GATE Practice Question and Answer

Q: In the series given below , how many 8's are there each of which is exactly divisible by its immediate preceeding as well as succeeding numbers ?2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 2001 0

  • 1
    five
    Correct
    Wrong
  • 2
    four
    Correct
    Wrong
  • 3
    two
    Correct
    Wrong
  • 4
    one
    Correct
    Wrong
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Answer : 3. "two"
Explanation :

Answer: C) two Explanation: Clearly, we may mark such sets of 3 numbers, in which the middle number is 8 and each of the two numbers on both sides of it is a factor of 8, as shown below : 2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 So, there are two such 8's. Hence the answer is C.

Q: If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ? 2000 0

  • 1
    18 : 24 : 11
    Correct
    Wrong
  • 2
    9 : 15 : 1
    Correct
    Wrong
  • 3
    20 : 15 : 9
    Correct
    Wrong
  • 4
    21 : 7 : 3
    Correct
    Wrong
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Answer : 3. "20 : 15 : 9"
Explanation :

Answer: C) 20 : 15 : 9 Explanation: Given k : l = 4 : 3l : m = 5 : 3 Then k : l : m = 20 : 15 : 9

Q: What is the common ratio of the following geometric sequence? 4, 2, 1, 0.5, 0.25, 0.125,... 1999 0

  • 1
    0.5
    Correct
    Wrong
  • 2
    -1
    Correct
    Wrong
  • 3
    1.5
    Correct
    Wrong
  • 4
    -0.5
    Correct
    Wrong
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Answer : 1. "0.5"
Explanation :

Answer: A) 0.5 Explanation: In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.   Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,... Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.

Q: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ? 1995 0

  • 1
    34
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    38
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "34"
Explanation :

Answer: A) 34 Explanation: M + Tu + W + Th = 4 x 48 = 192Tu + W + Th + F = 4 x 46 = 184M = 42Tu + W + Th = 192 - 42 = 150F = 184 – 150 = 34

Q: A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ? 1995 0

  • 1
    Rs. 316
    Correct
    Wrong
  • 2
    Rs. 251
    Correct
    Wrong
  • 3
    Rs. 154
    Correct
    Wrong
  • 4
    Rs. 294
    Correct
    Wrong
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Answer : 1. "Rs. 316"
Explanation :

Answer: A) Rs. 316 Explanation: S.I. for 2 years = (514 - 415) = Rs. 99S.I. for 1 year = 99/2 Principal = (415 - 99) = Rs. 316.

Q: Points that lie on the same line are called 1994 0

  • 1
    Congruent
    Correct
    Wrong
  • 2
    Coplanar points
    Correct
    Wrong
  • 3
    Collinear points
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "Collinear points"
Explanation :

Answer: C) Collinear points Explanation: Points that lie on the same line are called Collinear points. And that points lie on the same plane are called Coplanar points.

Q: Sum of present ages of P and Q is 41. Age of P 2 year hence is equal to age of R, 1 year ago. Age of P, 4 year hence is equal to age of Q 1 year ago and ratio of present age of P and S is 3 : 4. Find the difference of age of R and S. 1991 0

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

Answer: B) 3 Explanation: According to the given data, P + Q = 41 ......(1) R - 1 = P + 2 R = P + 3 and P + 4 = Q - 1 => Q = P + 5 ....(2) From (1)&(2) P = 18 Q = 18 + 5 = 23 R = 18 + 3 = 21 => P/S = 3/4 => S = 4/3 x 18 = 24 Required Difference = S - R = 24 - 21 = 3.

Q: Size of the primary memory of a pc ranges between 1991 0

  • 1
    256 kb to 640 kb
    Correct
    Wrong
  • 2
    64 kb to 256 kb
    Correct
    Wrong
  • 3
    256 kb to 512 kb
    Correct
    Wrong
  • 4
    2 kb to 8 kb
    Correct
    Wrong
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Answer : 1. "256 kb to 640 kb"
Explanation :

Answer: A) 256 kb to 640 kb Explanation: Size of the primary memory of a PC ranges between 256 KB to 640 KB.

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