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Answer (1)
Answer:Question 5: Which number should replace the question mark ("?")?Solution Process:The pattern in the grid seems to involve relationships between the numbers in the rows and columns. Let's analyze the differences between numbers in each row:Row 1: 17, 8, 5, 5. The differences are 17-8=9, 8-5=3, 5-5=0Row 2: 13, 7, 5, 4. The differences are 13-7=6, 7-5=2, 5-4=1Row 3: 6, 12, 6, 3. The differences are 6-12=-6, 12-6=6, 6-3=3Row 4: 10, 6, 4, ?. The differences are 10-6=4, 6-4=2. Following the pattern of decreasing differences, the next difference should be 1. Thus, 4-?=1, which means ?=3.Answer:The number that should replace the question mark is not among the options. The correct answer should be 3.Question 6: Which letter should come next in the series? Q, W, E, R, T,Solution Process:Let's analyze the positions of the letters in the alphabet:Q is the 17th letter.W is the 23rd letter.E is the 5th letter.R is the 18th letter.T is the 20th letter.There doesn't appear to be a clear arithmetic pattern. Let's consider vowel-consonant alternation.Q (consonant), W (consonant), E (vowel), R (consonant), T (consonant). The next letter could be a vowel.However, without a clear pattern, it's difficult to definitively determine the next letter.Assumption:Assuming the question intends to follow some pattern, I'll look for a pattern in differences.Q to W is +6W to E is -18E to R is +13R to T is +2There isn't a clear pattern.Answer:Without a clear pattern, it's hard to determine the next letter.Question 7: Which number should complete the series? 5, 7, 12, 6, 8, 14, 7, __, 16, 8, 10, 18Solution Process:Let's analyze the sequence: 5, 7, 12, 6, 8, 14, 7, __, 16, 8, 10, 18We can split this into two interleaved sequences:Sequence 1: 5, 12, 8, 14, __, 16, 10, 18Sequence 2: 7, 6, 7, 8Sequence 2 is increasing by 1 each time, so it would be 7, 6, 7, 8. This doesn't help us.Let's look at differences in Sequence 1:12-5 = 78-12 = -414-8 = 6Let's assume the next difference is -5. So, 14 + (-5) = 9Then the sequence would be 5, 7, 12, 6, 8, 14, 7, 9, 16, 8, 10, 18Answer:The missing number is likely 9. So the answer is D. 9Question 8: Which letter should come next in the series? J, A, S, O, N,Solution Process:Let's consider the positions of the letters in the alphabet:J is the 10th letter.A is the 1st letter.S is the 19th letter.O is the 15th letter.N is the 14th letter.The sequence doesn't seem to follow a simple arithmetic pattern.Assumption:Let's assume these letters represent the first letter of months in a year.J - JanuaryA - AprilS - SeptemberO - OctoberN - NovemberThe letters don't correspond to consecutive months.Answer:Without a clear pattern or context, it's difficult to determine the next letter in the series.Question 1: The product of x and the cube of ySolution Process:"The product of x and the cube of y" translates directly to a mathematical expression. "The cube of y" is \(y^3\). The product of x and \(y^3\) is \(x \cdot y^3\).Answer:\(x \cdot y^3\)Question 2: The sum of 8 and the quotient when a number 'z' divided by 2Solution Process:"The sum of 8 and the quotient when a number 'z' divided by 2".The quotient when a number 'z' is divided by 2 is \(\frac{z}{2}\).The sum of 8 and this quotient is \(8 + \frac{z}{2}\).Answer:\(8 + \frac{z}{2}\)Question 3: A number 'm' increased by 10 equals 23.Solution Process:"A number 'm' increased by 10 equals 23" translates to the equation \(m + 10 = 23\).Answer:\(m + 10 = 23\)Step-by-step explanation:
