**Q2. Distance between two cities A & B is 600 km. P starts from A and Q from B at same time. After two hours, P realized he was travelling slow and therefore increased his speed by ¼ th and meet Q at a point 216 km from A. Find the increased speed of P, if Q drove at a constant speed of 150 km/hr. **

(a) 125 km/hr

(b) 120 km/hr

(c) 80 km/hr

(d) 100 km/hr

(e) None of these

**Q3. A cruise ship X is 380 m long and travels at a speed of 32 kmph in still water. Another cruise ship Y which is 180 m long travels at 40 kmph in still water. The two ships pass each other traveling in opposite directions, in a region where the speed of current is 8m/s. How long (in seconds) will it take them to pass each other? **

(a) 42 sec

(b) 28 sec

(c) 35 sec

(d) 24 sec

(e) 21 sec

**Q4. A basket contains only three kinds of fruits – guavas, mangoes and pears. What is the minimum number of fruits that should be picked from the basket to ensure that at least 5 guavas or at least 7 mangoes or at least 8 pears are picked?**

(a) 20

(b) 19

(c) 17

(d) 18

(e) can’t be determined

**Q5. A trader gives p% discount on the marked price and makes (p + 25) % profit. If he offers a discount of (p+10) %, then he makes (p+10) % profit. Find the percentage by which the marked price exceeds the cost price.?**

(a) 40%

(b) 50%

(c) 45%

(d) 30%

(e) 60%

**Q7. An article is sold at 30% profit. Had it been sold at Rs. 155 more than previous selling price and the cost price were also increased by Rs. 100 then profit percent would have been 5% more. Find CP of the article. **

(a) Rs. 500

(b) Rs. 400

(c) Rs. 460

(d) Rs. 480

(e)none of these

**Q8. Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji. Balaji sells it for Rs. 20 more than what he purchased for, this S.P is 30% more than the original C.P. of the article. Then Balaji’s profit% is (rounded off to two decimal places).**

(a) 7.5%

(b) 6.66%

(c) 8.34%

(d) 9%

(e) 10.25%

**Q9. Four persons started to do a work together. ‘A’ works only in starting two days after that B, C and D works alternately starting from B. Ratio of time taken by A, B, C and D, if they work alone is 4 : 3 : 2 : 5. If the work is completed in 12 days then in how many days A and C can complete the work if they work together ? **

(a) 6 days

(b) 12 days

(c) 10 days

(d) 8 days

(e) None of these

**Q10. 2n years ago, the age of Raju was four times that of his son and n years ago, the age of Raju was thrice that of his son. If n years later, the sum of the ages of Raju and his son will be 80 years, then the difference in the ages of Raju and his son is **

(a) 20 years

(b) 40 years

(c) 24 years

(d) 30 years

(e) 35 years

**Q11. There are two vessels A and B which contains mixture of sulphuric acid and nitrous oxide in the ratio of 7 : 2 and 3 : 4 respectively. Mixture of both vessels are mixed to obtain a mixture of 390 ml, in which quantity of nitrous oxide is 160 ml. Find ratio of quantity of mixture in vessel A quantity of mixture in vessel B?**

(a) 7 : 6

(b) 6 : 7

(c) 5 : 7

(d) 7 : 9

(e) 4 : 7

**Q12. The surface area of a sphere is 423.5 cm² less than total surface area of a hemisphere. If ratio between radius of hemisphere and sphere is 3 : 2, then find the radius of hemisphere?**

(a) 5.5 cm

(b) 5 cm

(c) 4 cm

(d) 7 cm

(e) 10.5 cm

**Q13. A 240 meters long train crosses a 210 meters long train running in opposite direction in 6 sec. Ratio between speed of longer train and smaller train is 7 : 8. If faster train crosses a platform in 9 sec, then find time taken by slower train to cross a bridge, which is 60 meters more long than platform?**

(a) 142/7 sec

(b) 136/7 sec

(c) 90/7 sec

(d) 148/7 sec

(e) 142/7 sec

**Q14. Raman invested some amount in scheme ‘P’ which offer 20% C.I. p.a while some amount in scheme ‘Q’ which offers 8% S.I. p.a. After 2 year ratio of interest, earn from ‘P’ to ‘Q’ is 11 : 6. Amount invested by Raman in scheme ‘P’ is what percent of the amount invested by him in scheme ‘Q’. **

(a) 50%

(b) 33⅓%

(c) 25%

(d) 66⅔ %

(e) 150%

**Q15. A, B and C entered into a partnership business, A invested Rs. x, B invested 25% more than A and C invested 20% more than B for first 6 months. After that A left the business and B withdraw 50% of his investment. B left the business after 3 more months whereas C increased his investment by 16⅔% . If at the end of year difference between profit share of C and (A + B) together is Rs. 12375, then find profit share of C ?**

(a) 58500 Rs.

(b) 56500 Rs.

(c) 55680 Rs

(d) 55580 Rs.

(e) 52680 Rs.

**Solutions**