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?
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?
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.
Q5. Find the probability of forming a word from rearranging ‘HUMAN’ such that vowels never come at even places.
(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
Q7. How many males are found eligible for home loan from state X?
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.
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.