IIT JEE Practice Question and Answer

Q: How many digits will be there to the right of the decimal point in the product of 85.44 and .08455 ? 1123 0

  • 1
    7
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 4. "6"
Explanation :

Answer: D) 6 Explanation: Sum of decimal places = 7. Since the last digit to the extreme right will be zero (since 4 x 5 = 20), so there will be 6 significant digits to the right of the decimal point.

Q: The total of the ages of Ashok, Akbar and Anil is 65 years. What was the total of their ages six years ago ? 1086 0

  • 1
    59
    Correct
    Wrong
  • 2
    43
    Correct
    Wrong
  • 3
    57
    Correct
    Wrong
  • 4
    47
    Correct
    Wrong
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Answer : 4. "47"
Explanation :

Answer: D) 47 Explanation: Let their ages be x, y, zHence given that x + y + z = 65Now, six years ago x age is x - 6, y is y - 6 and that of z is z - 6Then the sum of their ages six years ago is (x + y + z) - (6 + 6 + 6) = 65 - 18 = 47

Q: If you write down all the numbers from 1 to 100, then how many times do you write 4 ? 1263 0

  • 1
    11
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
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Answer : 2. "20"
Explanation :

Answer: B) 20 Explanation: 4, 14, 24, 34, 44, 54, 64, 74, 84, 94 => has 11 number of (4's)40, 41, 42, 43, 45, 46, 47, 48, 49 => has 9 number of (4's)So, totally (11 + 9 = 20) number of 4's in 1 to 100.

Q: By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at ? 1302 0

  • 1
    Rs. 145
    Correct
    Wrong
  • 2
    Rs. 245.1
    Correct
    Wrong
  • 3
    Rs. 96
    Correct
    Wrong
  • 4
    Rs. 75
    Correct
    Wrong
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Answer : 3. "Rs. 96"
Explanation :

Answer: C) Rs. 96 Explanation: Michel earns Rs. 135 by investing Rs. 1620To earn Rs. 8 how much he have to invest...? = (8 x 1620)/135 = Rs. 96

Q: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ? 1346 0

  • 1
    60%
    Correct
    Wrong
  • 2
    50%
    Correct
    Wrong
  • 3
    70%
    Correct
    Wrong
  • 4
    45%
    Correct
    Wrong
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Answer : 3. "70%"
Explanation :

Answer: C) 70% Explanation: Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420. New C.P. = 125% of Rs. 100 = Rs. 125New S.P. = Rs. 420. Profit = Rs. (420 - 125) = Rs. 295 Required percentage = (295/420) * 100 = 70%(approx)

Q: The first effective vaccine against polio was prepared by ? 1382 0

  • 1
    Robert Edwards
    Correct
    Wrong
  • 2
    James Simpson
    Correct
    Wrong
  • 3
    H Gibbon
    Correct
    Wrong
  • 4
    Jonas E Salk
    Correct
    Wrong
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Answer : 4. "Jonas E Salk"
Explanation :

Answer: D) Jonas E Salk Explanation:

Q: If 6 engines consume 24 metric tonnes of coal, when each is working 8 hours day, how much coal will be required for 9 engines, each running 13hours a day, it being given that 2 engines of former type consume as much as 3 engines of latter type ? 2925 0

  • 1
    45 metric tonnes
    Correct
    Wrong
  • 2
    47 metric tonnes
    Correct
    Wrong
  • 3
    55 metric tonnes
    Correct
    Wrong
  • 4
    34 metric tonnes
    Correct
    Wrong
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Answer : 1. "45 metric tonnes"
Explanation :

Answer: A) 45 metric tonnes Explanation: 2 engines of former type for one hour consumes (2 x 24)/(6 x8) = 1 metric ton  i.e. 3 engines of latter type consumes 1 ton for one hour Hence 9 engines consumes 3 tons for one hour For 15 hours it is 15 x 3 = 45 metric tonnes.

Q: A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ? 1185 0

  • 1
    Rs. 185
    Correct
    Wrong
  • 2
    Rs. 154
    Correct
    Wrong
  • 3
    Rs. 200
    Correct
    Wrong
  • 4
    Rs. 177
    Correct
    Wrong
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Answer : 3. "Rs. 200"
Explanation :

Answer: C) Rs. 200 Explanation: Let the C.P be 'x'Then, the selling price S.P = x - 16x/100= 84x/100 = 21x/25Now, if the S.P is 60 more, then the profit is 14% => 21x/25 + 60 = x + 14x/100=> 114x/100 - 21x/25 = 60=> (57 - 42)x/50 = 60=> 15x/50 = 60x = 3000/15 = 200 Therefore, the Cost price C.P = x = Rs. 200

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