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# Quantitative Aptitude Quiz For FCI Phase I 2022- 15th December

Q1. Deepak and Shivam together can complete a work in 6 days. If Deepak starts the work and works for 7 days, then remaining work was completed by Shivam in 4.5 days. Find efficiency of Deepak is what percent of that of Shivam’s?
(a) 50%
(b) 100%
(c) 150%
(d) 160%
(e) 125%

Q2. In how many ways a team of 4 members can be selected out of 5 boys and 4 girls. Team should have at least 2 boys and at least 1 girl?
(a) 25
(b) 50
(c) 100
(d) 125
(e) None of these

Q3. 50% of a mixture containing water and Sulphuric acid in ratio 1 : 2 is mixed with 40% of another mixture containing alcohol and water in ratio 3 : 2 so that ratio of alcohol: water : sulphuric acid becomes 12 : 13 : 10 in the final mixture. If sulphuric acid in initial mixture is 40 liter, Find total quantity of water and alcohol in final mixture?
(a) 25 liters
(b) 50 liters
(c) 75 liters
(d) 15 liters
(e) None of these

Q4. Dharam invest a sum of Rs. 15332 in two schemes for 2 years, one at 5% per annum SI and another at 10% per annum S.I and get total interest of Rs. 2334.8 (after 2 years). Find sum invested at 10% per annum?
(a) Rs. 7316
(b) Rs. 7016
(c) Rs. 8316
(d) Rs. 8016
(e) None of these

Q5. Radius of a circle whose area is 24.64 cm² is what percent of 14 cm length?
(a) 2%
(b) 12%
(c) 25%
(d) 20%
(e) 2.5%

Q6. Manoj and Mohit invested Rs. 5000 and Rs. 8000 in a business respectively and after 4 months Mohit withdrawn 50% of his initial investment and again after 4 months he reinvested 50% of amount of what he withdrawn. After a year they got total profit of Rs. 35090, Find profit share of Manoj (in Rs.)?
(a) 19140
(b) 15950
(c) 16050
(d) 17140
(e)none of these.

Q7. A shopkeeper makes fraud of 10% and 20% While buying and selling, find his overall profit percentage when he sold total quantity at cost price?
(a) 20%
(b) 25%
(c) 37.5%
(d) 30%
(e) 42.5%

Q8. Find no. of words which can be formed using letters of a English word ‘WINNER’?
(a) 120
(b) 720
(c) 240
(d) 360
(e) 540

Q9. In a cylinder if radius is twice of it’s height, find curved surface area of the cylinder is what percent of total surface area of the cylinder?
(a) 66.67%
(b) 37.5%
(c) 33.33%
(d) 62.5%
(e)50%

Q10. Two trains A and B start moving at same time from P and Q towards each other. Speed of Faster train is 300 km/hr. and speed of slower train is 80% of that of faster train. If both trains meet at point Q after 11.75 hr. Find Ratio of distance covered by slower train to difference between distance covered by faster train and slower train?
(a) 4 : 1
(b) 5 : 1
(c) 3 : 2
(d) 9 : 4
(e) 9 : 5

Q11. A and B together can complete a work in 45 days while B and C together can complete the same work in 60 days, if B is 50% more efficient than C, find ratio of efficiency of A to C ?
(a) 11 : 7
(b) 11 : 3
(c) 11 : 2
(d) 11 : 5
(e) 11 : 6

Q12. Two numbers A and B are in ratio 11 : 19, when 19 is added to A and 11 is added to B the ratio becomes 2 : 3, Find value of (20 + B)?
(a) 154
(b) 144
(c) 164
(d) 133
(e) 153

Q13. If 50 is added in a number, then it becomes 140% of itself. Find 20% of the given numbers is what percent of 37.5?
(a) 20%
(b) 100/3%
(c) 30%
(d) 200/3%
(e) none of these

Q14. If cost of fencing wire is Rs. 13 per meter around a square field and total cost of fencing is Rs. 1872. Find Area of the square field?
(a) 1296 m²
(b) 676 m²
(c) 2116 m²
(d) 1156 m²
(e) 1936 m²

Q15. If a book is marked 40% above the cost price and sold at 12.5% discount. Find Ratio of discount given to profit earned?
(a) 9 : 7
(b) 5 : 4
(c) 4 : 5
(d) 7 : 9
(e) none of these.

Solutions

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