GATE Practice Question and Answer

Q: Rajitha's present age is three years less than twice her age 12 years ago. Also, the ratio of Raj's present age to Rajitha's present age is 4:9. What will be Raj's age after 5 years ? 1712 0

  • 1
    17 yrs
    Correct
    Wrong
  • 2
    16 yrs
    Correct
    Wrong
  • 3
    19 yrs
    Correct
    Wrong
  • 4
    21 yrs
    Correct
    Wrong
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Answer : 1. "17 yrs"
Explanation :

Answer: A) 17 yrs Explanation: Let the present age of Raj and Rajitha be 4x and 9x.Then, according to question,9x = 2(9x-12)-3 => 9x = 27 => x = 3Raj's present age = 4x = 12yrs, After 5 years Raj's age will be 12 + 5 = 17 yrs.

Q: Find the number of factors of 9321 ? 3122 0

  • 1
    4
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 4. "8"
Explanation :

Answer: D) 8 Explanation: 9321 = 3 x 13 x 239 = 31 x 13 1 x 239 1 ; add one to all the powers ie., (1+1) x (1+1) x (1+1)= 8 ; we get eight factors.

Q: One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ? 4987 0

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    Rs.1,92,000
    Correct
    Wrong
  • 2
    Rs.2,24,000
    Correct
    Wrong
  • 3
    Rs.1,26,000
    Correct
    Wrong
  • 4
    Rs.3,42,000
    Correct
    Wrong
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Answer : 2. "Rs.2,24,000"
Explanation :

Answer: B) Rs.2,24,000 Explanation: One-quarter of one-seventh = 1/4 x 1/7= 1/28Now, 1/28 of a land costs = Rs. 30,000Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15= Rs. 2,24,000.

Q: Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ? 2355 0

  • 1
    900 mts
    Correct
    Wrong
  • 2
    300 mts
    Correct
    Wrong
  • 3
    250 mts
    Correct
    Wrong
  • 4
    500 mts
    Correct
    Wrong
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Answer : 4. "500 mts"
Explanation :

Answer: D) 500 mts Explanation: Using pythagarous theorem,distance travelled by first train = 36x5/18x30 = 300mdistance travelled by second train = 48x5/18x30 = 400mso distance between them =√( 90000 + 160000) = √250000 = 500mts.

Q: What is the right most integer of the expression 65776759 + 54697467  ? 9967 0

  • 1
    4
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Last digit for the power of 6 is 6 (always) Power cycle of 7 is 7, 9, 3, 1. Now 467/4 gives a remainder of 3 Then the last digit is 73 = 3 Last digit is 6 + 3 = 9.

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 ? 1107 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: Statement: The Chairman stressed the need for making education system more flexible and regretted that the curriculum has not been revised in keeping with the pace of the changes taking place.Course of action:a. Curriculum should be reviewed and revised periodically.b. System of education should be made more flexible. 1787 0

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    Only a follows
    Correct
    Wrong
  • 2
    Only b follows
    Correct
    Wrong
  • 3
    Both a & b follows
    Correct
    Wrong
  • 4
    Neither a nor b follows
    Correct
    Wrong
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Answer : 3. "Both a & b follows"
Explanation :

Answer: C) Both a & b follows Explanation: Clearly, the situation demands making the education system more flexible and changing it periodically according to the needs of the time. So, both the courses follow.

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 ? 2984 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.

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