CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

Smita went from Delhi to Simla via Chandigarh by car. The distance from Delhi to Chandigarh is 3/4th the distance from Chandigarh to Simla. The average speed from Delhi to Chandigarh was half as much again as that from Chandigarh to Simla. The average speed for the entire journey was 49 kmph. What was the average speed from Chandigarh to Simla?

Two cars A and B race on a track of length z km at average speeds of x kmph and y kmph, respectively. Car A takes two breaks of duration x/10 hours each while car B takes two breaks of duration y/8 hours each. If car A finishes 10 minutes after car B, then z can be:

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The ratio of S.Price of 3 articles A,B and C is 8:9:5 and the ratio of percentage profit is 8:7:14 respectively. If the profit percentage of A is 14.28% and C.Price of B is Rs 400,what is overall percentage gain?

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coefficient of x^18 in the expansion (x+x^2+...+x^6)^4

can anyone solve this venn diagram...

Can someone please tell me which classroom program and mocks are better ? TIME or CL ? I am preparing for CAT 2018.

A container is filled with the mixture of mild and water. The ratio of milk and water is same. Bobby and Sunny increases the concentration to 60% Bobby makes it by addiing the milkand Sunny makes it by replacing the mixture with milk.What is the percentage of milk added by Bobby to that of milk replaced by Sunny:

Sandeep purchased some lemons, out of which only 75% were sold. He sold 8 lemons for Rs. 7 and earned 40% profit. What should be selling price to have a profit of 50% (assume that this time all the lemons purchased would be sold)?  . (a) 64 lemons for Rs. 45  (b) 4 lemons of Rs. 3 (c) 55 lemons for Rs. 37  (d) 65 lemons of Rs. 37

Im GEM. My acads are- X/XII/grad- 86/82/65 resp. If I write cat 2018 and score very decent. Then what are the chances that I will get calls from IIM-A,B,C,L,K,I considering my acads. Please reply. It's important.

Solution

A takes 40 seconds to walk up an escalator which is moving upwards but he takes 60 seconds to walk up on an escalator which is moving downwards. How much time will he take up to walk up if escalator is not moving. Pls explain with solution

how many ordered triplets(a,b,c) exist s.t lcm(a,b)=1000, lcm(b,c)=2000,lcm(c,a)=2000 and hcf(a,b)=k*125?


Q> If 4 whole numbers are taken at random and multiplied together, what's the chance the last digit in the product is 1,3,5,7 or 9?

a> 15/653  b> 12/542  c> 16/625  d> 17/625

Solution please!!!

N = (18n2 + 9n + 8)/n; where N belongs to integer. How many integral solutions of N are possible? In solving this how can one decide that 18n+9 will always give an integer...why are we assuming that small n is also an integer...??

15 teams participated in a tournament where each team played a match against

every other team.For each win a team is awarded 2 points, for each loss 0 points

and for each draw 1 point is awarded to both the teams.All the teams obtained a

different score and the team with the lowest score got exactly 7 points.

What was the score of the team that got the third highest score?

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