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Free Practice Questions for ESOGN Gendarmerie
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Sample ESOGN Gendarmerie Practice Questions
Try these sample questions to review concepts for the ESOGN Gendarmerie exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 27+ question experience with AI tutoring.
1A group of 24 people has food for 15 days at a fixed ration per person. Six people join. With no waste or new supplies, how long will the food last?
A.10 days
B.12 days
C.14 days
D.18 days
Explanation: The stock represents 24 × 15 = 360 person-days. Dividing by the new group of 30 gives 12 days.
2An item costs 45,000 FCFA before a 12% discount. What is the discounted price?
A.38,400 FCFA
B.40,200 FCFA
C.39,600 FCFA
D.41,500 FCFA
Explanation: The discount is 45,000 × 0.12 = 5,400 FCFA. Subtracting gives 39,600 FCFA.
3Assume 1,200,000 FCFA earns simple interest at 4.5% annually for three years. How much interest is earned?
A.144,000 FCFA
B.158,000 FCFA
C.180,000 FCFA
D.162,000 FCFA
Explanation: Simple interest is principal × rate × time. Thus 1,200,000 × 0.045 × 3 = 162,000 FCFA, without compounding.
4A vehicle travels 45 km at 60 km/h and returns the same 45 km at 90 km/h. With no stops, what is its overall average speed?
A.72 km/h
B.75 km/h
C.76.5 km/h
D.78 km/h
Explanation: The travel times are 45/60 = 0.75 hours and 45/90 = 0.5 hours. Total distance 90 km divided by 1.25 hours gives 72 km/h.
5A machine uses 180 litres per hour at a constant rate. How much does it use in two hours and 45 minutes?
A.465 litres
B.495 litres
C.480 litres
D.510 litres
Explanation: Two hours and 45 minutes is 2.75 hours. Multiplying 180 × 2.75 gives 495 litres.
6Divide 7,200,000 FCFA among A, B and C in the ratio 15:20:25. What is B's share?
A.1,800,000 FCFA
B.3,000,000 FCFA
C.2,400,000 FCFA
D.2,800,000 FCFA
Explanation: There are 60 ratio parts in total. B receives 20/60 of 7,200,000, which is 2,400,000 FCFA.
7A numerical exercise starts at 1,200 and adds 300 each day for ten days, including day one. What is the sum of the ten daily values?
A.24,000
B.26,800
C.28,500
D.25,500
Explanation: The tenth value is 1,200 + 9 × 300 = 3,900. The sum is ten times the mean of the endpoints: 10 × (1,200 + 3,900)/2 = 25,500.
8A box initially contains five red and three blue cards. One uniformly random card is removed, but its colour is hidden. You then learn that it was not blue. What is the probability that the next uniformly random card is blue, without replacement?
A.3/7
B.3/8
C.2/7
D.5/8
Explanation: The information establishes that a red card was removed. Seven cards remain, including all three blue cards, so the conditional probability is 3/7. There is no need to multiply by the probability of the already established first result.
9A 60-litre mixture contains 20% antifreeze. Assuming additive volumes, how much pure antifreeze must be added to reach 40%?
A.15 litres
B.20 litres
C.18 litres
D.24 litres
Explanation: Initially there are 12 litres of antifreeze. Solve (12 + x)/(60 + x) = 0.40, giving 0.60x = 12 and x = 20 litres.
10A sequence adds seven each time: 4, 11, 18, 25, 32. What is next?
A.37
B.38
C.39
D.41
Explanation: The stated common difference is seven. Adding seven to 32 gives 39.
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