CAT Practice Question and Answer
8Q: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1433 05b5cc761e4d2b4197774fd4e
5b5cc761e4d2b4197774fd4e- 11:2:3false
- 23:2:4true
- 34:3:2false
- 42:3:4false
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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 05b5cc761e4d2b4197774fd44
5b5cc761e4d2b4197774fd44- 188true
- 296false
- 3108false
- 4121false
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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 05b5cc761e4d2b4197774fd3e
5b5cc761e4d2b4197774fd3e- Show AnswerHide Answer
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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 05b5cc761e4d2b4197774fd39
5b5cc761e4d2b4197774fd39- 15false
- 24false
- 320true
- 428false
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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 05b5cc761e4d2b4197774fd3f
5b5cc761e4d2b4197774fd3f- 1Rs. 5422false
- 2Rs. 10,500true
- 3Rs. 12,800false
- 4Rs. 15,000false
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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 05b5cc761e4d2b4197774fd2f
5b5cc761e4d2b4197774fd2f- 1Daughter-in-lawtrue
- 2Sisterfalse
- 3Cousinfalse
- 4Sister-in-lawfalse
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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.
Q: A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.Two faces measuring 4 cm x 1 cm are coloured in black.Two faces measuring 6 cm x 1 cm are coloured in red.Two faces measuring 6 cm x 4 cm are coloured in green.The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side). How many cubes will have green colour on two sides and rest of the four sides having no colour ? 7307 05b5cc761e4d2b4197774fd34
5b5cc761e4d2b4197774fd34- 18true
- 224false
- 316false
- 44false
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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 05b5cc761e4d2b4197774fd2a
5b5cc761e4d2b4197774fd2a- 16 : 8 : 9false
- 28 : 6 : 9false
- 39 : 8 : 6true
- 46 : 5 : 4false
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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