GATE Practice Question and Answer

Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 3016 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: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles  ? 3016 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: Is B2+ Paramagnetic or Diamagnetic? 3013 0

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Answer :
Explanation :

B2+ is a Paramagnetic.  The filled orbitals are σ(1s)22, σ∗(1s)22, σ(2s)22, σ∗(2s)22. The half-filled orbitals are π(2pxx) and π(2pyy). Since it posses 2 unpaired electrons, it is Paramagnetic in nature.

Q: Choose the word which gives best meaning to the sentence from the given options. His recent success ______ him more arrogant than what he used to be 3012 0

  • 1
    make
    Correct
    Wrong
  • 2
    have make
    Correct
    Wrong
  • 3
    was making
    Correct
    Wrong
  • 4
    has made
    Correct
    Wrong
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Answer : 4. "has made"
Explanation :

Answer: D) has made Explanation: HIS RECENT SUCCESS HAS MADE HIM MORE ARROGANT THAN WHAT HE USED.

Q: Find the next number in the series   143 143 136 110 ? 3010 0

  • 1
    91
    Correct
    Wrong
  • 2
    35
    Correct
    Wrong
  • 3
    47
    Correct
    Wrong
  • 4
    69
    Correct
    Wrong
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Answer : 3. "47"
Explanation :

Answer: C) 47 Explanation: The next number in the series is 143 143 136 110       0    7      26 (Differences)  13 - 1 , 23 - 1, 33 - 1, 43 - 1,...Now the next number is given by110 - (43 - 1) = 110 - 63 = 47.

Q: Vishal, Priyatham, Raghu, Karthik and Veeru are five friends. Vishal is twice as old as priyatham. Raghu is half age of Priyatham. Vishal is half the age of Veeru and Raghu is twice the age of Karthik. Question:Who is the youngest ? 3006 0

  • 1
    Veeru
    Correct
    Wrong
  • 2
    Karthik
    Correct
    Wrong
  • 3
    Vishal
    Correct
    Wrong
  • 4
    Raghu
    Correct
    Wrong
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Answer : 2. "Karthik"
Explanation :

Answer: B) Karthik Explanation: Let Priyatham's age = x Then, Vishal's age = 2x; Raghu's age = x/2; Veeru's age = 4x ; Karthik's age = x/4 So, the descending order of ages is : Veeru > Vishal > Priyatham > Raghu > Karthik Therefore,  Karthik is the youngest.

Q: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 2999 0

  • 1
    63 and 49
    Correct
    Wrong
  • 2
    64 and 48
    Correct
    Wrong
  • 3
    62 and 46
    Correct
    Wrong
  • 4
    64 and 49
    Correct
    Wrong
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Answer : 1. "63 and 49"
Explanation :

Answer: A) 63 and 49 Explanation: Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14=> x - y = 2 product of numbers = product of their hcf and lcm=> 7x * 7y = 441 * 7=> x * y = 63 Now, we havex * y = 63 , x - y = 2=> x = 9 , y = 7 The numbers are 7x and 7y=> 63 and 49

Q: 80% of 900 + 162 x 4 x ? = 113 - 99 2995 0

  • 1
    0.5
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "0.5"
Explanation :

Answer: A) 0.5 Explanation: 80x900/100 + 256 x 4 x ? = 1331 - 99 720 + 1024 x ? = 1232 ? = 1232 - 720/1024 ? = 512/1024 = 0.5 ? = 0.5

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