Quantitative Aptitude Practice Question and Answer

Q: A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is white ? 1724 0

  • 1
    14/33
    Correct
    Wrong
  • 2
    14/55
    Correct
    Wrong
  • 3
    12/55
    Correct
    Wrong
  • 4
    13/33
    Correct
    Wrong
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Answer : 1. "14/33"
Explanation :

Answer: A) 14/33 Explanation: Total number of chairs = (3 + 5 + 4) = 12. Let S be the sample space. Then, n(s)= Number of ways of picking 2 chairs out of 12 = 12×11/2×1 = 66 Let n(E) = number of events of selecting 2 chairs for selecting no white chairs. => 8C2 = 8×7/2×1 = 28 Therefore required probability = 28/66 = 14/33.

Q: A sales boy is allowed 412 % discount on the total sales made by him plus a bonus of 14% on the sales over Rs.12,000.If his total earnings were Rs.2400, then his total sales(in Rs.) are ? 1721 0

  • 1
    Rs.60,145.23
    Correct
    Wrong
  • 2
    Rs.54,285.54
    Correct
    Wrong
  • 3
    Rs.52,147.85
    Correct
    Wrong
  • 4
    Rs.50,589.47
    Correct
    Wrong
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Answer : 4. "Rs.50,589.47"
Explanation :

Answer: D) Rs.50,589.47 Explanation: Let the total earnings be Rs.x  Then 412% of x + 14% of (x-12000) =2400  ⇒92×x100+14×x-12000100=2400 =>  x=50,589.47

Q: A sum is equally invested in two different schemes on CI at the rate of 15% and 20% for two years. If interest gained from the sum invested at 20% is Rs. 528.75 more than the sum invested at 15%, find the total sum? 1720 0

  • 1
    Rs. 7000
    Correct
    Wrong
  • 2
    Rs. 4500
    Correct
    Wrong
  • 3
    Rs. 9000
    Correct
    Wrong
  • 4
    Rs. 8200
    Correct
    Wrong
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Answer : 3. "Rs. 9000"
Explanation :

Answer: C) Rs. 9000 Explanation: Let Rs. K invested in each scheme Two years C.I on 20% = 20 + 20 + 20x20/100 = 44% Two years C.I on 15% = 15 + 15 + 15x15/100 = 32.25% Now, (P x 44/100) - (P x 32.25/100) = 528.75 => 11.75 P = 52875 => P = Rs. 4500   Hence, total invested money = P + P = 4500 + 4500 = Rs. 9000.

Q: R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ? 1718 0

  • 1
    Rs. 90500
    Correct
    Wrong
  • 2
    Rs. 87500
    Correct
    Wrong
  • 3
    Rs. 88900
    Correct
    Wrong
  • 4
    Rs. 90000
    Correct
    Wrong
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Answer : 4. "Rs. 90000"
Explanation :

Answer: D) Rs. 90000 Explanation: Ratio of investments for 1 year => (P : Q : R) = (2x2 + 2.4x10) : (3x2 + 3.3x10) : (5x12) => (P : Q : R) = 28 : 39 : 60 Now R share = 190500 x 60/127 = Rs. 90000.

Q: A jeep travels a certain distance taking 6 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 4 hrs. What is the distance travelled by the jeep is ? 1717 0

  • 1
    244 km
    Correct
    Wrong
  • 2
    144 km
    Correct
    Wrong
  • 3
    444 km
    Correct
    Wrong
  • 4
    344 km
    Correct
    Wrong
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Answer : 2. "144 km"
Explanation :

Answer: B) 144 km Explanation: Given a jeep travels a certain distance taking 6 hrs in forward journeyDuring the return journey, it takes 4 hrs with an increased speed 12 km/hrLet 'x' be the distance.Now, speed is given by distance/time.Here the difference between both speeds = 12  x4 - x6 = 12  3x - 2x12 = 12   => x = 144 km   Therefore, the distance travelled by the jeep in forward or return journey is x = 144 km.

Q: How many three digit numbers 'abc' are formed where two of the three digits are same ? 1717 0

  • 1
    252
    Correct
    Wrong
  • 2
    648
    Correct
    Wrong
  • 3
    243
    Correct
    Wrong
  • 4
    900
    Correct
    Wrong
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Answer : 3. "243"
Explanation :

Answer: C) 243 Explanation: Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10   First all possible case => 9(0 excluded) x 10 x 10 = 900   Second no repetition allowed =>9 x 9 x 8 = 648   Third all digits are same => 9 (111,222,333,444,555,666,777,888,999)   Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;

Q: Find the remainder when 629 is divided by 5 ? 1717 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 2. "1"
Explanation :

Answer: B) 1 Explanation: All powers of 6 has 6 in units place so answer will definitely be 1.

Q: At an examination in which maximum marks are 500. K got 10% less than L, L got 25% more than M and M got 20% less than N. If K got 360 marks what percentage of marks was obtained by N ? 1717 0

  • 1
    80
    Correct
    Wrong
  • 2
    87
    Correct
    Wrong
  • 3
    78
    Correct
    Wrong
  • 4
    76
    Correct
    Wrong
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Answer : 1. "80"
Explanation :

Answer: A) 80 Explanation: Let marks obtained by N = x M's marks = 0.80x L's marks = 1.25 (0.80x) K's marks = (0.90) (1.25) (0.80x) = 0.9x But 0.9x = 360 ⇒ x = 400 Percentage of Marks obtained by N = 400 x 100/500 = 80%

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