Aptitude Questions Practice Question and Answer

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Answer : 2. "25"

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 ? 1873 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: एक रेलगाड़ी की लम्बाई 300 मीटर हैं। वह 72 किमी प्रति घंटे की रफ्तार से एक खम्भे को कितनी देर में पार कर जाएगी? 1822 0

  • 1
    18 सैंकण्ड
    Correct
    Wrong
  • 2
    15 सैंकण्ड
    Correct
    Wrong
  • 3
    12 सैंकण्ड
    Correct
    Wrong
  • 4
    20 सैंकण्ड
    Correct
    Wrong
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Answer : 2. "15 सैंकण्ड"

Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 1808 1

  • 1
    42.2 mts
    Correct
    Wrong
  • 2
    33.45 mts
    Correct
    Wrong
  • 3
    66.6 mts
    Correct
    Wrong
  • 4
    58.78 mts
    Correct
    Wrong
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Answer : 3. "66.6 mts"
Explanation :

Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.

Q: 250 मीटर लम्बी एक ट्रेन एक खम्भे को 15 सैंकण्ड में पार करती है। ट्रेन की गति किमी/घंटा में क्या है? 1778 0

  • 1
    90
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    70
    Correct
    Wrong
  • 4
    इनमें से कोई नहीं
    Correct
    Wrong
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Answer : 4. "इनमें से कोई नहीं"

Q: Find value of log27 +log 8 +log1000log 120 1721 1

  • 1
    1/2
    Correct
    Wrong
  • 2
    3/2
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    2/3
    Correct
    Wrong
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Answer : 2. "3/2"
Explanation :

Answer: B) 3/2 Explanation:  = log 33 + log 23+ log 103log10×3×22        =log33 12+log 23+log 10312log(10×3×22)                 =12log 33+3 log 2+12 log103log10+log3+log22                 =32log 3 + 2 log 2 + log 10log 3 + 2 log 2 + log 10 = 32

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Answer : 2. "$$6{2\over3}\%$$"

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Answer : 2. "16:25"

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