Quantitative Aptitude Practice Question and Answer

Q: K can finish the work in 18 days and L can do the same work in 15 days. L worked for 10 days and left the job. In how many days, K alone can finish the remaining work ? 2140 0

  • 1
    5.5 days
    Correct
    Wrong
  • 2
    6 days
    Correct
    Wrong
  • 3
    4.2 days
    Correct
    Wrong
  • 4
    5 days
    Correct
    Wrong
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Answer : 2. "6 days"
Explanation :

Answer: B) 6 days Explanation: L's 10 days work = 115×10=23   Remaining work = 1-23=13   Now,  work is done by K in one day = 1/18   1/3 work is done by K in  18×13 = 6 days

Q: Two stations A and B are 200 km apart on a straight track. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? 2140 0

  • 1
    12 a.m.
    Correct
    Wrong
  • 2
    1 p.m.
    Correct
    Wrong
  • 3
    11 a.m.
    Correct
    Wrong
  • 4
    12 p.m.
    Correct
    Wrong
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Answer : 4. "12 p.m."
Explanation :

Answer: D) 12 p.m. Explanation: Assume both trains meet after 'p' hours after 7 a.m.Distance covered by train starting from A in 'p' hours = 20p kmDistance covered by train starting from B in (p-1) hours = 25(p-1)Total distance = 200=> 20x + 25(x-1) = 200=> 45x = 225=> p= 5Means, they meet after 5 hours after 7 am, ie, they meet at 12 p.m.

Q: A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady? 2138 0

  • 1
    123
    Correct
    Wrong
  • 2
    113
    Correct
    Wrong
  • 3
    246
    Correct
    Wrong
  • 4
    945
    Correct
    Wrong
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Answer : 3. "246"
Explanation :

Answer: C) 246 Explanation: A Committee of 5 persons is to be formed from 6 gentlemen and 4 ladies by taking.    (i) 1 lady out of 4 and 4 gentlemen out of 6  (ii) 2 ladies out of 4 and 3 gentlemen out of 6  (iii) 3 ladies out of 4 and 2 gentlemen out of 6  (iv) 4 ladies out of 4 and 1 gentlemen out of 6    In case I the number of ways = C14×C46 = 4 x 15 = 60  In case II the number of ways = C24×C36 = 6 x 20 = 120  In case III the number of ways = C34×C26 = 4 x 15 = 60 In case IV the number of ways = C44×C16 = 1 x 6 = 6    Hence, the required number of ways = 60 + 120 + 60 + 6 = 246

Q: In the following number series only one number is wrong. Find out the wrong number ? 6, 15, 35, 63, 143, 221, 323 2138 0

  • 1
    143
    Correct
    Wrong
  • 2
    63
    Correct
    Wrong
  • 3
    323
    Correct
    Wrong
  • 4
    35
    Correct
    Wrong
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Answer : 2. "63"
Explanation :

Answer: B) 63 Explanation: Here the series follows the pattern that, product of succesive prime numbers i.e,  2 × 3 = 6  3 × 5 = 15  5 × 7 = 35  7 × 11 = 77  11 × 13 = 143  13 × 17 = 221  17 × 19 = 323 So here in place of 77 the number 63 is written. So the wrong number is 63.

Q: The calendar for the year 2007 will be the same for the year ? 2136 0

  • 1
    2014
    Correct
    Wrong
  • 2
    2019
    Correct
    Wrong
  • 3
    2021
    Correct
    Wrong
  • 4
    2018
    Correct
    Wrong
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Answer : 4. "2018"
Explanation :

Answer: D) 2018 Explanation: Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day. Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017Odd day : 1 2 1 1 1 2 1 1 1 2 1 Sum = 14 odd days => 0 odd days.Calendar for the year 2018 will be the same as for the year 2007.

Q: A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ? 2136 0

  • 1
    55 kmph
    Correct
    Wrong
  • 2
    58 kmph
    Correct
    Wrong
  • 3
    60 kmph
    Correct
    Wrong
  • 4
    66 kmph
    Correct
    Wrong
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Answer : 3. "60 kmph"
Explanation :

Answer: C) 60 kmph Explanation: Speed on return trip = 150% of 50 = 75 km/hr. Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.

Q: How many days in 4 years? 2135 0

  • 1
    1460
    Correct
    Wrong
  • 2
    1461
    Correct
    Wrong
  • 3
    1462
    Correct
    Wrong
  • 4
    1459
    Correct
    Wrong
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Answer : 1. "1460"
Explanation :

Answer: A) 1460 Explanation: Days in 4 years =>  Let the first year is Normal year i.e, its not Leap year. A Leap Years occurs once for every 4 years. 4 years => 365 + 365 + 365 + 366(Leap year) 4 years => 730 + 731 = 1461   Therefore, Number of Days in 4 Years = 1461 Days.

Q: Find the next number in the given number series? 0, 3, 8, 15, 24, ? 2133 0

  • 1
    35
    Correct
    Wrong
  • 2
    37
    Correct
    Wrong
  • 3
    34
    Correct
    Wrong
  • 4
    36
    Correct
    Wrong
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Answer : 1. "35"
Explanation :

Answer: A) 35 Explanation: Here the given number series is 0, 3, 8, 15, 24, ? The next number in the given series can be found such a way that the number series follows a pattern, 22 - 4 = 032 - 6 = 342  - 8 = 852 - 10 = 1562 - 12 = 2472 - 14 = 35Hence, the next number in the iven series is 35.

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