Quant thread for cat 2018

If number of workers increased by 50 percent and efficiency of the new workers is 40 less than previous ones. Find the percentage change in total work.

Both x^2+16x-q=0 and x^2-11qx+25=0 have real roots. Find the number of positive integral solutions for x.

a)39 b)70 c)60 d)64

process please.

If |x-4| + |y-4| = 4 ,then how many integer values can set (x,y) have?

- 5
- 16
- 9
- Infinite

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In q. 7 i took proportion to be 3 : 6 :: 1 : 2. I am not getting the correct answer can any one tell me where i am going wrong ? Thanks in advance :)

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Plz give me the details solution Thank you!!

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In how many ways can 4 parrots be put in 4 cages, each meant for a particular parrot, such that none of the parrot goes in it's own cage?

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