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Deloitte Aptitude Questions 2014
Posted on :16-02-2016
DELOITTE Aptitude Questions
Q1. The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 275, then the mean profit for the last 15 days would be
A) Rs. 200B) Rs. 350C) Rs. 275D) Rs. 425
Average would be : 350 = (275 + x)/2On solving, x = 425.
Q2. There were 35 students in a hostel. If the number of students increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head diminishes by Re 1. Find the original expenditure of the mess.
A) Rs. 480B) Rs. 520C) Rs. 420D) Rs. 460
Let d be the average daily expenditureOriginal expenditure = 35 × dNew expenditure = 35 × d + 42New average expenditure will be :(35 × d + 42)/42 = d - 1On solving, we get d = 12Therefore original expenditure = 35 × 12 = 420
Q3. The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day Rs. 1,325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?
A) Rs. 750B) Rs. 1000C) Rs. 850D) Rs. 1250
Explanation:Let x be the number of passengers and y be the fare taken from passengers.3xy + 50xy = 1325 => xy = 25Amount collected from II class passengers = 25 × 50 = Rs. 1250.
Q4. A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hour and the speed of the current is 3 km/hour, the distance between A and B is
A) 4 kmB) 8 kmC) 6 kmD) 12 km
Explanation:Let D is the distance travelled. Then,D/(9+3) + D/(9-3) = 3 => D = 12
Q5. A man while returning from his factory, travels 2/3 of the distance by bus, 3/4 of the rest partly by car and partly by foot. If he travels 2 km on foot, find the distance covered by him.
A) 24 kmB) 22 kmC) 28 kmD) 26 km
Q6. The fuel indicator in a car shows 1/5th of the fuel tank as full. When 22 more liters of fuel are poured in to the tank, the indicator rests at the 3/4of the full mark. Find the capacity of the tank.
A) 25 litresB) 35 litresC) 30 litresD) 40 litres
Explanation:x/5 + 22 = 3x/4 => x = 40 litres
Q7. A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 m3. The emptying capacity of the pump is 10m3 per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.
A) 45 m3/minB) 40 m3/minC) 50 m3/minD) 55 m3/min
Q8. A sum of money is accumulating at compound interest at a certain rate of interest. It simple interest instead of compound were reckoned, the interest for the first two years would be diminished by Rs. 20 and that for the first three years, by Rs 61. Find the sum
A) Rs. 7000B) Rs. 8000C) Rs. 7500D) Rs. 6500
Q9. In a kilometer race, A can give B a 100 m start and C a 150 m start. How many meters start can B give to C?
A) 50B) 50/9C) 8500/9D) 500/9E) None of these
Explanation:A can give B a 100 m start and C a 150m. Start means when A runs 1000m, B runs 900m and C runs 850m. When B runs 1000m, C will run 1000 x (850/900) m (i.e. 8500/9 m) Thus, B can give C a start of - 1000 - (8500/9), i.e. 500/9 m.
Q10. The average age of all the student of a class is 18 years. The average age of boys of the class is 20 years and that of the girls is 15 years. If the number of girls in the class is 20, then find the number of boys in the class.
A) 15B) 45C) 30D) 50
Explanation:Let Boys in class = BGirls in class = 20Now, (20B+15*20)/(B+20) = 18 => B = 30