Quantitative Aptitude Quiz For IBPS PO Mains 2022- 14th October

Q1. Ram spends Rs. 8000 for 4 years in scheme ‘A’ which offers R% p.a. at S.I. and Rs. 10,000 for 2 years in scheme ‘B’ which offers R% p.a. at C.I. He got same amount from both schemes. Find value of ‘R’.
I. 20%
II. 50%
III. 100%
(a) Either I or II
(b) Either I or III
(c) Either II or III
(d) Any one of I, II and III
(e) Only I

Q2. A retailer bought some eggs at Rs. 10 each. Out of these, some are rotten, and some are fresh. He sold fresh eggs at 50% profit and rotten eggs at 20% loss. In total he earns 8% profit. Find the probability of selecting one fresh egg from total eggs.
(a) 1/9
(b) 1/2
(c) 4/5
(d) 3/5
(e) 2/5

Q3. Two equilateral triangles and two parallelograms are cut down from a hexagon. If area of one equilateral triangle is 4√3 cm² then find the height of parallelogram?
(a) 2√3 cm
(b) √3 cm
(c) 4√3 cm
(d) 3√3 cm
(e) 8√3 cm

Q4. Work done by A, B, C and D is in arithmetic progression. C worked for 9 days and completed 30% work. A and B worked for 2 days and 3 days only. Find for how many days ‘D’ work to complete the remaining work if all four together can complete that work in 4 days.
(a) 12 days
(b) 10 days
(c) 8 days
(d) 6 days
(e) 4 days

Directions (5-6): Pipe A is 33 ⅓% more efficient than pipe B. Pipe C can empty the tank at the rate of 40 litres/hour.

Q5. Mohit opened pipe A and pipe B for 13/7 hours and the tank was filled upto10 liters less than 75% of its capacity. After that he also opened the pipe C and tank was filled in 1 hour. Find the time in which pipe C alone could empty the tank.
(a) 8 hours
(b) 9 hours
(c) 9.5 hours
(d) 8.5 hours
(e) Can’t be determined

Q6. When these pipes were connected to a different tank. Initially, pipe A and B were opened, till the tank was filled 10 liters more water than 75% capacity of tank. After that all the pipes were opened, and the remaining tank was filled in 1 hour. Find the capacity of tank. Given that pipe A will take 4 hours to fill the tank.
(a) 600 litres
(b) 160 litres
(c) 360 litres
(d) 180 litres
(e) can’t be determined

Q7. Speed of current is 10 km/hr and speed of a motor boat is 80% more than speed of current. Motor boat travels 280 km downstream with its usual speed, after that it’s increased speed by ‘s’ kmph and travelled for another 280 km then it returns and covers 560 km in upstream. If boat complete whole journey downstream to upstream in 45 hr, then find the value of ‘s’?
(a) 10 km/hr
(b) 8 km/hr
(c) 6 km/hr
(d) 12 km/hr
(e) 4 km/hr

Q8. A, B and C enter into a partnership and invested some amount. After one year A double its investment, B increase its investment by 33 ⅓% and C increase its investment by 20%. In the third year A and B withdraw their investments and D joins the partnership with C. After three year they got profit in the ratio of 12 : 14 : 17 : 8 (A : B : C : D). If difference between initial investment of B and C is 1150. Then Find out the total initial investment made by A and D together?
(a) 12100
(b) 14400
(c) 13800
(d) 15000
(e) None of these