IIT JEE Practice Question and Answer

Q: If the HCF of 210 and 55 is expressible in the form of 210 x 5 + 55P, then value of P = ? 1722 0

  • 1
    -23
    Correct
    Wrong
  • 2
    27
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    -19
    Correct
    Wrong
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Answer : 4. "-19"
Explanation :

Answer: D) -19 Explanation: HCF of 210 and 55 is 5 Now, 210x5 + 55P = 5 => 1050 + 55P = 5 => 55P = -1045 => P = -1045/55 => P = -19.

Q: The original ASCII code used ___________ bits of each byte, reserving that last bit for error checking ? 1633 0

  • 1
    5
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 3. "7"
Explanation :

Answer: C) 7 Explanation:

Q: In a daily morning walk three persons step off together. their steps measure 75 cm, 80 cm and 85 cm respectively. What is the minimum distance each should walk so that thay can cover the distance in complete steps  ? 1590 0

  • 1
    222 m 44 cm
    Correct
    Wrong
  • 2
    204 m
    Correct
    Wrong
  • 3
    201 m 21 cm
    Correct
    Wrong
  • 4
    208 m
    Correct
    Wrong
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Answer : 2. "204 m"
Explanation :

Answer: B) 204 m Explanation: To find the minimum distance, we have to get the LCM of 75, 80, 85 Now, LCM of 75, 80, 85 = 5 x 15 x 16 x 17 = 20400 Hence, the minimum distance each should walk so that thay can cover the distance in complete steps = 20400 cms = 20400/100 = 204 mts.

Q: Two numbers are in the ratio 3 : 7. If 6 be added to each of them, then they are in the ratio 5 : 9. Find the numbers ? 1765 0

  • 1
    11 & 17
    Correct
    Wrong
  • 2
    7 & 17
    Correct
    Wrong
  • 3
    9 & 21
    Correct
    Wrong
  • 4
    13 & 23
    Correct
    Wrong
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Answer : 3. "9 & 21"
Explanation :

Answer: C) 9 & 21 Explanation: Let the two numbers be x and y Given x : y = 3 : 7 .....(1) Now, x+6 : y+6 = 5 : 9 .....(2) From (1), x = 3y/7 From (2), 5y - 9x = 24 => 5y - 9(3y/7) = 24 => y = 21 => From(1), x = 9 Hence, the two numbers be 9 and 21

Q: The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ? 1667 0

  • 1
    40.36
    Correct
    Wrong
  • 2
    41.24
    Correct
    Wrong
  • 3
    41.92
    Correct
    Wrong
  • 4
    42.05
    Correct
    Wrong
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Answer : 1. "40.36"
Explanation :

Answer: A) 40.36 Explanation: Given, mean of 100 observations is 40 => Total of 100 observations = 40 x 100 = 4000 84 is misread as 48 => Difference = 84 - 48 = 36 => Now, new total of 100 observations = 4000 + 36 = 4036 Correct Mean = 4036/100 = 40.36

Q: The construction of Warangal Fort was started by ______ ? 1558 0

  • 1
    Beta - II
    Correct
    Wrong
  • 2
    Rudra
    Correct
    Wrong
  • 3
    Jayapa
    Correct
    Wrong
  • 4
    Prola - II
    Correct
    Wrong
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Answer : 2. "Rudra"
Explanation :

Answer: B) Rudra Explanation:

Q: Symbolic logic was discovered by ___________ 4123 1

  • 1
    Herman Hollerith
    Correct
    Wrong
  • 2
    Vonn Neumann
    Correct
    Wrong
  • 3
    George Boole
    Correct
    Wrong
  • 4
    Sun Microsystem
    Correct
    Wrong
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Answer : 3. "George Boole"
Explanation :

Answer: C) George Boole Explanation:

Q: If the LCM and HCF of two numbers are equal, then the numbers must be 17943 0

  • 1
    Prime Numbers
    Correct
    Wrong
  • 2
    Composite Numbers
    Correct
    Wrong
  • 3
    Equal
    Correct
    Wrong
  • 4
    Co- prime Numbers
    Correct
    Wrong
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Answer : 3. "Equal"
Explanation :

Answer: C) Equal Explanation: If LCM = HCF then, the two numbers are equal.

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