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Directions: Each question consists of two statements containing certain data. Your task is to determine whether the data provided by the statements is sufficient to answer the question.
Question 1
| Class | Average Age | No. of Students |
| A | 15 years | 6 |
| B | 16 years | 12 |
Is the standard deviation of ages of students in class A greater than the standard deviation of the age of students in class B?
The difference between the ages of any two students in class A is always more than 1 year.
No student in class B is more than 6 months older than any other student.
A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not.
B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not.
C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient.
D. Either statement by itself is sufficient to answer the question.
E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.
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Question 2
Todd’s construction company is capable of building 40 houses a year. Todd’s brother Mike also owns a construction company. How long does it take the two companies together to build 64 houses?
Mike’s construction company is capable of building houses twice as fast as Todd’s company does.
Mike’s construction company is capable of building 20 houses every three months.
A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not.
B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not.
C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient.
D. Either statement by itself is sufficient to answer the question.
E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.
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Question 3
Are the integers q, r, and s consecutive?
The average (arithmetic mean) of q, r, and s is r.
r – q = s – r
A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not.
B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not.
C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient.
D. Either statement by itself is sufficient to answer the question.
E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.
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Question 4
For a certain performance at a concert hall, a total of 2,350 tickets were sold in the orchestra, first mezzanine, and second mezzanine. How many orchestra tickets were sold?
The number of first mezzanine tickets sold was one-half the number of second mezzanine tickets sold.
The total number of first and second mezzanine tickets sold was 50 percent greater than the number of orchestra tickets sold.
A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not.
B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not.
C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient.
D. Either statement by itself is sufficient to answer the question.
E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.
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Question 5
What is the value of b ?
2a – b = 3
a = b – (1 – a)
