IIT JEE Practice Question and Answer

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? 1822 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 y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1822 0

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

Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.

Q: What three statements make up the cell theory? 1821 0

  • 1
    All living things are made up of cells.
    Correct
    Wrong
  • 2
    New cells come frome exisiting cells.
    Correct
    Wrong
  • 3
    Cells are the basic unit of structure/function in living things.
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 4. "All of the above"
Explanation :

Answer: D) All of the above Explanation: The three statements make up the cell theory are::   1. All living things are made up of cells. 2. Cells are the basic unit of structure/function in living things. 3. New cells come frome exisiting cells.   These cells can vary widely, but all living things are composed of cells.

Q: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is  ? 1821 0

  • 1
    2(6!)
    Correct
    Wrong
  • 2
    6! x 7
    Correct
    Wrong
  • 3
    6! x ⁷P₆
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "6! x ⁷P₆"
Explanation :

Answer: C) 6! x ⁷P₆ Explanation: We can initially arrange the six boys in 6! ways.Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways. Hence required number of ways = 6! x ⁷P₆

Q: Express 3/8 and 1/10 as a Decimals? 1820 0

  • 1
    1.375 & 1
    Correct
    Wrong
  • 2
    0.375 & 1
    Correct
    Wrong
  • 3
    13.75 & 1.1
    Correct
    Wrong
  • 4
    0.375 & 0.1
    Correct
    Wrong
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Answer : 4. "0.375 & 0.1"
Explanation :

Answer: D) 0.375 & 0.1 Explanation: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125 => 3 x 1258 x 125 = 3751000 = 0.375   1/10 as a Decimal : 1 divided into 10 parts of each 0.1.   Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

Q: Friction can be reduced by changing from 1820 0

  • 1
    Static to Dynamic
    Correct
    Wrong
  • 2
    Rolling to Sliding
    Correct
    Wrong
  • 3
    Dynamic to Static
    Correct
    Wrong
  • 4
    Sliding to Rolling
    Correct
    Wrong
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Answer : 4. "Sliding to Rolling"
Explanation :

Answer: D) Sliding to Rolling Explanation: Any object rolls when there is no friction. So, Sliding to Rolling is correct.

Q: What will come in place of the question mark (?) in the following questions ? 22% of ? + 166.64 = 340 1820 0

  • 1
    788
    Correct
    Wrong
  • 2
    786
    Correct
    Wrong
  • 3
    784
    Correct
    Wrong
  • 4
    792
    Correct
    Wrong
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Answer : 1. "788"
Explanation :

Answer: A) 788 Explanation: (kx22)/100 = 340 - 166.64 = 173.36 k = (173.36 x 100)/22 k = 788

Q: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit  ? 1818 0

  • 1
    Rs. 8840
    Correct
    Wrong
  • 2
    Rs. 8800
    Correct
    Wrong
  • 3
    Rs. 8810
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 4. "None"
Explanation :

Answer: D) None Explanation: Amount = 80001+51002   = 8000 x 21/20 x 21/20    = Rs. 8820

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