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 ? 1702 0

  • 1
    8/15
    Correct
    Wrong
  • 2
    7/15
    Correct
    Wrong
  • 3
    1/15
    Correct
    Wrong
  • 4
    4/15
    Correct
    Wrong
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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: Twelve percent of Kalyan's monthly salary is equal to the sixteen per cent of Nandu's monthly salary. Sarnesh's monthly salary is half that of Nandu's monthly salary. If sarnesh's annual salary is Rs. 1.08 lacs, What is Kalyan's monthly salary ? 1700 0

  • 1
    15,000
    Correct
    Wrong
  • 2
    36,000
    Correct
    Wrong
  • 3
    24,000
    Correct
    Wrong
  • 4
    12,500
    Correct
    Wrong
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Answer : 3. "24,000"
Explanation :

Answer: C) 24,000 Explanation: Let K = Kalyan's monthly salaryN = Nandu's monthly salaryS = Sarnesh's monthly salary.Then from given data, 12% of K = 16% of NS = N/2 => N = 2SK = 16/12 x N = 16/12 x 2S= 16/6 x 1.08/12 = 16/6 x 0.09 = 0.24 lacs = 24,000

Q: Find the greatest number that will divide 964, 1238 and 1400 leaving remainder of 41,31 and 51 respectively ? 1698 0

  • 1
    64
    Correct
    Wrong
  • 2
    69
    Correct
    Wrong
  • 3
    71
    Correct
    Wrong
  • 4
    58
    Correct
    Wrong
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Answer : 3. "71"
Explanation :

Answer: C) 71 Explanation: To find the greatest number which divides the numbers 964, 1238 and 1400 leaving the remainders 41, 31 and 51 is nothing but the HCF of (964 - 41), (1238 - 31), (1400 - 51). Therefore, HCF of 923, 1207 and 1349 is 71.

Q: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is  ? 1696 0

  • 1
    2(6!)
    Correct
    Wrong
  • 2
    6! x 7
    Correct
    Wrong
  • 3
    6! x ⁷P₆
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "6! x ⁷P₆"
Explanation :

Answer: C) 6! x ⁷P₆ Explanation: We can initially arrange the six boys in 6! ways.Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways. Hence required number of ways = 6! x ⁷P₆

Q: A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ? 1694 1

  • 1
    14.28 % profit
    Correct
    Wrong
  • 2
    24.18 % profit
    Correct
    Wrong
  • 3
    14.28 % loss
    Correct
    Wrong
  • 4
    24.18 % loss
    Correct
    Wrong
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Answer : 1. "14.28 % profit"
Explanation :

Answer: A) 14.28 % profit Explanation: Let 1kg of Rs. 100 then 840gm is of Rs. 84.Now (label on can 1kg but contains 840kg ) so for customer it is of Rs. 100 and further gives 4% discount [he sells his article on 4% loss on cost price.] So now S.P = Rs. 96But actually it contains 840 gm so C.P for shopkeeper = Rs. 84S.P = Rs. 96C.P = Rs. 84Profit% = {(S.P-C.P)/C.P}x100{(96-84)/84} x 100 = 14.28571429% PROFIT.

Q: It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel  ? 1687 0

  • 1
    1/7 min
    Correct
    Wrong
  • 2
    7/2 min
    Correct
    Wrong
  • 3
    5/7 min
    Correct
    Wrong
  • 4
    7/5 min
    Correct
    Wrong
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Answer : 2. "7/2 min"
Explanation :

Answer: B) 7/2 min Explanation: Time taken to fill 2/7 = 1Then to fill full 1 = ?? = 1/(2/7) = 7/2 minutes.

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Answer : 3. "80%"
Explanation :

Answer: C) 80% Explanation: circumference of A = 2πr = 8 => so r = 4πvolume = π×4π2×10 = 160πcircumference of B = 2πr   = 10 => so r = 5πvolume = π×5π2×8 =  200πso ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.

Q: There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ? 1681 0

  • 1
    49450
    Correct
    Wrong
  • 2
    50540
    Correct
    Wrong
  • 3
    46587
    Correct
    Wrong
  • 4
    52487
    Correct
    Wrong
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Answer : 2. "50540"
Explanation :

Answer: B) 50540 Explanation: Given G + B= 41 and B = G-1 Hence, G = 21 and B = 20Now we have 2 options, 1G and 3M (or) 3G and 1M(2G and 2M or 0G and 4M or 4G and oM are not allowed),   Total : C121×C320+C321×C120= 50540 ways.

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