IIT JEE Practice Question and Answer

Q: A teacher multiplies 987 by a certain number and obtains 556781 as her answer. If in the answer, both 6 and 7 are wrong but the other digits are correct, then the correct answer will be 1215 0

  • 1
    553681
    Correct
    Wrong
  • 2
    555181
    Correct
    Wrong
  • 3
    556581
    Correct
    Wrong
  • 4
    555681
    Correct
    Wrong
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Answer : 4. "555681"
Explanation :

Answer: D) 555681 Explanation: Given number is 987 = 3 x 7 x 47. So, required number must be divisible by each one of 3, 7, 47. None of the numbers in 553681 and 555181 are divisible by 3. While 556581 is not divisible by 7.Correct answer is 555681.

Q: The difference between two numbers is 3355. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number and larger number respectively ? 1172 0

  • 1
    546, 3901
    Correct
    Wrong
  • 2
    415, 3770
    Correct
    Wrong
  • 3
    668, 4023
    Correct
    Wrong
  • 4
    404, 3759
    Correct
    Wrong
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Answer : 3. "668, 4023"
Explanation :

Answer: C) 668, 4023 Explanation: Let the smaller number be k.Then, larger number = (3355 + k)Therefore 3355 + k = (6k + 15)тА╣=тА║ 5k = 3340тА╣=тА║ k = 668. Therefore, the smaller number k = 668 and now the larger number = 3355+668 = 4023.

Q: K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ? 1047 0

  • 1
    15 days
    Correct
    Wrong
  • 2
    13 days
    Correct
    Wrong
  • 3
    12 days
    Correct
    Wrong
  • 4
    10 days
    Correct
    Wrong
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Answer : 1. "15 days"
Explanation :

Answer: A) 15 days Explanation: In one day work done by K = 1/20 Work done by K in 2 days = 1/10 ┬а Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10 Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5 ┬а 1/5th of the work will be completed at the end of 3 days. The remaining work = 1 - 1/5 = 4/5 1/5 of work is completed in 3 days Total work wiil be done in 3 x 5 = 15 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.

Q: The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ? 1191 0

  • 1
    32
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    44
    Correct
    Wrong
  • 4
    52
    Correct
    Wrong
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Answer : 1. "32"
Explanation :

Answer: A) 32 Explanation: Given ratio of number of sheep and horses = 4 : 15Let number of sheep and horses are 4k and 15k Number of horses = 13200/110 = 120 Now 15K = 120 and k = 8 Number of sheep = 4k = (4 x 8) = 32

Q: Raghu earns 25% on an investment but loses 10% on another investment. If the ratio of the two investment is 3:5. What is the gain or loss on two investments taken together ? 1275 0

  • 1
    1.251 %
    Correct
    Wrong
  • 2
    3.125 %
    Correct
    Wrong
  • 3
    7.21 %
    Correct
    Wrong
  • 4
    9.451 %
    Correct
    Wrong
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Answer : 2. "3.125 %"
Explanation :

Answer: B) 3.125 % Explanation: Taking the 2 investments to be 3x and 5x respectivelyTotal income of Raghu = (3x) x 1.25 + (5x) x 0.9 = 8.25Therefore, Gain% = 0.25/8 x 100 = 3.125 %.

Q: 19 persons do 19 programs in 19 hours . If they take 15 mins interval and then how much time they need to do 52 programs. 4423 0

  • 1
    23 hours
    Correct
    Wrong
  • 2
    47 hrs 15 min
    Correct
    Wrong
  • 3
    52 hrs 15 min
    Correct
    Wrong
  • 4
    22 hrs 15 min
    Correct
    Wrong
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Answer : 3. "52 hrs 15 min"
Explanation :

Answer: C) 52 hrs 15 min Explanation: Since they can do 19 programs in 19 hours, Then 52 programs in 52 hours respectively.And a 15 min intervalTotal time they take to do 52 programs is 52 hours 15 minutes.

Q: If 15 men 4 hours per day works for 14 days get Rs.35/- then how many men required if the work is 8 hours per day for 10 days they get 50/- ? 2592 0

  • 1
    12
    Correct
    Wrong
  • 2
    13
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 4. "15"
Explanation :

Answer: D) 15 Explanation: We know┬аM1├ЧD1├ЧH1W1┬а=┬аM2├ЧD2├ЧH2W2┬а ┬а =>┬а15├Ч4├Ч1435┬а=┬аM├Ч8├Ч1050 ┬а => M = 15

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