GATE Practice Question and Answer

Q: Paw : Cat :: Hoof : ? 2758 0

  • 1
    Donkey
    Correct
    Wrong
  • 2
    Lion
    Correct
    Wrong
  • 3
    Elephant
    Correct
    Wrong
  • 4
    Horse
    Correct
    Wrong
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Answer : 4. "Horse"
Explanation :

Answer: D) Horse Explanation: The cat's foot is called a paw. The horse's foot is called a hoof.

Q: Which of the following is not purely output device? 2741 1

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    Printer
    Correct
    Wrong
  • 2
    Speaker
    Correct
    Wrong
  • 3
    Plotter
    Correct
    Wrong
  • 4
    Screen
    Correct
    Wrong
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Answer : 4. "Screen"
Explanation :

Answer: D) Screen Explanation: A touch screen is the only device which works as both an input and an output device among the given options. You view the options available to you on the screen (output) and you then use your finger to touch the option that you have chosen (input).   Hence, Screen is not purely output device.

Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 2741 1

  • 1
    120 days
    Correct
    Wrong
  • 2
    119 days
    Correct
    Wrong
  • 3
    118 days
    Correct
    Wrong
  • 4
    117 days
    Correct
    Wrong
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Answer : 4. "117 days"
Explanation :

Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.

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 ? 2740 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: Find the odd man out in the following number series? 5, 4, 9, 32, 273 2734 0

  • 1
    4
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    32
    Correct
    Wrong
  • 4
    273
    Correct
    Wrong
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Answer : 3. "32"
Explanation :

Answer: C) 32 Explanation: The given number series follows 5, 4, 9, 32, 308 pattern that   5 5 x 1 - 1 = 4 4 x 3 - 3 = 9 9 x 5 - 5 = 40 (not equals to 32) 40 x 7 - 7 = 273   Hence, the odd man in the given number series is 32.

Q: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ? 2726 0

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    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
    Correct
    Wrong
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    Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
    Correct
    Wrong
  • 3
    Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840
    Correct
    Wrong
  • 4
    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940
    Correct
    Wrong
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Answer : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
Explanation :

Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 Explanation: Initial investment of Ram = Rs.2500.After 2 months he withdraw Rs.1250 from his capital.Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months. Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months. And, Rakesh invested Rs.3500 for 3 months; Their investing ratio:Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42 Total profit for 6 months = Rs.2540Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800Raj's share = Rs.(2540 x 45/127) = Rs.900Rakesh's share = Rs.(2540 x 42/127) = Rs.840

Q: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 2725 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: Is B2+ Paramagnetic or Diamagnetic? 2725 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.

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