Quantitative Aptitude Quiz For RBI Assistant/ ESIC UDC Mains 2022- 12th April

Directions (1-2): Read the given information carefully and answer the questions.
A tank is connected with three taps P, Q and R each at bottom. Each tap’s efficiency of filling is same as emptying the tank. Tab Q & R together can fill half of the tank in 2.33 hrs. Efficiency of tap P is 30% less than that of tap Q. Time taken by tap P & R together both as inlet to fill 6/35 th of tank is same as time taken by tap P as outlet & tap Q as inlet together to fill 3/70 th of tank.

Q1. If all three taps (one at a time) are kept open for a minute alternatively, then what is ratio of maximum time taken to fill the tank to minimum time taken to fill the tank. (a pipe repeats only after all 3 have opened for a minute & this pattern continues until tank is completely filled)
(a) 47 : 49
(b) 49 :47
(c) 19 :17
(d) Cannot be dtermined
(e) 17 :19

Q2. If tap Q & R started filling the tank together both as inlets and after 3 hrs tap R is closed and after some more time, Q is closed and tap R is opened again to fill tank (completely). For what time Q alone & R alone kept opened respectively? (tap R filled 25% less tank than Q) (in hrs)
A. 3, 6
B. 1, 3
C. 2, 4.5
D. 4, 7.5
E. 5, 9
(a) A, B & D
(b) B, D & E
(c) None of these
(d) All of the above
(e) B & D

Q3. Time taken to cover (X+6) km upstream is 5 times the time taken to cover (X–2) km downstream. If ratio of speed of boat in upstream to downstream is 2 : 5 and time taken to cover (X+8) km downstream is 54 minutes ,then what will be the speed of current?
(a) 4 km/hr
(b) 6 km/hr
(c) 3 km/hr
(d) 7 km/hr
(e) 5 km/hr

Q4. In an office, 65%, 40% and 50% employees like coffee, tea & soft drink respectively. 40% like exactly 2 drinks while 10% like all 3 drinks. Employees who like exactly 1 drink are 160 more than those who like all 3 drinks. How many more employees like soft drink over tea?
(a) 35
(b) 40
(c) 55
(d) 50
(e) 45

Q5. A man sold an article at Rs.1760 after giving discount of 20% on marked price but he charged 10% tax on discounted price. If he had sold the article at marked price but still charging same tax on final price then his profit percent would be 37.5%. Find difference between cost price & marked price.
(a) Rs 380
(b) Rs 420
(c) Rs 600
(d) Rs 240
(e) Rs 400

Q6. Rahul borrowed Rs.50000 at 12% p.a. at SI from Pallavi for 2 years. Rahul further lent the borrowed amount for 2 years to Ayush at CI and to Deepak at SI in the ratio 3 : 2 respectively. If rate of interest for both Ayush and Deepak is same and Rahul earned Rs.3675 in this whole transaction, then find rate of interest at which Rahul lent to Ayush and Deepak.
(a) 12%
(b) 20%
(c) 18%
(d) 15%
(e) 10%

Q7. P is a mixture of milk, water and syrup and Q is a mixture of milk and water. Ratio of total quantity of P to that of Q is 4: 3 and quantity of water in both P & Q is same. Mixtures P & Q are mixed to form new mixture R. If ratio of milk, water and syrup in R is 11: 8: 2 respectively and quantity of syrup in R is 100 liters, then find total quantity of milk in P is how much more/less than that of in Q?
(a) 90 liters
(b) 150 liters
(c) 120 liters
(d) Cannot be determined.
(e) None of the above.

Q8. A & C working together can complete a piece of work in 144 days and A, B & C working together can complete same piece of work in 96 days. If A & C started the work and after X days B replaced them and ratio of work completed by A & C together to that of by B is 2 : 1, then find X.
(a) 115 days
(b) 96 days
(c) 84 days
(d) 80 days
(e) 106 days

Q9. 3 cards are drawn from a pack of 52 cards, then find the probability of getting 2 king cards and at most 1 ace card.
(a)15/428
(b)3/43
(c) 72/5525
(d)4/85
(e) 31/441

Q10. Train – B crosses train – A in 12 seconds and 60 seconds while running in opposite direction and in same direction respectively. Ratio of length of train – A to that of train – B is 3 : 2. If speed of train – A is 60 km/hr., then find time taken by train – B to cross a 800m long platform.
(a) 28 seconds
(b) 30 seconds
(c) 25 seconds
(d) 40 seconds
(e) 36 seconds

Solutions