IIT JEE Practice Question and Answer

Q: The wealthiest citizens of ancient rome were 3613 0

  • 1
    patricians
    Correct
    Wrong
  • 2
    laborers
    Correct
    Wrong
  • 3
    farmers
    Correct
    Wrong
  • 4
    plebeians
    Correct
    Wrong
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Answer : 1. "patricians"
Explanation :

Answer: A) patricians Explanation:

Q: V-RAM is used for access of the following ? 3610 3

  • 1
    Programs
    Correct
    Wrong
  • 2
    Video & Graphics
    Correct
    Wrong
  • 3
    Text & Images
    Correct
    Wrong
  • 4
    All
    Correct
    Wrong
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Answer : 2. "Video & Graphics"
Explanation :

Answer: B) Video & Graphics Explanation: VRAM or (video RAM), reference to any type of random access memory (RAM) is a dual-ported variant of dynamic RAM (DRAM) used to store the framebuffer in graphics adapters.

Q: Mother’s age today is thrice as her daughter’s. After 10 years it would be just double. How old is the daughter today ? 3606 0

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

Answer: C) 10 years Explanation: Let the age of the daughter today be ‘x’ years. Mother’s age today = 3x years After 10 years, we have 3x + 10 = 2(x + 10) x = 10 years.

Q: If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number? 3603 0

  • 1
    5.65
    Correct
    Wrong
  • 2
    2.7
    Correct
    Wrong
  • 3
    3.5
    Correct
    Wrong
  • 4
    6.66
    Correct
    Wrong
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Answer : 3. "3.5"
Explanation :

Answer: C) 3.5 Explanation: Let the number is = x (89)2 + x2 = 16202 x2 = 8281 x = 91 => (1/26) of 91 = 3.5

Q: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ? 3603 0

  • 1
    17 + 4/7 days
    Correct
    Wrong
  • 2
    13 + 1/3 days
    Correct
    Wrong
  • 3
    15 + 3/2 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 2. "13 + 1/3 days"
Explanation :

Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.

Q: fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ? 3600 0

  • 1
    3/91
    Correct
    Wrong
  • 2
    2/73
    Correct
    Wrong
  • 3
    1/91
    Correct
    Wrong
  • 4
    3/73
    Correct
    Wrong
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Answer : 1. "3/91"
Explanation :

Answer: A) 3/91 Explanation: In a circle of n different persons, the total number of arrangements possible = (n - 1)!Total number of arrangements = n(S) = (15 – 1)! = 14 !Taking three persons as a unit, total persons = 13 (in 4 units)Therefore no. of ways for these 13 persons to around the circular table = (13 - 1)! = 12!In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =n(E) = 12! X 3!Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 12! X 3 ! / 14!= 12!x3x2 / 14x13x12! = 6/14x13 = 3/91

Q: How is my father's brother's only sibling's mother related to my sister's only brother ? 3597 0

  • 1
    Neice
    Correct
    Wrong
  • 2
    Aunt
    Correct
    Wrong
  • 3
    Mother
    Correct
    Wrong
  • 4
    Grand-mother
    Correct
    Wrong
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Answer : 4. "Grand-mother"
Explanation :

Answer: D) Grand-mother Explanation: My father's brother's only sibling is my father. My father's mother is my grandmother. My sister's only brother is myself. So she is my Grandmother.

Q: Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ? 3593 0

  • 1
    11.8
    Correct
    Wrong
  • 2
    12.9
    Correct
    Wrong
  • 3
    13.7
    Correct
    Wrong
  • 4
    14.5
    Correct
    Wrong
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Answer : 4. "14.5"
Explanation :

Answer: D) 14.5 Explanation: Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.k/l = 5/x ------ (1)k = m - 18 ------ (2)m + 9 = 47 ------ (3)k - l = m ----- (4)(3) => m = 47 - 9 = 38 years(2) => k = 38 -18 = 20 years(1) => 20/l = 5/x => l = 4x(4) => 4x - 20 = 38=> 4x = 58 => x = 14.5

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