IIT JEE Practice Question and Answer

Q: Guwahati High Court is the Judicature of 2881 0

  • 1
    Arunachal Pradesh
    Correct
    Wrong
  • 2
    Nagaland
    Correct
    Wrong
  • 3
    Assam
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation:

Q: A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream? 2879 0

  • 1
    72 km
    Correct
    Wrong
  • 2
    36 km
    Correct
    Wrong
  • 3
    56 km
    Correct
    Wrong
  • 4
    42 km
    Correct
    Wrong
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Answer : 1. "72 km"
Explanation :

Answer: A) 72 km Explanation: Rate of her upstream = 12/2.5 = 4.8 km/hr Then, ATQ Rate of downstream = 4.8 x 3 = 14.4 km/hr   Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.

Q: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? 2877 0

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

Answer: C) 4 Explanation: Let the number of boys in the group originally be x.Total weight of the boys = 30xAfter the boy weighing 35 kg joins the group, total weight of boys = 30x + 35So 30x + 35 + 31(x + 1) = > x = 4.

Q: When a women sells 20 articles for Rs. 160, there is 40% loss. How many articles should she sell for Rs. 240 in order to earn 20% profit ? 2872 0

  • 1
    16
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
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Answer : 2. "15"
Explanation :

Answer: B) 15 Explanation: Given when she sells at Rs. 160 for 20 articles, she get 40% loss.   Then, to get 20% profit selling at Rs. 240 for let 'P' articles   => 1602060=240p120   => 120 x 160 x P = 20 x 70 x 240   => P =  15 articles.

Q: Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ? 2852 0

  • 1
    193 : 122
    Correct
    Wrong
  • 2
    97 : 102
    Correct
    Wrong
  • 3
    115 : 201
    Correct
    Wrong
  • 4
    147 : 185
    Correct
    Wrong
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Answer : 1. "193 : 122"
Explanation :

Answer: A) 193 : 122 Explanation: Given the three mixtures ratio as (1:2),(2:3),(3:4) (1+2),(2+3),(3+4) Total content = 3,5,7   Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105 105/3 = 35 , 105/5 = 21 , 105/7 = 15   Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)  i.e (35,70), (42,63), (45,60)   So overall mixture ratio of milk and water is 35+42+45 : 70+63+60 122:193   But in the question asked the ratio of water to milk = 193 : 122

Q: Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ? 2851 0

  • 1
    4 hrs 10 min
    Correct
    Wrong
  • 2
    3 hrs 15 min
    Correct
    Wrong
  • 3
    3 hrs 30 min
    Correct
    Wrong
  • 4
    4 hrs 1 min
    Correct
    Wrong
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Answer : 3. "3 hrs 30 min"
Explanation :

Answer: C) 3 hrs 30 min Explanation: Let the speed of boat and stream be x and y kmph respectively. According to question d/x+y + d/x-y = 5h 15m or 21/4 hrs ......(i) and 2d/x-y = 7...... (ii) From eq. (i) and (ii) 2d/x+y = 7/2 Hence, Amith will take to row 2d km distance downstream in 7/2 hrs = 3.5 hrs = 3 hrs 30 min.

Q: Which of the following is the primary purpose of the DSM? 2845 0

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    Understanding the causes of mental disorders
    Correct
    Wrong
  • 2
    Placement of mental disorders in appropriate cultural context
    Correct
    Wrong
  • 3
    Diagnosis of mental disorders
    Correct
    Wrong
  • 4
    Selection of appropriate psychological therapies for mental disorders
    Correct
    Wrong
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Answer : 3. "Diagnosis of mental disorders"
Explanation :

Answer: C) Diagnosis of mental disorders Explanation: The DSM is the Diagnostic and Statistical Manual of Mental Disorders; it is currently in its fifth edition. The DSM is published by the APA, American Psychiatric Association. It is a crucial resource in the fields of psychology and psychiatry.

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Answer : 1. "84 years"
Explanation :

Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84

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