Quantitative Aptitude Quiz For FCI Phase I 2022- 29th September

Q1. A and B invested into a partnership with Rs. 24000 together for 8 months, 80% of amount invested by A is equal to 4/7 th of investment of B. If A increases his investment by Rs. 4000 after 8 months and B continues with his initial amount, then find profit share of B out of total profit of Rs. 7600 after a year of investment?
(a) Rs. 2100
(b) Rs. 3800
(c) Rs. 4200
(d) Rs. 3400
(e) Rs 3200

Q2. Two alloys containing nickel: aluminum: tin and nickel: tin in ratio 1:2:3 and 3:2 respectively are mixed in ratio 6:5 respectively to form another alloy so that tin in final alloy becomes 60 kg, find quantity of aluminum in final alloy?
(a) 30 kg
(b) 24 kg
(c) 20 kg
(d) 15 kg
(e) None of these.

Q3. In how many ways a team of 11 players can be formed from 12, 5, and 4 players of India, Australia and England respectively having at least 8 player of India and exactly 2 players from Australia?
(a) 22000
(b) 19800
(c) 20000
(d) 19200
(e) 21800

Q4. Two identical walls of same height can be built in 8hr and 10hr by A and B respectively. If both starts building the wall at the same time, find after how much time ratio of the unbuild part of walls built by A and B become 15:16?
(a) 4hr
(b) 2hr
(c) 3hr
(d) 5hr
(e) 6hr

Q5. 5 men and 3 women can earn Rs. 4550 working together for 7 hours a day whereas 3 men and 5 women can earn Rs. 6600 working together for 12 hours a day. Find in how many hours 2 men and 2 women can earn Rs. 2100 working together?
(a) 8hr
(b) 5hr
(c) 10hr
(d) 7hr
(e) 6hr

Q6. A boy was asked to find the value of 3/5 th of the sum of money. He divides the sum by 3/5 th instead of multiplying, due to which he exceeds the value by 512. Find the initial sum of money.
(a) Rs 450
(b) Rs 520
(c) Rs 540
(d) Rs 480
(e) Rs 560

Q7. The HCF of two numbers is 15 and LCM of two number is 180. If one number is 45, then find the other number.
(a) 54
(b) 60
(c) 72
(d) 63
(e) 90

Q8. There are 15 persons lives in PG. If average monthly income of 8 persons is Rs 37000 and average monthly income of remaining persons is Rs 40000. Find the average monthly income of the group?
(a) Rs 37600
(b) Rs 38800
(c) Rs 38400
(d) Rs 36400
(e) Rs 37400

Q9. The ratio of spirit and water in two mixtures of 24 liters and 42 liters is 7 : 5 and 5 : 9 respectively. Both the mixtures are mixed together. Now the ratio of the spirit and water in the new mixture is
(a) 21 : 29
(b) 29 : 35
(c) 37 : 29
(d) 29 : 37
(e) 31 : 29

Q10. Volume of right circular cylinder is twice of the volume of sphere. Radius of the base of the cylinder is same as the radius of the sphere. If height of the cylinder is 8 cm, then find the total surface area of the cylinder.
(a) 64π cm²
(b) 66π cm²
(c) 78π cm²
(d) 72π cm²
(e) 63π cm²

Q11. Harish covers a distance of 720 km in 8 hours. If speed of Shivam is 4/3 rd of the speed of Harish, then find time taken by Shivam to cover 3/4 th of the distance that is covered by Harish.
(a) 5 hours
(b) 3.6 hours
(c) 4 hours
(d) 4.5 hours
(e) 5.2 hours

Q12. A and B invests a total amount of Rs 10000 in two schemes respectively for two years. A invests at rate of 10% per annum at CI while B invests at rate of 12.5% at SI. If interest earned by B is Rs 660 more than A, then find amount invested by B.
(a) Rs 4000
(b) Rs 5500
(c) Rs 6000
(d) Rs 6500
(e) Rs 5000

Q13. A boatman starts streaming from a point in downstream. After covering a distance of 180 km, the boatman returns to initial point. If the speed of the boat in still water is 36 kmph and speed of stream is 9 kmph. Find the total time taken by boatman during his whole trip.
(a) 9 hour 30 min
(b) 10 hour 40 min
(c) 8 hour 20 min
(d) 9 hour 50 min
(e) 10 hour 30 min

Q14. The ratio between the curved surface area and total surface area of right circular cylinder is 3 : 5. If the volume of the cylinder is 96π cm³, then find the curved surface area of the cylinder.
(a) 48π cm²
(b) 52π cm²
(c) 46π cm²
(d) 54π cm²
(e) 60 π cm²

Q15. There are 4 consecutives even numbers. If sum of first three numbers is 108, then calculate the product of smallest and largest no.
(a) 1260
(b) 1292
(c) 1280
(d) 1360
(e) 1428

Solutions