GATE Practice Question and Answer

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Q: Read the following information carefully and answer the question below. Seven Students – A, B, C, D, E, F and G like different Pens viz, Reynolds, Cello, Parker, Rotomac, Flair, Linc and Eilcos but not necessarily in the same order. They also study in three different standards viz. 9th, 10th and 12th. Not more than three and not less than two students study in the same class. A do not likes cello pen. Persons who like cello and Flair pens, study in the same class. G studies in 10th standard but he does not likes flair pen. B studies with only one student, who likes linc pens. B does not studies with G. E likes Rotomac but he do not study in class 9. D studies in class 9 but he does not like line pen. A does not study in class 12. F does not like linc pen. The one likes Parker pen, studies in class 10. The one, who likes Reynolds pen, studies in same class with one who likes Flair pen. D likes neither Flair pen nor cello pen. 1. Who likes Parker Pen ?     (1) F  (2) G  (3) H  (4) None 2. Three of the following four are similar in a certain way. Find the odd one ?     (1) BE  (2) AD  (3) EG  (4) DF 3. Which three student study in the same class ?     (1) ADE  (2) DFG  (3) ADF  (4) AEG 4. C likes which pen ?     (1) Reynolds  (2) Flair  (3) Cello  (4) Linc 4379 0

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Answer :
Explanation :

1. Answer (2) G 2. Answer (1) BE All other pairs are in same class. 3. Answer (3) ADF in class 9. 4. Answer (4) Linc pen.

Q: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 kmph. Then find the speed of faster train  ? 4375 0

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    68 kmph
    Correct
    Wrong
  • 2
    52 kmph
    Correct
    Wrong
  • 3
    76 kmph
    Correct
    Wrong
  • 4
    50 kmph
    Correct
    Wrong
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Answer : 1. "68 kmph"
Explanation :

Answer: A) 68 kmph Explanation: Let the speed of the faster train be 'X' kmph, Then their relative speed= X - 48 kmphTo cross slower train by faster train, Distance need to be cover = (400 + 600)m = 1 km. and Time required = 180 sec = 180/3600 hr = 1/20 hr.Time = Distance/Speed => 1/20 = 1/(x-48)X = 68 kmph

Q: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes  ? 4371 0

  • 1
    446
    Correct
    Wrong
  • 2
    415
    Correct
    Wrong
  • 3
    404
    Correct
    Wrong
  • 4
    430
    Correct
    Wrong
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Answer : 4. "430"
Explanation :

Answer: D) 430 Explanation: Let the total number of valid votes be 'V'. 70% of V = 70/100 x V = 7V/10 Number of votes secured by the other candidate = V - 7V/100 = 3V/10 Given, 7V/10 - 3V/10 = 172 => 4V/10 = 172 => 4V = 1720 => V = 430.

Q: 5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ? 4365 0

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    24 and 13 years
    Correct
    Wrong
  • 2
    48 and 24 years
    Correct
    Wrong
  • 3
    35 and 11 years
    Correct
    Wrong
  • 4
    33 and 15 years
    Correct
    Wrong
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Answer : 3. "35 and 11 years"
Explanation :

Answer: C) 35 and 11 years Explanation: Let the age of sushma be x and the age of her son is yThen five years before x-5=5(y-5) ...(1)Five years hence x+5 = 3(y+5)-8 .....(2) By soving (1) & (2), we get5y - 15 = 3y + 7y = 11 => x = 35 Therefore, the age of Sushma = 35 and her son = 11.

Q: If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ? 4333 0

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    75 min
    Correct
    Wrong
  • 2
    82 min
    Correct
    Wrong
  • 3
    90 min
    Correct
    Wrong
  • 4
    101 min
    Correct
    Wrong
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Answer : 3. "90 min"
Explanation :

Answer: C) 90 min Explanation: Let X = Time taken for each of Type B Problems(100 Problems)And 2X = Time taken for each of Type A problems(50 problems) Total time period = 3hrs = 3 x 60min = 180 minutes 100X + 50(2X) = 180100X + 100X = 180200X = 180 min X = 180/200X = 0.90 min By convertiing into seconds, X = 0.90 x 60 secondsX = 54 sec So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds= 5400/60sec = 90 minutes.

Q: Library is to Book as Book is to 4329 0

  • 1
    Words
    Correct
    Wrong
  • 2
    Pages
    Correct
    Wrong
  • 3
    Binding
    Correct
    Wrong
  • 4
    Cover
    Correct
    Wrong
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Answer : 2. "Pages"
Explanation :

Answer: B) Pages Explanation: A Library consists of Books in the same way Book consists Pages.   Hence, Library : Book :: Book : Pages.

Q: Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour? 4328 0

  • 1
    6-Green
    Correct
    Wrong
  • 2
    6-Red
    Correct
    Wrong
  • 3
    5-Purple
    Correct
    Wrong
  • 4
    7-Blue
    Correct
    Wrong
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Answer : 4. "7-Blue"
Explanation :

Answer: D) 7-Blue Explanation: From the given information the arrangement can be done as follows:    Position  Box  Colour         7         C       Blue       6         F       Green      5         B       Purple      4         E       Orange      3         G       Pink      2         A       Red      1         D       Yellow

Q: Which alphabet replaces the question mark ? 63 O 4972 T 3796 L 1514 ? 58 4305 0

  • 1
    A
    Correct
    Wrong
  • 2
    B
    Correct
    Wrong
  • 3
    C
    Correct
    Wrong
  • 4
    D
    Correct
    Wrong
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Answer : 3. "C"
Explanation :

Answer: C) C Explanation: 6-3 = 3 9-4 = 5 (3x5=15) 15=O7-2 = 5 7-3 = 4 (5x4=20) 20=T9-6 = 3 5-1 = 4 (3x4=12) 12=L Similarly, 4-1 = 3 8-5 = 1 (3x1=3) 3=C

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