GATE Practice Question and Answer

Q: If in the following set of numbers, the first and the third digits are interchanged in each number, which number will be second from the end if arranged in ascending order after interchanging the digits ? 585  546  514  404  206  369 1765 0

  • 1
    404
    Correct
    Wrong
  • 2
    585
    Correct
    Wrong
  • 3
    415
    Correct
    Wrong
  • 4
    602
    Correct
    Wrong
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Answer : 3. "415"
Explanation :

Answer: C) 415 Explanation: Given numbers are 585 546 514 404 206 369Then interchanging the 1st and 3rd digits of the given numbers, we get585 645 415 404 602 963Now, arranging them in ascending order963 645 602 585 415 404Then the last second number is 415.

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Answer : 4. "3"
Explanation :

Answer: D) 3 Explanation: Given teacher drinks 9 ltrLet number of boys be 'A'.Let number of girls be 'B'.Boy drinks 7 ltr and girl drinks 4 ltrAfter class total water consumed = 42 ltrThen,9 + 7A + 4B = 42=> 7A + 4B = 33By trial and error method,The only integers which satisfy the equation is A = 3 and B = 3Therefore, number of girls in the class = 3.

Q: 125% as a Fraction? 1762 0

  • 1
    1/4
    Correct
    Wrong
  • 2
    3/4
    Correct
    Wrong
  • 3
    5/4
    Correct
    Wrong
  • 4
    7/4
    Correct
    Wrong
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Answer : 3. "5/4"
Explanation :

Answer: C) 5/4 Explanation: Literally any percentage means divide by 100. So 125% = 125100. That can be reduced to 5/4. To convert to a decimal, you can do long division, dividing 5 into 4.

Q: In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b. 1.  5a2-18a+9=0 2.  3b2+5b-2=0 1760 0

  • 1
    a >= b
    Correct
    Wrong
  • 2
    a <= b
    Correct
    Wrong
  • 3
    a < b
    Correct
    Wrong
  • 4
    a > b
    Correct
    Wrong
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Answer : 4. "a > b"
Explanation :

Answer: D) a > b Explanation: From solving 1 and 2 we get,   1. 5a(a-3)-3(a-3) = 0   (5a-3)(a-3) = 0   a = 3 or 3/5   2.    3b(b+2)-1(b+2) = 0   b = -2 or b = 1/3   Here when a = 3, a > b for b = -2 and b = 1/3   when a = 3/5. a > b for b = -2 and b = 1/3.   Hence, it is clear that a > b.

Q: The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ? 1760 0

  • 1
    15 mts
    Correct
    Wrong
  • 2
    30 mts
    Correct
    Wrong
  • 3
    24 mts
    Correct
    Wrong
  • 4
    36 mts
    Correct
    Wrong
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Answer : 2. "30 mts"
Explanation :

Answer: B) 30 mts Explanation: The cow can graze an area of 2826 sq.m i.e it is able to cover area of circle of 2826 sq.m   Therefore, πr2 =2826r2 =(2826×7/22) = 899.18 = 900r = 30 m.   Therefore, the radius of the circle implies the length of the rope = 30 mts.

Q: The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is: 1759 0

  • 1
    30
    Correct
    Wrong
  • 2
    27
    Correct
    Wrong
  • 3
    23
    Correct
    Wrong
  • 4
    33
    Correct
    Wrong
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Answer : 1. "30"
Explanation :

Answer: A) 30 Explanation: Then, A:B = 2:3 and B:C = 5:8= (5 x 3/5) : (8 x 3/5) = 3:24/5A:B:C = 2:3:24/5= 10:15:24 => B = 98 x 15/49 = 30.

Q: On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students? 1759 0

  • 1
    380
    Correct
    Wrong
  • 2
    420
    Correct
    Wrong
  • 3
    441
    Correct
    Wrong
  • 4
    400
    Correct
    Wrong
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Answer : 2. "420"
Explanation :

Answer: B) 420 Explanation: Given total number of students in the class = 21   So each student will have 20 greeting cards to be send or receive (21 - 1(himself))   Therefore, the total number of greeting cards exchanged by the students = 20 x 21 = 420.

Q: The p wave of a normal Electrocardiogram indicates 1758 0

  • 1
    atrial depolarization
    Correct
    Wrong
  • 2
    Ventricular repolarization
    Correct
    Wrong
  • 3
    atrial repolarization
    Correct
    Wrong
  • 4
    Ventricular depolarization
    Correct
    Wrong
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Answer : 1. "atrial depolarization"
Explanation :

Answer: A) atrial depolarization Explanation: The P wave in the ECG represents atrial depolarization, which results in atrial contraction, or atrial systole. The P wave is a summation wave generated by the depolarization front as it transits the atria.

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