Quantitative Aptitude Practice Question and Answer

Q: The price of pulses has increased by 25%. The percentage of reduction that a family should effect in the use of pulses so as not to increase the expenditure on this account is ? 1908 0

  • 1
    16%
    Correct
    Wrong
  • 2
    20%
    Correct
    Wrong
  • 3
    84%
    Correct
    Wrong
  • 4
    72%
    Correct
    Wrong
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Answer : 2. "20%"
Explanation :

Answer: B) 20% Explanation: Reduction in consumption= P100+P X 100%= 25100+25 X 100%= 20%

Q: If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ? 1908 0

  • 1
    51/1221
    Correct
    Wrong
  • 2
    42/221
    Correct
    Wrong
  • 3
    1/221
    Correct
    Wrong
  • 4
    52/1245
    Correct
    Wrong
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Answer : 3. "1/221"
Explanation :

Answer: C) 1/221 Explanation: Total Combination of getting a card from 52 cards = C152 Because there is no replacement, so number of cards after getting first card= 51 Now, Combination of getting an another card= C151 Total combination of getting 2 cards from 52 cards without replacement= (C152×C151)  There are total 4 Ace in stack. Combination of getting 1 Ace is = C14   Because there is no replacement, So number of cards after getting first Ace = 3 Combination of getting an another Ace = C13 Total Combination of getting 2 Ace without replacement=C14×C13 Now,Probability of getting 2 cards which are Ace =C14×C13C152×C151 = 1/221.

Q: A watch which gains uniformly is 2 minutes low at noon on Tuesday and is 4 min 48 sec fast at 2 p.m. on the following Tuesday. When was it correct ? 1906 0

  • 1
    12 p.m. on Wednesday
    Correct
    Wrong
  • 2
    2 p.m. on Thursday
    Correct
    Wrong
  • 3
    3 p.m. on Thursday
    Correct
    Wrong
  • 4
    2 p.m. on Wednesday
    Correct
    Wrong
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Answer : 2. "2 p.m. on Thursday"
Explanation :

Answer: B) 2 p.m. on Thursday Explanation: Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours.= 170 hours.The watch gains = (2 + 4 x 4/5) min= 34/5 min. in 170 hrs.Now, 34/5 min are gained in 170 hrs.Then, 2 min are gained in (170 x 5/34 x 2) hrs.Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.

Q: From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done? 1903 0

  • 1
    427
    Correct
    Wrong
  • 2
    531
    Correct
    Wrong
  • 3
    651
    Correct
    Wrong
  • 4
    714
    Correct
    Wrong
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Answer : 2. "531"
Explanation :

Answer: B) 531 Explanation: Given in the question that, there are 7 boys and 6 girls.  Team members = 5 Now, required number of ways in which a team of 5 having atleast 3 girls in the team =  6C3  x 7C2  + 6C4 x 7C1 + 6C5= 6x5x43x2x1 x 7x62x1 + 6x5x4x34x3x2x1 x 7 + 6x5x4x3x25x4x3x2x1= 420 + 105 + 6= 531.

Q: A man covers half of his journey by train at 60 km/hr, half of the remaining by bus at 30 km/hr and the rest by cycle at 10 km/hr. Find his average speed during the entire journey? 1902 0

  • 1
    32 kmph
    Correct
    Wrong
  • 2
    20 kmph
    Correct
    Wrong
  • 3
    18 kmph
    Correct
    Wrong
  • 4
    24 kmph
    Correct
    Wrong
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Answer : 4. "24 kmph"
Explanation :

Answer: D) 24 kmph Explanation: Let the total distance of the journey of a man = d kms Now, the average speed of the entire journey = dd120 + d120 + d40  = 24 kmph.

Q: K and L start a business jointly. K invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit L claims 2/7th share. How much money is contributed by L? 1902 0

  • 1
    Rs. 13,204
    Correct
    Wrong
  • 2
    Rs. 14,521
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 15,000
    Correct
    Wrong
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Answer : 3. "Rs. 12,800"
Explanation :

Answer: C) Rs. 12,800 Explanation: Given share of L is 2/7 th of profit. Then, their profits are divided in to 5:2 ratio. Ratio of K and L is 16000×8x×4=52 x = Rs. 12,800.

Q: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved? 1899 0

  • 1
    1/4
    Correct
    Wrong
  • 2
    1/2
    Correct
    Wrong
  • 3
    3/4
    Correct
    Wrong
  • 4
    7/12
    Correct
    Wrong
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Answer : 3. "3/4"
Explanation :

Answer: C) 3/4 Explanation: Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event ∴A, B, C are independent events Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4  PA=12, PB=23, PC= 34 ∴ P( none  solves the problem) = P(not A) and (not B) and (not C)                     = PA∩B∩C                    = PAPBPC         ∵ A, B, C are Independent                                          =  12×23×34                     = 14   Hence, P(the problem will be solved) = 1 - P(none solves the problem)                  = 1-14= 3/4

Q: How many days in 4 years? 1898 0

  • 1
    1460
    Correct
    Wrong
  • 2
    1461
    Correct
    Wrong
  • 3
    1462
    Correct
    Wrong
  • 4
    1459
    Correct
    Wrong
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Answer : 1. "1460"
Explanation :

Answer: A) 1460 Explanation: Days in 4 years =>  Let the first year is Normal year i.e, its not Leap year. A Leap Years occurs once for every 4 years. 4 years => 365 + 365 + 365 + 366(Leap year) 4 years => 730 + 731 = 1461   Therefore, Number of Days in 4 Years = 1461 Days.

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