Quantitative Aptitude Practice Question and Answer

Q: Three strategies P, Q and R have been initiated for cost cutting in a company producing respectively 20%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved ? 1988 0

  • 1
    49.6%
    Correct
    Wrong
  • 2
    50.4%
    Correct
    Wrong
  • 3
    33.67%
    Correct
    Wrong
  • 4
    66.66%
    Correct
    Wrong
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Answer : 1. "49.6%"
Explanation :

Answer: A) 49.6% Explanation: As these three strategies P, Q and R are independent so these will cut cost one after the other.If initial cost is Rs 100, then20% cost is cut after initializing strategy P, then cost will remain 80% = 80further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4 Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.

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 ? 1987 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: The sum of three consecutive odd numbers is 93. What is the middle number? 1985 0

  • 1
    31
    Correct
    Wrong
  • 2
    33
    Correct
    Wrong
  • 3
    29
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 1. "31"
Explanation :

Answer: A) 31 Explanation: Let the three consecutive odd numbers be x, x+2, x+4 Then, x + x + 2 + x + 4 = 93 => 3x + 6 = 93 => 3x = 87 => x = 29 => 29, 31, 33 are three consecutive odd numbers.   Therefore, the middle number is 31.

Q: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned  ? 1984 0

  • 1
    Rs. 11828.80
    Correct
    Wrong
  • 2
    Rs. 19828.80
    Correct
    Wrong
  • 3
    Rs. 9828.80
    Correct
    Wrong
  • 4
    Rs. 19328.80
    Correct
    Wrong
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Answer : 2. "Rs. 19828.80"
Explanation :

Answer: B) Rs. 19828.80 Explanation: Let the sum be Rs. P P{ 1+81002- 1 } = 2828.80   It is in the form of  a2-b2 = a+ba-b   P(8/100)(2 + 8/100) = 2828.80   P = 2828.80 / (0.08)(2.08)   = 1360/0.08 = 17000   Principal + Interest = Rs. 19828.80

Q: From a bunch of flowers having 16 red roses and 14 white roses, four flowers have to be selected. In how many different ways can they be selected such that at least one red rose is selected? 1984 0

  • 1
    27405
    Correct
    Wrong
  • 2
    26584
    Correct
    Wrong
  • 3
    26585
    Correct
    Wrong
  • 4
    27404
    Correct
    Wrong
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Answer : 4. "27404"
Explanation :

Answer: D) 27404 Explanation: Given total 16 Red roses and 14 White roses = 30 roses   Four flowers have to be selected from 30 i.e,  C430= 27405 Ways    Now, atleast one Red rose is selected i.e, 27405(total) - 1(all four are white roses)  = 27404 ways.

Q: The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ? 1983 0

  • 1
    80 degrees
    Correct
    Wrong
  • 2
    60 degrees
    Correct
    Wrong
  • 3
    120 degrees
    Correct
    Wrong
  • 4
    40 degrees
    Correct
    Wrong
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Answer : 2. "60 degrees"
Explanation :

Answer: B) 60 degrees Explanation: Given the angles of a quadrilateral are in the ratio of 2:4:7:5Let the angles of a quadrilateral are 2x, 4x, 7x, 5xBut we know that sum of the angles = 360 degrees.=> 2x + 4x + 7x + 5x = 360=> x = 20Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.One of the angle of the triangle = 2 x 40 = 80 degreesThe other angle is 180 - (40 + 80) = 60 degrees. Hence the second largest angle of the triangle is 60 degrees.

Q: One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture. 1981 0

  • 1
    27 %
    Correct
    Wrong
  • 2
    26 %
    Correct
    Wrong
  • 3
    29 %
    Correct
    Wrong
  • 4
    21 %
    Correct
    Wrong
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Answer : 1. "27 %"
Explanation :

Answer: A) 27 % Explanation: Let the percentage of benzene = X(30 - X)/(X- 25) = 6/4 = 3/2 => 5X = 135  X = 27 So, required percentage of benzene = 27 %

Q: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is : 1980 0

  • 1
    Rs. 560
    Correct
    Wrong
  • 2
    Rs. 530
    Correct
    Wrong
  • 3
    Rs. 500
    Correct
    Wrong
  • 4
    Rs. 514
    Correct
    Wrong
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Answer : 3. "Rs. 500"
Explanation :

Answer: C) Rs. 500 Explanation: 110% of S.P. = Rs. 616 S.P. = (616 x 100)/110 = Rs. 560 C.P = (110 x 560)/112 = Rs. 500

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