**Q1. Retailer mark up an article 35% above its cost price and earn Rs 96 by giving 20% discount on the marked price. If he sells article at 15% discount on marked price then, find retailer’s profit on selling one article.**

(a) 118

(b) 177

(c) 236

(d) 214

(e) 154

**Q2. Present age of Amit is 50% more than Manish’s present age while 5 years ago Amit’s age was twice than that of Manish’s age at that time. Five years hence, sum of ages of Manish and Amit is equal to Lalit’s age at that time, then find present age of Lalit?**

(a) 35

(b) 40

(c) 20

(d) 25

(e) 30

**Q3. Neha who is 50% more efficient than Ritu who take double time than Priya to complete a work. Neha can complete a work in ‘x’ days while Priya can complete the same work in (x – 15) days. In how many days all three can completes the same work together?**

(a) 36 days

(b) 30 days

(c) 22.5 days

(d) 20 days

(e) 18 days

**Q4. A train covers certain distance in two parts. Distance covered in first part is 200% more than the distance covered in second part while speed of train is in the ratio 2 : 1 in first and second part respectively. If average speed of train is 64 km/hr, then find the speed of train in first part? (in kmph)**

(a) 40

(b) 80

(c) 50

(d) 30

(e) 100

**Q5. Find the probability of forming a 2 digit number by using starting four prime number such that it is divisible by 3.**

(a) 1/3

(b) 1/4

(c) 5/16

(d) 1/2

(e) 3/8

**Q6. Volume of a sphere is 1617 cm³ more than volume of a cone. If radius of base of cone and radius of sphere is in the ratio 2 : 1 and radius of cone is 200% more than height of cone, then find the height of cone?**

(a) 3.5 cm

(b) 7cm

(c) 10.5 cm

(d) 14 cm

(e) 21 cm

**Q7. Neeraj invested Rs. 8,000 in a scheme for two years which offers compound interest at 20% p.a. After 2 years he invested the total amount he got in another scheme for 4 years which offers simple interest at 15% p.a. Find total interest earned by him on Rs. 8,000?**

(a) 10,432

(b) 5,632

(c) 8,320

(d) 8,632

(e) 8,432

**Q8. When a two-digit number is reduced by 62.5% , the digits of the given two digit number get interchanged . Find the original number?**

(a) 72

(b) 64

(c) 96

(d) Can’t be determined

(e) None of these

**Q9. In a class, number of girls are 25% less than number of boys. If number of girls and number of boys increased by 20% and 10% respectively, then total no. of students in the class increased by 80. Find total no. of students in the class initially.**

(a) 350

(b) 420

(c) 490

(d) 560

(e) 630

**Q10. Two pipes A and B together can fill a cistern in 18 hours. Ratio of efficiency of pipe A and pipe B is 2 : 3. Find in what time cistern can be fully filled if pipes A and B are opened alternatively in a way that A alone is opened for first three hours and then B alone is opened for next 1 hour till the whole cistern get filled ?**

(a) 25 hours

(b) 30 hours

(c) 35 hours

(d) 40 hours

(e) 50 hours

**Solutions**