**Q1. The maximum value of 81^sinx . 27^cosx is**

(a) 81

(b) 243

(c) 27

(d) None of these

**Q2. If 29 tanθ=31 than the value of (1+2 sinθ.cosθ)/(1-2 sinθ.cosθ)**

(a) 810

(b) 900

(c) 300

(d) 540

**Q3. Two circles with centre A and B and radius 2 units touch each other externally at ‘C’. A third circle with centre ‘C’ and radius ‘2’ units meets other two at D and E. Then the area of the quadrilateral ABDE is**

(a) 2√2 sq. units

(b) 3√3 sq. units

(c) 3√2 sq. units

(d) 2√3 sq. units

**Q4. A shopkeeper earns a profit of 12% on selling a book at 10% discount on printed price. The ratio of the cost price to printed price of the book is**

(a) 45 : 56

(b) 50 : 61

(c) 90 : 974

(d) 99 : 125

**Q5. A dealer purchased a washing machine for Rs. 7,660. After allowing a discount of 12% on its marked price, he still gains 10%. Find the marked price of the washing machine.**

(a) Rs. 9,575

(b) Rs. 8,426

(c) Rs. 8,246

(d) Rs. 9,755

**Q6. A saleable article passes successively in the hands of three traders. Each trader sold it further at a gain of 25% of the cost price. If the last trader sold it for Rs. 250 then what was the cost price for the first trader?**

(a) Rs. 128

(b) Rs. 150

(c) Rs. 192

(d) Rs. 200

**Q7. Rs. 6,000 becomes Rs. 7,200 in 4 years. If the rate becomes 1.5 times of itself, the amount of the same principal in 5 years will be**

(a) Rs. 8,000

(b) Rs. 8,250

(c) Rs. 9,250

(d) Rs. 9,000

**Q8. Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is:-**

(a) 14 : 25

(b) 10 : 21

(c) 12 : 23

(d) 13 : 22

**Q9. Tom is chasing Jerry. In the same interval of time Tom jumps 8 times while Jerry jumps 6 times. But the distance covered by Tom in 7 jumps in equal to the distance covered by Jerry in 5 jumps. The ratio of speed of Tom and Jerry is**

(a) 48 : 35

(b) 28 : 15

(c) 24 : 20

(d) 20 : 21

**Q10. A labourer was appointed by a contractor on the condition he would be paid Rs. 75 for each day of his work but would be, fined at the rate of Rs. 15 per day for his absent. After 20 days, the contractor paid the labourer Rs. 1140. The number of days the labourer absented from work was**

(a) 3 days

(b) 5 days

(c) 4 days

(d) 2 days

**Solutions**

S1. Ans. (b)

Sol. 81^sinx. 27^cosx

3^(4 sinx ) × 3^(3 cosx )

3^(4 sinx + 3 cosx)

=3^√(4)^2+(3)^2 )

=3^5

= 243

S4. Ans.(a)

Sol. (C.P.)/(M.P.)=(100 – D)/(100 + P)

(C.P.)/(M.P.)=90/112

(C.P.)/(M.P.)=45/56