GATE Practice Question and Answer

Q: How much does a clock lose per day, if its hands coincide ever 65 minutes ? 2485 0

  • 1
    1440/143 min
    Correct
    Wrong
  • 2
    184/13 min
    Correct
    Wrong
  • 3
    1425/18 min
    Correct
    Wrong
  • 4
    541/9 min
    Correct
    Wrong
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Answer : 3. "1425/18 min"
Explanation :

Answer: C) 1425/18 min Explanation: 55 min. spaces are covered in 60 min.60 min. spaces are covered in ((60/55) x 60) min = 720/11 min.Loss in 65 min. = (720/11 - 65 ) = 5/11Loss in 24 hrs = (5/11 x 1/65 x 24 x 60)min = 1440/143 min.

Q: The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ? 1297 0

  • 1
    28
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    37
    Correct
    Wrong
  • 4
    17
    Correct
    Wrong
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Answer : 4. "17"
Explanation :

Answer: D) 17 Explanation: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.P + Q = 8 ----- (1)(10Q + P) - (10P + Q) = 549(Q - P) = 54(Q - P) = 6 ----- (2)Solve (1) and (2) P = 1 and Q = 7The required number is = 17

Q: Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ? 1981 0

  • 1
    84 yrs
    Correct
    Wrong
  • 2
    96 yrs
    Correct
    Wrong
  • 3
    116 yrs
    Correct
    Wrong
  • 4
    108 yrs
    Correct
    Wrong
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Answer : 4. "108 yrs"
Explanation :

Answer: D) 108 yrs Explanation: Let the present ages of the mother and daughter be 2x and x years respectively. Then, (2x - 18) = 3(x - 18) => x = 36 Required sum = (2x + x) = 108 years.

Q: In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ? 3452 0

  • 1
    14th
    Correct
    Wrong
  • 2
    16th
    Correct
    Wrong
  • 3
    18th
    Correct
    Wrong
  • 4
    20th
    Correct
    Wrong
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Answer : 3. "18th"
Explanation :

Answer: C) 18th Explanation: Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in middle of these 15 persons, so Mamta`s position is 8th from Amrita i.e. 18th from the front.

Q: If L exceeds K by 30%, then K is less than L by ? 1621 0

  • 1
    14 2/5 %
    Correct
    Wrong
  • 2
    23 1/3 %
    Correct
    Wrong
  • 3
    20 %
    Correct
    Wrong
  • 4
    16 %
    Correct
    Wrong
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Answer : 2. "23 1/3 %"
Explanation :

Answer: B) 23 1/3 % Explanation: K = 100 L = 130130------ 30100------- ? => 23 1/13 %

Q: If every seconds Saturday and all Sundays are holidays in a 30 days month beginning on Saturday, then how many working days are there in that month ? (Month starts from Saturday) 1593 0

  • 1
    25
    Correct
    Wrong
  • 2
    22
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    23
    Correct
    Wrong
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Answer : 4. "23"
Explanation :

Answer: D) 23 Explanation: As month begins on Saturday, so 2nd, 9th, 16th, 23rd, 30th days will be Sundays. While 8th and 22nd days are second Saturdays. Thus, there are 7 holidays in all. Hence, no. of working days = 30 – 7 =23

Q: If the positions of the first and the third digit within each number are interchanged, which of the following will be the third digit of the second lowest number ? 987, 514, 658, 487, 404, 269 4740 0

  • 1
    8
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 4. "4"
Explanation :

Answer: D) 4 Explanation: According to the question, after the position of the first and third digit interchanged new numbers are 789, 415, 856, 784, 404, 962 962, 856, 789, 784, 404, 415Here the second lowest number is 404 and the last digit of it is '4'.

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 ? 1697 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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