**Q1. The compound interest on a certain sum of money at a certain rate per annum for two years is Rs. 6912 and the simple interest on the same amount of money at the same rate for 3 years is Rs. 2880. Find the principal amount.**

(a) Rs 6000

(b) Rs 5400

(c) Rs 4800

(d) Rs 4500

(e) Rs 6300

**Q2. The curved surface area of hemispherical bowl is 2772 cm³. A circular cylinder is attached with base to the circular side of the hemisphere. Find the total volume if the height of the cylinder is two times of the radius of the hemisphere.**

(a) 30700 π cm³

(b) 24780 π cm³

(c) 42560 π cm³

(d) 24696 π cm³

(e) 28780 π cm³

**Q3. Dharmender sold his bicycle to Shivam at loss of 25%. Shivam repair the bicycle in Rs 250 and then sold to Anurag at profit of 20%. Anurag sold it to Harish at 20% loss. Now, Dharmender bought the bicycle from Harish in Rs 1050. Find the profit/loss of the Dharmender if Harish gain a profit of Rs 90 after selling the bicycle to Dharmender.**

(a) Rs 80

(b) Rs 50

(c) Rs 100

(d) Rs 70

(e) Rs 90

**Q4. A and B starts a business together. A invests Rs 6300 while B invests 25% more than A. After 8 months, B withdraws 40% of his investment. If at the end of the year, they divide the 75% of the total profit in investment x time ratio and remaining profit in the ratio of 13 : 12, then find the total profit. Profit share of B is Rs 6120.**

(a) Rs 12000

(b) Rs 15000

(c) Rs 13000

(d) Rs 18000

(e) Rs 20000

**Q5. A vessel X contains mixture of water and milk in the ratio of 5 :8. If 65 liter of mixture is taken out and poured into another vessel Y, which contains 12 liters of milk only. If quantity of milk in vessel Y becomes 66 ⅔% of initial mixture of vessel X. find initial quantity of water in vessel X.**

(a) 35 liters

(b) 25 liters

(c) 54 liters

(d) 48 liters

(e) 30 liters

**Q6.There is two vessels A and B. Vessel A & B contains the mixture of milk, mango juice and water in the ratio of 8 : 5 : 3 & 6 : 5 : 2 respectively. If both vessels are mixed respectively in the ratio of 16 : 13 into another vessel C then the total quantities of mango juice in vessel C will be 20 liters. Find the difference between the quantity of milk and water in vessel C?**

(a)15 liters

(b)10 liters

(c)18 liters

(d)25 liters

(e)20 liters

**Q7. Satish saved 55% of his monthly income, which he further invested in two different schemes A & B in the ratio of 7 : 5 on CI compounded annually at the rate of 10% p.a. and 20% p.a. respectively. If after two years, Satish gets total interest of Rs. 8074 from both the schemes, then find the total annual saving of Satish?**

(a)316,600 Rs.

(b)316,400 Rs.

(c)316,000 Rs.

(d)316,200 Rs.

(e)316,800 Rs.

**Q8. Veer and Sameer alone can do 25% & 33 ⅓% of a task in 16 days individually. If Sameer & Satish together can do same task in 16 days, then find in how many days Veer, Sameer and Satish will complete the whole task, if they do it on alternate days, starting with Satish and followed by Sameer & Veer respectively?**

(a)38 days

(b)42 days

(c)36 days

(d)32 days

(e)30 days

**Q9. Ratio between length of two trains A & B is 3 : 4 and both the trains are running at the speed of 81 km/hr and 108 km/hr respectively. If both the trains are running in opposite direction, they crossed each other in 8 sec, then find in what time both trains will cross each other when running in same direction?**

(a)48 sec

(b)56 sec

(c)44 sec

(d)42 sec

(e)40 sec

**Q10. Radius of a cylinder is half of the side of square, whose perimeter is 6 cm more than perimeter of rectangle. If ratio between length to breadth of rectangle is 7 : 2 and between length of rectangle to side of square is 3 : 2. Find volume of cylinder, given height of cylinder is equal to breadth of rectangle?**

(a)24,938 cm³

(b)24,948 cm³

(c)24,848 cm³

(d)24,996 cm³

(e)24,918 cm³

**Q11. Mohit and Hemant can complete a work in 48 days, while Hemant and Vikash can do the same work in 36 days together. If efficiency of Vikash is 150% of Mohit then find time taken by Hemant to complete ¾th of the work?**

(a) 144 days

(b) 108 days

(c) 96 days

(d) 36 days

(e) 120 days

**Q12. A bag contains 15 total balls in which total green & red balls are 9 and remaining are blue & yellow balls. If two balls taken out from the bag, then probability of both balls being either red or green is 16/105 and when one ball is taken out so probability of ball being yellow is 2/15 . find difference between green balls & yellow balls in the bag?**

(a) 2

(b) 3

(c) Either (a) or (b)

(d) 1

(e) 0

**Q13. Marked price of article ‘B’ is 40% more than marked price of article A. Shopkeeper has two schemes i.e. P & Q. Scheme P – If someone buy A & B together shopkeeper allows a total discount of 25%. Scheme Q – If someone buy A & B separately, then shopkeeper allows 15% discount on A and 20% discount on article B. If shopkeeper make profit on article A & B Rs. 220 and 34.4% respectively, when he sold A & B by scheme Q and difference between profit made from scheme P & Q is Rs. 204, then find difference between cost price of article A & B.**

(a) 300 Rs.

(b) 200 Rs.

(c) 400 Rs.

(d) 150 Rs.

(e) 120 Rs.

**Q15. Height and radius of cylinder are 14m and 7m respectively. Outer area of this cylinder is to be covered with the help of fabric including it’s roof then find total cost of fabricating it if cost of fabric is Rs. 2 per meter square (in Rs.)?**

(a)1540

(b)770

(c)1105

(d)1100

(e)550

**Solutions **