CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

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Bus leaves X for Y. After 2 hrs a car left for Y such that they both reach simultaneously. If the car and the bus had been approaching from opposite directions to Y & X respectively, they meet after 1.33 hrs. How much time did bus take to cover the distance XY

 Iqbal dealt some cards to Mushtaq and himself from a full pack of playing cards and laid the rest aside. Iqbal then said to Mushtaq. “If you give me a certain number of your cards, I will have four times as many cards as you will have. If I give you the same number of cards, I will have thrice as many cards as you will have “. Of the given choices, which could represent the number of cards with Iqbal? 

a. 9

b. 31

c. 12

d. 35

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Find the coefficient of x^15 in the product of(1-x)(1-2x)(1-2^2x)...(1-2^15x) ?

Is there any formula for such type of questions?

A & B are at the opposite ends of a 200m road. They start driving towards each other. The one who reachs the half way first wins the race, however they still continue in their respective directions even after the race is over. A won 1.33 seconds before meeting B along the way and B takes 6.66 seconds more than A to complete the entire journey. Find the speed of A

A takes 8 more days than b to finish a work . A and B start the work and B leaves 

 9 days before completion of th work. how lon would A alone take to complete the work ?

Let Tn=n(n!). Then summation of tn from n=1 to n=15 is equal to?

@vishiac ?

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In a race, Raja beats Sameer by 30 m and in the same race, Sameer beats Tarun by 45 m. If Raja is thrice as fast as Tarun, find the length of the race.

Qs.- If X is the set of all possible 2-digit prime numbers, how many Arithmetic Progressions (having positive common difference) with at least 4 elements can be formed using the elements of X? @vishiac

10 different balls are put into 3 boxes. What is the probability that the first box contain 3 balls? @vishiac

Solution

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 A takes 8 more days than b to finish a work . A and B start the work and B leaves 9 days before completion of the work. If A completes  75% of the work, how long would A alone take to complete the work ?

 

Solution please