1.  If x:y =3:4 find (4x+5y) : (5x-2y)


32/7
34/5
36/3
33/7


Answer

 Option

x/y = 3/4 => 4x+5y/5x-2y = 4(x/y) + 5/5(x/y)/-2 = (4*3/4+5) / (5*3/4)-2 = (3+5) / (7/4) = 32/7

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2.  The average age of three boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?


21 years
18 years
15 years
9 years


Answer

 Option

Total age of 3 boys = (25*3) years = 75 years. Ratio of their ages = 3:5:7. Age of the youngest =(75*3/15) years = 15 years.

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3.  Two whole numbers whose sum is 72 cannot be in the ratio:


5:7
3:5
3:4
4:5


Answer

 Option

The sum of the ratio terms must divide 72. So the ratio can not be 3:4

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4.  Divide rs.672 in the ratio 5:3


Rs.255
Rs.200
Rs.252
Rs.300


Answer

 Option

Sum of ration of terms =(5+3) = 8 First part = Rs.(672*5/8) = Rs.420; Second part = Rs.(672*3/8) = Rs.252;

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5.  Divide Rs.1162 among A,B,C in the ratio 35:28:20.What is the share of C?


Rs.278
Rs.280
Rs.255
Rs.250


Answer

 Option

Sum of ratio terms = (35+28+20) = 83 A's share= rs.(1162*35/83) = Rs.490; B's share =rs.(1162*28/83) = Rs.392; C's share =rs.(1162*20/83) = Rs.280

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