IIT JEE Practice Question and Answer

Q: Q's mother is sister of P and daughter of M who is brother of R. S is daughter of P and sister of T. How is M related to T ? 1622 0

  • 1
    Grand father
    Correct
    Wrong
  • 2
    Grand mother
    Correct
    Wrong
  • 3
    Grand father or Grand mother
    Correct
    Wrong
  • 4
    Can't be determined
    Correct
    Wrong
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Answer : 1. "Grand father"
Explanation :

Answer: A) Grand father Explanation: Q's mother is sister of P and daughter of M => P is the child of M.S is daughter of P and sister of T, so P is parent of T too.M ----> parent --------> P ------------>parent -------------> TBut given M is brother of R => M is male. So, M is grandfather of T.

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Answer : 2. "26.166 minutes"
Explanation :

Answer: B) 26.166 minutes Explanation: Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120 For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120 So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120 So remaining tank = 13/120 Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes   Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.

Q: The average of the ages of Sushanth, Krish and Rishi is 43 years and the average of the ages of Sushanth, Rishi and Rohit is 49 years. If Rohit is 54 years old, what is Krish's age ? 1377 0

  • 1
    34 years
    Correct
    Wrong
  • 2
    26 years
    Correct
    Wrong
  • 3
    24 years
    Correct
    Wrong
  • 4
    36 years
    Correct
    Wrong
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Answer : 4. "36 years"
Explanation :

Answer: D) 36 years Explanation: Let present ages of Sushanth = w, Krish = x, Rishi = y and Rohit = z , thenw + x + y = 43 x 3 = 129 ---(i) andw + y + z = 49 x 3 = 147 ---(ii)Subtracting (i) from (ii), (w+y+z) - (w+x+y) = 147 - 129 , z - x = 18 ---(iii)Given Rohit's age=z=54, so from (iii), x = 54 - 18 = 36.Therefore, Krish age is 36 years.

Q: A can do a work in 9 days, B can do a work in 7 days, C can do a work in 5 days. A works on the first day, B works on the second day and C on the third day respectively that is they work on alternate days. When will they finish the work ? 939 0

  • 1
    [7 + (215/345)] days
    Correct
    Wrong
  • 2
    [6 + (11/215)] days
    Correct
    Wrong
  • 3
    [6 + (261/315)] days
    Correct
    Wrong
  • 4
    [5 + (112/351)] days
    Correct
    Wrong
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Answer : 3. "[6 + (261/315)] days"
Explanation :

Answer: C) [6 + (261/315)] days Explanation: After day 1, A finishes 1/9 of the work. After day 2, B finishes 1/7 more of the total work. (1/9) + (1/7) is finished. After day 3, C finishes 1/5 more of total work. Total finished is 143/315. So, after day 6, total work finished is 286/315.   Now remaining work =  29 /315   On day 7, A will work again    Work will be completed on day 7 when A is working. He must finish 29/315 of total remaining work.   Since he takes 9 days to finish the total task, he will need 261/315 of the day.    Total days required is 6 + (261/315) days.

Q: Which nation plans to build the first city on Mars by 2117 ? 1272 0

  • 1
    India
    Correct
    Wrong
  • 2
    United Arab Emirates
    Correct
    Wrong
  • 3
    China
    Correct
    Wrong
  • 4
    Russia
    Correct
    Wrong
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Answer : 2. "United Arab Emirates"
Explanation :

Answer: B) United Arab Emirates Explanation: The President and Vice-President of United Arab Emirates Sheik Mohamed bin Zayed Al Nahyan and Shaik Mohammed bin Rashid Al Maktoum announced in Febraury 2017 that they are planning to build the first inhabitable human settlement on Mars by 2117.

Q: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm) 1172 0

  • 1
    80%
    Correct
    Wrong
  • 2
    70%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    62%
    Correct
    Wrong
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Answer : 1. "80%"
Explanation :

Answer: A) 80% Explanation: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.   After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.   So % of water = 100 x 60/75 = 80%.

Q: The payment per hour for a daily-wages employee is increased by 33.33 and the working time is reduced by 33.33%. What is the percentage change in the employee's income ? 1270 0

  • 1
    11.11% decrease
    Correct
    Wrong
  • 2
    21.11% increase
    Correct
    Wrong
  • 3
    11.11% increase
    Correct
    Wrong
  • 4
    21.11% decrease
    Correct
    Wrong
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Answer : 1. "11.11% decrease"
Explanation :

Answer: A) 11.11% decrease Explanation: If earlier he is getting Rs. 1  per hr and working for 1 hr, income = Rs. 1Now he is getting Rs 1.3333 per hr and working for 0.66667 hrs Then income for 0.66667 hrs = Rs. 0.8889. If payment per hr is increased by 33.33 %  and working hours dereased by 33.33%, then 11.11 % decrease in income.

Q: A farmer divides his herd of k cows among his 4 sons, so that one son gets one half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth gets 9 cows. Then k is equal to ? 1136 0

  • 1
    160
    Correct
    Wrong
  • 2
    120
    Correct
    Wrong
  • 3
    140
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 4. "180"
Explanation :

Answer: D) 180 Explanation: Given total number of cows = kNow, 1st son share = k/22nd son share = k/43rd son share = k/54th son share = 9 (k) + (k/4) + (k/5) + 9 = k=> k - (19k/20) = 9=> (20k-19k)/20 = 9=> k = 180.

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