wrong
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Answer : 1. "10000 and 15000"
Explanation :

Answer: A) 10000 and 15000 Explanation: As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.   Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.   Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000   Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000

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