CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

Solution for Q14 plz.

Any shortcut?

Two equilateral triangles ABC and DEF overlapped to form a star. The figure is symmetric about the line AD. Let G and H be points of intersection of EF on line AB & AC respectively. Similarly I and J on line BC. If perimeter of tri AGH: tri DIJ : tri ABC: tri DEF =3:4:6:7. Find the ratio of overlapped region to the  total area.        

Q25 explain plz.

Approach for maximum value of (x^2-1)/(x^2+1)

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 A number PQRST (with distinct digits) in base 8 is subtracted from the number TSRQP in base 8 to get a new number m. What is the maximum possible value of m in base 8?  

SIMCAT 04 question... anyone solved it?


Need explaination

 An intresting question!!!


100 people standing in a circle in an order 1 to 100. A sword is given to the person on the 1st position who kills the 2nd person and hands the sword to the 3rd person who kills the 4th person and so on. What would be the position of the survivor?


[ try for smallest approach! ] 

how many ordered pairs of integers (x,y) satisfy the equation 3/x - 11/y =1/4


please generalise the approach if possible 

Full approach plz

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Q 58 with explanation plz

Need explaination

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In a four-cylinder engine there are four spark plugs. If any one of them malfunctions, the car will

idle roughly and power will be lost. Suppose that for a certain brand of spark plugs the probability

that a spark plug will function properly after 5,000 miles is .90. Assuming that the spark plugs

operate independently, what is the probability that the car will idle roughly after 5,000 miles?

How to solve ? Ans.-  0.3439   

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