**Q.1)** What is the simplified value of (cosec^4 A – cot^2 A) – (cot^4 A + cosec^2 A)?

1) 0

2) 5

3) 6

4) 9

**Q.2)** A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what percent of material is wasted?

1) 48.5

2) 37.5

3) 57.8

4) 64

**Q.3)** If two successive discounts of 20% and 30% are given, then what is the net discount (in %)?

1) 40

2) 44

3) 56

4) 60

**Q.4)** In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?

1) 2 : 1

2) 2 : 3

3) 5 : 2

4) 3 : 7

**Q.5)** Average of 11 numbers is 7. If every number is doubled, then what will be the new average of the numbers?

1) 3.5

2) 7

3) 10.5

4) 14

**Q.6)** A trader sold an article at profit of 20%. Had he bought that article at 60% less price and sold it at Rs 90 less, then he would have gained 50%. What is the value (in Rs) of cost price?

1) 150

2) 200

3) 250

4) 300

**Q.7)** Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he is having Rs 12800 now, then what is the income (in Rs) of Amit ?

1) 18000

2) 20000

3) 24000

4) 32000

**Q.8) ** Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?

1) 235

2) 338. 4

3) 470

4) 940

**Q.9)** A certain sum of money amounts to Rs 918 in 2 years and Rs 969 in 3.5 years at simple interest. What is the rate of interest (in %)?

1) 4

2) 5

3) 6

4) 8

**Q.10)** If 4^(x+y) = 256 and (256)^(x-y) = 4, then what is the value of x and y?

1) 17/8, 15/8

2) 17/4, 15/4

3) 9/17, 15/17

4) 8/17, 8/15