CAT Quantitative Aptitude Questions 2022 – 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. 

(111111....64 terms)*(222222...55 terms) when divided by 18 leaves behind remainder ? Please explain in detail.

explain ;


Milk and water are mixed in a vessel A in a vessel A in the proportion 7: 4 and in vessel B in the proportion of 9 : 7 . In what proportion should the quantities be taken from the two vessels so as to make a mixture in which milk and water will be in the proportion of 8: 5 ?


my answer is 11 / 208 : 3 / 143  but answer given is 143 : 54 .


solve please

 

solve in detail


The ratio of work done by 25 women to work done by 20 men in the same time is 4 :5 . If 8 men and 10 women can finish the work in 5 days then how many women can finish the work in 3 days?


ans 37.5 

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Can anyone solve this please

Twenty taps, numbered from 1 to 20, are fitted to a tank. On the xth day, for all x, where 1 ≤ x ≤ 20, the taps numbered from x to 20 are opened for x minutes. The tank is filled in 20 days. The capacity of the tank is C litres. Find C, if the xth tap (for all x), fills the tank at x litres/minute.

 

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If product u is not sold through outlets b and f, the what is the maximum number of products that can be sole entirely through single outlets? Someone please explain this to me

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5 persons can complete certain distance in 20;25;30;35&40 min. Respectively . They have a bike which can complete the distance In 5 min. At a time only one person can travel by bike.find the minimum time required to complete the distance. 1)42.20 min 2)48.20 min 3)52.20 min 4)60.20 min

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Ok, this stems a bit from the basics...

How do you find the value of 1.66/1.33 ? 

One method is to convert it into fractions

(10/6) / (4/3) = (10/6) X (3/4) = 1.25

Is there a faster method ?

Like for DI, we would have calculations like 28.33/33.33

Any direct method to solve without using the fraction method ?

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