GATE Practice Question and Answer

Q: In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ? 2115 0

  • 1
    5!
    Correct
    Wrong
  • 2
    6!
    Correct
    Wrong
  • 3
    4!
    Correct
    Wrong
  • 4
    Can't determine
    Correct
    Wrong
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Answer : 4. "Can't determine"
Explanation :

Answer: D) Can't determine Explanation: NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions. And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions. Therefore, Can't be determined.

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Answer : 4. "None of the statements is required"
Explanation :

Answer: D) None of the statements is required Explanation: From the given data, (60 - 45)% = 12.5 + 415% = 16.5=> 100% = ?100% = 16.5 x 100/15 = 110 Hence, P = 45% of 110 = 45x110/100 = 49.5 Q = 50% of 110 = 55R = 60% of 110 = 60 x 110/100 = 66M = 12.5 + 49.5 = 62 or 66 - 4 = 62   Hence, no statement is required to answer.

Q: Find the missing number in the given number series? 5 11 21 44 ? 175 2113 0

  • 1
    86
    Correct
    Wrong
  • 2
    78
    Correct
    Wrong
  • 3
    94
    Correct
    Wrong
  • 4
    102
    Correct
    Wrong
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Answer : 1. "86"
Explanation :

Answer: A) 86 Explanation: Here the given number series is 5  11  21  44  ?  175   Now the given series follows a pattern, that   x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...   Then the missing number is x2 - 2   = 44 x 2 - 2 = 88 - 2 = 86   Hence, the missing number in the number series is 86.

Q: The Ankle is a third-class lever. 2112 0

  • 1
    TRUE
    Correct
    Wrong
  • 2
    FALSE
    Correct
    Wrong
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Answer : 2. "FALSE"
Explanation :

Answer: B) FALSE Explanation: False. The ankle is not the third-class lever in the body.   Levers are typically labeled as first class, second class, or third class. All three types are found in the body, but most levers in the human body are third class. First-class levers in the human body are rare and have the axis (fulcrum) located between the weight (resistance) and the force. One example is the joint between the head and the first vertebra. In a second-class lever, the weight (resistance) is located between the axis (fulcrum) and the force. An example of a second-class lever in the human body is found in the lower leg when someone stands on tiptoes In a third-class lever, the most common in the human body, force is applied between the resistance (weight) and the axis (fulcrum). There are numerous third-class levers in the human body; one example can be illustrated in the elbow joint.

Q: Find the Missing number in the given number series? 5, 9, 15, 23, ?, 45 2110 0

  • 1
    33
    Correct
    Wrong
  • 2
    29
    Correct
    Wrong
  • 3
    31
    Correct
    Wrong
  • 4
    35
    Correct
    Wrong
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Answer : 1. "33"
Explanation :

Answer: A) 33 Explanation: The given series follows a pattern that, +4, +6, +8, +10, +12... 5 5 + 4 = 9 9 + 6 = 15 15 + 8 = 23 23 + 10 = 33 33 + 12 = 45   Hence, the missing number in the series is 33.

Q: If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true  ? 2107 0

  • 1
    x > y < z
    Correct
    Wrong
  • 2
    x < y < z
    Correct
    Wrong
  • 3
    x > y > z
    Correct
    Wrong
  • 4
    z < x < y
    Correct
    Wrong
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Answer : 4. "z < x < y"
Explanation :

Answer: D) z < x < y Explanation: x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3) As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5) As (√10 + 3) > (√8 + √7) > (√6 + √5) z < x < y.

Q: A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph. 2107 0

  • 1
    4314
    Correct
    Wrong
  • 2
    4213
    Correct
    Wrong
  • 3
    2413
    Correct
    Wrong
  • 4
    3414
    Correct
    Wrong
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Answer : 2. "4213"
Explanation :

Answer: B) Option B Explanation: Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmphtime taken indivisually: => 6/1.5 = 4 m=> 8/2 = 4 m=> 40/8 = 5 m   Average speed of man= total distance/ total time=> 54/13 = 4213 kmph

Q: Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ? 2107 0

  • 1
    Rs.1000
    Correct
    Wrong
  • 2
    Rs. 1020
    Correct
    Wrong
  • 3
    Rs.1210
    Correct
    Wrong
  • 4
    Rs.1140
    Correct
    Wrong
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Answer : 1. "Rs.1000"
Explanation :

Answer: A) Rs.1000 Explanation: Cost price of the article is given by = 400x100/(20+20) = Rs.1000

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