Analytical Puzzles

Multi-step analytical reasoning and deduction puzzles.

Analytical Puzzles Puzzles

Medium

A factory produces 480 items in 8 hours. At the same production rate, how many items will it produce in 13 hours?

Hard

A worker earns ₹1,200 for 8 hours of work. At the same hourly rate, how much will the worker earn for 11 hours?

Hard

A delivery route has four sections of 12 km, 18 km, 25 km and 15 km. The driver completes the route twice. What total distance does the driver travel?

Expert

A school has 240 students. 55% are boys. How many girls are there?

Hard

A reservoir contains 1,500 litres. It loses 8% of its water through evaporation. How much water remains?

Medium

A company has 120 employees. 70 know Python, 50 know Java, and 30 know both. How many know at least one of the two languages?

Hard

In a survey of 100 students, 60 like cricket, 45 like football and 25 like both. How many like neither sport?

Hard

A class has 40 students. 22 study mathematics, 18 study science, and 10 study both. How many study exactly one of the two subjects?

Medium

A machine produces 240 units in 6 hours at a constant rate. How many units will it produce in 9 hours?

Hard

A project has four tasks. A takes 3 days, B takes 5 days, C takes 2 days and D takes 4 days. A and B must finish before C starts, and C must finish before D starts. What is the minimum project duration if tasks cannot overlap?

Expert

A test contains 50 questions. A correct answer gives 2 marks and an incorrect answer gives -1 mark. A student attempts all questions and scores 70 marks. How many answers were correct?

Hard

A tank is filled by two pipes. Pipe A fills it in 6 hours and Pipe B fills it in 3 hours. If both operate together, how long will they take to fill the tank?

Expert

A train 150 metres long passes a pole in 10 seconds. What is its speed in km/h?

Medium

A company has 5 departments with 12, 15, 18, 10 and 20 employees. What is the average number of employees per department?

Hard

A worker completes 3/5 of a job in 6 days at a constant rate. How many total days would the worker need to complete the entire job?

Medium

Four students A, B, C and D each prefer a different subject: Mathematics, Science, English and History. A does not prefer Mathematics or History. B prefers Science. C does not prefer English. D does not prefer Mathematics. Which subject does A prefer?

Hard

Five people P, Q, R, S and T stand in a line. P is before Q. R is immediately before S. T is after Q. Which of the following can be a valid order?

Hard

Five tasks A, B, C, D and E must be completed in order subject to these rules: A before C, B before D, C before E, and D before E. Which task must be completed last?

Medium

Four books A, B, C and D are arranged on a shelf. A is somewhere before C. B is immediately after A. D is at the right end. What is the arrangement?

Hard

Six runners A, B, C, D, E and F finish a race. A finishes before B. C finishes after D but before E. F finishes before A. Which runner cannot finish first?

Hard

A meeting has four presentations: P, Q, R and S. P must occur before Q. R must occur immediately after S. Q cannot be first. Which sequence is valid?

Medium

Three employees A, B and C work on Monday, Tuesday and Wednesday, one employee per day. A does not work Monday. B works before C. Who works Monday?

Hard

Four boxes A, B, C and D contain numbers 1, 2, 3 and 4, one number per box. A contains a number greater than B. C contains 1. D does not contain 4. What number must B contain?

Hard

A code has four positions. The digits 1, 2, 3 and 4 are each used exactly once. Digit 1 is not first. Digit 4 is immediately before digit 2. Digit 3 is not last. What is the code?

Medium

A teacher has five cards numbered 1 to 5. She places them in a row. Card 1 is immediately before card 2. Card 5 is somewhere after card 3. Which arrangement satisfies these conditions?

Hard

Five people—A, B, C, D and E—sit in a row. A sits to the left of B. C sits to the right of D. E sits at one of the two ends. If D sits immediately to the left of B, who can sit in the middle?