CAT Practice Question and Answer

Q: A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 6390 0

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

Answer: A) 4% Explanation: SP of first article = Rs.1000   Profit = 20%  CP = SP x 100100+P% = Rs. 25003 SP of Second Article = Rs.1000  Loss = 20%  CP = SP x 100100-L% = Rs. 1250   So, Total SP = Rs.2000; Total CP = Rs.6250/3   As the CP is more than SP, he makes a loss.   Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3)   So, Loss Percent = Lossx100/CP = 4%

Q: A number of cats got together and decided to kill between them 999919 rats. Every cat killed an equal number of rats. Each cat killed more rats than there were cats. How many rats do you think that each cat killed ? 6384 0

  • 1
    1009
    Correct
    Wrong
  • 2
    991
    Correct
    Wrong
  • 3
    2000
    Correct
    Wrong
  • 4
    1000
    Correct
    Wrong
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Answer : 1. "1009"
Explanation :

Answer: A) 1009 Explanation: Given total number of rats = 999919   999919 = 1000000 - 81 = 10002 - 92 = (1000+9)(1000-9) = 1009 x 991.Since there were more rats than there were cats, 991 cats killed 1009 rats each.

Q: What has a spine but no bones? 6371 0

  • 1
    Mirror
    Correct
    Wrong
  • 2
    Book
    Correct
    Wrong
  • 3
    Table
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 2. "Book"
Explanation :

Answer: B) Book Explanation: A book has a spine to hold all the pages, but it has no bones.

Q: How many times can you subtract 10 from 100? 6356 0

  • 1
    9 times
    Correct
    Wrong
  • 2
    10 times
    Correct
    Wrong
  • 3
    1 time
    Correct
    Wrong
  • 4
    0 times
    Correct
    Wrong
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Answer : 3. "1 time"
Explanation :

Answer: C) 1 time Explanation: How many times can you subtract 10 from 100, for this if we go through logically, it is only 1 time. For the first time if we subtract 10 from 100, then there will no 100 to subtract from.   Hence, it is only 1 time we can subtract 10 from 100.

Q: Raman is performing yoga with his head down and legs up. His face is towards the west. In which direction, will his left hand be ? 6353 0

  • 1
    North
    Correct
    Wrong
  • 2
    North - East
    Correct
    Wrong
  • 3
    East
    Correct
    Wrong
  • 4
    West
    Correct
    Wrong
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Answer : 1. "North"
Explanation :

Answer: A) North Explanation: So he is facing west his left hand will be in North direction.

Q: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work? 6351 0

  • 1
    215 days
    Correct
    Wrong
  • 2
    225 days
    Correct
    Wrong
  • 3
    235 days
    Correct
    Wrong
  • 4
    240 days
    Correct
    Wrong
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Answer : 2. "225 days"
Explanation :

Answer: B) 225 days Explanation: Given that (10M + 15W) x 6 days = 1M x 100 days => 60M + 90W = 100M => 40M = 90W => 4M = 9W. From the given data, 1M can do the work in 100 days => 4M can do the same work in 100/4= 25 days. => 9W can do the same work in 25 days. => 1W can do the same work in 25 x 9 = 225 days.   Hence, 1 woman can do the same work in 225 days.

Q: I travel 20 miles towards north and then travel 25 miles eastward. I then travel 40 miles rightwards, then travel 30 miles towards left and then travels 12 miles to the left and finally 20 miles northwards. How far am i pproximately from my original destination and in what direction ? 6329 0

  • 1
    20 miles towards south
    Correct
    Wrong
  • 2
    13 miles towards south-west
    Correct
    Wrong
  • 3
    12 miles towards east
    Correct
    Wrong
  • 4
    13 miles towards north-east
    Correct
    Wrong
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Answer : 2. "13 miles towards south-west"
Explanation :

Answer: B) 13 miles towards south-west Explanation:  Using pythagorus rule,   x2=122+52  --> x = 13

Q: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year  ? 6300 0

  • 1
    21:29
    Correct
    Wrong
  • 2
    41:54
    Correct
    Wrong
  • 3
    32:45
    Correct
    Wrong
  • 4
    37:51
    Correct
    Wrong
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Answer : 3. "32:45"
Explanation :

Answer: C) 32:45 Explanation:              A              :               B(8000x4)+(4000x8) : (9000x6)+(6000x6)         64000           :      90000=>        32 : 45

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