Quantitative Arithmetic

This is an MCQ-based quiz on GMAT, which includes questions on Quantitative reasoning (Arithmetic).

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Is 3 the average of a sequence?
(1)There are 3 numbers in the sequence
(2)The mode of the sequence is 3

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

Calculate the average of the 5 integers.
Statement 1: They are consecutive even integers.
Statement 2: The smallest of the integers is 8 less than the largest of the five integers.

Statements 1 and 2 TOGETHER are NOT sufficient.

Statement 2 ALONE is sufficient, but statement 1 is not sufficient.

EACH statement ALONE is sufficient.

BOTH statements TOGETHER are sufficient, but NIETHER statement ALONE is sufficient.

Statement 1 ALONE is sufficient, but statement 2 is not sufficient.

What is the arithmetic mean of a data set with twenty data values, each of which is a positive integer?
1) The sum of the odd values is 1,144 and the sum of the even values is 856.
2) The sum of the lowest ten values is 400 and the sum of the greatest ten values is 1,600.

Statement 2 ALONE is sufficient, but Statement 1 alone is not sufficient.

Statement 1 ALONE is sufficient, but Statement 2 alone is not sufficient.

EACH statement ALONE is sufficient.

BOTH statements TOGETHER are sufficient, but neither statement ALONE is sufficient.

Statements 1 and 2 TOGETHER are not sufficient.

A meteorologist is attempting to calculate the average (arithmetic mean)  temperature highs for the past week. What is the arithmetic mean of the high temperatures for the last week?
1. The mean high temperature for the past 3 days is 75 degrees. The mean high temperature for the 4 days before that was 80 degrees. 
2. The high temperatures for the last 7 days are as follows (in degrees): 80, 81, 79, 80, 77, 75, 73

EACH statement ALONE is sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Give the arithmetic mean of the first and third terms of an arithmetic sequence.
Statement 1: The fifth term of the sequence is 130.
Statement 2: The second term of the sequence is 100.

BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.

EITHER STATEMENT ALONE provides sufficient information to answer the question.

STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.

BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.

STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.

Give the arithmetic mean of the second and third terms of an arithmetic sequence.
Statement 1: The fourth term of the sequence is 120.
Statement 2: The first term of the sequence is 0.

BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.

BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.

STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.

EITHER STATEMENT ALONE provides sufficient information to answer the question.

STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.

Give the arithmetic mean of A and B.

Statement 1: 12A+12B=30

Statement 2: 2A+2B=120

BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.

STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.

EITHER STATEMENT ALONE provides sufficient information to answer the question.

STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.

BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.

21,17,9,12,x,5,0,y

What is the value of x?

(1) y=x−4

(2) The arithmetic mean of the numbers in the list is 10.

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient.

Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Each statement ALONE is sufficient.

Both statements TOGETHER are not sufficient.

Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient.

1. If the arithmetic mean of five different numbers is 50, how many of the numbers are greater than 50?
(1) None of the five numbers is greater than 100.
(2) Three of the five numbers are 24, 25 and 26, respectively.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

EACH statement ALONE is sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

When assigning a score for the term, a professor takes the mean of all of a student"s test scores.
Joe is trying for a score of 90 for the term. He has one test left to take. What is the minimum that Joe can score and achieve his goal?
Statement 1: He has a median score of 85 so far.
Statement 2: He has a mean score of 87 so far.

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

EITHER statement ALONE is sufficient to answer the question.

BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

Quiz/Test Summary
Title: Quantitative Arithmetic
Questions: 10
Contributed by:
james