CAT Practice Question and Answer

Q: Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriage  Raju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is  ? 4267 0

  • 1
    30
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    38
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "38"
Explanation :

Answer: C) 38 Explanation: Let Raju's age at the time of his marriage = X years Then from given data => X + 8 = 6/5 X X = 40. Since got married 8 years ago, his present age  = 48 His sister is 10 years younger => 48 - 10 = 38 years.

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: 4261 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: There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was : 4259 0

  • 1
    20
    Correct
    Wrong
  • 2
    35
    Correct
    Wrong
  • 3
    54
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "20"
Explanation :

Answer: A) 20 Explanation: Numbers of students in section A = x ∴ Numbers of students in section B and C = (100 – x) ∴ x 70 + (100 – x) 87.5 = 84 100 => 70x + 87.5 100 – 87.5x = 8400 => 8750 – 17.5x = 8400 => 17.5x = 8750 – 8400 => x = 20.

Q: Which of the following contributed to the failure of prohibition? 4249 0

  • 1
    it was not imposed strictly on immigrants
    Correct
    Wrong
  • 2
    many americans didnt consider drinking to be a crime
    Correct
    Wrong
  • 3
    it adversely affected american productivity
    Correct
    Wrong
  • 4
    organized crime controlled illegal alcohol production
    Correct
    Wrong
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Answer : 4. "organized crime controlled illegal alcohol production"
Explanation :

Answer: D) organized crime controlled illegal alcohol production Explanation: Crime connected with illegal alcohol production and sale became a major issue so that even many people who had originally supported Prohibition decided that it needed to be repealed.

Q: One reason the skeletal system is important is because 4246 0

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    the skeletal system creates the connective tissue and tendons that allow the body to move
    Correct
    Wrong
  • 2
    the skeletal system is responsible for controlling functions of the entire body
    Correct
    Wrong
  • 3
    without the skeletal system, an individual would not have enough calcium to live
    Correct
    Wrong
  • 4
    the skeletal system is solely responsible for housing the body's immune system
    Correct
    Wrong
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Answer : 1. "the skeletal system creates the connective tissue and tendons that allow the body to move"
Explanation :

Answer: A) the skeletal system creates the connective tissue and tendons that allow the body to move Explanation: One reason the skeletal system is important is because the skeletal system creates the connective tissue and tendons that allow the body to move.

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Answer : 4. "Rs. 1,00,000"
Explanation :

Answer: D) Rs. 1,00,000 Explanation: Deepa invested Rs.50,000 for 12 months, Rs.(50000 + 20000) for 12 months and Rs.(50000 + 20000 + 20000) for 12 months.i.e, she invested Rs.50,000 for 12 months, Rs.70000 for 12 months and Rs.90000 for 12 months.Sushma invested Rs. 70000 for 2 years; i.e, Rs.70000 for 24 monthsAnd, Avanthi invested Rs.70000 for 1 year; i.e, Rs. 70000 for 12 months. Their investing ratio:Deepa : Sushma : Avanthi = (50,000 x 12 + 70000 x 12 + 90000 x 12):(70000 x 24):(70000 x 12)= (25,20,000):(16,80,000):(8,40,000) = 252:168:84 = 3:2:1 Total profit for 3 years = Rs.3,00,000Therefore, Sushma's share = Rs.(3,00,000 x 2 /(3+2+1)) = Rs.(3,00,000 x 2/6) = Rs.1,00,000.

Q: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price. 4237 0

  • 1
    6:31
    Correct
    Wrong
  • 2
    11:30
    Correct
    Wrong
  • 3
    7:30
    Correct
    Wrong
  • 4
    31:6
    Correct
    Wrong
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Answer : 3. "7:30"
Explanation :

Answer: C) 7:30 Explanation: Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.M.P. = (6/5) S.P.Since the percentage discount = Percentage profit,65S.P - S.P65S.P×100 = S.P -C.PC.P×100Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.PM.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.PTherefore, Ratio of discount to C.P= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30   Therefore, the ratio is 7 : 30

Q: Find the remainder when 1234 x 1235 x 1237 is divided by 8. 4232 0

  • 1
    4
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 4. "6"
Explanation :

Answer: D) 6 Explanation: When we divide 1234 by 8, remainder is 2 When we divide 1235 by 8, remainder is 3 When we divide 1237 by 8, remainder is 5 ---> 2 x 3 x 5 = 30  As 30 will not be the remainder because it is greater than 8, when 30 divided by 8, remainder = 6.

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