**Q1. A 950 metres long train-A crosses another train-B running in same direction in 16 seconds. If the ratio of speed of these trains is in the ratio 17:13 respectively, find out the length of train B?**

(a) 1000 meter

(b) 1900 meter

(c) 1600 meter

(d) 1100 meter

(e) Can’t be determined

**Q2. If 216 toys were distributed equally among children in such a way that the number of toys received by each child is 83⅓% less than the total number of children. How many toys did each child receive?**

(a) 6 toys

(b) 12 toys

(c) 9 toys

(d) 36 toys

(e) 27 toys

**Q3. P, Q, R together invested Rs. 100000 in a business. if P invested Rs. 8000 more than Q and Q invested Rs. 10000 more than R, then at the end of the year what will be share of P out of a total profit of Rs. 70,000?**

(a) 30600 Rs.

(b) 28000 Rs.

(c) 27500 Rs.

(d) 29400 Rs.

(e) 30000 Rs.

**Q4. Find the speed of stream, if a boat covers 45 km in downstream in 7 ½ hours and ratio of upstream and downstream speed of boat is 2:3 respectively.**

(a) 2km/hr

(b) 1.5km/hr

(c) 3km/hr

(d) 1km/hr

(e) 3.5km/hr

**Q5. A student has to obtain 33 ⅓% of the total marks to pass an examination. He got 185 marks and failed by 25 marks. The maximum marks for the examination are?**

(a) 660

(b) 630

(c) 570

(d) 540

(e) 510

**Q6. The ratio of cost price and market price of an article is 24:27. If 10% discount is given for article, then find the profit percentage.**

(a) 1.25%

(b) 1.75%

(c) 1.50%

(d) 2.50%

(e) 2.25%

**Q7. Ratio of Neha and Sarita’s age is 3:4, x years ago the ratio was (x-5) :(x+6). Find out present age of Sarita. (in years)**

(a) 16

(b) 24

(c) 32

(d) 12

(e) Can’t be determined.

**Q8. A shopkeeper sells one-fifth of his goods at a profit of 12.5%, another one-fifth at a profit of 6 ¼ %, and the rest at a loss of 4%. What is his overall profit percentage?**

(a) 1.75%

(b) 1.65%

(c) 1.25%

(d) 1.55%

(e) 1.35%

**Q9. The cost price of Type A wheat is Rs. 21 per kg and Type B wheat is Rs.31 per kg. If both Type A and Type B wheat are mixed in the ratio of 7: 9 respectively, and the resultant mixture is sold at 16⅔ % profit then find out the per kg selling price of the mixture.**

(a) 30.0625 Rs.

(b) 31.0625 Rs.

(c) 32.0225 Rs.

(d) 33.0225 Rs.

(e) 34 Rs.

**Q10. There are 4 consecutive even numbers. If sum of first three numbers is 108, then calculate the product of smallest and largest no.**

(a) 1260

(b) 1292

(c) 1280

(d) 1360

(e) 1428

**Q11. Deepak takes 24 minutes more to cover a certain distance by decreasing his speed by 25%. What is the time taken by him to cover the distance with his original speed?**

(a) 70 minutes

(b) 72 minutes

(c) 75 minutes

(d) 90 minutes

(e) 84 minutes

**Q12. The ratio of height of a cylinder to its base radius is 2:1 respectively. If radius of a hemisphere is equal to the radius of the cylinder, then find the total surface area of cylinder is what percent more than total surface area of a hemisphere?**

(a) 40%

(b) 30%

(c) can’t be determined

(d) 33 ⅓%

(e) 50%

**Q13. A shopkeeper marked up price of an article by x% above its cost price and offers a discount of (x-20) % on it, so that the selling price becomes Rs. 24 more than its cost price. If ratio of cost price to profit is of 25:3, then find the value of ‘x’.**

(a) 25

(b) 40

(c) 20

(d) 50

(e) 100

**Q14. Compound interest on a certain sum at the rate of 20% payable half yearly for 1.5 years is Rs.’77.5’ more than the Simple interest for 1.5 years on same sum at the same rate (p.a.). Find the Sum?**

(a) Rs. 2600

(b) Rs. 2200

(c) Rs. 2700

(d) Rs. 2300

(e) Rs. 2500

**Q15. Two vessels A and B containing 40 lit of water and 60 lit of alcohol respectively. If 30% of water is taken from vessel A and poured into vessel B and again 50% mixture is taken out from Vessel B and poured into Vessel A, then find the ratio between water to alcohol in final mixture in vessel A .**

(a) 17 : 15

(b) 15 : 13

(c) 3 : 2

(d) 4 : 3

(e) 16 : 15

**Solutions **