Quantitative Aptitude Practice Question and Answer

Q: Sony is one-fifth the age of her mother 15 years ago and Sony’s brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brother’s ages is 31 then how old is Sony's mother ? 2424 0

  • 1
    40
    Correct
    Wrong
  • 2
    50
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    70
    Correct
    Wrong
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Answer : 2. "50"
Explanation :

Answer: B) 50 Explanation: Sony and her brother's age sum is 31Let Sony's mother's age be 'x'.Now the conditions given for both of their ages related to their mom is1/5(x-15) + 3/5(x-10) = 31x-15 + 3x-30 = 1554x-45 = 1554x = 200x = 50So, Mother's age = 50. Cross verification : 15 years ago age = 35 => Sony age = 710 years ago age = 40 => bro age = 24 Sum = 24 + 7 = 31.

Q: At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ? 2423 0

  • 1
    5%
    Correct
    Wrong
  • 2
    6%
    Correct
    Wrong
  • 3
    4%
    Correct
    Wrong
  • 4
    3%
    Correct
    Wrong
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Answer : 1. "5%"
Explanation :

Answer: A) 5% Explanation: Given compound interest for 3 years = Rs. 1513.2   and simple interest for 5 years = Rs. 2400   Now, we know that  C.I = P1+R100n - 1   => 1513.2 = P1+R1003 - 1 ...........(A)   And S.I = PTR/100   => 2400 = P5R/100 ..................(B)   By solving (A) & (B), we get   R = 5%.

Q: There are 44 students in a hostel, due to the administration,  15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? 2420 0

  • 1
    Rs. 404
    Correct
    Wrong
  • 2
    Rs. 514
    Correct
    Wrong
  • 3
    Rs. 340
    Correct
    Wrong
  • 4
    Rs. 616
    Correct
    Wrong
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Answer : 4. "Rs. 616"
Explanation :

Answer: D) Rs. 616 Explanation: Let the average expenditure per head be Rs. pNow, the expenditure of the mess for old students is Rs. 44pAfter joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33Therefore, 59(p-3) = 44p + 3359p - 177 = 44p + 3315p = 210 => p = 14Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.

Q: An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ? 2419 0

  • 1
    55 kms
    Correct
    Wrong
  • 2
    35 kms
    Correct
    Wrong
  • 3
    25 kms
    Correct
    Wrong
  • 4
    65 kms
    Correct
    Wrong
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Answer : 1. "55 kms"
Explanation :

Answer: A) 55 kms Explanation: Let x and y be the respective km's travelled by man via taxi and by his own car.Given x + y = 90 => x = 90 - yBut according to the question,7x + 6y = 5957(90-y) + 6y = 595=> 630 - 7y + 6y = 595=> y = 630 - 595 = 35=> x = 90 - 35 = 55Therefore, the distance travelled by taxi is 55 kms.

Q: Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ? 2415 0

  • 1
    Rs. 7500
    Correct
    Wrong
  • 2
    Rs. 4520
    Correct
    Wrong
  • 3
    Rs. 8750
    Correct
    Wrong
  • 4
    Rs. 6350
    Correct
    Wrong
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Answer : 1. "Rs. 7500"
Explanation :

Answer: A) Rs. 7500 Explanation: Arun : Varun : Akhil = (20000 x 24) : (15000 x 24) : (20000 x 18) = 4:3:3 B's share = 25000 x 3/10 = Rs. 7500.

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Answer : 2. "5"
Explanation :

Answer: B) 5 Explanation: Let M, N and O worked together for x days. From the given data,M alone worked for 8 daysM,N,O worked for x daysN, O worked for 1 day But given thatM alone can complete the work in 18 daysN alone can complete the work in 36 daysO alone can complete the work in 54 days The total work can be the LCM of 18, 6, 54 = 108 units M's 1 day work = 108/18 = 6 unitsN's 1 day work = 108/36 = 3 unitsO's 1 day work = 108/54 = 2 units Now, the equation is8 x 6 + 11x + 5 x 1 = 10848 + 11x + 5 = 10811x = 103 - 4811x = 55x = 5 days. Hence, all M,N and O together worked for 5 days.

Q: Ashwin fires two bullets from the same place at an interval of 15 minutes but Rahul sitting in a bus approaching the place hears the second sound 14 minutes 30 seconds after the first. If sound travels at the speed of 330 meter per second, what is the approximate speed of bus? 2403 0

  • 1
    330/29 m/s
    Correct
    Wrong
  • 2
    330 x 30 m/s
    Correct
    Wrong
  • 3
    330/14 m/s
    Correct
    Wrong
  • 4
    330/900 m/s
    Correct
    Wrong
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Answer : 1. "330/29 m/s"
Explanation :

Answer: A) 330/29 m/s Explanation: Second gun shot take 30 sec to reach rahul imples distance between two. given speed of sound = 330 m/s Now, distance = 330 m/s x 30 sec    Hence, speed of the bus = d/t = 330x30/(14x60 + 30) = 330/29 m/s.

Q: Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9? 2392 0

  • 1
    2
    Correct
    Wrong
  • 2
    1.5
    Correct
    Wrong
  • 3
    1.25
    Correct
    Wrong
  • 4
    2.5
    Correct
    Wrong
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Answer : 2. "1.5"
Explanation :

Answer: B) 1.5 Explanation: Given Five boxes of bananas sell for Rs. 30. => 1 Box of Bananas for = 30/5 = Rs. 6   Then, for Rs. 9 => 9/6 = 3/2 = 1.5   Hence, for Rs. 9, 1.5 box of bananas can buy.

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