1. A sold his car to B at 20% profit of the cost price but incurred a net loss of 10% because of extra expenses. What percent of the total cost was spent on extra expenses?
(1) 25%
(2) 33.33
(3) 20%
(4) 15%
2. A & B can dig a trench 100 m long in 10 & 20 hours respectively. At what distance from A should A & B interchange their positions so that they meet exactly at the centre if they start from opposite ends.
(1) 33.33 m
(2) 25 m
(3) 40 m
(4) 27 m
(5) None of these
3. A boy walking at a speed of 20 km/h reaches his school 30 min late. Next time he increases his speed by 4 km/h but still he is late by 10 min. Find the distance of the school from his home.
(1) 30 km
(2) 40 km
(3) 25 km
(4) 32 km
(5) None of these
4. 2 men and 5 women can complete a piece of work in 12 days. 5 men and 2 women can complete the same work in 9 days. In how many days can 3 women complete the work alone.
(1) 36 days
(2) 21 days
(3) 30 days
(4) 42 days
(5) None of these
5. Two pipe X and Y can fill a cistern in 24 minutes and 32 minutes respectively. If both the pipes are opened together, then after how much time (in minutes) should Y be closed so that the tank is full in 18 minutes?
(1) 5
(2) 10
(3) 8
(4) 6
(5) None of these
6. The average age of a class of 35 students is 15 years. If the teacher’s age is also included the average age increased by one year. Furthermore, if the average age of the teacher’s family having a wife and a son is 40 years and the son’s age is 80% less than his mother’s age, then the age of the teacher’s wife is
(1) 55.5 years
(2) 57.5 years
(3) 50 years
(4) 47.5 years
(5) None of these
7. A man can row a boat 30 km/h upstream and 44 km/hr downstream in 10 hours. Also he can row the boat 40 km/hr upstream and 55 km/h downstream in 13 hours. Find the speed of boat in still water?
(1) 3 km/hr
(2) 8 km/hr
(3) 10 km/hr
(4) 6 km/hr
(5) None of these
8. In an election between two candidate, one got 55% of the total valid votes, 20% of the votes were invalid. It the total number of votes was 7500, the number of valid votes that the other candidate got, was?
(1) 2700
(2) 2900
(3) 3000
(4) 3100
(5) None of these
9. A sum of money becomes Rs. 13,380 after 3 years and Rs. 20,070 after 6 years on compound interest. The sum is :–
(1) Rs. 9040
(2) Rs. 8890
(3) Rs. 8920
(4) Rs. 8800
(5) None of these
10. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at 36 km/hr and 42 km/hr respectively, when they meet, it is found that one train has travelled 48 km more than the other. The distance between the two station (in km) is:–
(1) 624
(2) 544
(3) 460
(4) 636
(5) None of these
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