let number of boys and girls = 600 and 400 respectively Non degree holders boys = 60% *600 = 360 Non degree holders girls = 50% * 400 =200 Thus % = 560/1000 * 100 56%

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(X-Y)2 = X2+ Y2-2XY 9 = 89-2XY XY = 40 Y = 40/X X-Y = 3 (given) X- (40/X) = 3 X2 - 40 = 3X X2-40-3X = 0 X = -5 or 8 Hence -5 is in option

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N(A) + N(B) – N(A B) = N(T) 73+62 - N(A B) = 100 Thus we get N(A B) = 35% Thus 200*35% = 70

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A B C TW

Time 20 30 15 60

Eff 3 2 4

In the first minute 3 and in 2nd minute 2 , thus in 2 minutes 5 work will be done

But in 3rd minute = -4 work will be done

Effective positive work = 5-4 = 1

Thus to do 55 work , time taken will be = 55*3 = 165

And in 166th minute 3 more work will be done

And in 167th minute 2 more work will be done

Thus total time = 167 minutes and total work = 55+3+2 = 60

As we know product of two nos.=their H.C.F*L.C.M So,x*y=135*9=1215 and x^2+y^2=2754 So,(x+y)^2=x^2+y^2+2*x*y =2754+2*1215=5184 So,x+y=72 Now on solving,the nos. are 45 and 27

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