Sidis IQ APTITUDE & ABILITY   -   Logical Reasoning

In a group of employees, 60% are women, 40% are managers, and 20% are both women and managers. If every manager is a woman, what percentage of the women are managers?

Since every manager is a woman, the percentage of women who are managers is the same as the percentage of managers, which is 40%. Therefore, the percentage of women who are managers is 60%×40%=33.33%.
Sidis IQ APTITUDE & ABILITY   -   Logical Reasoning

Among a group of friends, each person either speaks Spanish, French, or German. If 8 people speak Spanish, 6 people speak French, and 4 people speak German, what is the maximum number of people in the group?

The maximum number of people in the group is the sum of people who speak Spanish, French, and German. So, 8+6+4 = 18.
Sidis IQ APTITUDE & ABILITY   -   Logical Reasoning

If all fruits are vegetables and some vegetables are red, which of the following statements is necessarily true?

From the given information, we can infer that at least some fruits are vegetables, and some vegetables are red. Therefore, it must be true that some fruits are red.
Sidis IQ APTITUDE & ABILITY   -   Logical Reasoning

Among a group of students, 20 like mathematics, 15 like science, and 10 like both mathematics and science. If every student in the group likes at least one subject, what is the minimum number of students in the group?

The minimum number of students in the group is the sum of students who like mathematics and those who like science, minus the number of students who like both subjects. So, 20+15−10 = 25 Since every student likes at least one subject, the minimum number of students is 25 + 10 = 35.
Sidis IQ APTITUDE & ABILITY   -   Logical Reasoning

In a group of friends, Alice is taller than Bob, Bob is taller than Carol, and Carol is taller than David. If Alice is not the tallest in the group, which of the following must be true?

If Alice is not the tallest, then someone else in the group must be taller than Alice. Since Bob is taller than Carol and Carol is taller than David, David must be the shortest in the group.

IQ APTITUDE & ABILITY