**Q1. Diagonal of a square whose side is 22√2 cm is bent into a circle, find area of the circle?**

(a) 176 cm²

(b) 132 cm²

(c) 154 cm²

(d) 220 cm²

(e) 198 cm²

**Q2. A man purchases three type of item in ratio 2:3:4 and their cost price are Rs. 300, Rs. 500 and Rs. 700 respectively. If he sold first, second and third type of article at 10%, 5% and 4% profit respectively, then find his overall approximate profit percentage?**

(a) 7%

(b) 2%

(c) 4%

(d) 9%

(e) 5%

**Q3. A, B and C invest in a partnership in ratio 5:3:7 and investment of A is Rs. 200 less than investment of C. Partner B invests for 1/5 th and A and C invest for 1/12 th and 1/15 th respectively of total time of investment. If profit of B is Rs. 800 more than that of C than find profit of A.**

(a) Rs. 1000

(b) Rs. 2500

(c) Rs. 2800

(d) Rs. 1400

(e) Rs. 3600

**Q4. The sides of a rectangle are in the ratio of 5 : 4 (length : breadth). If the length is increased by 3 cm and breadth is reduced by 37½%, the new area obtained is 150 cm² less than the original area. Find the perimeter of the rectangle? **

(a) 72 cm

(b) 108 cm

(c) 126 cm

(d) 90 cm

(e) 100 cm

**Q5. Average of first three no. out of seven no. is 11 more than average of seven no. and 5th , 6th and 7th no. are 8, 5 and 29 less than average of seven number respectively. If 4th no. is 89, then find average of initial three no.**

(a) 80

(b) 70

(c) 81

(d) 91

(e) 61

**Q6. Ratio of speed of a bus to a car is 6 : 7. They start from the same point and move towards the same direction. After four hours distance between them is 28 km. Find the time in which car will cover 196 km.**

(a) 6 hours

(b) 4 hours

(c) 4.5 hours

(d) 2 hours

(e) 8 hours

**Q7. Veer can do a work in x days. While Sameer can do the same work in (x + 4) days. Ratio of work done by Veer in 3 days to work done by Sameer in 4 days is 15 : 16. Find the value of ‘x’.**

(a) 24

(b) 18

(c) 12

(d) 20

(e) 16

**Q8. By selling two articles a man earns 15% profit on first article and 10% loss on second article. Find his overall gain or loss percent if C.P. of both articles were same? **

(a) 2%

(b) 5%

(c) 2.5%

(d) 3%

(e) 3.5%

**Q9. An alloy ‘A’ made of Copper and Zinc contain 40% copper and another alloy ‘B’ having same elements contain 30% zinc. A new alloy is made by mixing both alloys which contain 60% copper. Find the ratio of quantity of alloy A and alloy B in the new alloy? **

(a) 1 : 2

(b) 3 : 4

(c) 2 : 1

(d) 4 : 3

(e) 5 : 3

**Q10. Train A crosses a platform of 98 m length in 24 sec. Another Train B of same length as Train A crosses a pole in 12 sec. If speed of train A is 20% more than speed of train B. Find length of train A. **

(a) 80 m

(b) 65 m

(c) 70 m

(d) 75 m

(e) 90 m

**Q11. Hemant makes 12 ½ % profit on selling a book at a certain price. If he sells it at Rs. 4 more than it’s selling price, then be would gain 1/4th of cost price. Find new selling price of book? **

(a) Rs. 32

(b) Rs. 36

(c) Rs. 34

(d) Rs. 40

(e) Rs. 48

**Q12. Manoj invests Rs. 1800 in two parts at SI at 4% and x% for two years. When he invests larger part at x% and smaller part at 4% then he gets total of Rs. 164 as interest and when he invests larger part at 4% and smaller part at x% then he gets total of Rs. 160 as interest. Find value of x%?**

(a) 5%

(b) 6%

(c) 3%

(d) 7%

(e) None of these

**Q13. Find the probability of selecting a two-digit number at random such that it should be a multiple of 3 but not a multiple of 12? **

(a) 4/15

(b) 23/90

(c) 7/30

(d) 1/3

(e) 11/45

**Q14. Average score of Sachin in his initial 40 matches is ‘a’. In next two matches he scores 112 and 99 runs so that his average increased by 2 runs. Find his new average? **

(a) 63.5

(b) 67.5

(c) 67

(d) 65.5

(e)61.5

**Q15. Two tap A and B can fill a tank in 12h and 10h respectively. Due to a leak in bottom of tank it takes 18h to fill the whole tank. If from the leak water is running at the rate of 46 lit/min, then find capacity of tank? **

(a) 3600 lit

(b) 21600 lit

(c) 2160 lit

(d) 36000 lit

(e) None of these

**Solutions**