Q2. Bag A contains ‘P’ green and 18 yellow balls while bag B contains ‘(P + 2)’ green balls and 22 more number of yellow balls than that of in bag A. Probability of selecting a green ball from bag A is 1/12 more than probability of selecting a green ball from bag B. Find total number of balls in bag B. (P<50)
(a) 48
(b) 54
(c) 60
(d) 84
(e) 66
Q3. Ratio of speed of boat P and Q in still water is 2 : 3. If time taken by boat ‘Q’ to cover a certain distance in upstream is equal to that of ‘P’ to cover 60% of that distance in upstream and difference of the distance covered by ‘Q’ and ‘P’ in 5hr in downstream is 60km then find ratio of speed of boat ‘P’ in downstream to ‘Q’ in upstream?
(a) 3 : 2
(b) 1 : 2
(c) 1 : 1
(d) 4 : 5
(e) 5 : 4
Directions (4-5): Answer these questions based on the information given below.
6 men complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days. Whereas 18 children can complete the piece of work in 10 days. 4 men, 12 women and 20 children work together for 2 days, and then only 36 men were to complete the remaining work in x day.
Q4. A can do a piece of work in 10x days and B can do the same work in 20x days. They do the work on alternative days starting from A then in how many days A and B can complete the work?
(a) 11 days
(b) 12 days
(c) 13 days
(d) 14 days
(e) None of these
Q5. 56x soldiers can complete a piece of work in 24 days. In how many days can 42 soldiers complete the same piece of work?
(a) 32 days
(b) 24 days
(c) 16 days
(d) 48 days
(e) None of these
Directions (6-7): Three friends P, Q and R share an apartment and share the rent equally. The monthly income of R is 25% less than that of Q and Rs.8000 less than that of P. Monthly expenditure of Q on food is Rs.1000 more than that of P and is Rs.1000 less than that of R. After meeting the expenses on rent and food, they save amounts in the ratio 6 : 7 : 4.
Q7. If the total amount spent by all the three on food is Rs.27000 and the monthly income of Q is Rs.6000 more than that of P, then what is the monthly rent of the apartment?
(a) Rs.48000 (b) Rs.30000 (c) Rs.24000
(d) Rs.36000 (e) Cannot be determined
Q8. Selling price of two articles is same and shopkeeper claim to get 20% profit on each article but mistakenly he calculates one profit on selling price. If difference of profit he gets on articles is 8 Rs. then find the selling price?
(a) Rs.200
(b) Rs.180
(c) Rs.160
(d) Rs.220
(e) Rs.240
Q9. Rs.15000 invested in two schemes each. First scheme offers R% interest on C.I. and second scheme offer R% more of what he gets in first at S.I. If after 2-year difference between interests earned in both scheme is Rs. 600 then find the value of R.
(a) 24%
(b) 10%
(c) 15%
(d) 20%
(e) None of these
Q10. Sunny and Satish shoot each other 4 and 3 out of every 6 shots respectively. They try to shoot each other in sequences start with Sunny. Find the probability that Satish killed?
(a) 1/5
(b)2/5
(c)7/10
(d)3/5
(e)4/5
Solutions