GATE Practice Question and Answer

Q: In the following number series only one number is wrong. Find out the wrong number ? 6, 15, 35, 63, 143, 221, 323 2241 0

  • 1
    143
    Correct
    Wrong
  • 2
    63
    Correct
    Wrong
  • 3
    323
    Correct
    Wrong
  • 4
    35
    Correct
    Wrong
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Answer : 2. "63"
Explanation :

Answer: B) 63 Explanation: Here the series follows the pattern that, product of succesive prime numbers i.e,  2 × 3 = 6  3 × 5 = 15  5 × 7 = 35  7 × 11 = 77  11 × 13 = 143  13 × 17 = 221  17 × 19 = 323 So here in place of 77 the number 63 is written. So the wrong number is 63.

Q: Which of the Following is an Amorphous solid? 2241 0

  • 1
    Quartz Glass(Sio2)
    Correct
    Wrong
  • 2
    Chrome Alum
    Correct
    Wrong
  • 3
    Silicon Carbide(SiC)
    Correct
    Wrong
  • 4
    Graphite
    Correct
    Wrong
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Answer : 1. "Quartz Glass(Sio2)"
Explanation :

Answer: A) Quartz Glass(Sio2) Explanation: An amorphous or non-crystalline solid is a solid that lacks the long-range order that is characteristic of a crystal. In Brief, An amorphous solid is any noncrystalline solid in which the atoms and molecules are not organized in a definite lattice pattern. Such solids include glass, plastic, and gel. Quartz glass (SiO2) is an amorphous solid due to its short range order of constituent particles. Note Quartz is a crystalline solid while quartz glass is an amorphous solid.

Q: The Rain Shadow Effect is associated with 2241 1

  • 1
    Convectional rainfall
    Correct
    Wrong
  • 2
    Frontal rainfall
    Correct
    Wrong
  • 3
    Cyclonic rainfall
    Correct
    Wrong
  • 4
    Orographic rainfall
    Correct
    Wrong
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Answer : 4. "Orographic rainfall"
Explanation :

Answer: D) Orographic rainfall Explanation: Orographic precipitation or Rain produced when moist air is lifted as it moves over a mountain range. As the air rises and cools, orographic clouds form and serve as the source of the precipitation, most of which falls upwind of the mountain ridge.   Some also falls a short distance downwind of the ridge and is sometimes called spillover. On the lee side of the mountain range, rainfall is usually low, and the area is said to be in a Rain Shadow.

Q: Important Time and Distance formulas with examples. 2240 0

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Answer :
Explanation :

1. How to find Speed(s) if distance(d) & time(t) is given:    Speed (S) = Distance (D)Time (T)     Ex: Find speed if a person travels 4 kms in 2 hrs? Speed = D/T = 4/2 = 2 kmph.   2.  Similarly, we can find distance (d)  if speed (s) & time (t) is given by   Distance (D) = Speed (S) x Time (T)   Ex : Find distance if a person with a speed of 2 kmph in 2 hrs? Distance D = S X T = 2 x 2 = 4 kms.    3.  Similarly, we can find time (t) if speed (s) &  distance (d) is given by   Time (T) = Distance (D)Speed (S)   Ex : Find in what time a person travels 4 kms with a speed of 2 kmph? Time T = D/S = 4/2 = 2 hrs.   4. How to convert  km/hr into m/sec :   P km/hr = P x 518 m/sec   Ex : Convert 36 kmph into m/sec? 36 kmph = 36 x 5/18 = 10 m/sec    5. How to convert  m/sec into km/hr :   P m/sec = P x 185 kmph.   Ex : Convert 10 m/sec into km/hr? 10 m/sec = 10 x 18/5 = 36 kmph.   6.  If the ratio of the speeds of A and B is a:b, then the ratio of the times taken by them to cover the same distance is b : a.   7.  Suppose a man covers a certain distance at x km/ hr and an equal distance at y km/hr . Then, the average speed during the whole journey is 2xyx+y km/hr.

Q: A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ? 2239 0

  • 1
    1.5 hrs
    Correct
    Wrong
  • 2
    1.7 hrs
    Correct
    Wrong
  • 3
    2.2 hrs
    Correct
    Wrong
  • 4
    3.5 hrs
    Correct
    Wrong
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Answer : 3. "2.2 hrs"
Explanation :

Answer: C) 2.2 hrs Explanation: Let the original Speed be "s" kmphAnd the usual time be "t" hrsGiven that if the bus is running at 9s/10 kmph the time is 22 hrs=> [9s/10] x 22 = t x s=> 99/5 = t => t = 19.8 hrs   Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.

Q: Choose what replaces '?' in the following figure ? 2239 0

  • 1
    Q
    Correct
    Wrong
  • 2
    O
    Correct
    Wrong
  • 3
    M
    Correct
    Wrong
  • 4
    N
    Correct
    Wrong
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Answer : 4. "N"
Explanation :

Answer: D) N Explanation: The alphabetical value of the letters in the left hand column follows through the sequence of Prime Numbers, with the letters in the right hand column representing the corresponding reverse alphabetical values. So, M = Reverse of M = N.

Q: Light travels fastest in 2239 0

  • 1
    Air
    Correct
    Wrong
  • 2
    Water
    Correct
    Wrong
  • 3
    Glass
    Correct
    Wrong
  • 4
    Diamond
    Correct
    Wrong
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Answer : 1. "Air"
Explanation :

Answer: A) Air Explanation: Light travels fastest in Vacuum. The fastest thing in the whole universe is the speed of light in a vacuum like outer space. It is about 2.99 x 108 m/s.

Q: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is  ? 2238 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "5"
Explanation :

Answer: A) 5 Explanation: Let the number be x. Then,   3x2 - 4x = x + 50   3x2- 5x - 50 = 0   (3x + 10)(x - 5) = 0   x = 5

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