IIT JEE Practice Question and Answer

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? 3410 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: Optimist is to cheerful as Pessimist is to 3409 0

  • 1
    Helpful
    Correct
    Wrong
  • 2
    Mean
    Correct
    Wrong
  • 3
    Petty
    Correct
    Wrong
  • 4
    Gloomy
    Correct
    Wrong
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Answer : 4. "Gloomy"
Explanation :

Answer: D) Gloomy Explanation: The given words are related in a way that, an optimist is a person whose outlook is cheerful. Similarly, a pessimist is a person whose outlook is gloomy.   The answer is not (b) because a pessimist does not have to be mean. Options (c) and (a) are incorrect because neither words describe the outlook of a pessimist.   Hence, Optimist is to cheerful as Pessimist is to Gloomy.

Q: Rs. 7444 is divided among 5 ladies, 3 gents and 3 girls. The ratio of share of a lady, a gents and a girl is 7: 4: 3. What is the share of gents ? 3409 0

  • 1
    Rs. 1595.14
    Correct
    Wrong
  • 2
    Rs. 1793.4
    Correct
    Wrong
  • 3
    Rs. 595.14
    Correct
    Wrong
  • 4
    Rs. 1551.5
    Correct
    Wrong
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Answer : 1. "Rs. 1595.14"
Explanation :

Answer: A) Rs. 1595.14 Explanation: Ratio of the share of a lady, a gents and a girl is 7 : 4 : 3No of ladies, gents and girls are 5, 3, 3Thus effective ratio of ladies, gents and girls is 7 x 5 : 4 x 3 : 3 x 3 = 35 : 12 : 9so part of gents = (12/56) x 7444 = Rs. 1595.142so part of 1 gents = 1595.142/3 = Rs. 531.71.

Q: Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ? 3407 0

  • 1
    11.8
    Correct
    Wrong
  • 2
    12.9
    Correct
    Wrong
  • 3
    13.7
    Correct
    Wrong
  • 4
    14.5
    Correct
    Wrong
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Answer : 4. "14.5"
Explanation :

Answer: D) 14.5 Explanation: Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.k/l = 5/x ------ (1)k = m - 18 ------ (2)m + 9 = 47 ------ (3)k - l = m ----- (4)(3) => m = 47 - 9 = 38 years(2) => k = 38 -18 = 20 years(1) => 20/l = 5/x => l = 4x(4) => 4x - 20 = 38=> 4x = 58 => x = 14.5

Q: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ? 3407 0

  • 1
    A = 48000 B = 40000 C = 30000
    Correct
    Wrong
  • 2
    A = 30000 B = 40000 C = 48000
    Correct
    Wrong
  • 3
    A = 30000 B = 48000 C = 40000
    Correct
    Wrong
  • 4
    A = 40000 B = 48000 C = 30000
    Correct
    Wrong
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Answer : 2. "A = 30000 B = 40000 C = 48000"
Explanation :

Answer: B) A = 30000 B = 40000 C = 48000 Explanation: Compound ratio of A:B:CA:B = 3:4B:C = 5:6----------A:B:C = 15:20:24 We can divide Rs.118000 in this ratio. Share of A = 15/59 x 118000 = 30000 Share of B = 20/59 x 118000 = 40000 Share of C = 24/59 x 118000 = 48000

Q: Simplify the following equation 55.55 + 155 + 15.55 + 0.5 + 0.05 = ? 3407 0

  • 1
    226.65
    Correct
    Wrong
  • 2
    196.55
    Correct
    Wrong
  • 3
    202.35
    Correct
    Wrong
  • 4
    216.66
    Correct
    Wrong
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Answer : 1. "226.65"
Explanation :

Answer: A) 226.65 Explanation: 55.55 + 155 + 15.55 + 0.5 + 0.05 = ?    55.55 155.00  15.55    0.5    0.05 _______ 226.65 _______   Hence, the value of the given equation 55.55 + 155 + 15.55 + 0.5 + 0.05 = 226.65.

Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 3393 1

  • 1
    120 days
    Correct
    Wrong
  • 2
    119 days
    Correct
    Wrong
  • 3
    118 days
    Correct
    Wrong
  • 4
    117 days
    Correct
    Wrong
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Answer : 4. "117 days"
Explanation :

Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.

Q: Bijapur is known for its what? 3390 0

  • 1
    Statue of Gomateshwara
    Correct
    Wrong
  • 2
    Heavy rainfall
    Correct
    Wrong
  • 3
    Gol Gumbaz
    Correct
    Wrong
  • 4
    Severe Drought area
    Correct
    Wrong
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Answer : 3. "Gol Gumbaz"
Explanation :

Answer: C) Gol Gumbaz Explanation: Bijapur is known for its Gol Gumbaz. Bijapur city is well known for its historical monuments of architectural importance built during the rule of the Adil Shahi dynasty.   What is Gol Gumbaz ::   1. It is the tomb of Mohammed Adil Shah. This is the most famous monument in Bijapur.  2. It is the largest dome ever built in India. 3. A particular attraction in this monument is the central chamber, where every sound is echoed seven times. 4. Another attraction at the Gol Gumbaz is the Whispering Gallery, where even minute sounds can be heard clearly 37 metres away.   Statue of Gomateshwara - Shravanabelagola in Karnataka.   Heavy Rainfall - Cherrapunji in Meghalaya.

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