1.
Aditya covered a certain distance at some speed. Had he moved 3 km/h faster he would have taken 40 minute less. If he had moved 2 km/h slower, he would have taken 40 minutes more. The distance is:
2.
A bus takes 15 hours to go from Delhi to Chandigarh. Bus go one-third time with speed of 80 km/h. 40% of rest time with speed of 70 km/h. 2/3rd of rest of time with speed of 85 km/h rest with speed of 100 km/h. What is the distance that cover by bus?
3.
In a race of one kilometer, A gives B a start of 100 metres and still wins by 20 seconds. But if A gives B a start of 25 seconds, B wins by 50 metres. The time taken by A to run one kilometer is:
4.
A man covers a certain distance between his house and office on scooter. Having an average speed of 30 km/hr, he is late by 10 min. However, with a speed of 40 km/hr, he reaches his office 5 min earlier. Find the distance between his house and office.
5.
The distance between two stations, Delhi and Amritsar, is 450 km. A train starts at 4 p.m. from Delhi and moves towards Amritsar at an average speed of 60 km/hr. Another train starts from Amritsar at 3.20 p.m. and moves towards Delhi at an average speed of 80 km/hr. At what time will the two trains meet ?
6.
A, B and C can walk at the rates of 3, 4 and 5 km per hour respectively. They starts from Pune at 1, 2, 3 o’clock respectively. When B catches A, B sends him back with a message to C. When will C get the message?
7.
Two trains start at the same time from two stations and proceed towards each other at the rates of 20 km and 25 km per hour respectively. When they meet, it is found that one train has travelled 80 km more than the other. Find the distance between the two stations.
8.
A goods train and a passenger train are running on parallel tracks in the same direction. The driver of the goods train observes that the passenger train coming from behind overtakes and crossed his train completely in 60 seconds. Whereas a passenger on the passenger train marks that he crossed the goods train in 40 seconds. If the speed of the train be in the ratio of 1 : 2, find the ratio of their lengths.
9.
A train after travelling 50 km meets with an accident and then proceeds at 34 of its former speed and arrives at its destination 35 minutes late. Had the accident occurred 72 km further, it would have reached the destination only 15 minutes late. The normal speed of the train is
10.
Two trains measuring 100 m and 80 m respectively, run on parallel lines of track. When travelling in opposite directions they are observed to pass each other in 9 seconds, but when they are running in the same direction at the same rate as before, the faster train passed the other in 18 seconds. Find the speed of the two trains in km per hour.
11.
If the square of sum of three positive consecutive natural numbers exceeds the sum of their corresponding squares by 484 then what is the largest of the three numbers?
12.
A, B and C can complete a work in 10, 12 and 15 days respectively. All three of them start together but after 3 days A leaves the job and B left the job 2 days before the work was completed. C completed the remaining work alone. In how many days was the total work completed?
13.
An article is listed at Rs 1925. A man purchases it at two successive discounts of 40% and 60% and spends Rs 185 on repairing of article. If he sells the article at a profit of 58.5%, then what is the selling price (in Rs) of the article?
14.
If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the value of A+B :B+ C : C – D?
15.
A group of girls has an average weight of 34 kg. One girl weighing 58 kg leaves the group and another girl weighing 40 kg joins the group. If the average now becomes 33.4 kg, then how many girls are there in the group?
16.
A dealer sells two bikes at Rs 14000 each. On one he gains 20% and on the other he loses 20%. Had he marked up their prices by 25% and give 10% discount, then what is his profit/loss percentage in the transaction?
17.
In an examination, 62% student passed in geography and 59% of students passed in English. If 6% of students failed in both the subjects, then what is the percentage of students who have passed in both the subjects?
18.
A car starts running with the initial speed of 20 km/h and its speed increases every hour by 4 km/h. How many hours will it take to cover a distance of 504 km?
19.
The SI and CI that can be earned by a man in two years at the same rate is Rs 8000 and Rs 8360 respectively. If he gives a loan of Rs 15000 to his friend at the same rate (percent per annum) of interest at simple interest, how much will he earn from his friend in 3 years?
20.
A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?
21.
A sum of money placed at compound interest double itself in 4 years. In how many years will it amount to four times itself?
22.
The compound interest on Rs. 30,000 at 7% per annum for a certain time is Rs. 4,347. The time is:
23.
A sum of Rs. 8000 will amount to Rs. 8820 in 2 years. The rate of compound interest is:
24.
A principal of Rs. 10,000, after 2 years compounded annually, the rate of interest being 10% per annum during the first year and 12% per annum during the second year (in rupees) will amounts to:
25.
Two equal vessels are filled with the mixture of water and milk in the ratio of 3 : 4 and 5 : 3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be