**Q1. A vessel contains 180 liters mixture of two liquid p & q in the ratio 7 : 8 respectively. Some mixture is taken out from the vessel and is replaced completely by the liquid r .If ratio of p, q & r in resulting mixture is 14 : 16 : 15 respectively, then find quantity of mixture p & q taken out from the vessel is what percent of initial quantity of q.**

(a) 58⅓%

(b) 62⅓%

(c) 55⅓%

(d) 49⅓%

(e) 62½%

**Q2. Sum of radius of a circle and breadth of rectangle having length 32 m is 46 m. If ratio of circumference of circle to perimeter of rectangle is 44 : 25, then find difference between area of rectangle and that of circle (in m²)?**

(a) 1848

(b) 1888

(c) 1896

(d) 1988

(e) 1828

**Q3. Veer age six years hence will be 400% of age of Viru six years ago and ratio of age of Sameer three years hence and age of Viru six years hence will be 3 : 2 respectively. If three years ago, average age of Veer, Viru and Sameer was 15 years, then find the average age of Viru and Sameer six years hence will be?**

(a) Can’t determined

(b) 28 years

(c) 32 years

(d) 24 years

(e) 30 years

**Q4. A, B & C together invested Rs. 90000 in a business and B invested 20% more than A, while C invested Rs. 12000 less than B. After one year’s B invested his profit share at the rate of 15% p.a. at SI for three years and he received total interest of Rs. 23040, find total profit of business?**

(a) 72000 Rs.

(b) 96000 Rs.

(c) 64000 Rs.

(d) 128000 Rs.

(e) None of these

**Q5. Shivam donates 24% of his monthly income to NGO and from remaining he saves Rs. 16000 and remaining salary he distributes to his wife and his son. Wife get 20% more than son and son got 15% of Shivam saving. If Shivam monthly income is 70% of Veer monthly income, what is Veer yearly income.**

(a) 5.4 lakhs

(b) 6 lakhs

(c) 3.6 lakhs

(d) 9.6 lakhs

(e) 4.8 lakhs

**Q6. A has two articles of the same cost price. He has sold both articles to B at Rs 160 each. If profit % on first article for A (calculated on CP) is 60% more than profit % on second article for A (calculated on SP) and B sold the first article at Rs. _______ and earns a profit which is 20% less than profit earned by A on first article, then what come in the blank place?**

(a) Rs 204

(b) Rs 218

(c) Rs 416

(d) Rs 208

(e) Rs 216

**Q7. A man invested Rs. A at the rate of 15% per annum for three years on SI and Rs. B at the rate of 20% per annum for two years on CI. If ratio of total SI to total CI received by man is 15 :22, then which possible values will come in the place of A & B?**

(A) 1200 and 1800

(B) 600 and 900

(C) 400 & 800

(D) 300 & 450

(a) Only (A) & (B)

(b) Only (A) & (D)

(c) Only (B) & (D)

(d) All, (A), (B), (C) & (D)

(e) Only (A), (B) & (D)

**Q8. ‘N’ number of children can complete a piece of work in 10 days and ‘M’ number of women can complete the same piece of work in 10 days. 8 women and 10 children working together can complete same piece of work in 6 days. If efficiency of a woman is 87.5% more than efficiency of a child, then find in how many days (approximate) (N + M) children can complete the same work.**

(a) 9.5 days

(b) 5.5 days

(c) 6.5 days

(d) 8.5 days

(e) 7.5 days

**Q9. There were two spheres A & B and radius of B is 25% less than A. If B cut into two equal halves and the difference between total surface area of A and total surface area of a part of B is 1424.5 m². Find volume of A?**

(a) 34496/3 m³

(b) 17248/3 m³

(c) 34296/3 m³

(d) 17448/3 m³

(e) 34496 m³

**Q10. Three-man P, Q & R give 10%, 12.5% and 15% of their monthly salary to their sons respectively and Salary of P and R is same and the difference of amount given by P and R to their sons is Rs 480. Total amount given by P and R together to their sons is Rs 1200 less than the amount given by Q to his son. Find the total amount given by Q & R together to their sons is what percent of Q monthly salary?**

(a) 12.5%

(b) 11.75%

(c) 12.15%

(d) 12%

(e) 17.5%

**Q11. There are two bags –P & Q (both contains two types of chocolates i.e. five star and dairy milk). Bag-P contains 5 five star and 10 dairy milk and Bag-Q contains 9 five star and 6 dairy milks. If a bag is chosen randomly and two chocolates are drawn from it randomly, then find the probability of getting at least one dairy milk?**

(a) 82/105

(b) 38/105

(c) 79/105

(d) 97/105

(e) None of the above

**Q12. Pipes P alone and Q alone can fill a tank in 20 hours and 24 hours respectively. They start filling the same tank on alternative hours, starting with P. Further, they got a halt after filling for every 5 hours and after that halt, the pipe which won’t worked on the last hour before halt, will start the filling the tank. Then, find in how many hours tank will be filled completely? (Consider halt is of negligible time)**

(a) 21⅕ hours

(b) 20⅗ hours

(c) 21⅘ hours

(d) 20⅓ hours

(e) 21⅖ hours

**Q14. In a bag, there are 25 balls of three different color i.e., white, pink and blue. Number of white balls is 4 more than the number of blue balls. If the probability of choosing a pink ball from the bag is 0.2 then, find the probability of choosing a ball of each color if the ball chosen is not replaced. **

(a) 4/23

(b) 24/115

(c) 5/23

(d) 27/95

(e) None of these

**Q15. Ajay invested Rs. 20,000 for two years at CI at the rate of 20% per annum. In 1st year interest is calculated annually while in 2nd year it was calculated half-yearly. Find the difference between the total interest received in the above case and that of when he invested the same amount at same rate of interest for 2 ¼ years at SI? **

(a) Rs 30

(b) Rs 60

(c) Rs 50

(d) Rs 40

(e) None of these

**Solutions**