IIT JEE Practice Question and Answer

Q: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B ? 1491 0

  • 1
    10 yrs
    Correct
    Wrong
  • 2
    11 yrs
    Correct
    Wrong
  • 3
    12 yrs
    Correct
    Wrong
  • 4
    13 yrs
    Correct
    Wrong
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Answer : 1. "10 yrs"
Explanation :

Answer: A) 10 yrs Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years. (2x + 2) + 2x + x = 27 5x = 25 => x = 5 Hence, B's age = 2x = 10 years.

Q: Find the odd letter/word from the given alternatives. 1490 0

  • 1
    Horse
    Correct
    Wrong
  • 2
    Ewe
    Correct
    Wrong
  • 3
    Hind
    Correct
    Wrong
  • 4
    Bitch
    Correct
    Wrong
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Answer : 1. "Horse"
Explanation :

Answer: A) Horse Explanation: Except Horse, remaining all belong to female category. Hind - Female Deer Ewe - Female Sheep Bitch - Female Dog.

Q: Antonym of the word DOLEFUL : 1490 0

  • 1
    Lamentable
    Correct
    Wrong
  • 2
    Dismal
    Correct
    Wrong
  • 3
    Pitiful
    Correct
    Wrong
  • 4
    Glad
    Correct
    Wrong
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Answer : 4. "Glad"
Explanation :

Answer: D) Glad Explanation:

Q: Logical Challenge 1490 0

  • 1
    24
    Correct
    Wrong
  • 2
    11
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    18
    Correct
    Wrong
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Answer : 3. "14"
Explanation :

Answer: C) 14 Explanation: 1 Grand mother 1 Mother 4 Wives 4x2 = 8 Daughters Total = 1 + 1 + 4 + 8 = 14 Female members.

Q: What is x squared plus x squared? 1489 0

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

Answer: B) 2x^2 Explanation: In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms.  Now x^2 + x^2 = 2x^2   Hence, x-squared plus x-squared is equal to 2 times x squared.

Q: In how many different ways can the letters of the word 'POVERTY' be arranged ? 1489 0

  • 1
    2520
    Correct
    Wrong
  • 2
    5040
    Correct
    Wrong
  • 3
    1260
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "5040"
Explanation :

Answer: B) 5040 Explanation: The 7 letters word 'POVERTY' be arranged in 7P7 ways = 7! = 5040 ways.

Q: A bus covers its journey at the speed of 80km/hr in 10hours. If the same distance is to be covered in 4 hours, by how much the speed of bus will have to increase ? 1488 0

  • 1
    85 km/hr
    Correct
    Wrong
  • 2
    95 km/hr
    Correct
    Wrong
  • 3
    105 km/hr
    Correct
    Wrong
  • 4
    120 km/hr
    Correct
    Wrong
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Answer : 4. "120 km/hr"
Explanation :

Answer: D) 120 km/hr Explanation: Initial speed = 80km/hrTotal distance = 80 x 10 = 800kmNew speed = 800/4 =200km/hrIncrease in speed = 200 - 80 = 120km/hr

Q: At present, the ratio between the ages of Arun and Harish is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Harish at present ? 1488 0

  • 1
    15 years
    Correct
    Wrong
  • 2
    16 years
    Correct
    Wrong
  • 3
    18 years
    Correct
    Wrong
  • 4
    21 years
    Correct
    Wrong
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Answer : 1. "15 years"
Explanation :

Answer: A) 15 years Explanation: Let the present ages of Arun and Harish be 4x and 3x years respectively. Then, 4x + 6 = 26 => x = 5 Harish's age = 3x = 15 years.

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