GATE Practice Question and Answer

Q: The average age of a couple and their son was 40 years, the son got married and a child was born just two years after their marriage. When child turned to 10 years, then the average age of the family becomes 38 years. What was the age of the daughter in law at the time of marriage ? 3168 0

  • 1
    12 years
    Correct
    Wrong
  • 2
    10 years
    Correct
    Wrong
  • 3
    14 years
    Correct
    Wrong
  • 4
    13 years
    Correct
    Wrong
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Answer : 1. "12 years"
Explanation :

Answer: A) 12 years Explanation: Given the average age of couple and their son = 40 => Sum of age (H +W +S) = 40×3 Let the age of daughter in law at the time of marriage = D years Now after 10 years, (H + S +W) + 3×12 + D +12 + 10 = 38×5 178 + D = 190 D = 190 -178 = 12 years

Q: Which is the point from where an azimuth originates? 3167 0

  • 1
    South
    Correct
    Wrong
  • 2
    North
    Correct
    Wrong
  • 3
    East
    Correct
    Wrong
  • 4
    West
    Correct
    Wrong
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Answer : 2. "North"
Explanation :

Answer: B) North Explanation: The azimuth originates at true North i.e, the azimuth originates from the north point. It is a measure of how far an object forms the observer's north point.   Azimuth is a technical mapping term which is used to describe the direction of an angle between north and south on a compass circle through which the circle line passes. It is the most common military method to express direction. When using an azimuth, the point from which the azimuth originates is the center of an imaginary circle.

Q: If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ? 3164 1

  • 1
    Rs. 175
    Correct
    Wrong
  • 2
    Rs. 325
    Correct
    Wrong
  • 3
    Rs. 340
    Correct
    Wrong
  • 4
    Rs. 260
    Correct
    Wrong
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Answer : 3. "Rs. 340"
Explanation :

Answer: C) Rs. 340 Explanation: Assume first child (the youngest) get = Rs. x According to the question ;each son having Rs. 30 more than the younger one Second child will get = Rs. x + 30 Third child will get = Rs. x + 30 + 30 = x + 60 Forth child will get = Rs. x + 30 + 30 + 30 = x + 90 Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120 Total amount they got = Rs. 2000 x + (x+30) + (x+60) + (x+90) + (x+120) = 20005x + 300 = 20005x = 1700x = Rs. 340So the youngest child will get Rs. 340.

Q: How many zeros are there from 1 to 10000 ? 3164 0

  • 1
    2893
    Correct
    Wrong
  • 2
    4528
    Correct
    Wrong
  • 3
    6587
    Correct
    Wrong
  • 4
    4875
    Correct
    Wrong
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Answer : 1. "2893"
Explanation :

Answer: A) 2893 Explanation: For solving this problem first we would break the whole range in 5 sections 1) From 1 to 9Total number of zero in this range = 0 2) From 10 to 99Total possibilities = 9*1 = 9 ( here 9 is used for the possibilities of a non zero integer) 3) From 100 to 999 - three type of numbers are there in this range a) x00 b) x0x c) xx0 (here x represents a non zero number)Total possibilities for x00 = 9*1*1 = 9, hence total zeros = 9*2 = 18for x0x = 9*1*9 = 81, hence total zeros = 81similarly for xx0 = 81 total zeros in three digit numbers = 18 + 81 +81 = 180 4) From 1000 to 9999 - seven type of numbers are there in this rangea)x000 b)xx00 c)x0x0 d)x00x e)xxx0 f)xx0x g)x0xxTotal possibilities for x000 = 9*1*1*1 = 9, hence total zeros = 9*3 = 27 for xx00 = 9*9*1*1 = 81, hence total zeros = 81*2 = 162 for x0x0 = 9*1*9*1 = 81, hence total zeros = 81*2 = 162for x00x = 9*1*1*9 = 81, hence total zeros = 81*2 = 162 for xxx0 = 9*9*9*1 = 729, hence total zeros = 729*1 = 729for xx0x = 9*9*1*9 = 729, hence total zeros = 729*1 = 729for x0xx = 9*1*9*9 = 729, hence total zeros = 729*1 = 729total zeros in four digit numbers = 27 + 3*162 + 3*729 = 2700thus total zeros will be 0+9+180+2700+4 (last 4 is for 4 zeros of 10000)= 2893

Q: If 15 men 4 hours per day works for 14 days get Rs.35/- then how many men required if the work is 8 hours per day for 10 days they get 50/- ? 3160 0

  • 1
    12
    Correct
    Wrong
  • 2
    13
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 4. "15"
Explanation :

Answer: D) 15 Explanation: We know M1×D1×H1W1 = M2×D2×H2W2    => 15×4×1435 = M×8×1050   => M = 15

Q: Square is to Triangle and Cube is to 3152 0

  • 1
    Pyramid
    Correct
    Wrong
  • 2
    Rectangle
    Correct
    Wrong
  • 3
    Ice
    Correct
    Wrong
  • 4
    Rhombus
    Correct
    Wrong
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Answer : 1. "Pyramid"
Explanation :

Answer: A) Pyramid Explanation: Square is 2-dimensional 4 sided figure Whereas Cube is 3-dimensional figure which looks like Square.   Similarly, Triangle is 2-dimensional 3 sided figure Whereas Pyramid is 3-dimensional figure which looks like Triangle.

Q: Sponge is to Porous as Rubber is to 3147 0

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    Inflexible
    Correct
    Wrong
  • 2
    Elastic
    Correct
    Wrong
  • 3
    Solid
    Correct
    Wrong
  • 4
    Massive
    Correct
    Wrong
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Answer : 2. "Elastic"
Explanation :

Answer: B) Elastic Explanation: A sponge is a porous material. Rubber is an elastic material.  Since Rubber is not a Massive or solid and not an inflexible thing, it is elastic.

Q: When combining with nonmetallic atoms, metallic atoms generally will 3143 0

  • 1
    Lose electrons and forms cations
    Correct
    Wrong
  • 2
    Gain electrons and forms anions
    Correct
    Wrong
  • 3
    Lose electrons and forms anions
    Correct
    Wrong
  • 4
    Gain electrons and forms cations
    Correct
    Wrong
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Answer : 1. "Lose electrons and forms cations"
Explanation :

Answer: A) Lose electrons and forms cations Explanation: When combining with nonmetallic atoms, metallic atoms generally will Lose electrons and forms cations.   As the ionization energy of te metals are very low, so they can easily lose electrons and form positively charged ion called cations.

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