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 ? 2568 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: Sum of present ages of P and Q is 41. Age of P 2 year hence is equal to age of R, 1 year ago. Age of P, 4 year hence is equal to age of Q 1 year ago and ratio of present age of P and S is 3 : 4. Find the difference of age of R and S. 2563 0

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

Answer: B) 3 Explanation: According to the given data, P + Q = 41 ......(1) R - 1 = P + 2 R = P + 3 and P + 4 = Q - 1 => Q = P + 5 ....(2) From (1)&(2) P = 18 Q = 18 + 5 = 23 R = 18 + 3 = 21 => P/S = 3/4 => S = 4/3 x 18 = 24 Required Difference = S - R = 24 - 21 = 3.

Q: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ? 2559 0

  • 1
    7
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    11
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 2. "9"
Explanation :

Answer: B) 9 Explanation: LCM of 2, 3, 7 is 42. => (700 – 300)/42 = 9  22/42 => 9 Numbers.

Q: A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ? 2555 0

  • 1
    10%
    Correct
    Wrong
  • 2
    15%
    Correct
    Wrong
  • 3
    20%
    Correct
    Wrong
  • 4
    25%
    Correct
    Wrong
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Answer : 4. "25%"
Explanation :

Answer: D) 25% Explanation: Let the list price be Rs.100.    Therefore, the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15.   Therefore, his percentage is = 1560x100 = 25%

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 ? 2555 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 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 ? 2547 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: In how many ways word of 'GLACIOUS' can be arranged such that 'C' always comes at end? 2547 0

  • 1
    3360
    Correct
    Wrong
  • 2
    5040
    Correct
    Wrong
  • 3
    720
    Correct
    Wrong
  • 4
    1080
    Correct
    Wrong
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Answer : 2. "5040"
Explanation :

Answer: B) 5040 Explanation: Given word is GLACIOUS has 8 letters. => C is fixed in one of the 8 places Then, the remaining 7 letters can be arranged in 7! ways = 5040.

Q: A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ? 2546 0

  • 1
    88572
    Correct
    Wrong
  • 2
    77854
    Correct
    Wrong
  • 3
    99584
    Correct
    Wrong
  • 4
    55654
    Correct
    Wrong
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Answer : 1. "88572"
Explanation :

Answer: A) 88572 Explanation: Given a secret is told to 3 persons in 3 minutes.And if the process continues with each person saying 3 other persons,In 30 minutes => the rocess for 10 times because each person time is 3 minutes.Required number of persons = 3 + 32 + 33 + .... + 39 + 310   Now it forms a geometric progression,   Sum to n terms is S = arn - 1r - 1   Here a = 3, r = 3  => 59048 x 3 /2   = 88572.

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