CAT Practice Question and Answer

Q: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1433 0

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

Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.

Q: There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital? 1525 0

  • 1
    88
    Correct
    Wrong
  • 2
    96
    Correct
    Wrong
  • 3
    108
    Correct
    Wrong
  • 4
    121
    Correct
    Wrong
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Answer : 1. "88"
Explanation :

Answer: A) 88 Explanation: Given,The ratio of the doctors to the nurses is 11 : 8Number of nurses = 8/19 x 209 = 88.

Q: If you had the chance to start your career over again, what would you do differently ? 916 0

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Answer :
Explanation :

This depends on several factors. Different Individuals have different answers for it.You can answer as - " I will most likely be involved in a different but still related career path; something to do with the creative side. If I were to start over I would attempt to get myself to specialize in one area as a young man. It’s very interesting to follow one’s interests all at the same time, but you don’t get anywhere very quickly this way. By pursuing lots of interests all at the same time, it takes a long, long time to acquire professional level skills."

Q: If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ? 1735 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    20
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 3. "20"
Explanation :

Answer: C) 20 Explanation: Given (2a + 3b)/(5a - 3b) = 23/5 => 10a + 15b = 115a - 69b=> 105a = 84b => 5a = 4b a/b = 4/5 => a=4 & b=5=> bxa = 5x4 = 20.

Q: On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ? 1334 0

  • 1
    Rs. 5422
    Correct
    Wrong
  • 2
    Rs. 10,500
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 15,000
    Correct
    Wrong
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Answer : 2. "Rs. 10,500"
Explanation :

Answer: B) Rs. 10,500 Explanation: The ratio of distribution should be: 21 x 15 : 15 x 35 : 35 x 21= 315 : 525 : 735 = 3 : 5 : 7The smallest share will be of worth: 3/15 x 52,500 = Rs. 10,500

Q: P’s son Q is married with R whose sister S is married to T the brother of Q. How S is related to P ? 1436 0

  • 1
    Daughter-in-law
    Correct
    Wrong
  • 2
    Sister
    Correct
    Wrong
  • 3
    Cousin
    Correct
    Wrong
  • 4
    Sister-in-law
    Correct
    Wrong
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Answer : 1. "Daughter-in-law"
Explanation :

Answer: A) Daughter-in-law Explanation: Since T is the brother of QTherefore, P is the father of Tbut S is the wife of T.Hence, S is the daughter-in-law of P.

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Answer : 1. "8"
Explanation :

Answer: A) 8 Explanation: There are 16 small cubes attached to the outer walls of the cuboid.Therefore remaining inner small cubes will be the cubes having two sides green coloured.So the required number = 24 - 16 = 8

Q: Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ? 1442 0

  • 1
    6 : 8 : 9
    Correct
    Wrong
  • 2
    8 : 6 : 9
    Correct
    Wrong
  • 3
    9 : 8 : 6
    Correct
    Wrong
  • 4
    6 : 5 : 4
    Correct
    Wrong
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Answer : 3. "9 : 8 : 6"
Explanation :

Answer: C) 9 : 8 : 6 Explanation: Given the salaries are in the ratio of 4 : 5 : 6   Now the salaries are increased by 50%, 60% and 50% respectively   The New ratio of salaries will be   4 x (150/100) : 5 x (160/100) : 6 x (150/100)   = 6 : 8 : 9   The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6

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