Quantitative Aptitude Practice Question and Answer

Q: If 15% of x = 20% of y, then x:y is  ___? 2350 0

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

Answer: A) 4:3 Explanation: Given 15% of x = 20% of y => 15x = 20y => x/y = 20/15 => x : y = 4 : 3

Q: A motorboat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the motorboat and speed of the water current respectively? 1422 0

  • 1
    3:7
    Correct
    Wrong
  • 2
    7:9
    Correct
    Wrong
  • 3
    5:4
    Correct
    Wrong
  • 4
    8:3
    Correct
    Wrong
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Answer : 4. "8:3"
Explanation :

Answer: D) 8:3 Explanation: Let the man's rate upstream be x kmph and that downstream be y kmph. Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs. x x 8 4 = (y x 4) 5 44 x =4y 5  y = 11 x. 5  Required ratio = y + x : y - x 2 2    = 16x x 1 : 6x x 1 5 2 5 2    = 8 : 3 5 5    = 8 : 3.

Q: P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days? 1492 0

  • 1
    16 days
    Correct
    Wrong
  • 2
    13 days
    Correct
    Wrong
  • 3
    15 days
    Correct
    Wrong
  • 4
    12 days
    Correct
    Wrong
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Answer : 2. "13 days"
Explanation :

Answer: B) 13 days Explanation: Ratio of times taken by P & Q = 100 : 130 = 10:13   Let Q takes x days to do the work Then, 10:13 :: 23:x => x = 23x13/10 => x = 299/10   P's 1 day's work = 1/23 Q's 1 day's work = 10/299 (P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 Hence, P & Q together can complete the work in 13 days.

Q: In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is: 4443 0

  • 1
    9
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    7.5
    Correct
    Wrong
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Answer : 1. "9"
Explanation :

Answer: A) 9 Explanation: Speed in still water = Average of Speed in Upstream and speed in Downstream = 1/2 (12 + 6) kmph = 9 kmph.

Q: The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water? 1696 0

  • 1
    8:3
    Correct
    Wrong
  • 2
    6:7
    Correct
    Wrong
  • 3
    7:5
    Correct
    Wrong
  • 4
    11:7
    Correct
    Wrong
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Answer : 3. "7:5"
Explanation :

Answer: C) 7:5 Explanation: Milk in 1-litre mixture of A = 4/7 litre.  Milk in 1-litre mixture of B = 2/5 litre.  Milk in 1-litre mixture of C = 1/2 litre.   By rule of alligation we have required ratio X:Y       X                  :                 Y     4/7                                2/5              \                      /               (Mean ratio)                   (1/2)             /                      \  (1/2 – 2/5)     :       (4/7 – 1/2)       1/10                      1/1 4    So Required ratio = X : Y = 1/10 : 1/14 = 7:5

Q: A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is: 4202 0

  • 1
    A gain of Rs. 27
    Correct
    Wrong
  • 2
    A loss of Rs. 37
    Correct
    Wrong
  • 3
    A loss of Rs. 27
    Correct
    Wrong
  • 4
    A gain of Rs. 37
    Correct
    Wrong
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Answer : 2. "A loss of Rs. 37"
Explanation :

Answer: B) A loss of Rs. 37 Explanation: As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order). The overall resultant will remain same. So final amount with the person will be (in all cases): = 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27 Hence the final result is:  64 − 27 = 37 A loss of Rs.37

Q: How many more words can be formed by using the letters of the given word 'CREATIVITY'? 1436 0

  • 1
    851250
    Correct
    Wrong
  • 2
    751210
    Correct
    Wrong
  • 3
    362880
    Correct
    Wrong
  • 4
    907200
    Correct
    Wrong
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Answer : 4. "907200"
Explanation :

Answer: D) 907200 Explanation: The number of letters in the given word CREATIVITY = 10   Here T & I letters are repeated   => Number of Words that can be formed from CREATIVITY = 10!/2!x2! = 3628800/4 = 907200

Q: The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is: 1473 0

  • 1
    21 yrs
    Correct
    Wrong
  • 2
    27 yrs
    Correct
    Wrong
  • 3
    29 yrs
    Correct
    Wrong
  • 4
    31 yrs
    Correct
    Wrong
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Answer : 1. "21 yrs"
Explanation :

Answer: A) 21 yrs Explanation: Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years Age of husband = 81 - 60 = 21 years.

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