CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

 Laxmi and Parvati run a race around a circular track of radius 126 m. They start from the same point. Both of them come together at the same point after 47.52 minutes. Then, Parvati increases her speed and overtakes Laxmi after another 47.52 minutes. If by then Laxmi has completed 10 rounds around the circular track, find the initial speed of Parvati. 

a. 25/18 m/s

b. 20.18 m/s

c. 23/15 m/s

d. 60/21 m/s

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The number of days taken by A and B together to complete a piece of work is the ratio of 6. When you sum up the no of days taken by A and B separately u will end up in a 2 digit prime no. What's the no of days taken by them to do the work together? Ans-- 12 Provide detail sol.

Sol ??

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Mrinalini and Neha travel to Connaught place along two straight roads with constant speeds. At the initial moment, the positions of Mrinalini, Neha and Connaught place form a right triangle. After Mrinalini travelled 30 km, the triangle becomes equilateral. Find the distance between Mrinalini and Neha at the initial moment if at the time Mrinalini arrived at Connaught place, Neha had to cover 6.66 km to reach Connaught place. Detailed solution please

Arnab takes a loan of 8000 at simple interest. After 4 years he takes additional loan of 14440. From that point, compound interest at 10% p.a is calculated on the total amount repayable on his 1st loan as well as the 2nd loan. He repays a total of 30250 after 2 more years to clear the entire loan amount. What is the annual rate of simple interest? Ans is given as 8%

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A and B start swimming simultaneously from opposite ends i.e Deep end & shallow end of a swimming pool with speeds 5m/s and 2 m/s.. They swim and after reaching opposite ends , they change the directions and continue swimming with their respective uniform speeds..when they meet for the 8th time , they meet at a distance of 10meters from the shallow end a) if the race is of the 200 rounds , how many times will they meet. b) Find the length of the swimming pool.

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Printing of a book depends on two factors fixed price and variable price which depends on number of books printing. Publisher want to earn profit of 25% and according to him 500 copies of book of Rs 2 in 3 month and 1000 copies in 9 month. If he prints 4830 copies which will sell out in 50 month then what will be his profit? Ans- 1610

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Someone please help. How to proceed after finding inradius? Stuck there. Ans is 3200

Ashish and Bali run towards each other from P and Q with respective speeds of 36kmph and 45kmph. After meeting each other if Ashish reaches Q in 5 hours, in how many hours does Bali reach P?

Solution