GATE Practice Question and Answer

Q: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles  ? 2716 0

  • 1
    2413 sq.m
    Correct
    Wrong
  • 2
    1234 sq.m
    Correct
    Wrong
  • 3
    4312 sq.m
    Correct
    Wrong
  • 4
    2143 sq.m
    Correct
    Wrong
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Answer : 3. "4312 sq.m"
Explanation :

Answer: C) 4312 sq.m Explanation: Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.    2πs = 264 and 2πl = 352      s = 2642π and l = 3522π    Difference between the areas =πl2-πs2      = π1762π2-1322π2    = 1762π-1322π     = (176 - 132)(176 + 132) / π     = (44 x 308) / (22/7) = 4312 sq.m

Q: What will come in place of question mark(?) in the following number series ? 6859       5832     ?      4096     3375 2714 0

  • 1
    4589
    Correct
    Wrong
  • 2
    4913
    Correct
    Wrong
  • 3
    5013
    Correct
    Wrong
  • 4
    5169
    Correct
    Wrong
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Answer : 2. "4913"
Explanation :

Answer: B) 4913 Explanation: The given series follows a pattern that, 19 x 19 x 19 = 6859 18 x 18 x 18 = 5832 17 x 17 x 17 = 4913 16 x 16 x 16 = 4096 15 x 15 x 15 = 3375 So, the missing number in the given series = 4913

Q: In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.SCD, TEF, UGH, ____, WKL 2708 0

  • 1
    UJI
    Correct
    Wrong
  • 2
    VIJ
    Correct
    Wrong
  • 3
    XLM
    Correct
    Wrong
  • 4
    DOP
    Correct
    Wrong
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Answer : 2. "VIJ"
Explanation :

Answer: B) VIJ Explanation: First letter series S,T,U,Vsecond and third letter series CD,EF,GH,IJ...so answer = VIJ

Q: Which pair of atoms has the highest electronegativity difference?   (Calcium's electronegativity is 1.0 Fluorine's electronegativity is 4.0 Hydrogen's electronegativity is 2.2 Sodium's electronegativity is 0.93) 2706 0

  • 1
    F-F
    Correct
    Wrong
  • 2
    Ca-F
    Correct
    Wrong
  • 3
    H-F
    Correct
    Wrong
  • 4
    Na-F
    Correct
    Wrong
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Answer : 4. "Na-F"
Explanation :

Answer: D) Na-F Explanation: F-F = 4 - 4 = 0 Ca-F = 4 - 1 = 3.0 H-F = 4 - 2.2 = 1.8 Na-F = 4 - 0.93 = 3.07   Hence, the highest electronegativity difference is in Na-F.

Q: Suppose today is Friday, what day of the week will it be 65 days from now? 2702 0

  • 1
    Saturday
    Correct
    Wrong
  • 2
    Sunday
    Correct
    Wrong
  • 3
    Friday
    Correct
    Wrong
  • 4
    Thursday
    Correct
    Wrong
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Answer : 2. "Sunday"
Explanation :

Answer: B) Sunday Explanation: The day of the week repeats every 7 days. Given today is Friday. Again Friday is repeated on the 7th day, 14th,... on 7 multiple days. Hence, Friday is on the 63rd day, as 63 is multiple of 7.   Now, the required day of the week on the 65th day is Sunday.

Q: Find the odd one out of the floowing number series? 270, 261, 279, 252, 289, 243 2702 0

  • 1
    270
    Correct
    Wrong
  • 2
    279
    Correct
    Wrong
  • 3
    289
    Correct
    Wrong
  • 4
    243
    Correct
    Wrong
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Answer : 3. "289"
Explanation :

Answer: C) 289 Explanation: Here the given number series is 270, 261, 279, 252, 289, 243 270 - 9 = 261 261 + 18 = 279 279 - 27 = 252 252 + 36 = 288 (not equals to 289) 288 - 45 = 243   Hence, the odd number in the given number series is 289.

Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 2689 0

  • 1
    142
    Correct
    Wrong
  • 2
    175
    Correct
    Wrong
  • 3
    212
    Correct
    Wrong
  • 4
    253
    Correct
    Wrong
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Answer : 4. "253"
Explanation :

Answer: D) 253 Explanation: The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on... So, 22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.

Q: Find the odd one out of the following number series? 9 5 6 14 56 488 2688 0

  • 1
    56
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 1. "56"
Explanation :

Answer: A) 56 Explanation: The given number series follows a pattern that, 9 9 x 0.5 + 0.5 = 5 5 x 1 + 1 = 6 6 x 2 + 2 = 14 14 x 4 + 4 = 60 (not equals to 56) 60 x 8 + 8 = 488.   Hence, the odd one in the given number series is 56.

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