GATE Practice Question and Answer

Q: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ? 3738 0

  • 1
    101 men
    Correct
    Wrong
  • 2
    112 men
    Correct
    Wrong
  • 3
    102 men
    Correct
    Wrong
  • 4
    120 men
    Correct
    Wrong
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Answer : 3. "102 men"
Explanation :

Answer: C) 102 men Explanation: From the above formula i.e (m1 x t1/w1) = (m2 x t2/w2) so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)] so, M = 136 men   Number of men to be added to finish the work = 136-34 = 102 men.

Q: 96% of the population of a village is 23040. The total population of the village is ? 3736 0

  • 1
    24000
    Correct
    Wrong
  • 2
    32256
    Correct
    Wrong
  • 3
    25478
    Correct
    Wrong
  • 4
    26587
    Correct
    Wrong
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Answer : 1. "24000"
Explanation :

Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.

Q: A periscope works by the principle of 3735 0

  • 1
    Total internal reflection
    Correct
    Wrong
  • 2
    Refraction
    Correct
    Wrong
  • 3
    Diffraction
    Correct
    Wrong
  • 4
    Reflection & Refraction
    Correct
    Wrong
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Answer : 1. "Total internal reflection"
Explanation :

Answer: A) Total internal reflection Explanation: A periscope is an optical instrument that uses a system of prisms, lenses, or mirrors to reflect images through a tube.       Light from a distant object strikes the top mirror and is then reflected at an angle of 90 degrees down the periscope tube. At the bottom of the periscope, the light strikes another mirror and is then reflected into the viewer’s eye.   Hence, A periscope works by the principle of Total internal reflection.

Q: What is the next number of the following sequence ? 21, 77, 165, 285, ...... 3733 0

  • 1
    404
    Correct
    Wrong
  • 2
    415
    Correct
    Wrong
  • 3
    426
    Correct
    Wrong
  • 4
    437
    Correct
    Wrong
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Answer : 4. "437"
Explanation :

Answer: D) 437 Explanation: The series follow the rule,   21 = 77 = 92-4165 = 132-4285 = 172-4 5,9,13,17,21,(+4)...In the same way next no. will be 212-4 = 441 - 4 = 437

Q: P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ? 3733 0

  • 1
    120
    Correct
    Wrong
  • 2
    240
    Correct
    Wrong
  • 3
    360
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 1. "120"
Explanation :

Answer: A) 120 Explanation: 1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone) so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1 so R share = (1/10) x 1200 = 120.

Q: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ? 3726 0

  • 1
    17 + 4/7 days
    Correct
    Wrong
  • 2
    13 + 1/3 days
    Correct
    Wrong
  • 3
    15 + 3/2 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 2. "13 + 1/3 days"
Explanation :

Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.

Q: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8,748, its purchase price was ? 3725 0

  • 1
    Rs.14,000
    Correct
    Wrong
  • 2
    Rs.12,000
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 15,000
    Correct
    Wrong
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Answer : 2. "Rs.12,000"
Explanation :

Answer: B) Rs.12,000 Explanation: We have P = 8748, R = -10 and n = 3Therefore, the purchase price of the machine= P1+R100n= 87481-101003= 8748 x (100/90) x (100/90) x (100/90)= 12,000.   Therefore, the purchase price of the machine was Rs. 12,000.

Q: Mother’s age today is thrice as her daughter’s. After 10 years it would be just double. How old is the daughter today ? 3724 0

  • 1
    8 years
    Correct
    Wrong
  • 2
    9 years
    Correct
    Wrong
  • 3
    10 years
    Correct
    Wrong
  • 4
    11 years
    Correct
    Wrong
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Answer : 3. "10 years"
Explanation :

Answer: C) 10 years Explanation: Let the age of the daughter today be ‘x’ years. Mother’s age today = 3x years After 10 years, we have 3x + 10 = 2(x + 10) x = 10 years.

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