Of 80 students, 28 take the bus, 44 take the train and 10 do neither. How many do both?
Answer and explanation
Correct answer: D. 2
- Step 1: Students doing at least one = 80 - 10 = 70; use total = A + B - both. Step 2. 28 + 44 - 2 = 70 = 80 - 10, so 2 do both. Answer: 2. Why not the others: 42, 5 and 0 each come from skipping the overlap or the 'neither' group in the working.
Practise more Logic, syllogisms and ordering.
Free questions with an explanation for every one, and full timed UCAT mock tests.
More Logic, syllogisms and ordering questions
- A fair six-sided die is rolled twice. What is the probability that the total is 8?
- Of 60 students, 34 play football and 26 play tennis. 21 do both. How many do neither?
- On an island each person either always tells the truth or always lies. Isla says: "At least two of the three of us are liars." Kiran says: "…
- 4 people (Amira, Chloe, Isla, Zara) are ranked from oldest to youngest. Zara is older than Isla. Amira is immediately older than Zara. Zara…
- All nurses on ward 4 are trained in resuscitation. Some trained in resuscitation also work on the night shift. Which conclusion must be true…
- 5 people (Amira, Femi, Grace, Jamal, Leah) are ranked from oldest to youngest. Amira is older than Femi. Jamal is immediately older than Fem…