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# Quantitative Aptitude Quiz For SBI/IBPS PO Mains 2021- 19th December

Directions (1 – 2): Read the passage below and solve the questions based on it.
Given data is based on population of Patna and Lucknow in two successive years. Female population in Patna grows by 50% to 60,000, but maintaining the same male to female ratio as previous year. Population in Lucknow increased by 12.5% to 90,000, but the ratio of male to female changed by 1 : 1 to 4 : 5. Male population in Patna was 10% more than the male population in Lucknow in the previous year.

Q1. What is the female population in Lucknow in the second year?
(a) 55,000
(b) 45,000
(c) 4,00,000
(d) 50,000
(e)60,000

Q2. What is the total population in Patna after the increase (i.e., in the second year)?
(a) 80,000
(b) 1,00,000
(c) 20,000
(d) 26,000
(e) 1,26,000

Q3. Find the speed of stream of river?
(a) 6 km/hr
(b) 8 km/hr
(c) 5 km/hr
(d) 10 km/hr
(e) 4 km/hr

Q4. After meeting, if they decided to return to their original places but Ramesh travelled for 19 km and Suresh travelled for 16 km, then what is the sum of time taken by both in covering these distances?
(a) 150 min
(b) 120 min
(c) 180 min
(d) 90 min
(e) 60 min

Directions (5-6): Given below is the distribution of total cost price of 5 different types of items and the profit percentage on total cost price and discount percentage on marked price.

[Note : Some of the values are missing, you are expected to calculate them according to the question and answer the question]

Q8. If manufacturing cost of Item D is 237.5% of the transportation cost of item B. And while selling item D, 1 item is given free for sales of every 10 item. If total 220 articles of item D are sold in the packets of 11 (10 + 1 free), then find the S.P. of each piece.
(a) 6350 Rs.
(b) 5750 Rs.
(c) 6325 Rs.
(d) 5725 Rs.
(e) 6420 Rs.

Directions (9-10): Answer these questions based on the information given below.
A and B together can do a piece of work in 16 days. B and C together can do the same work in 32 days. C can complete the same work in 80 days. After A has worked for 4 days, B for 12 days, time taken by C to complete the remaining job is x days.

Q9. P, Q and R take (x-28) days, (x-18) days and (x-8) days respectively to complete a job. The three work in a rotation to complete the job with only 1 person working on a day. Who should start the job so that the job is completed in the least possible time?
(a) P
(b) Q
(c) R
(d) Any one of the three
(e) Can’t be determined

Q10. Tap A takes (x-44) days to fill a tank. Tap B takes (x-42) days to fill the tank. If both the taps were opened simultaneously, by the time the tank was full, what fraction of the tank was filled by tap A?
(a) 2/5
(b) 2/3
(c) 1/5
(d) 3/5
(e) 1/4

Solutions

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