CAT Practice Question and Answer

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Answer : 1. "3, 3, 8"
Explanation :

Answer: A) 3, 3, 8 Explanation: Let’s break it down. The product of their ages is 72. So what are the possible choices?   2, 2, 18 – sum(2, 2, 18) = 222, 4, 9 – sum(2, 4, 9) = 152, 6, 6 – sum(2, 6, 6) = 142, 3, 12 – sum(2, 3, 12) = 173, 4, 6 – sum(3, 4, 6) = 133, 3, 8 – sum(3, 3, 8 ) = 141, 8, 9 – sum(1,8,9) = 181, 3, 24 – sum(1, 3, 24) = 281, 4, 18 – sum(1, 4, 18) = 231, 2, 36 – sum(1, 2, 36) = 391, 6, 12 – sum(1, 6, 12) = 19   The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.   2, 6, 6 – sum(2, 6, 6) = 143, 3, 8 – sum(3, 3, 8 ) = 14   Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.

Q: Find the least number by which 175760 be divided to make it a perfect cube. 3481 0

  • 1
    6
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 2. "10"
Explanation :

Answer: B) 10 Explanation: 175760 =2³ x 2 x 5 x 13³= 2³ x 2 x 5 x 13³ To make perfect cube, it must be divided by 2 x 5 = 10

Q: 5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ? 3477 0

  • 1
    24 and 13 years
    Correct
    Wrong
  • 2
    48 and 24 years
    Correct
    Wrong
  • 3
    35 and 11 years
    Correct
    Wrong
  • 4
    33 and 15 years
    Correct
    Wrong
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Answer : 3. "35 and 11 years"
Explanation :

Answer: C) 35 and 11 years Explanation: Let the age of sushma be x and the age of her son is yThen five years before x-5=5(y-5) ...(1)Five years hence x+5 = 3(y+5)-8 .....(2) By soving (1) & (2), we get5y - 15 = 3y + 7y = 11 => x = 35 Therefore, the age of Sushma = 35 and her son = 11.

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Answer : 4. "149600 kgs"
Explanation :

Answer: D) 149600 kgs Explanation: Let the total quantity of gold be p kgs. According to the question, 50% of p + 25% of p + 12.5% of p = 130900 87.5% of p = 130900 p = 130900 x 100/87.5  = 149600 kgs.   Therefore, the initial gold quantity that king has = p = 149600 kgs.

Q: Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ? 3469 0

  • 1
    17 days
    Correct
    Wrong
  • 2
    11 days
    Correct
    Wrong
  • 3
    15 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 3. "15 days"
Explanation :

Answer: C) 15 days Explanation: We know that Time is inversely proportional to Efficiency Here given time ratio of P & P+Q as P/P+Q = 150/100 = 3:2 Efficiency ratio of P & Q as P:Q = 2:1 ....(1) Given Efficiency ratio of Q & R as Q:R = 3:1 ....(2) From (1) & (2), we get P:Q:R = 6:3:1 P alone can finish the work in 22.5(3+1)/6 = 15 days.

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Answer :
Explanation :

1. Answer : 2 Explanation : Productivity = Total production/area of Agr.land  Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000   Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000   Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000  Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000   Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000   Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000  The Productivity of Haryana is the maximum.       2. Answer : 5   Explanation : Production of Punjab is maximum = 105000 tonnes      3. Answer : 3  Explanation : Production of Wheat in Punjab = 40000 tones Production of Maize in Odisha = 10000 tones Required % = (40000 - 10000)/100 = 300%      4. Answer : 4  Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1       5. Answer : 1   Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore  Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

Q: Minimum number of straight lines required to form the below figure ? 3445 0

  • 1
    18
    Correct
    Wrong
  • 2
    17
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 3. "14"
Explanation :

Answer: C) 14 Explanation: The given figure can be labelled as shown :         The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.The vertical lines are AE, LF and KG i.e. 3 in number.The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.

Q: Which of these is not a simple machine? 3435 1

  • 1
    a pair of scissors
    Correct
    Wrong
  • 2
    a lever
    Correct
    Wrong
  • 3
    a ramp
    Correct
    Wrong
  • 4
    the pulley
    Correct
    Wrong
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Answer : 1. "a pair of scissors"
Explanation :

Answer: A) a pair of scissors Explanation: Any of the basic mechanical devices for applying a force are called simple machines. There are 6 basic simple machines; the lever, the wheel and axle, the inclined plane, the wedge, the pulley, and the screw. Several of these simple machines are related to each other. But, each has a specific purpose in the world of doing work.

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