CAT Practice Question and Answer

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 ? 6664 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: What has a spine but no bones? 6629 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: 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? 6628 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 ? 6627 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: A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ? 6613 0

  • 1
    Rs.37,500
    Correct
    Wrong
  • 2
    Rs.36,400
    Correct
    Wrong
  • 3
    Rs.37,415
    Correct
    Wrong
  • 4
    Rs.36,500
    Correct
    Wrong
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Answer : 1. "Rs.37,500"
Explanation :

Answer: A) Rs.37,500 Explanation: Assume A be the cost price.   Therefore,35×A×10100 - 25×A×5100 = 1500   =>  A = Rs 37,500.

Q: Find the next number in the series 5, 8, 16, 19, 57, 60, ..... 6610 0

  • 1
    188
    Correct
    Wrong
  • 2
    256
    Correct
    Wrong
  • 3
    240
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 3. "240"
Explanation :

Answer: C) 240 Explanation: The pattern is x1+3, x 2, x1+3, x 3, x1+3, x 4 The next number=60x4=240

Q: It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ? 6604 0

  • 1
    45 min
    Correct
    Wrong
  • 2
    25 min
    Correct
    Wrong
  • 3
    30 min
    Correct
    Wrong
  • 4
    36 min
    Correct
    Wrong
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Answer : 3. "30 min"
Explanation :

Answer: C) 30 min Explanation: After 5 mins ..... 3 persons will get rumourAfter 10 mins .... 3x2 + 3 = 9 = 32 persons will get after 15 =5x3 min ......9x2 + 9 =27 = 33 persons will get news...after 5x6 mins ... 36 = 729 persons will get news.   Therefore, time taken to spread the rumour to 729 persons is 30 minutes.

Q: Find the next number in te given series ? 5, 25, 61, 113, ... 6599 0

  • 1
    142
    Correct
    Wrong
  • 2
    181
    Correct
    Wrong
  • 3
    156
    Correct
    Wrong
  • 4
    179
    Correct
    Wrong
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Answer : 2. "181"
Explanation :

Answer: B) 181 Explanation: Here the series follow the rule that 12+22 = 5 32+42 = 2552+62 = 61 72+82 = 113   SO NEXT IS, 92+102 = 181

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