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GMAT Exam > GMAT Tests > Test: Data Sufficiency - 6 - GMAT MCQ

Test: Data Sufficiency - 6 - GMAT MCQ

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15 Questions MCQ Test - Test: Data Sufficiency - 6

Test: Data Sufficiency - 6 for GMAT 2024 is part of GMAT preparation. The Test: Data Sufficiency - 6 questions and answers have been prepared according to the GMAT exam syllabus.The Test: Data Sufficiency - 6 MCQs are made for GMAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Data Sufficiency - 6 below.

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Test: Data Sufficiency - 6 - Question 1

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If x, y and z are integers, is x/(yz) an integer?

1) y is a factor of x more than once
2) All of the prime factors of z are also factors of y

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 2

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What is the value of x?

1) 13x > 12x
2) x² = 9

A.
Both statements are required to answer the question
B.
Exactly one of the statements can answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Detailed Solution for Test: Data Sufficiency - 6 - Question 2

From statement 1, we know that 13x is greater than 12x. We can rearrange this as x > 0.

From statement 2, we know that x^2 is equal to 9. This means that x is either 3 or -3.

Combining these two statements, we know that x must be 3.

Therefore, the value of x is 3.

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Test: Data Sufficiency - 6 - Question 3

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Is x > y?

1) x² > y²
2) xy < 0

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 4

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If x & y are integers, is xy + 1 divisible by 3?

1) When x is divided by 3, the remainder is 1
2) When y is divided by 9, the remainder is 8

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 5

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If @ represents a digit in 7 digit no. 3,62@,215, what is the value of @?

1) Sum of 7 digits is equal to 4 times an integer
2) Missing digit is different from any of the other digits in the number

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 6

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Pam & Ed are in a line to purchase tickets. How many people are in the line?

1) There are 20 people behind Pam and 20 people in front of Ed.
2) There are 5 people between Pam & Ed

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Detailed Solution for Test: Data Sufficiency - 6 - Question 6

No info is given about Pam's and Ed' place in the line regarding each other, so the answer is D.

Possible scenarios:
--------------------P-----E--------------------| start of the line --> 47 people in the line;
--------------E-----P--------------| start of the line --> 35 people in the line.

Test: Data Sufficiency - 6 - Question 7

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The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6Mn points if one of its runner finished in nth place where 1 ≤ n ≤ 5. If all the runners finished the race & there were no ties, was each team awarded at least one point?

1) No team awarded more than a total of 6 points
2) No pair of teammates finished in consecutive places among the top five places.

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 8

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Is z + z < z?

1) -4z > 4z
2) z³ < z²

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Detailed Solution for Test: Data Sufficiency - 6 - Question 8

Test: Data Sufficiency - 6 - Question 9

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If x & y are +ve integers, is 2x a multiple of y?

1) 2x + 2 is a multiple of y
2) y is a multiple of x

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
More information is required as the information provided is insufficient to answer the question
D.
Each statement can answer the question individually

Detailed Solution for Test: Data Sufficiency - 6 - Question 9

Therefore, the correct answer is:

3. Each statement can answer the question individually

Test: Data Sufficiency - 6 - Question 10

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If z₁, z₂, z₃,..........,z_n is a series of consecutive +ve integers, is the sum of all the integers in this series odd?

1) Average of all the numbers in the series is odd
2) n is odd

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 11

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If x & y are +ve integers, what is the remainder when x is divided by y?

1) When x is divided by 2y, the remainder is 4
2) When x + y is divided by y, the remainder is 4

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 12

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Is p + q > r + s?

1) p > r + s
2) q > r + s

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 13

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Sequence S consists of 24 nonzero integers. If each term in S after the second is product of the previous 2 terms, how many terms in S are –ve?

1) 3rd term in S is +ve
2) 4th term in S is –ve

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 14

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A certain calculator is able to display at most 10 digits, so that any number with a total of more than 10 digits before and after the decimal point cannot be displayed accurately. If x & y are +ve integers less than 1000, can the result of dividing x by y be displayed accurately on the calculator?

1) 105 < x < 108
2) 3 < y < 6

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Test: Data Sufficiency - 6 - Question 15

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If n is an integer, then n is divisible by how many +ve integers?

1) n is the product of 2 different prime numbers
2) n and 2³ are each divisible by same number of +ve integers

A.
Both statements are required to answer the question
B.
Exactly one of the statements can answer the question
C.
More information is required as the information provided is insufficient to answer the question
D.
Each statement can answer the question individually

Detailed Solution for Test: Data Sufficiency - 6 - Question 15

First make prime factorization of an integer n=a^p∗b^q∗c^r, where a, b, and c are prime factors of n and p, q, and r are their powers.

The number of factors of nn will be expressed by the formula (p+1)(q+1)(r+1).
NOTE: this will include 1 and n itself.

If n is an integer, then n is divisible by how many positive integers?

(1) n is the product of two different prime numbers --> n=ab, where a and b are primes, so # of factors is (1+1)(1+1)=4. Sufficient.

(2) n and 2³ are each divisible by the same number of positive integers --> 2^3 has 4 different positive factors (1, 2, 4, and 8) so n has also 4. Sufficient.

However, without both statements together, we cannot be certain about the number of divisors based solely on one statement.
Therefore, both statements are required to definitively determine that n has 4 positive divisors.

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