CAT Questions

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Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.

Natural Rubber is a Polymer derived from Isoprene. 

• Natural rubber is an addition polymer that is obtained as a milky white fluid known as Latex from a Tropical Rubber Tree.

Let the number be 'N'
Given N + 30N/100 = 390
=> 130N/100 = 390
=> N = 390 x 10/13
=> N = 300.

P.W. = 100×T.DR×T = 100×16814×2 = 600.

Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.

Given length of iron rod =7 mts and  and diameter of rod = 2 cms 

=> r = 1/100 mts

Therefore,  Volume of one rod = πr2h cu. m =  227×11002×7cu. m = 115000 cu. m

Given volume of iron = 0.88 cu. m 

Therefore, Number of rods = 0.88×500011 = 400.

PSRQ --> {16, 19, 18, 17} - next 3 alphabets of "P" is written in reverse order
SVUT --> {19, 22, 21, 20} - next 3 alphabets of "S" is written in reverse order

MNPO --> {13, 14, 16, 15}

KNML --> {11, 14, 13, 12} - next 3 alphabets of "K" is written in reverse order

Except "MNPO", others are not in consecutive order.

Now, Total work = LCM(16, 8) = 48

A's one day work = + 48/16 = + 3

B's one day work = - 48/8 = -6

Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15

2days B joined with A in working = 2(3 - 6) = - 6

Remaining Work of building wall = 48 - (15 - 6) = 39

Now this remaining work will be done by A in = 39/3 = 13 days.