Placement Aptitude Challenge #2

A project team of 5 members is to be selected from a pool of 7 software developers and 6 data analysts. In how many different ways can the team be formed if it must include at least 3 software developers?

The profit obtained by selling an article for Rs 480 is twice the loss obtained by selling for Rs 300. What is the cost price of the article?

If all 6s get inverted and become 9s, between 1 and 100 then by how much will the sum of all numbers change including both?

Two automated warehouse cranes are positioned 500 cm apart on the same rail, facing each other. Each crane moves 100 cm toward the other at a speed of 50 cm/s, then moves back 50 cm at a speed of 25 cm/s before repeating the cycle. How many seconds operator has to stop before the cranes collide?

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

A rectangular garden is 20 meters long and 15 meters wide. A path of uniform width is constructed around the garden. If the area of the path is equal to the area of the garden, the width of the path is:

A group of tourists is visiting Europe. Among them, 6 tourists can speak French, 15 can speak German, and 6 can speak Spanish. Every tourist can speak at least one of these three languages, and none can speak any language other than these three. If 2 tourists can speak exactly two of these languages and 1 tourist can speak all three languages, how many tourists are there in the group?

A whole number m which when divided by 5 gives 2 as remainder. What will be the remainder when 3m + 4 is divided by 5?

A water tanker needs to deliver 324 kilolitres of water in 48 hours. During the first 10 hours, it delivered water at an average rate of 6 kilolitres per hour. In the next 10 hours, the average delivery rate increased to 8.5 kilolitres per hour. Over the following 10 hours, the rate dropped to 5.5 kilolitres per hour, and in the next 10 hours, it improved again to 7 kilolitres per hour. What average delivery rate (in kilolitres per hour) is required during the remaining time to complete the target?

In a school election, the winning candidate secured 60% of the valid votes. If 15% of the total votes were declared invalid, and the total number of votes cast was 8000, how many valid votes did the winning candidate get?