GATE Practice Question and Answer

Q: A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ? 3648 0

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

Answer: C) 3:2 Explanation: Let us assume S as number of shirts and T as number of trousersGiven that each trouser cost = Rs.70 and that of shirt = Rs.30Therefore, 70 T + 30 S = 810=> 7T + 3S = 81......(1)T = ( 81 - 3S )/7 We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of TSimplifying by taking 3 as common factor i.e, 3(27-S) / 7In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7 Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9 Hence for S, put T in eq(1), we getS = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.The ratio of T:S = 9:6 = 3:2.

Q: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ? 3643 0

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    127.5 m
    Correct
    Wrong
  • 2
    254 m
    Correct
    Wrong
  • 3
    184 m
    Correct
    Wrong
  • 4
    212 m
    Correct
    Wrong
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Answer : 1. "127.5 m"
Explanation :

Answer: A) 127.5 m Explanation: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m. When B runs 900 m, distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 m. In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C. In a race of 600 m, the number of meters by which A beats C = (600 x 212.5)/1000 = 127.5 m.

Q: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? 3642 0

  • 1
    145
    Correct
    Wrong
  • 2
    165
    Correct
    Wrong
  • 3
    175
    Correct
    Wrong
  • 4
    135
    Correct
    Wrong
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Answer : 3. "175"
Explanation :

Answer: C) 175 Explanation: Given that,  working days = 5  working hours = 8  A man get rupess per hour is Rs.2.40  So in one day the man get total rupees is 2.40 x 8 = 19.2  So in 5 days week the man get total rupees is 19.2 x 5 = 96  So in 4 week the man get total rupees is 96 x 4 = 384  So the man worked for = 160hours in 4 weeks    But given that the man earned Rs.432    Hence remaning money is (432-384 = 48)which is earn by doing overtime work   Overtime hours  = 48/3.20 = 15 So total worked hours is = 15 + 160 = 175.

Q: If 6 engines consume 24 metric tonnes of coal, when each is working 8 hours day, how much coal will be required for 9 engines, each running 13hours a day, it being given that 2 engines of former type consume as much as 3 engines of latter type ? 3639 0

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    45 metric tonnes
    Correct
    Wrong
  • 2
    47 metric tonnes
    Correct
    Wrong
  • 3
    55 metric tonnes
    Correct
    Wrong
  • 4
    34 metric tonnes
    Correct
    Wrong
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Answer : 1. "45 metric tonnes"
Explanation :

Answer: A) 45 metric tonnes Explanation: 2 engines of former type for one hour consumes (2 x 24)/(6 x8) = 1 metric ton  i.e. 3 engines of latter type consumes 1 ton for one hour Hence 9 engines consumes 3 tons for one hour For 15 hours it is 15 x 3 = 45 metric tonnes.

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Answer : 3. "J"
Explanation :

Answer: C) J Explanation: Given word is TIRADESNow the consonants T, R, D, S are replaced by S, Q, C, RAnd Vowels are I, A, E are replaced by J, B and FThey are arranged alphabeticallyNew word is BCFJQRS The fourth letter from the right end is J.

Q: The age of Sohail, Afzal and Bilal are 17,16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam? 3622 0

  • 1
    32
    Correct
    Wrong
  • 2
    33
    Correct
    Wrong
  • 3
    34
    Correct
    Wrong
  • 4
    35
    Correct
    Wrong
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Answer : 4. "35"
Explanation :

Answer: D) 35 Explanation: Given S = 17 yrs A = 16 yrs B = 12 yrs Average = 17 + 16 + 12/3 = 15 yrs Given if Aslam added to them, their average increases by 5 => Average of 4 members = 20 Let the age of Aslam be 'x' Then,  17 + 16 + 12 + x /4 = 20 => x = 80 - 45 => x = 35.    Hence, the age of Aslam is 35 yrs.

Q: Which statement best describes an O3 molecule? 3621 0

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    The double bond in ozone switches back and forth between the two outer oxygen atoms
    Correct
    Wrong
  • 2
    An ozone molecule contains one single bond and one double bond
    Correct
    Wrong
  • 3
    Each atom in ozone is connected to another atom by 1.5 bonds.
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "An ozone molecule contains one single bond and one double bond"
Explanation :

Answer: B) An ozone molecule contains one single bond and one double bond Explanation: Ozone molecule has one single bond and one double bond.

Q: What is the next number in the given Number Series? 5, 24, 94, 279, ? 3615 0

  • 1
    587
    Correct
    Wrong
  • 2
    554
    Correct
    Wrong
  • 3
    489
    Correct
    Wrong
  • 4
    499
    Correct
    Wrong
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Answer : 2. "554"
Explanation :

Answer: B) 554 Explanation: The given number series follows a pattern that 5 x 5 – 1 = 24 24 x 4 – 2 = 94 94 x 3 – 3 = 279 279 x 2 – 4 = 554

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