GATE Practice Question and Answer

Q: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 1253 0

  • 1
    42
    Correct
    Wrong
  • 2
    44
    Correct
    Wrong
  • 3
    53
    Correct
    Wrong
  • 4
    56
    Correct
    Wrong
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Answer : 2. "44"
Explanation :

Answer: B) 44 Explanation:   4             3             4             7               15        ? ×1-1      ×1+1       ×2-1       ×2+1           ×3-1   15x3 - 1 = 45 - 1 = 44

Q: A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was : 1245 0

  • 1
    Rs. 15,000
    Correct
    Wrong
  • 2
    Rs. 1,50,000
    Correct
    Wrong
  • 3
    Rs. 1500
    Correct
    Wrong
  • 4
    Rs. 1,62,000
    Correct
    Wrong
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Answer : 1. "Rs. 15,000"
Explanation :

Answer: A) Rs. 15,000 Explanation: Principal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.

Q: What is 16 bit? 1243 0

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Answer :
Explanation :

Anything larger and the computer would need to break the number into smaller pieces.   16-bit is a computer hardware device or software program capable of transferring 16 bits of data at a time. Today, 16-bit hardware and software has been replaced by 32-bit and 64-bit alternatives, which give the computer more memory to work with; increasing overall performance.   For example, early computer processors (e.g., 8088 and 80286) were 16-bit processors, meaning they were capable of working with 16-bit binary numbers (decimal number up to 65,535).

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Answer : 3. "Any two of (1, 2 & 3)"
Explanation :

Answer: C) Any two of (1, 2 & 3) Explanation: Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%. Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years. Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate. Hence by using any two of the three statements(1,2&3) we get rate of interest.

Q: A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ? 1236 0

  • 1
    8.7 hrs
    Correct
    Wrong
  • 2
    5.2 hrs
    Correct
    Wrong
  • 3
    5 hrs
    Correct
    Wrong
  • 4
    7.5 hrs
    Correct
    Wrong
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Answer : 4. "7.5 hrs"
Explanation :

Answer: D) 7.5 hrs Explanation: Ratio of times taken by A and B = 160 : 100A can do the work in 12 daysLet B can do the work in "D" days=> 160:100 = 12 : D=> D = 12 x 100/160 = 7.5 hrs

Q: How many minutes does a watch lose per day, if its hands coincide every 64 minutes ? 1234 0

  • 1
    36 7/9 min
    Correct
    Wrong
  • 2
    32 8/11 min
    Correct
    Wrong
  • 3
    34 3/11 min
    Correct
    Wrong
  • 4
    65 5/11 min
    Correct
    Wrong
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Answer : 2. "32 8/11 min"
Explanation :

Answer: B) 32 8/11 min Explanation: 55 min. spaces are covered in 60 min. 60 min. spaces are covered in min. = min. Loss in 64 min. = min. Loss in 24 hrs = min. = min.

Q: There are 3 sections with 5 questions each. If four questions are selected from each section, the chance of getting different questions is ? 1232 0

  • 1
    1000
    Correct
    Wrong
  • 2
    625
    Correct
    Wrong
  • 3
    525
    Correct
    Wrong
  • 4
    125
    Correct
    Wrong
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Answer : 4. "125"
Explanation :

Answer: D) 125 Explanation: Methods for selecting 4 questions out of 5 in the first section = 5 x 4 x 3 x 2 x 1/4 x 3 x 2 x 1 = 5. Similarly for other 2 sections also i.e 5 and 5 So total methods = 5 x 5 x 5 = 125.

Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ? 1232 0

  • 1
    6/19
    Correct
    Wrong
  • 2
    3/10
    Correct
    Wrong
  • 3
    7/10
    Correct
    Wrong
  • 4
    6/17
    Correct
    Wrong
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Answer : 2. "3/10"
Explanation :

Answer: B) 3/10 Explanation: Here, S = {1, 2, 3, 4, ...., 19, 20}=> n(s) = 20Let E = event of getting a multiple of 4 or 15 =multiples od 4 are {4, 8, 12, 16, 20}And multiples of 15 means multiples of 3 and 5= {3, 6 , 9, 12, 15, 18, 5, 10, 15, 20}.= the common multiple is only (15).=> E = n(E)= 6Required Probability = P(E) = n(E)/n(S) = 6/20 = 3/10.

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