Quantitative Aptitude Practice Question and Answer

Q: In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ? 2634 0

  • 1
    5!
    Correct
    Wrong
  • 2
    6!
    Correct
    Wrong
  • 3
    4!
    Correct
    Wrong
  • 4
    Can't determine
    Correct
    Wrong
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Answer : 4. "Can't determine"
Explanation :

Answer: D) Can't determine Explanation: NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions. And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions. Therefore, Can't be determined.

Q: There are 600 Kabaddi players 4% wear knee band on one leg. Of the remaining, 25% wear knee bands on both legs. How many players don't wear a knee band ? 2623 0

  • 1
    426
    Correct
    Wrong
  • 2
    428
    Correct
    Wrong
  • 3
    415
    Correct
    Wrong
  • 4
    432
    Correct
    Wrong
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Answer : 4. "432"
Explanation :

Answer: D) 432 Explanation: There are 600 Kabaddi players4% wear knee band on one legRemaining players = 600 x 0.96 = 576Of the remaining, 25% wear knee bands on both leg and Of the remaining, 75% do not wear knee bands .So players not wearing knee bands = 0.75 x 576 = 576 x 3/4 = 144 x 3 = 432.

Q: If x is a whole number, then x²(x² - 1) is always divisible by ? 2616 0

  • 1
    4
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "12"
Explanation :

Answer: C) 12 Explanation: we can do this by trial and error method. Putting x = 2,we get 2²(2² - 1) = 12.checking with other integers, the above equation always gives a value which is a multiple of 12,So, x²(x² - 1) is always divisible by 12.

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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 can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ? 2605 0

  • 1
    12 days
    Correct
    Wrong
  • 2
    14 days
    Correct
    Wrong
  • 3
    13 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 3. "13 days"
Explanation :

Answer: C) 13 days Explanation: Now, Total work = LCM(16, 8) = 48 A's one day work = + 48/16 = + 3 B's one day work = - 48/8 = -6 Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15 2days B joined with A in working = 2(3 - 6) = - 6 Remaining Work of building wall = 48 - (15 - 6) = 39 Now this remaining work will be done by A in = 39/3 = 13 days.

Q: Find the next number in the following number series? 11, 13, 30, 96, ? 2604 0

  • 1
    264
    Correct
    Wrong
  • 2
    392
    Correct
    Wrong
  • 3
    412
    Correct
    Wrong
  • 4
    459
    Correct
    Wrong
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Answer : 2. "392"
Explanation :

Answer: B) 392 Explanation: The given number series 11, 13, 30, 96, ? follows a pattern that, 11 11 x 1 + 2 = 13 13 x 2 + 4 = 30 30 x 3 + 6 = 96 96 x 4 + 8 = 392   Hence, the next number in the given series is 392.

Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2604 0

  • 1
    14 days
    Correct
    Wrong
  • 2
    18 days
    Correct
    Wrong
  • 3
    21 deays
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 1. "14 days"
Explanation :

Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1  => x = 18   A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.

Q: 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible? 2600 1

  • 1
    2880
    Correct
    Wrong
  • 2
    1440
    Correct
    Wrong
  • 3
    720
    Correct
    Wrong
  • 4
    2020
    Correct
    Wrong
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Answer : 1. "2880"
Explanation :

Answer: A) 2880 Explanation: There are total 9 places out of which 4 are even and rest 5 places are odd.   4 women can be arranged at 4 even places in 4! ways.   and 5 men can be placed in remaining 5 places in 5! ways.   Hence, the required number of permutations  = 4! x 5! = 24 x 120 = 2880

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