IIT JEE Practice Question and Answer

Q: How many such pairs of digits are there in the number 421579368 each of which has as many digits between them in the number as when they are arranged in ascending order? 6244 0

  • 1
    None
    Correct
    Wrong
  • 2
    One
    Correct
    Wrong
  • 3
    Two
    Correct
    Wrong
  • 4
    Three
    Correct
    Wrong
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Answer : 4. "Three"
Explanation :

Answer: D) Three Explanation: Given Number:     4  2  1  5  7  9  3  6  8   Ascending order:  1  2  3  4  5  6  7  8  9   Hence the required pairs are  12, 49, 16

Q: If it is possible to make a number which is the square of a two-digit odd number using the second, the fourth and the sixth digits of the number  93217648 and using each only once, which of the following is that two-digit odd number? 1396 0

  • 1
    17
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    15
    Correct
    Wrong
  • 4
    21
    Correct
    Wrong
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Answer : 2. "19"
Explanation :

Answer: B) 19 Explanation: Second, fourth and the sixth digits of the number are 3, 1 and 6. Using these digits only once we can make 361, which is a perfect square number. Hence, our answer is 19 x 19 = 361

Q: If the digits in the number 25673948 are arranged in ascending order from left to right, what will be the sum of the digits which are fourth from the right and third from the left in the new arrangement? 1331 0

  • 1
    10
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "10"
Explanation :

Answer: A) 10 Explanation: Given Number :      2 5 6 7 3 9 4 8   Ascending order :  2 3 4 5 6 7 8 9   Specified letters are 6 and 4 respectively.   Hence, required sum = (4 + 6 = 10)

Q: The purest form of iron is 1327 0

  • 1
    wrought iron
    Correct
    Wrong
  • 2
    steel
    Correct
    Wrong
  • 3
    pig iron
    Correct
    Wrong
  • 4
    nickel steel
    Correct
    Wrong
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Answer : 1. "wrought iron"
Explanation :

Answer: A) wrought iron Explanation: Wrought Iron is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.

Q: The State which tops in the production of rubber is 1908 2

  • 1
    Tamil Nadu
    Correct
    Wrong
  • 2
    Karnataka
    Correct
    Wrong
  • 3
    Kerala
    Correct
    Wrong
  • 4
    Orissa
    Correct
    Wrong
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Answer : 3. "Kerala"
Explanation :

Answer: C) Kerala Explanation: A uniformly high temperature of 800F and the annual rainfall of 80 inches or more, required by rubber is available in Kerala.

Q: Which region in India is known as the "Rice Bowl of India"? 6524 2

  • 1
    Indo-Gangetic plain
    Correct
    Wrong
  • 2
    Krishna-Godavari Delta region
    Correct
    Wrong
  • 3
    North-East region
    Correct
    Wrong
  • 4
    Kerala and Tamil Nadu
    Correct
    Wrong
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Answer : 2. "Krishna-Godavari Delta region"
Explanation :

Answer: B) Krishna-Godavari Delta region Explanation: In India, the Krishna-Godavari Delta region is called as "Rice Bowl of India".   Coming to the Indian State, Chhattisgarh is known as Rice Bowl of India.

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Answer : 3. "118.08L"
Explanation :

Answer: C) 118.08L Explanation: The amount of petrol left after 4 operations   = 200 × 1-402004   = 200 × 454   = 200 × 256625   = 81.92 litres   Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

Q: From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was: 13597 1

  • 1
    75 litres
    Correct
    Wrong
  • 2
    100 litres
    Correct
    Wrong
  • 3
    150 litres
    Correct
    Wrong
  • 4
    120 litres
    Correct
    Wrong
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Answer : 4. "120 litres"
Explanation :

Answer: D) 120 litres Explanation: wine(left)wine(added) = 343169   It means  wine(left)wine(initial amount) = 343512    (since 343 + 169 = 512)    Thus,  343x = 512x1 - 15k3    343512 = 783 = 1 - 15k3    1-15k=78=1-18    Thus the initial amount of wine was 120 liters.

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