**Q1. The price of an antique is reduced by 20% and then this price is again reduced by 10%. The total reduction of the price ( in terms of percentage ) is **

(a) 30%

(b) 28%

(c) 25%

(d) 23%

**S1. Ans.(b)**

**Sol.** Le the price of antique = 100 x

Reduced price = 100x×80/100×90/100

= 72x

Total reduction in price =(100x -72x)/100x

=28/100=28%

**Q2. In a partnership business, B’s capital was half of A’s. If after 8 months, B withdraws half of his capital and after 2 months more A withdrew 1/4th of his capital, then the profit ratio of A and B will be **

(a) 10 : 23

(b) 23 : 10

(c) 5 : 2

(d) 2 : 5

**S2. Ans.(b)**

**Sol.**Let capital of A at the starting = 2x

** Q6. The distance between 2 places R and S is 42 km. Anita starts from R with a uniform speed of 4 km/h towards S and at the same time Romita starts from S towards R also with a uniform speed. They meet each other after 6 hours. The speed of Romita is**

(a) 6 km/hour

(b) 8 km/hour

(c) 3 km/hour

(d) 20 km/hour

**Q7. In a right angled triangle ∆PQR, PR is the hypotenuse of length 20 cm, ∠PRQ = 30°, the area of the triangle is **

(a) 100√3 cm^2

(b) 100/√3 cm^2

(c) 50√3 cm^2

(d) 25 √3 cm^2

**Q8. The outer and inner diameter of a circular path be 728 m and 700 m respectively. They breadth of the path is **

(a) 28 m

(b) 20 m

(c) 7 m

(d) 14 m

**S8. Ans.(d)**

**Sol.**Radius of the outer circle =728/2 = 364 m

**Q12. The sum of the H.C.F and L.C.M. of two numbers is 680 and the L.C.M. is 84 times the H.C.F. if one of the numbers is 56, the other is: **

(a) 96

(b) 48

(c) 92

(d)46

**S12. Ans.(a)**

**Sol.**h + l = 680 and l = 84 h

**Q15. The average of three numbers is 135. The largest number is 180 and the difference of the other numbers is 25. The smallest number is**

**S15. Ans.(d)**

**Sol.**Let the numbers be X, Y and Z