CAT Practice Question and Answer

Q: It costs Rs. p each to send the first thousand messsages and Rs. q to send each subsequent one . If r is greater than 1,000, how many Rupees will it cost to send r messages ? 2146 0

  • 1
    1000 (r - p) + pq
    Correct
    Wrong
  • 2
    1000 p + qr
    Correct
    Wrong
  • 3
    1000 (r - q) + pr
    Correct
    Wrong
  • 4
    1000(p - q) + qr
    Correct
    Wrong
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Answer : 4. "1000(p - q) + qr"
Explanation :

Answer: D) 1000(p - q) + qr Explanation: We need to find the total cost to send r messsages, r > 1000. The first 1000 messsages will cost Rs.p each (Or)  The total cost of first 1000 messsages = Rs.1000p The remaining (r - 1000) messsages will cost Rs.q each (Or) The cost of the (r - 1000) = Rs.(r - 1000)y   Therefore, total cost = 1000p + rq - 1000q = 1000(p - q) + qr

Q: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ? 2146 0

  • 1
    42 sec
    Correct
    Wrong
  • 2
    44 sec
    Correct
    Wrong
  • 3
    46 sec
    Correct
    Wrong
  • 4
    48 sec
    Correct
    Wrong
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Answer : 4. "48 sec"
Explanation :

Answer: D) 48 sec Explanation: Relative speed = 60 + 90 = 150 km/hr. = 150 x 5/18 = 125/3 m/sec. Distance covered = 1.10 + 0.9 = 2 km = 2000 m. Required time = 2000 x 3/125 = 48 sec.

Q: Choose what replaces '?' in the following figure ? 2145 0

  • 1
    Q
    Correct
    Wrong
  • 2
    O
    Correct
    Wrong
  • 3
    M
    Correct
    Wrong
  • 4
    N
    Correct
    Wrong
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Answer : 4. "N"
Explanation :

Answer: D) N Explanation: The alphabetical value of the letters in the left hand column follows through the sequence of Prime Numbers, with the letters in the right hand column representing the corresponding reverse alphabetical values. So, M = Reverse of M = N.

Q: If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ? 2144 0

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

Answer: D) 0 Explanation: Let assume the value of a,b &c that will satisfy the equation.so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1here all three cases satisfy the equationassume any one a=1,b=1,c= -1 Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

Q: What is the main function of international monetary fund  ? 2144 0

  • 1
    Help to solve Balance of Payment problems of member countries
    Correct
    Wrong
  • 2
    Act as private sector lending arm of the World Bank
    Correct
    Wrong
  • 3
    Finance investment loans to developing countries
    Correct
    Wrong
  • 4
    Arrange international deposits from banks
    Correct
    Wrong
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Answer : 1. "Help to solve Balance of Payment problems of member countries"
Explanation :

Answer: A) Help to solve Balance of Payment problems of member countries Explanation:

Q: Which gas is known as "Fuel of Future" ? 2144 0

  • 1
    Methane
    Correct
    Wrong
  • 2
    Oxygen
    Correct
    Wrong
  • 3
    Neon
    Correct
    Wrong
  • 4
    Hydrogen
    Correct
    Wrong
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Answer : 4. "Hydrogen"
Explanation :

Answer: D) Hydrogen Explanation: Because of its being pollution free and  combustion efficient, Hydrogen gas is  called fuel of future. Because of its origin in marshy places, Methane is called as 'Marsh Gas'.

Q: In how many ways the letters of the word OLIVER be arranged so that the vowels in the word always occur in the dictionary order as we move from left to right ? 2144 0

  • 1
    186
    Correct
    Wrong
  • 2
    144
    Correct
    Wrong
  • 3
    136
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 4. "120"
Explanation :

Answer: D) 120 Explanation: In given word OLIVER there are 3 vowels E, I & O. These can be arranged in only one way as dictionary order E, I & O.   There are 6 letters in thegiven word.   First arrange 3 vowels.   This can be done in 6C3 ways and that too in only one way.(dictionary order E, I & O)   Remaining 3 letters can be placed in 3 places = 3! ways   Total number of possible ways of arranging letters of OLIVER = 3! x C36 ways = 6x5x4 = 120 ways.

Q: The new product development process usually starts with 2143 0

  • 1
    idea generation
    Correct
    Wrong
  • 2
    market strategy development
    Correct
    Wrong
  • 3
    concept development
    Correct
    Wrong
  • 4
    idea screening
    Correct
    Wrong
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Answer : 1. "idea generation"
Explanation :

Answer: A) idea generation Explanation:

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