**Q1. A ship is 108 km away from the shore when a leak appears on its bottom surface which admits 2.5 tons of water in 10 minutes. 40 tons of water is required to start sinking the ship but the pumps can throw out 2 tons of water in 12 minutes. Find the average rate of sailing at which ship must sail so that it may just reach the shore as it begins to sink. **

(a) 13.5 kmph

(b) 16.5 kmph

(c) 10 kmph

(d) 15 kmph

(e) 12.5 kmph

**Q3. There are two mixture each containing Tea, Sugar and Rice. First mixture contains 26⅔ % rice and second mixture contain 35 % sugar. The percentage of tea in both mixtures are same. If 240 kg of first mixture is mixed with the 360 kg of second mixture, then the percentage of tea in resultant mixture is 33⅓ %. Find the quantity of sugar in the resultant mixture? **

(a) 250 kg

(b) 342 kg

(c) 222 kg

(d) 231 kg

(e) 312 kg

**Q4. Kapil and Pooja started a business. Kapil invested Rs. 80,000 and after 8 month he invests Rs. 40,000 more. Pooja invested Rs. 1,00,000 and withdraws Rs. 20,000 after 4 months. Pooja is an active partner, so she receives Rs. 2700 per month as salary. If profit share of Kapil after 1 year is Rs. 1,40,000. Then find profit share of Pooja (excluding salary) at the end of the year?**

Rs. 1,62,400

Rs. 1,70,000

Rs. 1,32,400

Rs. 1,30,000

Rs. 1,44,400

**Q5. From numbers 1 to 15 two no. are selected what is the probability that both the selected no. are even numbers.**

(a) 0.20

(b) 0.30

(c) 0.25

(d) 0.35

(e) 0.40

**Q6. Efficiency of B is 40% more than efficiency of A and efficiency of C is 150% of efficiency of B. B alone can complete 40% of work in 6 days. Then, find in how many days 60% of the same work will be completed by A & C working together, if A is working with 5% more efficiency.**

(a) 4 days

(b) 6 days

(c) 5 days

(d) 3 days

(e) 7 days

**Q7. A circle is inscribed in an equilateral triangle whose height is 3√3 cm. Then, find the ratio of area of equilateral triangle to area of circle inscribed in an equilateral triangle.**

(a) 3√3 : 4

(b) 4 :3√3

(c) 5√2 :7√3

(d) Cannot be determined.

(e) None of the above.

**Q8. Ayush has 5 milky bar chocolates, 2 Silk Oreo chocolates & 8 Bournville chocolates. If he selected two chocolates randomly to eat, then find the probability of getting at most 1 Silk Oreo chocolate.**

(a) 33/35

(b) 104/105

(c) 6/7

(d) 19/21

(e) 14/15

**Q9. There are two mixture comprising milk and water. Ratio of milk to water in both mixture is 4 : 1. 50% of mixture – B is mixed in mixture – A, then quantity of water in the resulting mixture becomes 20 liters. Then, find ratio of total quantity of mixture – A to total quantity of mixture – B if total quantity of both the mixture is 140 lit. **

(a) 4 : 3

(b) 3 : 4

(c) 5 : 6

(d) 6 : 5

(e) None of the above.

**Q10. Shivam invested Rs.15000 in two schemes offering R% p.a. S.I. for two years and difference of interest received from both schemes after 2 years is Rs.300. Had he invested Rs.4000 at R% p.a. S.I. for four years, then the interest received by him after four years is Rs.2400. Then, find difference of principal invested by Shivam in both the schemes. **

(a) Rs.4000

(b) Rs.3000

(c) Rs.7000

(d) Rs.2000

(e) Rs. 1000

**Q11. A shopkeeper sells a car for Rs.52510 and incurs a loss of 11%. He sells another car at 5% profit. If on selling both the cars he neither earns profit nor incurs loss, then find the cost price of second car.**

(a) Rs.128300

(b) Rs.129800

(c) Rs.127400

(d) Rs.126800

(e) Rs.125200

**Q12. Train – A can cross a 400m long platform in 36 seconds. Train – B crosses train – A in 66 seconds while running in same direction and train – B crosses a pole in 72/7 seconds. If ratio of length of train – A to train – B is 5 : 6, then find time taken by train – A to cross a pole.**

(a) 12 seconds

(b) 17 seconds

(c) 11 seconds

(d) 14 seconds

(e) 19 seconds

**Q13. There are four pipes connected to a tank – A, B, C and D. A & D are inlet pipes and B & C are outlet pipes. When all four pipes are opened together, then the tank will be filled in 40 minutes. When B & D are opened together, then the tank will be filled in 60 minutes. If D is twice as efficient than C and A is 25% more efficient than C, then find in how much time the tank will be filled when A & C are opened together?**

(a) 120 minutes

(b) 100 minutes

(c) 90 minutes

(d) 70 minutes

(e) None of the above.

**Q14. When two dices are rolled simultaneously, then what will be the probability of getting sum more than 4 and less than 7?**

(a) 1/3

(b) 1/6

(c) 1/18

(d) 1/4

(e) 2/9

**Q15. Present age of C is 9 less than the sum of present age of A & B and 6 years hence, age of B will be twice of age of A. If C is 15 years older than B, then find present age of D (present age of D is 4 less than the average of present age of A, B & C).**

(a) 41 years

(b) 45 years

(c) 52 years

(d) 59 years

(e) 61 years

**Solutions**