**Q1. A boat has to travel from point P to point Q in upstream and reach Q by 5.00 PM. If boat starts from point P at 2.00 PM with the speed 20 km/hr and after travelling one hour the speed of current is increased by 25% of its initial speed. If distance from point P to Q is 36 km and speed of current is 8 km/hr, then find by what percent boat has to increase its speed to reach point Q in time?**

(a)5%

(b)15%

(c)12%

(d)10%

(e)17.5%

**Q2. (X+4) men can complete a work in 2X days while (X+12) women can complete same work in (X+8) days. If ratio of efficiency of men to women is 5 : 4 then find in how many days 12 men and 15 women together can complete the same work? **

(a) 32 days

(b) 16 days

(c) 48 days

(d) 64 days

(e) 80 days

**Q3.A man bought an article at Rs.600. He marks up the cost of article and sells it in such a way that if he will give 46⅔% discount then loss occur to him is equal to profit earn by him if he will give 20% discount. Find the Mark price of article? **

(a) Rs.1500

(b) Rs.800

(c) Rs.900

(d) Rs.1200

(e) Rs.1800

**Q4. Rahul took a loan of Rs.80000/- at rate of of 5% p.a. at SI & lent it at 5% pa at CI. After 3 years, he cleared all his debts and invested the profit earned in a scheme which offers C.I. After two years he got Rs.128.1/- as interest from the scheme. Find the rate of interest offered by scheme. **

(a) 8%

(b) 7%

(c) 6%

(d) 10%

(e) 12%

**Q5. Find the probability of forming a word from rearranging ‘HUMAN’ such that vowels never come at even places.**

(a) 3/10

(b) 1/20

(c) 7/10

(d) 19/20

(e) none of these

Direction (6-10): **Study the table given below and answer the given questions.**

Table shows data related to number of applicants who applied for home loan and eligible applicants in 2019 from states X, Y and Z.

[**NOTE:** Total applicants = Total eligible applicants + Total non-eligible applicants]

States Total applicants % of eligible applicants Ratio of males to females found eligible for loan

**NOTE:** Some values are missing. You have to calculate these values as per data given in the questions.

**Q6. What is the average number of eligible applicants from states X and Z, if % of eligible applicants from states Y and Z is same**

(a) 200

(b) 180

(c) 450

(d) 225

(e) 205

**Q7. How many males are found eligible for home loan from state X?**

(a) 90

(b) 225

(c) 110

(d) 275

(e) 200

**Q8. Find the number of eligible male applicants from state Y, if total applicants in state Y are twice of that of in state Z and ratio of males to females who are eligible for loan in state Y is 29 : 11.**

(a) 55

(b) 110

(c) 290

(d) 220

(e) 132

**Q9. What is the ratio of non-eligible applicants from state X to that of in state Z, if there are 30% eligible applicants from state Z?**

(a) 5 : 4

(b) 5 : 2

(c) 5 : 3

(d) 3 : 4

(e) 15 : 14

**Q10. If there are 100 males and 50 females from state Y who are eligible for home loan. Find total applicants from state Y.**

(a) 150

(b) 200

(c) 250

(d) 300

(e) 350

**Solutions**

. . . .