IIT JEE Practice Question and Answer

Q: Althaf borrows Rs. 1500 from two moneylenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 14% per annum for the other. The total interest he pays for the entire year is Rs. 186. How much does he borrow at the rate of 12% ? 2888 0

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    Rs. 300
    Correct
    Wrong
  • 2
    Rs. 400
    Correct
    Wrong
  • 3
    Rs. 1200
    Correct
    Wrong
  • 4
    Rs. 1100
    Correct
    Wrong
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Answer : 3. "Rs. 1200"
Explanation :

Answer: C) Rs. 1200 Explanation: Let Althaf lent Rs. A at 14% per year.Hence, Money lent at 12% = (1500-A);Given, total interest = Rs. 186.{(A x 14x 1)/100} + {[(1500-A) x 12 x 1/100]} = 186;14A/100 + (18000 -12A)/100 = 186;14A + 18000 - 12A = 186x100;2A = 18600-18000;A = 600/2 = Rs. 300.Hence, money lent at 12% = 1500-300 = Rs. 1200.

Q: Fill in the blanks with suitable prepositions from the given options. The dog was sitting _______ the table waiting _______ catch the ball that was thrown ________ him _________ his master. 2887 0

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    below, for, to, by
    Correct
    Wrong
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    under, for, towards, by
    Correct
    Wrong
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    up, to, towards, by
    Correct
    Wrong
  • 4
    under, to, towards, by
    Correct
    Wrong
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Answer : 4. "under, to, towards, by"
Explanation :

Answer: D) under, to, towards, by Explanation: The dog was sitting under the table waiting to catch the ball that was thrown towards him by his master.

Q: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ? 2886 0

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    68%
    Correct
    Wrong
  • 2
    80%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    100%
    Correct
    Wrong
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Answer : 4. "100%"
Explanation :

Answer: D) 100% Explanation: When 3 passengers income was 3xexpense= Rs.30 profit =20% of 30 = Rs.6 That means his earning is Rs.36. so that per passenger fare must be Rs.12. When 4 passengersearning = 12x4=Rs.48.expense =Rs.24.profit = Rs.24 = 100%

Q: Fish and other aquatic creatures can live inside a deep frozen pond because 2885 0

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    fish are cold-blooded animals
    Correct
    Wrong
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    ice is a bad conductor of heat
    Correct
    Wrong
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    there will always be water just beneath the ice level
    Correct
    Wrong
  • 4
    they can adapt themselves to live in ice
    Correct
    Wrong
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Answer : 3. "there will always be water just beneath the ice level"
Explanation :

Answer: C) there will always be water just beneath the ice level Explanation: Water has the maximum density at 4oC. So at this temperature, it sinks down to bottom and stays here. If it cools further, it will become less dense and move up. So while the upper layers can cool enough to form ice, the bottom layers remain as water at  4oC .   Therefore, (C) is correct.

Q: I. a2-7a+12 = 0, II. b2-3b+2 = 0 Solve both the equations to find the values of a and b  ? 2882 0

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    if a > b
    Correct
    Wrong
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    if a < b
    Correct
    Wrong
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    if the relationship between a and b cannot be established.
    Correct
    Wrong
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    if a ≤ b
    Correct
    Wrong
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Answer : 1. "if a > b"
Explanation :

Answer: A) if a > b Explanation: I.  (a - 3)(a - 4) = 0   => a = 3, 4   II.   (b - 2)(b - 1) = 0   => b = 1, 2   => a > b

Q: Majid Gyre is a feature of which of the following Oceans  ? 2881 0

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    Indian Ocean
    Correct
    Wrong
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    Pacific Ocean
    Correct
    Wrong
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    Atlantic Ocean
    Correct
    Wrong
  • 4
    Arctic Ocean
    Correct
    Wrong
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Answer : 1. "Indian Ocean"
Explanation :

Answer: A) Indian Ocean Explanation: The Indian Ocean consists of one gyre, the Indian Ocean (Majid) Gyre, which exists mostly in the Southern Hemisphere. It is named after Ahmad Bin Majid, the 15th-century Arab mariner. Following shows the Oceans and their respective Gyres  Indian Ocean            -        Majid Gyre North Atlantic Ocean   -       Columbus Gyre South Atlantic Ocean  -       Prince Henry Gyre North Pacific Ocean     -      Turtle Gyre South Pacific Ocean    -       Heyerdahl Gyre

Q: Sony is one-fifth the age of her mother 15 years ago and Sony’s brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brother’s ages is 31 then how old is Sony's mother ? 2877 0

  • 1
    40
    Correct
    Wrong
  • 2
    50
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    70
    Correct
    Wrong
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Answer : 2. "50"
Explanation :

Answer: B) 50 Explanation: Sony and her brother's age sum is 31Let Sony's mother's age be 'x'.Now the conditions given for both of their ages related to their mom is1/5(x-15) + 3/5(x-10) = 31x-15 + 3x-30 = 1554x-45 = 1554x = 200x = 50So, Mother's age = 50. Cross verification : 15 years ago age = 35 => Sony age = 710 years ago age = 40 => bro age = 24 Sum = 24 + 7 = 31.

Q: निम्नलिखित में से कौन सा सॉफ्टवेयर नहीं है? 2876 0

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    Compiler
    Correct
    Wrong
  • 2
    Adobe
    Correct
    Wrong
  • 3
    Microsoft Office
    Correct
    Wrong
  • 4
    Drivers
    Correct
    Wrong
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Answer : 1. "Compiler"
Explanation :

Answer: A) कंपाइलर स्पष्टीकरण: एक कंपाइलर एक सॉफ्टवेयर नहीं है। Adobe, Microsoft Office और Drivers सभी कंप्यूटर के सॉफ़्टवेयर हैं।

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