EJU Japan · EJU Mathematics Course 1

Sets and Logic

19 practice questions, each with the answer and an explanation.

Practise Sets and Logic now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 19 questions

In a group of 50 students, 33 play tennis, 21 play badminton and 5 play neither. How many play both?
In a group of 50 students, 33 play tennis, 28 play badminton and 10 play neither. How many play both?
In a group of 80 students, 42 play tennis, 40 play badminton and 7 play neither. How many play both?
In a group of 50 students, 31 play tennis, 17 play badminton and 4 play neither. How many play both?
In a group of 50 students, 22 play tennis, 25 play badminton and 7 play neither. How many play both?
In a group of 40 students, 15 play tennis, 24 play badminton and 9 play neither. How many play both?
Regarding $x = 2$ as a condition for $x^{2} = 4$ , which statement is correct?
Regarding $x^{2} = 4$ as a condition for $x = 2$ , which statement is correct?
Regarding $x > 3$ as a condition for $x > 1$ , which statement is correct?
Regarding $x > 1$ as a condition for $x > 3$ , which statement is correct?
Regarding $x y = 0$ as a condition for $x = 0$ , which statement is correct?
Regarding $x = 0$ and $y = 0$ as a condition for $x^{2} + y^{2} = 0$ , which statement is correct?
Regarding $a > b$ as a condition for $a^{2} > b^{2}$ , which statement is correct?
Regarding $x$ is a multiple of 6 as a condition for $x$ is a multiple of 3, which statement is correct?
Regarding $x$ is a multiple of 3 as a condition for $x$ is a multiple of 6, which statement is correct?
Regarding $x$ is an even number as a condition for $x$ is a multiple of 4, which statement is correct?
Regarding A quadrilateral is a square as a condition for It is a rectangle, which statement is correct?
Regarding $x^{2} - 5 x + 6 = 0$ as a condition for $x = 2$ or $x = 3$ , which statement is correct?
Regarding $∣ x ∣ < 2$ as a condition for $x < 2$ , which statement is correct?

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