CAT Practice Question and Answer

Q: If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 126 km downstream. 2002 0

  • 1
    2.8 hrs
    Correct
    Wrong
  • 2
    2.7 hrs
    Correct
    Wrong
  • 3
    2.6 hrs
    Correct
    Wrong
  • 4
    2.5 hrs
    Correct
    Wrong
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Answer : 2. "2.7 hrs"
Explanation :

Answer: B) 2.7 hrs Explanation: Let Speed of boat in still water = b Let Speed of still water = w Then we know that, Speed of Upstream = U = boat - water Speed of Downstream = D = boat + water Given, U + D = 82 b - w + b + w = 82 2b = 82 => b = 41 kmph From the given data, 41 - w = 105/3 = 35 w = 6 kmph Now, b + w = 126/t => 41 + 6 = 126/t => t = 126/47  = 2.68 hrs.

Q: The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is : 1670 0

  • 1
    Rs. 3680
    Correct
    Wrong
  • 2
    Rs. 2650
    Correct
    Wrong
  • 3
    Rs. 1400
    Correct
    Wrong
  • 4
    Rs. 1170
    Correct
    Wrong
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Answer : 3. "Rs. 1400"
Explanation :

Answer: C) Rs. 1400 Explanation: We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by C.In - S.In = PR100n Here n = 2 years, R = 20%, C.I - S.I = 56 56 = P201002=> P = 56 x 52=> P = 56 x 25=> P = Rs. 1400

Q: What are the Monomers that make up Proteins? 1287 0

  • 1
    Amino acids
    Correct
    Wrong
  • 2
    Nucleotides
    Correct
    Wrong
  • 3
    Disaccharides
    Correct
    Wrong
  • 4
    Chaperones
    Correct
    Wrong
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Answer : 1. "Amino acids"
Explanation :

Answer: A) Amino acids Explanation: Proteins are long chains of Amino acids. That is in brief, Amino acids are the monomers of Proteins. Amino acids are compounds which contain both an amino group and a carboxylic group. Proteins are made up of 20 essential amino acids. Monomer means a small molecule of an organic substance i.e, building block in general.

Q: Find the missing number? 15, 30, ? , 40, 8, 48 6978 0

  • 1
    21
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    19
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 4. "10"
Explanation :

Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48  Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.

Q: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1683 1

  • 1
    3924
    Correct
    Wrong
  • 2
    1962
    Correct
    Wrong
  • 3
    1684
    Correct
    Wrong
  • 4
    1452
    Correct
    Wrong
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Answer : 2. "1962"
Explanation :

Answer: B) 1962 Explanation: Arithmetic Series ::   An Arithmetic Series is a series of numbers in which each term increases by a constant amount.   How to find the sum of the Arithmetic Sequence or Series for the given Series ::   When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.   That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term   Here Last term is given by an = a1 + n-1d where d = common difference   Now given Arithmetic Series is    2, 5, 8, 11,...   Here a1 = 2,  d = 3, n = 36    Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107    Now, Sum to 36 terms is given by   S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962       Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Q: A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is 1415 0

  • 1
    1 : 10
    Correct
    Wrong
  • 2
    10 : 1
    Correct
    Wrong
  • 3
    9 : 11
    Correct
    Wrong
  • 4
    11 : 9
    Correct
    Wrong
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Answer : 1. "1 : 10"
Explanation :

Answer: A) 1 : 10 Explanation: Customer ratio of Milk and Water is given by Milk          ::        Water   6.4                         0          81 + 38 =6411  6411                      6410 - 6411  => Milk : Water = 110 : 11 = 10 : 1   Therefore, the proportionate of Water to Milk for Customer is 1 : 10

Q: 1 Billion Seconds Equals to 1594 0

  • 1
    34.76 years
    Correct
    Wrong
  • 2
    32.48 years
    Correct
    Wrong
  • 3
    33.31 years
    Correct
    Wrong
  • 4
    31.68 years
    Correct
    Wrong
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Answer : 4. "31.68 years"
Explanation :

Answer: D) 31.68 years Explanation: We know that 1 year = 365.25 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds   => 1 Year = 365.25 x 24 x 60 x 60 Seconds But 1 billion seconds = ? 1 Year = 365.25 x 24 x 60 x 60 Seconds     ?     =  1000000000 Seconds   ? = 1000000000365.25 x 24 x 60 x 60 years = 31. 68 years.

Q: What is Black, when Clean and White, when Dirty? 1720 0

  • 1
    Shoes
    Correct
    Wrong
  • 2
    Car
    Correct
    Wrong
  • 3
    Chalkboard
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "Chalkboard"
Explanation :

Answer: C) Chalkboard Explanation: It is Blackboard or Chalkboard which is Black when clean, and as you write on it with white chalk it becomes dirty in White color.

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