GATE Practice Question and Answer

Q: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum  ? 2059 0

  • 1
    Rs.8000
    Correct
    Wrong
  • 2
    Rs.6500
    Correct
    Wrong
  • 3
    Rs.7500
    Correct
    Wrong
  • 4
    Rs.5000
    Correct
    Wrong
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Answer : 3. "Rs.7500"
Explanation :

Answer: C) Rs.7500 Explanation: p=d×1002R2  Where d is difference, r is rate of interest.  => (48 x 100 x 100) / 8 x 8 = Rs.7500

Q: A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number? 2059 0

  • 1
    420
    Correct
    Wrong
  • 2
    210
    Correct
    Wrong
  • 3
    70
    Correct
    Wrong
  • 4
    35
    Correct
    Wrong
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Answer : 2. "210"
Explanation :

Answer: B) 210 Explanation: Let the required number be 'p' We know, sum of angles in a triangle are 180 deg According to given data, p - p/7 = 180 7p - p = 180 x 7 => 6p = 1260 => p = 1260/6 = 210

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Answer : 1. "99"
Explanation :

Answer: A) 99 Explanation: Let, Distance between A and B = d   Distance travelled by P while it meets Q = d + 11   Distance travelled by Q while it meets P = d – 11   Distance travelled by Q while it meets R = d + 9   Distance travelled by R while it meets Q = d – 9   Here the ratio of speeds of P & Q => SP : SQ = d + 11 : d – 11   The ratio of speeds of Q & R => SQ : SR = d + 9 : d – 9   But given Ratio of speeds of P & R => P : R = 3 : 2  SPSR = SPSQxSQSR = d+11d+9d-11d-9   => d+11d+9d-11d-9 = 3/2   =>  d = 1, 99   => d = 99 satisfies.   Therefore, Distance between A and B = 99

Q: Assertive sentences examples list. 2057 0

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Answer :
Explanation :

An assertive sentence is a sentence that state, assert, or declare something. It means it is a simple statement making thing. As it declares something, is also called as Declarative sentence.       Examples of assertive sentence or statements ::   1. Anamika loves him very much.   2. He picks her daily.   3. Attitude is everything.   4. The sun sets in the west.   5. She likes roses.   6. He is a student.   7. Karthik planned a tour.   8. Peacock is a beautiful bird.   9. India is our country.   10. Joel want to be a doctor.

Q: Find the missing number in the following Series ? 18, 97, 26, 91, ? , 83 2053 0

  • 1
    32
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    30
    Correct
    Wrong
  • 4
    34
    Correct
    Wrong
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Answer : 4. "34"
Explanation :

Answer: D) 34 Explanation: The given series follows the pattern that, 18, 97, 26, 91, ?, 83 => 18 + 8 = 26 => 97 - 8 = 91 => 26 + 8 = 34 => 91 - 8 = 83 Hence, the missing number is 34.

Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ? 2053 0

  • 1
    1/7
    Correct
    Wrong
  • 2
    8!
    Correct
    Wrong
  • 3
    7!
    Correct
    Wrong
  • 4
    1/14
    Correct
    Wrong
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Answer : 4. "1/14"
Explanation :

Answer: D) 1/14 Explanation: The 8 letters can be written in 8! ways.n(S) = 8!Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.Now the letters a, (bcde), f, g and h can be arranged in 5! ways.The letters b,c,d and e can be arranged themselves in 4! ways.n(E) = 5! x 4!Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14Hence the answer is 1/14.

Q: The average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 yrs, and B is 5 years younger to C, then find the difference between the age of A and C? 2052 0

  • 1
    11 yrs
    Correct
    Wrong
  • 2
    9 yrs
    Correct
    Wrong
  • 3
    7 yrs
    Correct
    Wrong
  • 4
    13 yrs
    Correct
    Wrong
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Answer : 2. "9 yrs"
Explanation :

Answer: B) 9 yrs Explanation: Let the present ages of A and B be 'x' and 'y' respectively From the given data,  [(x-2) + (y-2)]/2 = 26 => x+y = 56 But given the age of A, 5 years hence is 40 yrs => present age of A = 40 - 5 = 35 yrs => x = 35 => y = 56 - 35 = 21 => Age of B = 21 yrs Given B is 5 years younger to C, => Age of C = 21 + 5 = 26 yrs => Required Difference between ages of A and C = 35 - 26 = 9 yrs.

Q: What does this symbol mean '&'? 2051 0

  • 1
    Caret
    Correct
    Wrong
  • 2
    Bar
    Correct
    Wrong
  • 3
    Ampersand
    Correct
    Wrong
  • 4
    Reversed Caret
    Correct
    Wrong
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Answer : 3. "Ampersand"
Explanation :

Answer: C) Ampersand Explanation: '&' is a Logical Symbol and is called as Ampersand.   ^ is called Caret - is called Bar v is called Reversed Caret.

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