GATE Practice Question and Answer

Q: Three unbiased coins are tossed. What is the probability of getting at most two heads ? 1881 0

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

Answer: D) 3/4 Explanation: Let S be the sample space.Here n(S)= 23 = 8Let E be the event of getting atmost two heads. Then,n(E) = {(H,T,T), (T,H,T), (T,T,H), (H,H,T), (T,H,H), (H,T,H)}Required probability = n(E)/n(S) = 6/8 = 3/4.

Q: Find the wrong number in the given series :26, 20, 16, 11, 8, 6, 5 1880 0

  • 1
    5
    Correct
    Wrong
  • 2
    26
    Correct
    Wrong
  • 3
    11
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 4. "16"
Explanation :

Answer: D) 16 Explanation: 26 - 6 = 20 20 - 5 = 15 15 - 4 = 11 11 - 3 = 8 8 - 2 = 6 6 - 1 = 5 Therefore, 16 is wrong number.

Q: Choose what replaces '?' in the following figure ? 1880 0

  • 1
    Q
    Correct
    Wrong
  • 2
    O
    Correct
    Wrong
  • 3
    M
    Correct
    Wrong
  • 4
    N
    Correct
    Wrong
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Answer : 4. "N"
Explanation :

Answer: D) N Explanation: The alphabetical value of the letters in the left hand column follows through the sequence of Prime Numbers, with the letters in the right hand column representing the corresponding reverse alphabetical values. So, M = Reverse of M = N.

Q: What did the Bhore committee deal with ? 1880 1

  • 1
    Economic development in India
    Correct
    Wrong
  • 2
    Health development in India
    Correct
    Wrong
  • 3
    Development of airports in India
    Correct
    Wrong
  • 4
    Rural development in India
    Correct
    Wrong
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Answer : 2. "Health development in India"
Explanation :

Answer: B) Health development in India Explanation:

Q: A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ? 1879 0

  • 1
    Rs. 4
    Correct
    Wrong
  • 2
    Rs. 3
    Correct
    Wrong
  • 3
    Rs. 5
    Correct
    Wrong
  • 4
    Rs. 1
    Correct
    Wrong
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Answer : 2. "Rs. 3"
Explanation :

Answer: B) Rs. 3 Explanation: Let wholesaler dealers marked price = 100%, Retailer's C.P = 80% And the retailer sells at 5% less than the marked price => S.P = 95%If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16 Profit made by the retailer = 19-16 =  Rs.3

Q: The purest form of iron is 1879 0

  • 1
    wrought iron
    Correct
    Wrong
  • 2
    steel
    Correct
    Wrong
  • 3
    pig iron
    Correct
    Wrong
  • 4
    nickel steel
    Correct
    Wrong
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Answer : 1. "wrought iron"
Explanation :

Answer: A) wrought iron Explanation: Wrought Iron is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.

Q: From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ? 519 328 746 495 837 1879 0

  • 1
    146
    Correct
    Wrong
  • 2
    203
    Correct
    Wrong
  • 3
    345
    Correct
    Wrong
  • 4
    96
    Correct
    Wrong
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Answer : 1. "146"
Explanation :

Answer: A) 146 Explanation: From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ? Now arranging the given numbers in descending order.837 746 519 495 328 519 - 746/2 = 519 - 373 = 146.

Q: A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? 1876 1

  • 1
    14 cm
    Correct
    Wrong
  • 2
    13.5 cm
    Correct
    Wrong
  • 3
    12.5 cm
    Correct
    Wrong
  • 4
    11.4 cm
    Correct
    Wrong
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Answer : 3. "12.5 cm"
Explanation :

Answer: C) 12.5 cm Explanation: Let the required height of the building be x meter More shadow length, More height(direct proportion) Hence we can write as (shadow length) 40.25 : 28.75 :: 17.5 : x⇒ 40.25 × x = 28.75 × 17.5⇒ x = 28.75 × 17.5/40.25= 2875 × 175/40250= 2875 × 7/1610= 2875/230= 575/46= 12.5 cm

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