Quantitative Aptitude Practice Question and Answer

Q: 50 men can build a tank in 40days, but though they begin the work together, 5 men quit every ten days. The time needed to build the tank is ? 1815 0

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    50 days
    Correct
    Wrong
  • 2
    48 days
    Correct
    Wrong
  • 3
    47.5 days
    Correct
    Wrong
  • 4
    49 days
    Correct
    Wrong
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Answer : 1. "50 days"
Explanation :

Answer: A) 50 days Explanation: 50 men can build a tank in 40 days  Assume 1 man does 1 unit of work in 1 day Then the total work is 50×40 = 2000 units   50 men work in the first 10 days and completes 50×10 = 500 units of work 45 men work in the next 10 days and completes 45×10 = 450 units of work 40 men work in the next 10 days and completes 40×10 = 400 units of work 35 men work in the next 10 days and completes 35×10 = 350 units of work So far 500 + 450 + 400 + 350 = 1700 units of work is completed and   Remaining work is 2000 - 1700 = 300 units   30 men work in the next 10 days. In each day, they does 30 units of work.   Therefore, additional days required = 300/30 =10   Thus, total 10+10+10+10+10 = 50 days required.

Q: A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days  ? 1812 0

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    9 days
    Correct
    Wrong
  • 2
    11 days
    Correct
    Wrong
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    13 days
    Correct
    Wrong
  • 4
    15 days
    Correct
    Wrong
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Answer : 3. "13 days"
Explanation :

Answer: C) 13 days Explanation: Ratio of times taken by A and B = 100 : 130 = 10 : 13.Suppose B takes x days to do the work. Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13/10 )     =>     x = 299 /10. A's 1 day's work = 1/23 ;B's 1 day's work = 10/299 . (A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 . Therefore, A and B together can complete the work in 13 days.

Q: A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? 1812 1

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    14 cm
    Correct
    Wrong
  • 2
    13.5 cm
    Correct
    Wrong
  • 3
    12.5 cm
    Correct
    Wrong
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    11.4 cm
    Correct
    Wrong
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Answer : 3. "12.5 cm"
Explanation :

Answer: C) 12.5 cm Explanation: Let the required height of the building be x meter More shadow length, More height(direct proportion) Hence we can write as (shadow length) 40.25 : 28.75 :: 17.5 : x⇒ 40.25 × x = 28.75 × 17.5⇒ x = 28.75 × 17.5/40.25= 2875 × 175/40250= 2875 × 7/1610= 2875/230= 575/46= 12.5 cm

Q: 92613 x 62742241 = ? + 89 Find the value of '?' 1810 0

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    166251
    Correct
    Wrong
  • 2
    166259
    Correct
    Wrong
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    166252
    Correct
    Wrong
  • 4
    166253
    Correct
    Wrong
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Answer : 3. "166252"
Explanation :

Answer: C) 166252 Explanation: Given 92613 x 62742241 = ? + 89   Using unit digit method,   On LHS,   1 x 1 x 1 = 1   sqrt of last digit 1 => it must end with either 9 or 1   so now   1 x 1 = 1   1 x 9 = 9   On RHS,   ? + 89   => ? = ...1 - 89 = last digit is 11- 9 = 2   or   => ? = ...9 - 89 = last digit is 9 - 9 = 0   Here in the options last digit 2 is option C.

Q: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is   ? 1810 0

  • 1
    Rs. 580
    Correct
    Wrong
  • 2
    Rs. 480
    Correct
    Wrong
  • 3
    Rs. 550
    Correct
    Wrong
  • 4
    Rs. 470
    Correct
    Wrong
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Answer : 2. "Rs. 480"
Explanation :

Answer: B) Rs. 480 Explanation: Let the sum be Rs. P. Then,   P1+252x1002-P= 510   P[982- 1] = 510.   Sum = Rs. 1920   So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

Q: Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ? 1809 0

  • 1
    76.8
    Correct
    Wrong
  • 2
    86.8
    Correct
    Wrong
  • 3
    78.8
    Correct
    Wrong
  • 4
    84.8
    Correct
    Wrong
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Answer : 4. "84.8"
Explanation :

Answer: D) 84.8 Explanation: Let 'M' be the maximum marks in the examination. Therefore, Madhu got 32% of M = 32M/100 = 0.32MAnd Kumar got 42% of M = 42M/100 = 0.42M.In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1) The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2) Now, Equating (1) and (2), we get0.1M = 24 => M = 24/0.1 = 240'M' is the maximum mark and is equal to 240 marks.We know that Madhu got 32% of the maximum marks.Therefore, Madhu got 32 x 240/100 = 76.8 marks.We also know that Madhu got 8 marks less than the cut-off marks. Therefore, the cut-off marks will be 8 marks more than what Madhu got = 76.8 + 8 = 84.8.

Q: A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ? 1808 0

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

Answer: B) Rs. 3 Explanation: Let wholesaler dealers marked price = 100%, Retailer's C.P = 80% And the retailer sells at 5% less than the marked price => S.P = 95%If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16 Profit made by the retailer = 19-16 =  Rs.3

Q: What will come in place of the question mark(?) in the following question ? 56% of 870 + 82% of 180 = 32% of 90 + ? 1808 0

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    777
    Correct
    Wrong
  • 2
    666
    Correct
    Wrong
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    606
    Correct
    Wrong
  • 4
    789
    Correct
    Wrong
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Answer : 3. "606"
Explanation :

Answer: C) 606 Explanation: 56% of 870 = 56x870/100 = 487.20 82% of 180 = 82x180/100 = 147.60 32% of 90 = 32x90/100 487.20 + 147.6 - 28.8  =  ? ? = 634.8  - 28.8 ? = 606.

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