1. X varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to

3
9
1/3
1/9

2. A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2: 3. What is B's contribution in the Capital?

Rs. 7500
Rs. 8000
Rs. 8500
Rs. 9000

3. Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

7 hours 30 minutes
8 hours
8 hours 15 minutes
8 hours 25 minutes

4. A thief steals a car at 2.30 p.m and drives it at 60 kmph. The theft is discovered at 3 p.m and the owner sets off in another car at 75 kmph. When will be overtaking the thief.

4.30 p.m
4.45 p.m
5 p.m
5.15 p.m

5. Two trains starting at the same time from two stations 200 km apart, and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds?

9: 20
11: 9
11: 20
None of these

6. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

30%
70%
100%
250%

7. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:

173 m
200 m
273 m
300 m

8. If one-third of one-fourth of a number is 15, then three-tenth of that number is:

35
36
45
54

9. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

20
30
40
50

10. Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

3
10
17
20

11. A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

29
37
42
54

12. A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

5.15 kmph
4.14 kmph
4.25 kmph
4.4 kmph

13. If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 =?

0.172
1.72
17.2
172

14. The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?

2010
2011
2012
2013

15. Present ages of Sameer and Anand are in the ratio of 5: 4 respectively. Three years hence, the ratio of their ages will become 11: 9 respectively. What is Anand's present age in years?

24
27
26
25

16. A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?

Rs. 9025.20
Rs. 9200
Rs. 9600
Rs. 9560

17. At 3.40, the hour hand and the minute hand of a clock form an angle of:

120º
125º
130º
135º

18. The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

Rs. 3500
Rs. 3750
Rs. 3840
Rs. 3900

19. The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?

Rs. 2200
Rs. 2400
Rs. 2800
Rs.2600

20. A and B invest in a business in the ratio 3: 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

Rs. 1425
Rs. 1500
Rs. 1537.50
Rs. 1576