Q.1 if X+Y=3 and Y/X=2 then Y is equal to

(a) 0 (b) 1/2 (c) 1 (d) 3/2 (e) 2

Solution

If Y/X = 2, Then Y=2X

Now put the value of Y in equation (i)

X+2X=3, 3X = 3, X = 1

Y/X = 2, Y/1 = 2 , Y = 2

Q.2 when 4 is subtracted from one half of an unknown number, it is equal to 6, the number is:
(a) 28 (b) 20 (c) 18 (d) 15 (e) 12

Solution
First of all v will make the equation, let say unknown number is X

X/2-4=6
X/2 = 10
X= 20

Q.3 if it is 250km from karachi to Nawabshah and 120km from karachi to Kotri, what percentage of distance from karachi to Nawabshah is the distance from karachi to Kotri?

(a) 12 (b) 24 (c) 36 (d) Rs. 48 (e) 52

Solution

Distance from Kchi to Nsbh 250 km
Distance from Kchi to Kotri 120 km

Distance Kchi to kotri/Kchi to Nshb * 100

120/250 * 100 = 48


Q.4 In a garment factory, a skilled worker can make 8 T-shirts in 18 minutes. at this rate, how many T-shirts can she make in 3 hours?

(a) 13 (b) 40.5 (c) 80 (d) 125 (e) 405

Solution

T Shirts Minutes

8 18

X 180

Relation of proportion is direct not inverse as increase in minutes will result in increase of T shirts hence

180 : 18 :: X : 8

18X = 180 x 8
X = 80