GATE Practice Question and Answer

Q: The sum of three consecutive odd numbers is 93. What is the middle number? 2343 0

  • 1
    31
    Correct
    Wrong
  • 2
    33
    Correct
    Wrong
  • 3
    29
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 1. "31"
Explanation :

Answer: A) 31 Explanation: Let the three consecutive odd numbers be x, x+2, x+4 Then, x + x + 2 + x + 4 = 93 => 3x + 6 = 93 => 3x = 87 => x = 29 => 29, 31, 33 are three consecutive odd numbers.   Therefore, the middle number is 31.

Q: In the given numbers, if in each number first digit is replaced by the third digit, second digit is replaced by the first digit and third digit is replaced by the second digit then which number will be the biggest ? 653   749   872   933   541 2343 0

  • 1
    933
    Correct
    Wrong
  • 2
    872
    Correct
    Wrong
  • 3
    749
    Correct
    Wrong
  • 4
    653
    Correct
    Wrong
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Answer : 3. "749"
Explanation :

Answer: C) 749 Explanation: From the given data, Largest number = 974 Therefore, the required number is 749.

Q: P and Q can do a work in 4 hours and 12 hours respectively. P starts the work at 9am and they work alternately for one hour each. When will the work be completed ? 2342 0

  • 1
    3 am
    Correct
    Wrong
  • 2
    12 pm
    Correct
    Wrong
  • 3
    1 pm
    Correct
    Wrong
  • 4
    3 pm
    Correct
    Wrong
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Answer : 4. "3 pm"
Explanation :

Answer: D) 3 pm Explanation: Work done by P and Q in the first two hours, working alternately = First hour P + Second hour Q ⇒14+112=13 work is completed in 2 hours Then, the total time required to complete the work by P and Q working alternately=2 x 3= 6hours Thus, work will be completed at 3pm.

Q: In what ratio must wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg so that the mixture be worth Rs. 3/kg? 2341 0

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

Answer: C) 2:1 Explanation: Given rate of wheat at cheap = Rs. 2.90/kg Rate of wheat at cost = Rs. 3.20/kg Mixture rate = Rs. 3/kg Ratio of mixture =            2.90                              3.20                               3 (3.20 - 3 = 0.20)            (3 - 2.90 = 0.10)   0.20 : 0.10 = 2:1   Hence, wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg in the ratio of 2:1, so that the mixture be worth Rs. 3/kg.

Q: A passenger train covers the distance between station K and L, 40 minutes faster than a goods train. Find this distance between K and L if the average speed of the passenger train is 50 km/h and that of goods train is 30 km/h? 2340 0

  • 1
    50 kms
    Correct
    Wrong
  • 2
    48 kms
    Correct
    Wrong
  • 3
    46 kms
    Correct
    Wrong
  • 4
    44 kms
    Correct
    Wrong
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Answer : 1. "50 kms"
Explanation :

Answer: A) 50 kms Explanation: Let the distance be 'd' kms. According to the given data, d30 - d50 = 4060 hrs=> 6d = 300=> d = 50 kms.

Q: Find the missing number in the given number series? 5 11 21 44 ? 175 2339 0

  • 1
    86
    Correct
    Wrong
  • 2
    78
    Correct
    Wrong
  • 3
    94
    Correct
    Wrong
  • 4
    102
    Correct
    Wrong
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Answer : 1. "86"
Explanation :

Answer: A) 86 Explanation: Here the given number series is 5  11  21  44  ?  175   Now the given series follows a pattern, that   x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...   Then the missing number is x2 - 2   = 44 x 2 - 2 = 88 - 2 = 86   Hence, the missing number in the number series is 86.

Q: What does 'M' stand for in chemistry? 2339 0

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Answer :
Explanation :

'M' is used as a unit of molarity and stands for mole per litre i.e, number of moles of solute per liter of solution.

Q: Light : Blind 2339 0

  • 1
    Tongue : Sound
    Correct
    Wrong
  • 2
    Voice : Vibration
    Correct
    Wrong
  • 3
    Language : Deaf
    Correct
    Wrong
  • 4
    Speech : Dumb
    Correct
    Wrong
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Answer : 4. "Speech : Dumb"
Explanation :

Answer: D) Speech : Dumb Explanation: Here the two pair of words related in such a way that, a blind can't see the light. Similarly, a dumb cannot speech.   Hence, Light : Blind :: Speech : Dumb.

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