Quantitative Aptitude Practice Question and Answer

Q: What value will come in place of question mark (?) in following number series? 12, 16, 32, 68, ? 1501 0

  • 1
    198
    Correct
    Wrong
  • 2
    164
    Correct
    Wrong
  • 3
    132
    Correct
    Wrong
  • 4
    118
    Correct
    Wrong
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Answer : 3. "132"
Explanation :

Answer: C) 132 Explanation: Given series is    12        16         32          68         ?   Here it follows a pattern that,   12   12 + (2x2) = 16   16 + (4x4) = 32   32 + (6x6) = 68   68 + (8x8) = 132

Q: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? 1498 0

  • 1
    27 7/9 mts
    Correct
    Wrong
  • 2
    25 8/7 mts
    Correct
    Wrong
  • 3
    21 1/4 mts
    Correct
    Wrong
  • 4
    22 mts
    Correct
    Wrong
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Answer : 1. "27 7/9 mts"
Explanation :

Answer: A) 27 7/9 mts Explanation: Relative speed = (40 - 20) km/hr = 20 x 5 m/sec = 50 m/sec. 18 9  Length of faster train = 50 x 5 m = 250 m = 27 7 m. 9 9 9

Q: A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ? 1496 0

  • 1
    3
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: The mother completes the job in x hours.So, the daughter will take 2x hours to complete the same job.   In an hour, the mother will complete 1/x of the total job.In an hour, the daughter will complete 1/2x of the total job.   So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.i.e., in an hour they will complete 3/2x of the job.   The question states that they complete the entire task in 6 hours if they work together.i.e., they complete 1/6 th of the task in an hour.   Equating the two information, we get 3/2x = 1/6By solving for x, we get 2x = 18 or x = 9.   The mother takes 9 hours to complete the job.

Q: A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ? 1494 0

  • 1
    250 mts
    Correct
    Wrong
  • 2
    400 mts
    Correct
    Wrong
  • 3
    320 mts
    Correct
    Wrong
  • 4
    390 mts
    Correct
    Wrong
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Answer : 2. "400 mts"
Explanation :

Answer: B) 400 mts Explanation: Let the length of the 1st train = L mts Speed of 1st train = 48 kmph Now the length of the 2nd train = L/2 mts Speed of 2nd train = 42 kmph Let the length of the bridge = D mts Distance = L + L/2 = 3L/2 Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite) Time = 12 sec => 3L/2x25 = 12 => L = 200 mts Now it covers the bridge in 45 sec => distance = D + 200 Time = 45 sec Speed = 48 x5/18 = 40/3 m/s => D + 200/(40/3) = 45 => D = 600 - 200 = 400 mts Hence, the length of the bridge = 400 mts.

Q: Manju borrows Rs.5000 for 2 years at 4% p.a. simple interest from Sudha. She immediately lends it to another person at 6 1⁄4% p.a for 2 years. Find her gain in the transaction per year. 1491 0

  • 1
    Rs. 101
    Correct
    Wrong
  • 2
    Rs. 98.5
    Correct
    Wrong
  • 3
    Rs. 124.3
    Correct
    Wrong
  • 4
    Rs. 112.5
    Correct
    Wrong
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Answer : 4. "Rs. 112.5"
Explanation :

Answer: D) Rs. 112.5 Explanation: Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest  She also lends it at 6 1⁄4% p.a for 2 years  => Total Gain = 6 1/4% − 4% = 2 1/4% So her gain in the transaction for 1 year = The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum = PTR100=5000×94×1100 = Rs. 112.5/ year.

Q: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ? 1488 0

  • 1
    4 hrs 15 min
    Correct
    Wrong
  • 2
    3 hrs 24 min
    Correct
    Wrong
  • 3
    4 hrs 51 min
    Correct
    Wrong
  • 4
    3 hrs 45 min
    Correct
    Wrong
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Answer : 4. "3 hrs 45 min"
Explanation :

Answer: D) 3 hrs 45 min Explanation: Time taken by one tap to fill half of the tank = 3 hrs. Part filled by the taps in 1 hour = 4 x 1/6 = 2/3 Remaining part = 1 - 1/2 = 1/2 2/3 : 1/2 :: 1 : p p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min So, total time taken = 3 hrs 45 min.

Q: There are 3 sections with 5 questions each. If four questions are selected from each section, the chance of getting different questions is ? 1484 0

  • 1
    1000
    Correct
    Wrong
  • 2
    625
    Correct
    Wrong
  • 3
    525
    Correct
    Wrong
  • 4
    125
    Correct
    Wrong
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Answer : 4. "125"
Explanation :

Answer: D) 125 Explanation: Methods for selecting 4 questions out of 5 in the first section = 5 x 4 x 3 x 2 x 1/4 x 3 x 2 x 1 = 5. Similarly for other 2 sections also i.e 5 and 5 So total methods = 5 x 5 x 5 = 125.

Q: A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ? 1483 0

  • 1
    13.33 %
    Correct
    Wrong
  • 2
    14.25 %
    Correct
    Wrong
  • 3
    16.98 %
    Correct
    Wrong
  • 4
    18.75 %
    Correct
    Wrong
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Answer : 4. "18.75 %"
Explanation :

Answer: D) 18.75 % Explanation: Given,S.I = 3 Principal Amount=> 3A = A x 16 x R/100By solving, we get => R = 18.75%

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