1.Which smallest number should be added to 6064 so that the sum is completely divisible by 24?
3.Find that smallest number which when divided by 5, 6, 8, 9 and 12 leaves 1 as remainder in each case but leaves no remainder when it is divided by 13.
4.Three pipes can fill a tank separately in 10 min, 20 min and 30 min respectively. An outlet pipe empties this tank in 15 min when the tank is empty, all pipes are opened together. In what time will the tank be full?
5. A, B and C are partners in business. A contributed one third of the total capital and B contributed half of the total contributed of A and C. There was a profit of Rs. 720 at the end of the year. What is the profit of A?
6.The average temperature of Monday to Thursday is 48°C and the average temperature from Tuesday to Friday is 52°C. If the temperature of Monday is 42°C, then what will be the temperature of Friday?
7.Ram borrowed a sum of Rs. 8000 from a bank. At the end of three years, he credited 3/4 of the principal to the bank and two years hence, he deposited Rs. 4000 to the bank to get himself free from loan. What was the rate of interest per annum?
8. After adding 15 litres of water to a mixture having ratio of milk and water 7 : 5 the ratio of milk and water becomes 7 : 8 in the new mixture. The total amount of water in the new mixture will be
9. A man takes 5hr 45min in walking to certain place and riding back. He would have gained 2hrs by riding both ways. The time he would take to walk both ways is?
10. A 280mlong train takes 20 sec to cross a person who is going in the same direction with the speed of 6 km/h. After crossing that person, the train can reach next station in 45 min. How long will that person take to reach the station after being crossed by train?
Directions (Q1113) These questions are based on the following information regarding the price changes that a certain pharmaceutical company is considering for its products.
Product

Existing Price (Rs.)

Revised Price (Rs.)

Antacid

1.50

2.50

AntiHypertensive

12.00

14.50

Expectorant

20.00/bottle

24.00/bottle

AntiAsthmatic

20.00

25.00

AntiPyretic

7.00

10.00

AntiFlatulent

7.50

9.50

The prices for all the products except Expectorant are the prices of 10 tablets.
11. A man is prescribed a combination of Antacid and AntiHypertensive in the ratio 2 : 3 for the first week and of AntiHypertensive and AntiFlatulent in the ratio 3 : 4 for the second week. The purchased all the medicines under the existing price. His expenditure in the second week is what % more than in the first week?
12. What is the percentage increase in the expenditure of a person for one year if he consumes 32 tablets of Antacid in one week?
13. A person is prescribed to take two spoonful’s of Expectorant thrice every day for a period of 20 weeks. Assuming that each bottle of Expectorant contains 90 spoonful’s, find the expenditure according to the existing prices.
14.The altitude drawn to the base of an iscoceles triangle is 8 cm and its permineter is 64 cm then find the area of triangle.
15. In a 100m race, A runs at 5 km/h. A gives B a start of 8 m and still beats him by 8 sec. Find out the speed of B.
16.In a ∆ABC,∠ABC=90°, ∠ACB=30°,AB=5 cm. What is the length of AC?
17.If 0 ≤ θ ≤ π/2 and cosθ+√3 sinθ=2 , then what is the value of θ ?
18. If 2x^{2}cos60° 4 cot^{2}45°2 tan60°=0, then what is the value of x?
19.If two sides of an obtuse angled triangle are 8 cm and 15 cm and third sides is x, then
20.If area of a triangle is 81cm^{2} and its semiperimeter is 27 cm then area of incircle of the triangle is
21. Two equal circles pass through each other’s Centre. If the radius of each circle is 5 cm, what is the length of the common chord?
22.Three horses are tethered at the three distinct corners of the two perpendicular sides of a right triangle having length 6 m and 8 m. Each horse is tethered by a rope 3 m long. What maximum area can they graze?
23.Four largest possible circular plates of equal area have been removed from the square sheet of a paper of area 784 cm^{2}. What is the circumference of each plate? (π=22/7)
24. Two rifles are fired from the same place at a difference of 11 min 45 seconds. But a man who is coming towards the place in a train hears the second sound after 11 min. Find the speed of the train (assuming speed of sound = 330 m/s)
25.If sin A=1/√10, sin B =1/√5 where A and B are positive and acute, A + B =