Quantitative Aptitude Practice Question and Answer

Q: The average age of seven persons sitting in a row facing east is 26 years. If the average age of the first three persons is 19 years and the average age of the last three persons is 32 years, then find the age of the person sitting in the middle of the row ? 2741 0

  • 1
    32 yrs
    Correct
    Wrong
  • 2
    29 yrs
    Correct
    Wrong
  • 3
    24 yrs
    Correct
    Wrong
  • 4
    27 yrs
    Correct
    Wrong
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Answer : 2. "29 yrs"
Explanation :

Answer: B) 29 yrs Explanation: Total age seven persons = (26 x 7)yearsTotal age of the first three persons and the last three persons are (19 x 3) years and (32 x 3) years respectively.Age of the person sitting in the middle of the row = 26 x 7 - 19 x 3 - 32 x 3 = 182 - 57 - 96 = 29 years.

Q: A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group ? 2739 0

  • 1
    600
    Correct
    Wrong
  • 2
    610
    Correct
    Wrong
  • 3
    609
    Correct
    Wrong
  • 4
    599
    Correct
    Wrong
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Answer : 1. "600"
Explanation :

Answer: A) 600 Explanation: Two men, three women and one child can be selected in ⁴C₂ x ⁶C₃ x ⁵C₁ ways = 600 ways.

Q: If 4th december 1999 is Monday then what day is 3rd january 2000 ? 2738 0

  • 1
    Sunday
    Correct
    Wrong
  • 2
    Monday
    Correct
    Wrong
  • 3
    Tuesday
    Correct
    Wrong
  • 4
    Wednesday
    Correct
    Wrong
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Answer : 4. "Wednesday"
Explanation :

Answer: D) Wednesday Explanation: Here from 4th December 1999 to 3rd January 2000,there is a difference of 30 days.Number of odd days = 30/7 = 2 odd days Then no. of odd days = 2 => tuesday and wednesday(from monday). Hence on 3rd january it is wednesday.

Q: In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ? 2711 0

  • 1
    Quarter months
    Correct
    Wrong
  • 2
    Half year
    Correct
    Wrong
  • 3
    2 years
    Correct
    Wrong
  • 4
    1 year
    Correct
    Wrong
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Answer : 2. "Half year"
Explanation :

Answer: B) Half year Explanation: 3300 ----- 3% ↑ (1st time interval, 99) → 3399. Here, time interval is given as half-yearly i.e. 6 months.

Q: Two trains of 440 metre and 260 metre lengths are running in the same direction and crosses each other in 35 sec. If the speed of slower train is 63 km/hr., then what is the speed of the faster train? 2708 0

  • 1
    135 km/hour
    Correct
    Wrong
  • 2
    125 km/hour
    Correct
    Wrong
  • 3
    138 km/hour
    Correct
    Wrong
  • 4
    250 km/hour
    Correct
    Wrong
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Answer : 1. "135 km/hour"

Q: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2705 1

  • 1
    1
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 2. "2"
Explanation :

Answer: B) 2 Explanation: Given a2 + b2 = c2   Now  1logc+ab  + 1logc-ab    = logbc+a + logbc-a   = logbc2-a2 = 2logbb = 2

Q: Simplify the following : 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ? 2704 0

  • 1
    100
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "100"
Explanation :

Answer: A) 100 Explanation: Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28   It is in the form of  a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c   Here a = 37, b = 35 & c = 28    => a + b + c = 37 + 35 + 28 = 100       Therefore,   = 100

Q: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ? 2702 0

  • 1
    360 m
    Correct
    Wrong
  • 2
    420 m
    Correct
    Wrong
  • 3
    460 m
    Correct
    Wrong
  • 4
    320 m
    Correct
    Wrong
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Answer : 2. "420 m"
Explanation :

Answer: B) 420 m Explanation: Let the length of the stationary train Y be LY Given that length of train X, LX = 300 m Let the speed of Train X be V. Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively. => 300/V = 25 ---> ( 1 ) (300 + LY) / V = 60 ---> ( 2 ) From (1) V = 300/25 = 12 m/sec. From (2) (300 + LY)/12 = 60 => 300 + LY = 60 (12) = 720 => LY = 720 - 300 = 420 m Length of the stationary train = 420 m

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