IDAT Logical Reasoning 2

Question 1

All doctors are scientists. Some scientists are professors. Which conclusion must be true?

Accepted Answer

Some scientists are doctors

Answer

Since all doctors are scientists, doctors form a subset of scientists, so some scientists must be doctors.

Question 2

A sequence follows this rule: each term is the sum of the two preceding terms. If the sequence starts 3, 5, 8, 13 ... what is the next term?

Accepted Answer

21

Answer

13 + 8 = 21, following the rule that each term equals the sum of the two before it.

Question 3

If no hawks are doves, and all doves are birds, which statement is definitely false?

Accepted Answer

Some doves are hawks

Answer

Since no hawks are doves, it is impossible for any doves to be hawks — this contradicts the given premise.

Question 4

A store offers a 20% discount, then an additional 10% off the discounted price. What is the total percentage reduction from the original price?

Accepted Answer

28%

Answer

20% off gives 80% of original; 10% off that gives 72%, so the total reduction is 28%.

Question 5

In a class of 30 students, 18 play soccer and 14 play basketball. If 6 students play neither sport, how many play both?

Accepted Answer

8

Answer

Students in at least one sport = 30 − 6 = 24; using inclusion-exclusion: 18 + 14 − x = 24, so x = 8.

(IDAT) International Diagnostic and Admission Test Practice Test