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Question.1:if there is men and women in a factry are in 3:2 then find the num ov men if total workers are 255.Solution:As Total of ratios =3+2=5Num of Men= 3*255/5=153Question.2:if x=-1 and y=2 then find the value of (x-y)/ySolution:X-y/y= -1-(2)/2=-3/2Question.3:if the ratio of boys and girls in a school is 5:2 then find the num ov girls if the total num ov students are 350.Solution:Total of ratios=2+5=7Num of Girls=2*350/7=100Question.4:if x+2/17=16 than x+6/19=???Solution:x+2/17=16X+2=272X+6=276X+6/19=14.5Question.5:find volume of cube if a=250Solution:As volume of Cube=a^3250^3=15625kQuestion.6:Find the length of diagonal of a cube with side a = 1Solution:d = 1 + 1d = 2Space diagonal = d1 say(d1) = d + x(d1) = 2 + 1(d1) = 3d1 = 3

Question.7:Find the volume a cube with surface area 150 Solution:As 6*a^2=150a^2=25a=5So Volume= a^3=5^3=125

Question.8:If a^2+b^2 = 36 and (a+b)^2 = 64 , find abSolution:As a^2+b^2+2ab=64So 2ab=64-362ab=28Hence ab=14Question.9:If 5(3x-7) = 20, What is the value of 3x-8? Solution:As 3x-7=4So 3x-8=3Question.10:If 5x + 3y = 20 and 3x + 5y = 20, What is A.M of x and y? Solution:Given equ as 15x+9y=60.i15x+25y=100.ii Solving equ 16y=40=2.5 x=2.6A.M= x+y/2=2.55Question.11:If 25.5% of 220 is 6.5% of a, What is a? Solution:As 25.5% of 220= 255*220/100=56.156.1= 6.5% of aa= 56.1*100/6.5=865Question.12:2^n=32 then n^2 is? Solution:2^n=322^n=2^5n=5So n^2=25Question.13:find mode 2,2,2,4,4,4,1,0,3,4Solution:Put them in order0,1,2,2,2,3,4,4,4,4As4 appears most soMode is 4Question.14:if sides of a triangle are in ratio 1:2:3 and sum of all is 60 . what is the length of largest side ??Solution:60/6=10Largest side=10*3=30Question.15:find zakat on 90,000rpSolution:As 2.5% of 90,000=2250Question.16:subtract 3p^2-10p+7 from 5p^2+4p-2Solution:2p^2+14p-9

Question.17:27^4a-10 * 3^4a+2 = 81find value of a.Solution:3^12a-30*3^4a+2=813^16a-28=3^4So 16a-28=416a=32And a=2Question.18:if vertices of triangle areA(2,4) B(3,4) C(4,1) what will b the area of the triangleSolution:

Area=I 6-9/2 I=3/2

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