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Quantitative Aptitude Quiz For FCI Phase I 2022- 24th November

Q1. Ratio between length of trains A and B is 3 : 5. Speed of train A is 72 km/h and that of train B is 54 km/h & they are running opposite to each other. If train A cross’s train B in 16 seconds then find length of train B.
(a) 350 m
(b) 250 m
(c) 450 m
(d) 150 m
(e) 320 m

Q2. Ramesh and Ramu enter into a partnership with their initial sum Rs. 36000 and Rs. 48000 respectively. After 6 months, a third person Keshav also joins them with his initial sum Rs. 24000. After a year if total profit is Rs. 6400 then find the profit share of Ramu.
(a) Rs. 3000
(b) Rs. 2300
(c) Rs. 3200
(d) Rs. 2800
(e) Rs. 3600

Q3. The sum of present age of P and Q is 54 years. After 4 years, ratio of their ages will be 2 : 3. Find the present age of P.
(a) 25.2 years
(b) 24.6 years
(c) 21.8 years
(d) 20.8 years
(e) 22.6 years

Q4. In how many different ways the letters of the word ‘GAGUAR’ can be arranged?
(a) 220
(b) 180
(c) 60
(d) 120
(e) 160

Q5. A dice is thrown up find the probability of getting an odd no. on the upper face.
(a) 3/4
(b) 2/3
(c) 1/2
(d) 5/6
(e) 1/3

Q6. How many five digits number can be formed using the digits 1, 3, 4, 5, 6, 7 without repetition of digits?
(a) 120
(b) 144
(c) 720
(d) 840
(e) 420

Q7. The ratio of number of balls in bags x, y is 2 : 3. Five ball are taken from bag y and are dropped in bag x, number of balls are equal in each bag now. Number of balls in each bag now is
(a) 45
(b) 20
(c) 30
(d) 25
(e) 35

Q8. P, Q and R can do a job alone in 16 days, 24 days and 32 days respectively. If they started together then in how many days the work be completed?
(a) 5 days
(b) 8 days
(c) 12 days
(d) 96/13 days
(e) 95/11 days

Q9. Speed of a boat in still water is 8 km/h. It takes 5 hours to go upstream and 3 hours downstream distance between two points. What is the speed of stream?
(a) 4 km/h
(b) 2 km/h
(c) 3 km/h
(d) 1 km/h
(e) 2.5 km/h

Q10. Speed of a train is 90 km/h. It crosses a platform and a pole in 36 seconds and 6 seconds respectively. Find the length of platform.
(a) 450m
(b) 650 m
(c) 750m
(d) 850m
(e) 550m

Q11. The average age of Megha and Ritu is 18 years. Six years hence, Megha’s age will be two times of Ritu’s age. Find present age of Megha.
(a) 24 years
(b) 26 years
(c) 10 years
(d) 32 years
(e) 18 years

Q12. Compound interest and simple interest on a certain sum for two years are Rs. 1100 and Rs. 1000 respectively. If rate of interest for both S.I. and C.I is 20% p.a., then find the sum.
(a) Rs. 2500
(b) Rs. 2000
(c) Rs.3000
(d) Rs. 1800
(e) Rs. 2200

Q13. If average of five consecutive odd numbers is 33, then the least odd number is:
(a) 27
(b) 31
(c) 29
(d) 23
(e) 33

Q14. Ramesh invests certain sum into two schemes A & B in the ratio of 2 : 3 for 3 years. Scheme A and B offered S.I. at the rate of 10% and 8% per annum respectively. If total S.I. obtained from both schemes after 3 years was Rs. 3300, then find amount invested by Ramesh in scheme A was?
(a) Rs. 5000
(b) Rs. 6000
(c) Rs. 7500
(d) Rs. 8000
(e) Rs. 2500

Q15. Rahul got 76 marks in physics out of 100, 88 in Math out of 100, 96 in chemistry out of 120 and 114 in Geography out of 120. Find his overall percentage marks in all the four subjects?
(a) 76%
(b) 85%
(c) 75%
(d) 69%
(e) 89%

Solutions

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