GATE Practice Question and Answer

Q: In a certain encryption pattern, HARD is coded as 1357 and SOFT is coded as 2468, What will 21448 stand for ? 3621 0

  • 1
    SHAFT
    Correct
    Wrong
  • 2
    SHOOT
    Correct
    Wrong
  • 3
    RAFTS
    Correct
    Wrong
  • 4
    ROOTS
    Correct
    Wrong
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Answer : 2. "SHOOT"
Explanation :

Answer: B) SHOOT Explanation: AS HARD is coded as "1357" and SOFT is coded as "2468"So H is coded as 1, A as 3, R as 5, D as 7and S as 2, O as 4, F as 6, T as 8 Now in 21448, go number by number2 is the code for S1 is the code for H4 is the code for Oand 8 is the code for T hence, 21448 will stand for SHOOT

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Answer : 1. "Only a follows"
Explanation :

Answer: A) Only a follows Explanation: The statement mentions that chances of heart ailments are greatly reduced by a regular half-hour exercise. So, a follows. However, it talks of only reducing the probability which does not mean that persons involved in sedentary jobs shall definitely suffer from heart ailments. So, b does not follow. Hence, concusion a only follows the given statement.

Q: If a number 72k23l is divisible by 88. Then find value of k and l ? 2173 0

  • 1
    k=8 & l=2
    Correct
    Wrong
  • 2
    k=7 & l=2
    Correct
    Wrong
  • 3
    k=8 & l=3
    Correct
    Wrong
  • 4
    k=7 & l=1
    Correct
    Wrong
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Answer : 2. "k=7 & l=2"
Explanation :

Answer: B) k=7 & l=2 Explanation: If a number to be divisile by 88, it should be divisible by both "8" and "11" Check for '8' :For a number to be divisible by "8", the last 3-digit should be divisible by "8"Here 72x23y --> last 3-digit is '23y'So y=2 [ (i.e) 232 is absolutely divisible by "8"] Chech for '11' :For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"(7 + x + 3) - (2 + 2 + y)(7 + x + 3) - (2 + 2 + 2)(10 + x) - 6 should be divisible by "11"for x = 7=> 17 - 6 = 11 [ which is absolutely divisible by "11"] So x = 7 , y= 2.

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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: One girl can eat 112 chocolates in half a minute, and her boy friend can eat half as many in twice the length of time. How many chocolates can both boy and girl eat in 12 seconds ? 1594 0

  • 1
    44
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    56
    Correct
    Wrong
  • 4
    49
    Correct
    Wrong
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Answer : 3. "56"
Explanation :

Answer: C) 56 Explanation: Girl eats 112 chocolates in 30 sec so she can eat in 12 sec is 12 x 112/30 = 44.8 chocolates.   Her boy friend can eat one-half of 112 in twice of 30 sec so he can eat 56 in 60 sec Then he can eat in 12 sec is 56 x 12/60 = 11.2 chocolates.   Hence, together they can eat = 44.8 + 11.2 =56 chocolates in 12 seconds.

Q: Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ? 1549 0

  • 1
    8/15
    Correct
    Wrong
  • 2
    7/15
    Correct
    Wrong
  • 3
    1/15
    Correct
    Wrong
  • 4
    4/15
    Correct
    Wrong
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Answer : 2. "7/15"
Explanation :

Answer: B) 7/15 Explanation: Given total students in the class = 60Students who are taking Economics = 24 andStudents who are taking Calculus = 32Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4Students who are taking calculus only = 32 - 4 = 28probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

Q: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ? 2721 0

  • 1
    74
    Correct
    Wrong
  • 2
    79
    Correct
    Wrong
  • 3
    72
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
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Answer : 1. "74"
Explanation :

Answer: A) 74 Explanation: Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12To raise the average by one (from 14 to 15), he scored 12 more than the existing average.Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.

Q: When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me.The average age of my family during my marriage is same as today. What is the age of Father when he died ? 4330 0

  • 1
    50 yrs
    Correct
    Wrong
  • 2
    60 yrs
    Correct
    Wrong
  • 3
    70 yrs
    Correct
    Wrong
  • 4
    65 yrs
    Correct
    Wrong
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Answer : 2. "60 yrs"
Explanation :

Answer: B) 60 yrs Explanation: Let the Father be x years when he died Average Age 10 years ago be A Total Age 10 years ago = 6*A Total Age after 10 years(Just before father's Death) = 6A + 6*10 = 6A + 60 Father Died and Baby was born => the Total number of people in the family is Same (6) Baby born today so age of baby = 0 (6A +60 - x)/6 = 6A/6 => A + 10 -(x/6) = A => x/6 = 10 => x = 60 Therefore we can conclude that the father was 60 years old when he died.

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