Quantitative Aptitude Quiz For SBI PO Mains 2023- 17th January

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): A is twice efficient than B and B take 8 more days than C to complete a work. A took the contract to complete the same work in 6 days. 2 days later, he realized that he alone could only complete 60% work in given time period. So, he asked for help, B and C joined him for last 3 days and the work was completed on time.

Q5. Find the number of days taken by B and C to complete the same work.
(a) 7 days
(b) 7.5 days
(c) 12 days
(d) 16 days
(e) 8 days

Q6. If they all start work together and both A and C left the work after two days then B alone complete the remaining work. Find what % of total work was done by B.
(a) 71⅔%
(b) 71⅓%
(c) 61⅔%
(d) 63⅓%
(e) 72⅔%

Directions (7-8): Pipe A can fill a tank in 12 minutes and ratio of efficiency of pipe B to pipe C is 8 : 9. Pipe A and C together will fill 2 liters/minute more water in tank than that of pipe A and B together. Time taken by pipe B and C together to fill the same tank is 4(4/17) minutes.

Q8. If all three pipes are opened for 2 minutes to fill the tank each alternatively in the sequence of A then C and then B. Calculate water filled by pipe A is what % of water filled by Pipe C.
(a) 72.5%
(b) 75%
(c) 77.5%
(d) 80%
(e) 82.5%

Directions (9-10): There are 500 rooms in a multi-floored hotel. However, due to a change in rule, the hotel has to decrease the number of floors by 5. However, the management is able to put 5 more rooms in each floor. Over all, the number of rooms in the hotel decreases by 10%.

Q9. What is the number of floors and the number of rooms the hotel originally had?
(a) 10 floors 50 rooms
(b) 20 floors 20 rooms
(c) 20 floors 25 rooms
(d) 50 floors 10 rooms
(e) none of these

Q10. If the hotel has to increase the total no. of rooms to 600, then what is the additional number of rooms the hotel must put in each floor?
(a) 20
(b) 15
(c) 10
(d) 25
(e) None of these

Solutions