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GMAT Exam  >  GMAT Tests  >  Test: Data Sufficiency - 5 - GMAT MCQ

Test: Data Sufficiency - 5 - GMAT MCQ


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15 Questions MCQ Test - Test: Data Sufficiency - 5

Test: Data Sufficiency - 5 for GMAT 2024 is part of GMAT preparation. The Test: Data Sufficiency - 5 questions and answers have been prepared according to the GMAT exam syllabus.The Test: Data Sufficiency - 5 MCQs are made for GMAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Data Sufficiency - 5 below.
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Test: Data Sufficiency - 5 - Question 1
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Does ab = 1?

1) aba = a
2) bab = b  

Test: Data Sufficiency - 5 - Question 2
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If x =? 0. Is |x| < 1?

1) x/|x| < x
2) |x| > x  

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Test: Data Sufficiency - 5 - Question 3
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If y is an integer, is y3 divisible by 9?

1) y is divisible by 4
2) y is divisible by 6.  

Test: Data Sufficiency - 5 - Question 4
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Is xy > (x/y)?

1) xy > 0
2) y < 0  
Test: Data Sufficiency - 5 - Question 5
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If x  > 1 & y > 1, is x < y?

1) x2 /(xy + x) < 1
2) xy/(y2 - y) < 1  
Test: Data Sufficiency - 5 - Question 6
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If units digit of 3 digit +ve integer K is nonzero, what is the tens digit of K?

1) The tens digit of K + 9 is 3
2) The tens digit of K + 4 is 2  
Test: Data Sufficiency - 5 - Question 7
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What is the remainder when +ve integer ‘n’ is divided by 3?

1) Remainder when ‘n’ is divided by 2 is 1
2) Remainder when ‘n + 1’ is divided by 3 is 2  
Test: Data Sufficiency - 5 - Question 8
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What is the value of x?

1) When x is multiplied by 8, the result is between 50 and 60
2) When x is doubled, the result is between 10 and 15  
Detailed Solution for Test: Data Sufficiency - 5 - Question 8

Explanation:

Let's analyze each statement separately:

1) When x is multiplied by 8, the result is between 50 and 60.
This can be written as:
50 < 8x < 60

Now we can divide each part of the inequality by 8:
6.25 < x < 7.5

So, from this statement, we know that x is between 6.25 and 7.5. However, we still don't know the exact value of x.

2) When x is doubled, the result is between 10 and 15.
This can be written as:
10 < 2x < 15

Now we can divide each part of the inequality by 2:
5 < x < 7.5

So, from this statement, we know that x is between 5 and 7.5. However, we still don't know the exact value of x.

Combining both statements, we still have the same range for x (between 6.25 and 7.5) without a specific value for x.

Therefore, more information is required as the information provided is insufficient to answer the question.

Test: Data Sufficiency - 5 - Question 9
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Is 30 a factor of n?
1) 30 is a factor of n2
2) 30 is a factor of 2n  
Test: Data Sufficiency - 5 - Question 10
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p is an integer, n is an integer and p/n is an integer. Is p/n=odd?

1) p is divisible by 4
2) n is divisible by 4  
Test: Data Sufficiency - 5 - Question 11
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If K is a +ve integer less than 10 & N = 4321 + K, what is the value of K?

1) N is divisible by 3
2) N is divisible by 7 
Test: Data Sufficiency - 5 - Question 12
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Is the product of x & y > 60?

1) x + y > 60
2) Each of the variables is greater than 2  
Test: Data Sufficiency - 5 - Question 13
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Is (x7)(y2)(z3) > 0?

1) yz < 0
2) xz > 0  
Test: Data Sufficiency - 5 - Question 14
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If x > 1, what is the value of integer x?

1) There are x unique factors of x
2) The sum of x & any prime number is larger than x is odd  
Detailed Solution for Test: Data Sufficiency - 5 - Question 14

Statement 1: There are x unique factors of x.
The only value that works here is x=2: 2 has two unique factors (1 and 2), so the number of unique factors (2) is equal to x (2).
No other value works.
To illustrate:
If x=10, x will have 4 distinct factors (1,2,5,10), so the number of unique factors (4) is not equal to x (10).
If x=16, x will have 5 unique factors (1,2,4,8,16), so the number of unique factors (5) is not equal to x (16).
Thus, x=2.
SUFFICIENT.

Statement 2: The sum of x and any prime number larger than x is odd.
Any prime number greater than 2 is odd.
It's possible that x=2, since 2+odd = odd.
It's possible that x=4, since 4+odd = odd.
INSUFFICIENT.

Test: Data Sufficiency - 5 - Question 15
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If w, x, y, z are integers and w + x = y, is y divisible by z?

1) w and x each have a remainder of 1 when divided by z
2) z = 2 
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