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CAT Quotient 2017, Venn Diagram-1, the answer to Q-2 should be 32? Can someone solve?

The ratio of factorial of a number x to the square of factorial of another number which when increased by 50% gives the required number , is 1.25 . find the value of x.

'VOICE' is a common noun or abstract noun ?????

Please explain also

In a certain code LUDHIANA is coded as NGZNUAFM, then what is the code for KOLHAPUR in that code?
A) LLIFUKNE
B) ENKFUILL
C) EKNIFULI

Two friends A and B started from X and Y for Y and X respectively. They turned back after reaching their destinations and returned back to their starting points. When they met for the first time they were 15 km away from X and when they met for the second time travelling towards each other they were 10 km away from Y. Calculate the distance between X and Y (in km).

what is the remainder of 6^3 / 50 using the remainder theorm and the method of splitting the denominator into co- prime numbers 25 and 2 ? in general this method of splitting the denominator into co- prime numbers in order to find out the remainder actually works but not in all cases.it works in 107^1444 / 136.

The Average length of any 4 fingers of my left hand is 600 mm . Then the average length of all the five fingers of my left hand is : a) 800mm b) 850mm c) 750mm d) cant be determined

I don't have no idea about the quantitative aptitude basics n logical reasoning. i am weak in verbal ability
how can I improve those sections. ....
please suggested basics books

Total no of integral solutions of a^3+b^3+c^3=43655

how many integral values of x will satisfy the equation |x-3|+|2x+4|+|x|<=11