Quantitative Aptitude Practice Question and Answer

Q: Three taps P, Q and R can fill a tank in 12 hrs, 15 hrs and 20 hrs respectively. If P is open all the time and Q and R are open for one hour each alternately, starting with Q, then the tank will be full in how many hours ? 3221 0

  • 1
    9 hrs
    Correct
    Wrong
  • 2
    7 hrs
    Correct
    Wrong
  • 3
    13 hrs
    Correct
    Wrong
  • 4
    11 hrs
    Correct
    Wrong
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Answer : 2. "7 hrs"
Explanation :

Answer: B) 7 hrs Explanation: Given, P can fill in 12 hrs Q can fill in 15 hrs R can fill in 20 hrs => Volume of tank = LCM of 12, 15, 20 = 60 lit => P alone can fill the tank in 60/12 = 5 hrs => Q alone can fill the tank in 60/15 = 4 hrs => R alone can fill the tank in 60/20 = 3 hrs Tank can be filled in the way that (P+Q) + (P+R) + (P+Q) + (P+R) + .... => Tank filled in 2 hrs = (5+4) + (5+3) = 9 + 8 = 17 lit => In 6 hrs = 17 x 6/2 = 51 lit => In 7th hr = 51 + (5+4) = 51 + 9 = 60 lit => So, total tank will be filled in 7 hrs.

Q: In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food? 3216 0

  • 1
    10 days
    Correct
    Wrong
  • 2
    15 days
    Correct
    Wrong
  • 3
    20 days
    Correct
    Wrong
  • 4
    5 days
    Correct
    Wrong
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Answer : 1. "10 days"
Explanation :

Answer: A) 10 days Explanation: After 10 days, the remaining food would be sufficient for the 1000 students for 20 more days -->If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved).

Q: A bus is running at 80 kmph without any stoppage. But, with stoppages its average speed is 60 km/hour. Find the time of stoppage by bus per hour. 3196 1

  • 1
    12 minutes
    Correct
    Wrong
  • 2
    20 minutes
    Correct
    Wrong
  • 3
    30 minutes
    Correct
    Wrong
  • 4
    15 minutes
    Correct
    Wrong
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Answer : 4. "15 minutes"

Q: At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ? 3194 0

  • 1
    60
    Correct
    Wrong
  • 2
    74
    Correct
    Wrong
  • 3
    82
    Correct
    Wrong
  • 4
    58
    Correct
    Wrong
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Answer : 1. "60"
Explanation :

Answer: A) 60 Explanation: Let, no. of rice bowl = xno. of dal bowl = yno. of meat bowl = z Then, x + y + z = 65 ....(1) Also given that, 2x = 3y = 4z substituting value of y & z in terms of x i.e. y = 2x/3 and z = x/2 in eq (1),We get x = 30. As 1 rice bowl is shared between 2 guests, Therefore, there are 60 guests.

Q: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ? 3192 0

  • 1
    Rs. 820
    Correct
    Wrong
  • 2
    Rs. 830
    Correct
    Wrong
  • 3
    Rs. 840
    Correct
    Wrong
  • 4
    Rs. 850
    Correct
    Wrong
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Answer : 2. "Rs. 830"
Explanation :

Answer: B) Rs. 830 Explanation: Let the total amount in the partnership be 'x'.Then A's share = x/3B's share = x/4C's share = x/5D's share = x - (x/3 + x/4 +x/5) = 13x/60 A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13 A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.

Q: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 3183 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: In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ? 3179 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: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours  ? 3178 0

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

Answer: B) 3/4 hrs Explanation: Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time   so 1/3rd of the usual time = 15minor usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.

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