Quantitative Aptitude Practice Question and Answer

Q: Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ? 1549 0

  • 1
    8/15
    Correct
    Wrong
  • 2
    7/15
    Correct
    Wrong
  • 3
    1/15
    Correct
    Wrong
  • 4
    4/15
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "7/15"
Explanation :

Answer: B) 7/15 Explanation: Given total students in the class = 60Students who are taking Economics = 24 andStudents who are taking Calculus = 32Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4Students who are taking calculus only = 32 - 4 = 28probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

Q: A letter is takenout at random from 'ASSISTANT'  and another is taken out from 'STATISTICS'. The probability that they are the same letter is : 1548 0

  • 1
    35/96
    Correct
    Wrong
  • 2
    19/90
    Correct
    Wrong
  • 3
    19/96
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "19/90"
Explanation :

Answer: B) 19/90 Explanation: ASSISTANT→AAINSSSTT STATISTICS→ACIISSSTTT Here N and C are not common and same letters can be A, I, S, T. Therefore  Probability of choosing A =  2C19C1×1C110C1 = 1/45   Probability of choosing I = 19C1×2C110C1 = 1/45 Probability of choosing S = 3C19C1×3C110C1 = 1/10 Probability of choosing T = 2C19C1×3C110C1 = 1/15 Hence, Required probability =   145+145+110+115= 1990

Q: The least number of four digits which is divisible by 4, 6, 8 and 10 is ? 1548 0

  • 1
    1107
    Correct
    Wrong
  • 2
    1080
    Correct
    Wrong
  • 3
    1100
    Correct
    Wrong
  • 4
    1208
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "1080"
Explanation :

Answer: B) 1080 Explanation: LCM of 4, 6, 8 and 10 = 120120) 1000 (8 960 ------ 40 The least number of four digits which is divisible by 4, 6, 8 and 10 => 1000 + 120 - 40 = 1080.

Q: A rectangular grassy plot 120 m. by 60 m has a gravel path 1.5 m wide all round it on the inside. Find the cost of gravelling the path at 65 paise per sq. metre ? 1545 0

  • 1
    Rs. 345.15
    Correct
    Wrong
  • 2
    Rs. 245.1
    Correct
    Wrong
  • 3
    Rs. 234.18
    Correct
    Wrong
  • 4
    Rs. 456.65
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Rs. 345.15"
Explanation :

Answer: A) Rs. 345.15 Explanation: area of the plot = 120m x 60m = 7200 sq.marea of plot excluding gravel = 117m x 57m = 6669 sq.marea of gravel = 7200 sq.m - 6669 sq.m = 531 sq.mcost of building it = 531 sq.m x 65 ps = 34515 psIn Rs. = 34515/100 = Rs. 345.15.

Q: The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ? 1542 0

  • 1
    84 km/hr
    Correct
    Wrong
  • 2
    96 km/hr
    Correct
    Wrong
  • 3
    72 km/hr
    Correct
    Wrong
  • 4
    60 km/hr
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "84 km/hr"
Explanation :

Answer: A) 84 km/hr Explanation: Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.Also, 6x = 72 => x = 12 km/hrTherefore, the average speed of the car and train together is = 5x+9x2= 7x = 7 x 12 = 84 km/hr.

Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of  a - n + k ? 1542 0

  • 1
    4
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "5"
Explanation :

Answer: C) 5 Explanation: (3x + 2) (2x - 5) = ax2+kx+n ...............(1)   But (3x + 2)(2x - 5) = 6x2-11x-10........(2)   so by comparing (1) & (2),   we get a= 6, k= -11 , n= -10   (a - n + k) = 6 + 10 - 11 = 5.

Q: K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ? 1541 0

  • 1
    30 days
    Correct
    Wrong
  • 2
    40 days
    Correct
    Wrong
  • 3
    120 days
    Correct
    Wrong
  • 4
    80 days
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "30 days"
Explanation :

Answer: A) 30 days Explanation: Given K=4L  -->K+L = 4L+L = 5L   These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days.   Hence, K alone can do the work in 120/4= 30 days.

Q: How many numbers up to 101 and 300 are divisible by 11  ? 1536 0

  • 1
    18
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    19
    Correct
    Wrong
  • 4
    17
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "18"
Explanation :

Answer: A) 18 Explanation: (300 – 101)/11 = 199/11 = 18 1/1118 Numbers.

      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