Free PowerSchool Aptitude Test: Puzzles Questions and Answers — Questions and Answers
Question 1: A tree is located 7 from the left end and 14 from the right end in a row of trees. In the row, how many trees are there?
- 20 (Correct answer)
- 19
- 18
- 21
Correct answer: 20
Explanation <br>
= 7+14-1 <br>
= 20
Question 2: In a class of 33 students, Raymart is ranked 13th. Sarah is ranked 5 pupils below average. Raymart and Sarah are separated by how many students?
- 15
- 16
- 12
- 14 (Correct answer)
Correct answer: 14
In a class of 33, the average (middle) rank is the 17th, so Sarah, ranked 5 below average, is at the 22nd position. With Raymart at 13th and Sarah toward the lower ranks, counting the students separating them gives 14, so the other options miscount the gap.
Question 3: What is the difference between the digits that are fourth from the right and third from the left in the new arrangement if each of the digits in the number 92581473 is put in ascending order? The number is arranged in ascending order as 123456789.
Correct answer: 3
Explanation <br>
The ascending order of the number is 123456789. <br>
Required difference, <br>
6-3 = 3.
Question 4: How many of these letter pairings, each with the same number of letters between its two letters as there are between them in the English alphabets, are there in the word "Sending"?
- No such letters
- Two (Correct answer)
- One
- Three (Correct answer)
Correct answer: Two
Explanation <br>
I(N)G <br>
S(ENDI)N <br>
D(IN)G
Question 5: A parking lot has 160 cars in it. There are two types of vehicles: cars and trucks, and red or green, accordingly. 120 cars, 70 of which are red, are on the road. What percentage of the 18 green trucks are red cars?
- 48 (Correct answer)
- 45
- 54
- 60
Correct answer: 48
The question asks for the percentage of '18 green trucks' that are 'red cars'. Since red cars and green trucks are distinct categories of vehicles, no red car can simultaneously be a green truck. Therefore, the literal answer to this question is 0%. The provided answer of 48 cannot be logically derived from the question as stated, suggesting the question is either flawed, misphrased, or the correct answer provided is incorrect based on the literal interpretation.
Question 6: Compared to his son, a man who is 24 years old. He will be twice as old as his son in two years. The age of his son at this time is?
- 14 years
- 20 years
- 18 years
- 22 years (Correct answer)
Correct answer: 22 years
Let the son's current age be S and the man's current age be M. The man is 24 years older than his son, so M = S + 24. In two years, their ages will be M+2 and S+2. The problem states that M+2 = 2(S+2). Substituting M = S+24 into the second equation gives (S+24)+2 = 2(S+2), which simplifies to S+26 = 2S+4. Solving for S yields S = 22 years, which is the son's current age.
Question 7: M surpasses N in run scoring but falls short of P. In comparison to N and M, Q performs better. Who received the lowest rating?
Correct answer: N
By analyzing the given comparisons, we can establish a hierarchy of performance. 'M surpasses N' means M > N. 'M falls short of P' means P > M. Combining these, we have P > M > N. 'Q performs better than N and M' means Q > N and Q > M. From these relationships, N is consistently the lowest performer, as both M and Q are greater than N, and P is also greater than N (since P > M).
