CAT Practice Question and Answer

Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of  a - n + k ? 2055 0

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

Answer: C) 5 Explanation: (3x + 2) (2x - 5) = ax2+kx+n ...............(1)   But (3x + 2)(2x - 5) = 6x2-11x-10........(2)   so by comparing (1) & (2),   we get a= 6, k= -11 , n= -10   (a - n + k) = 6 + 10 - 11 = 5.

Q: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%   ? 2055 0

  • 1
    30 %
    Correct
    Wrong
  • 2
    25 %
    Correct
    Wrong
  • 3
    15 %
    Correct
    Wrong
  • 4
    20 %
    Correct
    Wrong
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Answer : 4. "20 %"
Explanation :

Answer: D) 20 % Explanation: SP2 = 2/3 SP1CP = 100SP2 = 802/3 SP1 = 80 SP1 = 120100 --- 20   => 20%

Q: " One Earth ” is the name of the corporate headquarters of which firm ? 2055 0

  • 1
    Tata Consultancy Services
    Correct
    Wrong
  • 2
    Suzlon Energy
    Correct
    Wrong
  • 3
    Power grid Corporation of India Ltd
    Correct
    Wrong
  • 4
    Wipro
    Correct
    Wrong
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Answer : 2. "Suzlon Energy"
Explanation :

Answer: B) Suzlon Energy Explanation: Suzlon energy has its corporate headquarter in Pune, Maharashtra with the name of “One Earth”. Spread over 10 acres of land, the structure is completely powered by renewable energy. One Earth has been certified as the LEED (Leadership in Energy and Environment Design) Platinum building. Suzlon is largest wind turbine manufacturer in India and third largest in world.

Q: Which Temple has been named as the cleanest iconic place in India under the 'Swachhata Hi Seva' Programme ? 2054 0

  • 1
    Vaishno Devi Temple
    Correct
    Wrong
  • 2
    Tirupathi Temple
    Correct
    Wrong
  • 3
    Golden Temple
    Correct
    Wrong
  • 4
    Meenakshi Temple
    Correct
    Wrong
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Answer : 4. "Meenakshi Temple"
Explanation :

Answer: D) Meenakshi Temple Explanation: The Meenakshi Temple in Tamil Nadu's Madurai has been named the cleanest iconic place in India under the 'Swachhata Hi Seva' programme.

Q: Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book? 2053 0

  • 1
    58
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    55
    Correct
    Wrong
  • 4
    45
    Correct
    Wrong
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Answer : 2. "60"
Explanation :

Answer: B) 60 Explanation: -5-----------------------5-------------------20 5-(-5) = 10 20-5= 15 Ratio of cost price of book1 and book2 = 3:2  Then cost price of book 1 is given by (3/5) x 100 = Rs. 60.

Q: In a Certain Country 1/2 of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ? 2051 0

  • 1
    4
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 1. "4"
Explanation :

Answer: A) 4 Explanation: Let 1310 = x  => 3x = 10   Given that 125=3   Therefore, 52x = 10    => x = 10/3 = 4.

Q: What has One Eye Yet cannot See? 2047 0

  • 1
    One-eyed Jack
    Correct
    Wrong
  • 2
    A Needle
    Correct
    Wrong
  • 3
    Blind Justice
    Correct
    Wrong
  • 4
    Hurricane eye
    Correct
    Wrong
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Answer : 2. "A Needle"
Explanation :

Answer: B) A Needle Explanation: What has one eye yet cannot see is An Eye of a Needle.   A needle has an eye through which we thread it but it is not for seeing.

Q: A letter is takenout at random from 'ASSISTANT'  and another is taken out from 'STATISTICS'. The probability that they are the same letter is : 2047 0

  • 1
    35/96
    Correct
    Wrong
  • 2
    19/90
    Correct
    Wrong
  • 3
    19/96
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "19/90"
Explanation :

Answer: B) 19/90 Explanation: ASSISTANT→AAINSSSTT STATISTICS→ACIISSSTTT Here N and C are not common and same letters can be A, I, S, T. Therefore  Probability of choosing A =  2C19C1×1C110C1 = 1/45   Probability of choosing I = 19C1×2C110C1 = 1/45 Probability of choosing S = 3C19C1×3C110C1 = 1/10 Probability of choosing T = 2C19C1×3C110C1 = 1/15 Hence, Required probability =   145+145+110+115= 1990

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