GATE Practice Question and Answer

Q: Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ? 3178 0

  • 1
    600
    Correct
    Wrong
  • 2
    300
    Correct
    Wrong
  • 3
    150
    Correct
    Wrong
  • 4
    75
    Correct
    Wrong
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Answer : 1. "600"
Explanation :

Answer: A) 600 Explanation: 1/2:1/3:1/4 = 6:4:3 As the difference is 3 => 3/13x2600 = 600

Q: Find the next number in the series   143 143 136 110 ? 3169 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: 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 3163 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: 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 3156 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: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3155 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: If the rate increases by 2%, the simple interest received on a sum of money increases by Rs. 108. If the time period is increased by 2 years, the simple interest on the same sum increases by Rs.180. The sum is ? 3154 0

  • 1
    Rs. 540
    Correct
    Wrong
  • 2
    Rs. 415
    Correct
    Wrong
  • 3
    Rs. 404
    Correct
    Wrong
  • 4
    Data is not sufficient
    Correct
    Wrong
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Answer : 4. "Data is not sufficient"
Explanation :

Answer: D) Data is not sufficient Explanation: Let the sum be Rs. p, rate be R% p.a. and time be T years. Then,  P×T×(R+2)100-P×T×R100=108  ⇒2PT= 10800  ...... (1)  And,   P×R×(T+2)100-P×R×T100=180   ⇒2PR = 18000 ......(2) Clearly, from (1) and (2), we cannot find the value of pSo, the data is not sufficient.

Q: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ? 3152 0

  • 1
    101 men
    Correct
    Wrong
  • 2
    112 men
    Correct
    Wrong
  • 3
    102 men
    Correct
    Wrong
  • 4
    120 men
    Correct
    Wrong
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Answer : 3. "102 men"
Explanation :

Answer: C) 102 men Explanation: From the above formula i.e (m1 x t1/w1) = (m2 x t2/w2) so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)] so, M = 136 men   Number of men to be added to finish the work = 136-34 = 102 men.

Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 3147 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.

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