Quantitative Aptitude Practice Question and Answer

Q: In what time will Rs. 1860 amount to Rs. 2641.20 at simple interest 12% per annum? 1915 0

  • 1
    2.9 years
    Correct
    Wrong
  • 2
    3.5 years
    Correct
    Wrong
  • 3
    4.2 years
    Correct
    Wrong
  • 4
    4.7 years
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "3.5 years"
Explanation :

Answer: B) 3.5 years Explanation: Given that Rs. 1860 will become Rs. 2641.20 at 12% => Simple Interest = 2641.20 - 1860 = Rs. 781.20 We know I = PTR/100 => 781.20 x 100 = 1860 x T x 12 => T = 78120/1860x12 => T = 78120/22320 => T = 3.5 years.

Q: The difference between the time taken by two trains to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr, what is the speed of faster train ? 1913 0

  • 1
    36 kmph
    Correct
    Wrong
  • 2
    30 kmph
    Correct
    Wrong
  • 3
    34 kmph
    Correct
    Wrong
  • 4
    40 kmph
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "30 kmph"
Explanation :

Answer: B) 30 kmph Explanation: Let the speed of the faster train be 'S' kmph   Then speed of the slower train will be '(S-5)' kmph   Time taken by faster train = 350/S hrs   Time taken by slower train = 350/(S-5) hrs  350s-5 - 350s = 2 hrs 20 min = 213 = 73   => S = 30 km/hr.

Q: Two bottles contains mixture of milk and water. First bottle contains 64% milk and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% milk? 1913 0

  • 1
    3 : 2
    Correct
    Wrong
  • 2
    2 : 1
    Correct
    Wrong
  • 3
    1 : 2
    Correct
    Wrong
  • 4
    2 : 3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "3 : 2"
Explanation :

Answer: A) 3 : 2 Explanation: % of milk in first bottle = 64% % of milk in second bottle = 100 - 26 = 74% Now, ATQ   64%            74%                   68%   6                    4   Hence, by using allegation method,   Required ratio = 3 : 2

Q: 80 litres of diesel is required to travel 800 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 1000 kms using 1200 cc engine ? 1911 0

  • 1
    120 lit
    Correct
    Wrong
  • 2
    140 lit
    Correct
    Wrong
  • 3
    110 lit
    Correct
    Wrong
  • 4
    150 lit
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "150 lit"
Explanation :

Answer: D) 150 lit Explanation: To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 80 litres. => the amount of diesel required to cover a distance of 1000 kms = 1000 x 80/800 = 100 litres However, the vehicle uses a 1200 cc engine and it is given that the amount of diesel required varies directly as the engine capacity. i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too. Therefore, with a 1200 cc engine, quantity of diesel required = 1200/800 x 100 = 150 litres.

Q: If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ? 1910 0

  • 1
    31/25
    Correct
    Wrong
  • 2
    15/17
    Correct
    Wrong
  • 3
    14/25
    Correct
    Wrong
  • 4
    11/16
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "15/17"
Explanation :

Answer: B) 15/17 Explanation: The original fraction is  2551 × 350+100150+100  = 15/17.

Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 1906 1

  • 1
    42.2 mts
    Correct
    Wrong
  • 2
    33.45 mts
    Correct
    Wrong
  • 3
    66.6 mts
    Correct
    Wrong
  • 4
    58.78 mts
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "66.6 mts"
Explanation :

Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.

  • Show AnswerHide Answer
  • Workspace

Answer : 1. "99"
Explanation :

Answer: A) 99 Explanation: Let, Distance between A and B = d   Distance travelled by P while it meets Q = d + 11   Distance travelled by Q while it meets P = d – 11   Distance travelled by Q while it meets R = d + 9   Distance travelled by R while it meets Q = d – 9   Here the ratio of speeds of P & Q => SP : SQ = d + 11 : d – 11   The ratio of speeds of Q & R => SQ : SR = d + 9 : d – 9   But given Ratio of speeds of P & R => P : R = 3 : 2  SPSR = SPSQxSQSR = d+11d+9d-11d-9   => d+11d+9d-11d-9 = 3/2   =>  d = 1, 99   => d = 99 satisfies.   Therefore, Distance between A and B = 99

Q: A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph. 1904 0

  • 1
    4314
    Correct
    Wrong
  • 2
    4213
    Correct
    Wrong
  • 3
    2413
    Correct
    Wrong
  • 4
    3414
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "4213"
Explanation :

Answer: B) Option B Explanation: Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmphtime taken indivisually: => 6/1.5 = 4 m=> 8/2 = 4 m=> 40/8 = 5 m   Average speed of man= total distance/ total time=> 54/13 = 4213 kmph

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully