IIT JEE Practice Question and Answer

Q: If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___? 3019 0

  • 1
    14 × 13 × 13!
    Correct
    Wrong
  • 2
    15 × 14 × 14!
    Correct
    Wrong
  • 3
    14 × 12 × 12!
    Correct
    Wrong
  • 4
    15 × 13 × 13!
    Correct
    Wrong
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Answer : 4. "15 × 13 × 13!"
Explanation :

Answer: D) 15 × 13 × 13! Explanation: 15! - 14! - 13! = (15 × 14 × 13!) - (14 × 13!) - (13!) = 13! (15 × 14 - 14 - 1) = 13! (15 × 14 - 15) = 13! x 15 (14 - 1) = 15 × 13 × 13!

Q: What about Earth allows it to maintain bodies of water? 3018 0

  • 1
    mountains
    Correct
    Wrong
  • 2
    tides
    Correct
    Wrong
  • 3
    moderate tempatures
    Correct
    Wrong
  • 4
    comet crashes
    Correct
    Wrong
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Answer : 3. "moderate tempatures"
Explanation :

Answer: C) moderate tempatures Explanation: The moderate temperatures allow Earth to maintain bodies of water into its normal state. Changes in the bodies of water in terms of volume and structure would change due to the change in temperature.

Q: There are 44 students in a hostel, due to the administration,  15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? 3018 0

  • 1
    Rs. 404
    Correct
    Wrong
  • 2
    Rs. 514
    Correct
    Wrong
  • 3
    Rs. 340
    Correct
    Wrong
  • 4
    Rs. 616
    Correct
    Wrong
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Answer : 4. "Rs. 616"
Explanation :

Answer: D) Rs. 616 Explanation: Let the average expenditure per head be Rs. pNow, the expenditure of the mess for old students is Rs. 44pAfter joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33Therefore, 59(p-3) = 44p + 3359p - 177 = 44p + 3315p = 210 => p = 14Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.

Q: A supplier supplies cartridges to a news paper publishing house. He earns a profit of 25% by selling cartridges for Rs. 1540. Find the cost price of the Cartridges ? 3017 0

  • 1
    Rs. 1100
    Correct
    Wrong
  • 2
    Rs. 1793.4
    Correct
    Wrong
  • 3
    Rs. 1440
    Correct
    Wrong
  • 4
    Rs. 1232
    Correct
    Wrong
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Answer : 4. "Rs. 1232"
Explanation :

Answer: D) Rs. 1232 Explanation: Let Cost Price(C.P) = Pgain% = {(S.P-C.P)/C.P} x 10025 = {(1540-P)/P} x 10025/100 = (1540-P)/P=> P = 4(1540)-4P=> 5P = 4(1540)=> P = 1232So, Cost Price = Rs. 1232

Q: Complete the Analogy?   Grain : Stock :: Stick : ? 3015 0

  • 1
    Bundle
    Correct
    Wrong
  • 2
    String
    Correct
    Wrong
  • 3
    Collection
    Correct
    Wrong
  • 4
    Heap
    Correct
    Wrong
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Answer : 1. "Bundle"
Explanation :

Answer: A) Bundle Explanation: Here the relation between the given words is that the second word is the collection of the first word. As the collection of grains is called Stock, similarly, the collection of sticks is called as Bundle.   Hence, Grain : Stock :: Stick : Bundle.

Q: Simplify the following : 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ? 3012 0

  • 1
    100
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "100"
Explanation :

Answer: A) 100 Explanation: Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28   It is in the form of  a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c   Here a = 37, b = 35 & c = 28    => a + b + c = 37 + 35 + 28 = 100       Therefore,   = 100

Q: In a row of thirty boys, R is fourth from the right end and W is tenth from the left end . How many boys are there between R and W? 3008 0

  • 1
    15
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    can't be determined
    Correct
    Wrong
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Answer : 2. "16"
Explanation :

Answer: B) 16 Explanation: W = 10th from the left   R = 4th from the right = (30 - 4 + 1= ) 27th from left    No of boys between R and W = (27 - 10) - 1 = 16

Q: Who is the father of Tissue Culture ? 3007 2

  • 1
    Gautheret
    Correct
    Wrong
  • 2
    Haberlandt
    Correct
    Wrong
  • 3
    Bonner
    Correct
    Wrong
  • 4
    Laibach
    Correct
    Wrong
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Answer : 2. "Haberlandt"
Explanation :

Answer: B) Haberlandt Explanation:

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