GATE Practice Question and Answer

Q: FRIEND : FPIBNZ :: PATRON : ? 2304 0

  • 1
    PTYOPI
    Correct
    Wrong
  • 2
    PYTOPJ
    Correct
    Wrong
  • 3
    PYTOOJ
    Correct
    Wrong
  • 4
    PYTPOJ
    Correct
    Wrong
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Answer : 3. "PYTOOJ"
Explanation :

Answer: C) PYTOOJ Explanation: FRIEND : FPIBNZ Follows a pattern that, F - F R- second letter to left of R i.e, P I - I E - Third letter to left of E i.e, B N - N D - Fourth letter to left of D i.e, Z Similarly, for PATRON  P - P A -  second letter to left of A i.e, Y T - T R - Third letter to left of R i.e, O O - O N - Fourth letter to left of N i.e, J PATRON : PYTOOJ   Therefore, FRIEND : FPIBNZ :: PATRON : PYTOOJ

Q: A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ? 2303 0

  • 1
    Rs. 316
    Correct
    Wrong
  • 2
    Rs. 251
    Correct
    Wrong
  • 3
    Rs. 154
    Correct
    Wrong
  • 4
    Rs. 294
    Correct
    Wrong
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Answer : 1. "Rs. 316"
Explanation :

Answer: A) Rs. 316 Explanation: S.I. for 2 years = (514 - 415) = Rs. 99S.I. for 1 year = 99/2 Principal = (415 - 99) = Rs. 316.

Q: The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero ? 2300 1

  • 1
    14th element
    Correct
    Wrong
  • 2
    9th element
    Correct
    Wrong
  • 3
    12th element
    Correct
    Wrong
  • 4
    7th element
    Correct
    Wrong
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Answer : 3. "12th element"
Explanation :

Answer: C) 12th element Explanation: If we consider the third term to be ‘x”The 15th term will be (x + 12d)6th term will be (x + 3d)11th term will be (x + 8d) and 13th term will be (x + 10d).Thus, as per the given condition, 2x + 12d = 3x + 21d.Or x + 9d = 0.x + 9d will be the 12th term. Thus, 12th term of the A.P will be zero.

Q: If log72 = m, then log4928 is equal to ? 2297 0

  • 1
    1/(1+2m)
    Correct
    Wrong
  • 2
    (1+2m)/2
    Correct
    Wrong
  • 3
    2m/(2m+1)
    Correct
    Wrong
  • 4
    (2m+1)/2m
    Correct
    Wrong
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Answer : 2. "(1+2m)/2"
Explanation :

Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4   = 12+122log72= 12+log72= 12 + m= 1+2m2.

Q: 40% of 265 + 35% of 180 = 50% of ? 2297 0

  • 1
    383
    Correct
    Wrong
  • 2
    338
    Correct
    Wrong
  • 3
    84.5
    Correct
    Wrong
  • 4
    253.5
    Correct
    Wrong
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Answer : 2. "338"
Explanation :

Answer: B) 338 Explanation: We know that 40% = 25   40% of 265 + 35% of 180 = 50% ?   25 x 265 + 35% of 180 = 50% ?   We know that (35% of 180 = 180% of 35) & 180% = 95   25 x 265 + 95 x 35 = 50% ?   106 + 63 = 50% ?   ?= 2 x 169 = 338.

Q: The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is? 2293 0

  • 1
    2759 cub. cm
    Correct
    Wrong
  • 2
    2247 cub. cm
    Correct
    Wrong
  • 3
    2614 cub. cm
    Correct
    Wrong
  • 4
    2311 cub. cm
    Correct
    Wrong
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Answer : 4. "2311 cub. cm"
Explanation :

Answer: D) 2311 cub. cm Explanation: Given Circumference of a circular base of a cylinder = 44 cm We know that Circumference of a circle = 2πr = 44⇒r = 22π Now given the height of a cylinder h = 15 cm Volume of a cylinder V = πr2h = π22π215 = 22 x 22 x 153.14 = 2311 cm3.

Q: That which cannot be corrected 2293 0

  • 1
    Incorrigible
    Correct
    Wrong
  • 2
    Illegible
    Correct
    Wrong
  • 3
    Illegal
    Correct
    Wrong
  • 4
    Indelible
    Correct
    Wrong
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Answer : 1. "Incorrigible"
Explanation :

Answer: A) Incorrigible Explanation: The One-word substitute for That which cannot be corrected is Incorrigible.

Q: On 24th Nov, 2007 Thursday falls. What day of the week was it on 10th Nov, 2006 ? 2291 0

  • 1
    Wednesday
    Correct
    Wrong
  • 2
    Tuesday
    Correct
    Wrong
  • 3
    Friday
    Correct
    Wrong
  • 4
    Thursday
    Correct
    Wrong
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Answer : 1. "Wednesday"
Explanation :

Answer: A) Wednesday Explanation: The year 2006 is an ordinary year. So, it has 1 odd day.So, the day on 24th Nov, 2007 will be 1 day beyond the day on 24th Nov, 2006.But, 24th Nov, 2007 is Thursday. 24 - 10 = 14 days. Therefore, 2 weeks ago it is same day. Thus, 10th Nov, 2006 is one day before 10th Nov, 2007 i.e. it is Wednesday.

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