Quantitative Aptitude Practice Question and Answer

Q: 12 year old Manish is three times as old as his brother Rajeev. How old will Manish be when he is twice as old as Rajeev ? 2904 0

  • 1
    12 yrs
    Correct
    Wrong
  • 2
    14 yrs
    Correct
    Wrong
  • 3
    16 yrs
    Correct
    Wrong
  • 4
    18 yrs
    Correct
    Wrong
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Answer : 3. "16 yrs"
Explanation :

Answer: C) 16 yrs Explanation: 12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.Diff in ages = 8 years.when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.

Q: X can complete the work in 10 days, Y can do the same in 15 days. If they are hired for 5 days to do the work together, what is the work that left unfinished? 2900 0

  • 1
    1/3
    Correct
    Wrong
  • 2
    2/3
    Correct
    Wrong
  • 3
    1/6
    Correct
    Wrong
  • 4
    5/6
    Correct
    Wrong
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Answer : 3. "1/6"
Explanation :

Answer: C) 1/6 Explanation: Given X can do in 10 days  => 1 day work of X = 1/10   Y can do in 15 days  => 1 day work of Y = 1/15   1day work of (X + Y) = 1/10 + 1/15 = 1/6   Given they are hired for 5 days  => 5 days work of (X + Y) = 5 x 1/6 = 5/6  Therefore, Unfinished work = 1 - 5/6 = 1/6

Q: An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ? 2899 0

  • 1
    55 kms
    Correct
    Wrong
  • 2
    35 kms
    Correct
    Wrong
  • 3
    25 kms
    Correct
    Wrong
  • 4
    65 kms
    Correct
    Wrong
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Answer : 1. "55 kms"
Explanation :

Answer: A) 55 kms Explanation: Let x and y be the respective km's travelled by man via taxi and by his own car.Given x + y = 90 => x = 90 - yBut according to the question,7x + 6y = 5957(90-y) + 6y = 595=> 630 - 7y + 6y = 595=> y = 630 - 595 = 35=> x = 90 - 35 = 55Therefore, the distance travelled by taxi is 55 kms.

Q: A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ? 2898 0

  • 1
    11/91
    Correct
    Wrong
  • 2
    4/11
    Correct
    Wrong
  • 3
    1/11
    Correct
    Wrong
  • 4
    90/91
    Correct
    Wrong
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Answer : 4. "90/91"
Explanation :

Answer: D) Option D Explanation: Let S be the sample space. Then,n(s) = number of ways of drawing 4 pearls out of 14 = C414 ways = 14×13×12×114×3×2×1= 1001 Let E be the event of drawing 4 pearls of the same colour.Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)   ⇒C15+ C44+ C15 = 5+1+5 =11  P(E) = n(E)n(S)=111001=191      Required probability = 1-191=9091

Q: Three numbers are in the ratio of 3:4:5 and their L.C.M is 3600.Their HCF is: 2888 0

  • 1
    40
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    100
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "60"
Explanation :

Answer: B) 60 Explanation: Let the numbers be 3x, 4x, 5x.   Then, their L.C.M = 60x.   So, 60x=3600 or x=60.   Therefore,  The numbers are (3 x 60), (4 x 60), (5 x 60).   Hence,required H.C.F=60

Q: A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately? 2882 0

  • 1
    20
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    22
    Correct
    Wrong
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Answer : 1. "20"
Explanation :

Answer: A) 20 Explanation: Given height of the conical tent = 3 m Diameter = 10 => Radius = D/2 = 10/2 = 5 m  Now, as the tent is in the conical form Volume of the conical tent = πr2h3  => (22 x 5 x 5 x 3) / (7 x 3)  = 22 x 25/7  = 78.54 cu.m  Given each person requires 3.92 cu.m of air  => Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20

Q: 'A' sold an article to 'B' at a profit of 20%. 'B' sold the same article to 'C' at a loss of 25% and 'C' sold the same article to 'D' at a profit of 40%. If 'D' paid Rs 252 for the article, then find how much did 'A' pay for it? 2882 0

  • 1
    Rs.196
    Correct
    Wrong
  • 2
    Rs.210
    Correct
    Wrong
  • 3
    Rs.200
    Correct
    Wrong
  • 4
    Rs.235
    Correct
    Wrong
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Answer : 3. "Rs.200"
Explanation :

Answer: C) Rs.200 Explanation: Let the article costs 'X' to ACost price of B = 1.2XCost price of C = 0.75(1.2X) = 0.9XCost price of D = 1.4(0.9X) = 1.26X = 252Amount paid by A for the article = Rs. 200.

Q: Rushi and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Ram joins them with a capital of two third of that of Arun. After a year, profit share of Rushi was Rs. 5600, then find total profit? 2880 0

  • 1
    26,250
    Correct
    Wrong
  • 2
    19,200
    Correct
    Wrong
  • 3
    18,650,
    Correct
    Wrong
  • 4
    15,200
    Correct
    Wrong
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Answer : 4. "15,200"
Explanation :

Answer: D) 15,200 Explanation: Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6) = 7 : 9 : 3 Given Rushi's one year profit = Rs. 5600 => Let the total profit = Rs. P Then, P x 7/19 = 5600 Total profit P = 19 x 5600/7 = Rs. 15,200.

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