GATE Practice Question and Answer

Q: If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___? 2961 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: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2961 1

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

Answer: B) 2 Explanation: Given a2 + b2 = c2   Now  1logc+ab  + 1logc-ab    = logbc+a + logbc-a   = logbc2-a2 = 2logbb = 2

Q: एक पर्सनल कंप्यूटर की शब्द लंबाई है 2960 0

  • 1
    32 bit
    Correct
    Wrong
  • 2
    16 bit
    Correct
    Wrong
  • 3
    8 bit
    Correct
    Wrong
  • 4
    4 bit
    Correct
    Wrong
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Answer : 3. "8 bit"
Explanation :

Answer: C) 8 bit व्याख्या: शब्द की लंबाई कंप्यूटर के सीपीयू द्वारा एक बार में संसाधित बिट्स की संख्या को संदर्भित करती है। इन दिनों, आमतौर पर 32 बिट या 64 बिट का उपयोग किया जाता है। डेटा बस आकार, निर्देश आकार, पता आकार आमतौर पर शब्द आकार के गुणक होते हैं।

Q: Which acid is produced when milk gets sour? 2960 0

  • 1
    Lactic acid
    Correct
    Wrong
  • 2
    Acetic acid
    Correct
    Wrong
  • 3
    Tartaric acid
    Correct
    Wrong
  • 4
    Butyric acid
    Correct
    Wrong
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Answer : 1. "Lactic acid"
Explanation :

Answer: A) Lactic acid Explanation:

Q: Choose the Antonym of the given word from the following options 'Jettison' 2953 0

  • 1
    Salvage
    Correct
    Wrong
  • 2
    Submerge
    Correct
    Wrong
  • 3
    Repent
    Correct
    Wrong
  • 4
    Descend
    Correct
    Wrong
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Answer : 1. "Salvage"
Explanation :

Answer: A) Salvage Explanation: 'Jettison' means to discard and 'salvage' means to rescue something discarded. Hence, 'salvage' is the word which is farthest in meaning to the given word 'Jettison'.

Q: At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ? 2953 0

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

Answer: A) 5% Explanation: Given compound interest for 3 years = Rs. 1513.2   and simple interest for 5 years = Rs. 2400   Now, we know that  C.I = P1+R100n - 1   => 1513.2 = P1+R1003 - 1 ...........(A)   And S.I = PTR/100   => 2400 = P5R/100 ..................(B)   By solving (A) & (B), we get   R = 5%.

Q: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours  ? 2950 0

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

Answer: B) 3/4 hrs Explanation: Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time   so 1/3rd of the usual time = 15minor usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.

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Answer :
Explanation :

PONDICHERRY is the Indian City with 11 Letters.   Fruit Name : CHERRY Soap Name : RIN Bird Name : HEN Organ : CHIN Used by Student : PEN

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