All Courses
Get the App Signup / Login
Sign in Open App
GMAT Exam  >  GMAT Tests  >  Test: Data Sufficiency - 1 - GMAT MCQ

Test: Data Sufficiency - 1 - GMAT MCQ


Test Description

10 Questions MCQ Test - Test: Data Sufficiency - 1

Test: Data Sufficiency - 1 for GMAT 2025 is part of GMAT preparation. The Test: Data Sufficiency - 1 questions and answers have been prepared according to the GMAT exam syllabus.The Test: Data Sufficiency - 1 MCQs are made for GMAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Data Sufficiency - 1 below.
Solutions of Test: Data Sufficiency - 1 questions in English are available as part of our course for GMAT & Test: Data Sufficiency - 1 solutions in Hindi for GMAT course. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free. Attempt Test: Data Sufficiency - 1 | 10 questions in 20 minutes | Mock test for GMAT preparation | Free important questions MCQ to study for GMAT Exam | Download free PDF with solutions
Test: Data Sufficiency - 1 - Question 1
Save

Determine the price of two type A footballs if the total cost of a type A and a type B football is $500. 1. Type B football costs $200. 2. Two type A and three type B footballs cost $1200.

Detailed Solution for Test: Data Sufficiency - 1 - Question 1

Let A represent the cost of a type A football and B the cost of a type B football. From the problem, we know:

  • The total cost of one type A and one type B football is $500.
  • From statement 1, the cost of type B football is $200.

Using statement 1:

  • Since B = $200, we can find A:
  • A = $500 - B = $500 - $200 = $300.
  • Thus, the cost of two type A footballs is 2A = $600.

Now, using statement 2:

  • From statement 2, we have 2A + 3B = $1200.
  • Substituting B = $200 into the equation:
  • 2A + 3(200) = 1200.
  • This simplifies to 2A + 600 = 1200.
  • Subtracting 600 from both sides gives 2A = $600, hence A = $300.

Both statements are sufficient to determine the price of two type A footballs, which is $600.

Test: Data Sufficiency - 1 - Question 2
Save

What is the value of the positive number, p?
1. One of its divisors is 7.
2. p is divisible by only two positive numbers.

Detailed Solution for Test: Data Sufficiency - 1 - Question 2

In statement 1, since one of the divisors is 7, it indicates that the number is a multiple of 7. This means there are infinitely many possibilities, making the statement insufficient.

In statement 2, the number is said to be divisible by only two numbers. This suggests that p is a prime number, as prime numbers have exactly two positive divisors. Since there are infinitely many prime numbers, this statement is also insufficient.

When we combine both statements:

  • p is a prime number and is divisible by 7.
  • This leads us to conclude that p must be 7.

Thus, both statements together are sufficient to answer the question, while neither statement alone is sufficient.

Clear all your doubts with EduRev
Test: Data Sufficiency - 1 - Question 3
Save

Ann deposited $3000 in her bank account at the beginning of the year. Determine the amount the funds accumulated to given the following information: 1. The bank offered a 4.3% interest rate. 2. The amount was deposited for a period of 5 years.

Detailed Solution for Test: Data Sufficiency - 1 - Question 3

Deposit (P) = 3000.

The accumulated amount can be calculated using the following formulas:

  • For compound interest: Accumulated amount = P (1 + r/100)n
  • For simple interest: Accumulated amount = P + (P × r/100 × n)

In Statement 1:

  • r = 4.3
  • P = 3000
  • However, the value of n is not provided, making it insufficient.
  • Additionally, the type of interest is not specified.

In Statement 2:

  • n = 5
  • P = 3000
  • But the value of r is missing, rendering it insufficient as well.
  • Again, the type of interest is not disclosed.

When combining both statements:

  • P = 3000, r = 4.3, and n = 5 are known.
  • Yet, without knowing the specific type of interest, we cannot accurately apply the formulas.

Therefore, Statements (1) and (2) TOGETHER are NOT sufficient to determine the accumulated amount.

Test: Data Sufficiency - 1 - Question 4
Save
Determine the volume of a cuboid. The length is twice the width, the height is 4 inches, and the length is 6 inches.
Detailed Solution for Test: Data Sufficiency - 1 - Question 4

Volume = length × width × height

From the statements provided:

  • Statement 1: Let the width be x. Then, the length is 2x and the height is 4 inches.
  • The volume can be calculated as: Volume = x × 2x × 4 = 8x² cubic inches. Since this expression depends on x, it is insufficient on its own.
  • Statement 2: The length is 6 inches, but the width and height are unknown, making it insufficient to determine the volume.

When we combine both statements:

  • From statement 2, we have length = 6 inches.
  • From statement 1, we set 2x = 6, which gives x = 3 inches.
  • This means the width is 3 inches and the height is 4 inches.
  • Now, we can calculate the volume: Volume = 3 × 4 × 6 = 72 cubic inches.

Therefore, BOTH statements TOGETHER are sufficient to determine the volume, but NEITHER statement ALONE is sufficient.

Test: Data Sufficiency - 1 - Question 5
Save
Find the value of r if 4r + 2t = 14.
1. t = 2.
2. r > t.
Detailed Solution for Test: Data Sufficiency - 1 - Question 5

4r + 2t = 14

Let's evaluate the statements:

  • Statement 1: If t = 2, substituting this value into the equation:
    • 4r + 2(2) = 14
    • 4r + 4 = 14
    • 4r = 10
    • r = 2.5
  • This statement is sufficient to find the value of r.
  • Statement 2: Here, we know r > t, but no numeric values are provided.
  • This means that the value of r could be any number greater than t, leading to multiple possible values for r.
  • Therefore, this statement is not sufficient.

Thus, only Statement 1 is sufficient to determine the value of r.

Test: Data Sufficiency - 1 - Question 6
Save
Find the common difference of the arithmetic sequence. The third term of the sequence is 1.428. The first and the fifth terms of the sequence are 1 and 1.856.
Detailed Solution for Test: Data Sufficiency - 1 - Question 6

an = a + (n - 1)d

In statement 1, the third term is given as:

  • a3 = a + (3 - 1)d = 1.428
  • This simplifies to: a + 2d = 1.428

As this provides only one equation with two unknowns, we cannot determine the value of d. Thus, this statement is not sufficient.

In statement 2, we know:

  • a = 1
  • a5 = a + (5 - 1)d = 1.856
  • Substituting for a gives: 1 + 4d = 1.856
  • This leads to: d = 0.214

The common difference is 0.214, making this statement sufficient.

Test: Data Sufficiency - 1 - Question 7
Save
Stephenson, a businessman, bought an iron box for $80. Determine his profit based on the following details: 1. He made a 30% profit. 2. His selling price was $104.
Detailed Solution for Test: Data Sufficiency - 1 - Question 7

Cost price is $80, which represents 100%.

  • Statement 1: Profit is 30%.
  • Calculate profit:
    • Profit = 30% of $80 = $24.
  • Using the selling price:
    • Profit = Selling Price - Cost Price = $104 - $80 = $24.
  • Thus, Statement 1 is sufficient.
  • Statement 2: Selling price is $104.
  • Calculate profit:
    • Profit = Selling Price - Cost Price = $104 - $80 = $24.
  • Therefore, Statement 2 is also sufficient.

Since each statement alone is sufficient, the answer is D.

Test: Data Sufficiency - 1 - Question 8
Save
The ratio of water to alcohol in a completely filled 14-cup container is 2:5. Determine the new volume of the liquid in the container if: 1. Water is increased by 14%. 2. A mixture whose ratio of water to alcohol is 4:5 is added to that in the container.
Detailed Solution for Test: Data Sufficiency - 1 - Question 8

Ratio of water to alcohol: 2:5.

In a 14-cup container:

  • Water = 2/7 x 14 = 4 cups.
  • Alcohol = 14 - 4 = 10 cups.

When water is increased by 14%:

  • New volume of water = 114/100 x 4 = 4.56 cups.
  • New total volume of the liquid = 10 + 4.56 = 14.56 cups.

Thus, statement 1 is sufficient.

Regarding statement 2:

  • The ratio of water to alcohol is 4:5.
  • However, the quantity of the liquid added or the specific amounts of water and alcohol are not provided.
  • Therefore, statement 2 is not sufficient.
Test: Data Sufficiency - 1 - Question 9
Save
Determine the area of triangle A. Triangle A and B are similar with a linear scale factor of 7:10. Triangle B is larger than triangle A. Based on this information, can you determine the area of triangle A?
Detailed Solution for Test: Data Sufficiency - 1 - Question 9

In statement 1, the linear scale factor of triangle A to triangle B is 7 : 10. This means the area scale factor is 49 : 100. However, as we do not have the area of triangle B, we cannot calculate the area of triangle A. Therefore, this statement is insufficient.

In statement 2, we know that triangle B is larger than triangle A, which indicates that the ratio of B to A is greater than 1. Without additional information about the ratio or the area of either triangle, this statement alone is also insufficient.

When we combine both statements, the area scale factor remains 49 : 100, where 49 represents the smaller triangle (A) and 100 represents the larger triangle (B). However, since we still lack the area of triangle B, we cannot determine the area of triangle A. Thus, even together, the statements are insufficient.

Test: Data Sufficiency - 1 - Question 10
Save

What is the cost of one pen?

1. The cost of 3 pens and 2 pencils is ₹80.

2. The cost of 2 pens and 2 pencils is ₹70, and each pencil costs ₹10.
Detailed Solution for Test: Data Sufficiency - 1 - Question 10

Statement 1:The cost of 3 pens and 2 pencils is ₹80.

Let the cost of one pen be p and the cost of one pencil be q.

From this statement, we have the equation:
3p + 2q = 80.
This gives us one equation with two variables, so we cannot determine the value of p (the cost of one pen) alone. This statement alone is not sufficient.

Statement 2:The cost of 2 pens and 2 pencils is ₹70, and each pencil costs ₹10.

From this statement:

  • The cost of one pencil is given as ₹10, so q = 10.

  • The cost of 2 pens and 2 pencils is ₹70, so we have the equation:
    2p + 2q = 70.
    Substitute q = 10 into this equation:
    2p + 2(10) = 70
    2p + 20 = 70
    2p = 50
    p = 25.

This statement alone is sufficient to determine the cost of one pen as ₹25.

Conclusion:

Statement (2) alone is sufficient to find the cost of one pen, while statement (1) alone is not sufficient.

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

Information about Test: Data Sufficiency - 1 Page
In this test you can find the Exam questions for Test: Data Sufficiency - 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Data Sufficiency - 1, EduRev gives you an ample number of Online tests for practice
Download as PDF

Important Questions for Data Sufficiency - 1

Find all the important questions for Data Sufficiency - 1 at EduRev.Get fully prepared for Data Sufficiency - 1 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Data Sufficiency - 1 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Data Sufficiency - 1 resources.

Data Sufficiency - 1 MCQs with Answers

Prepare for the Data Sufficiency - 1 within the GMAT exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Data Sufficiency - 1

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Data Sufficiency - 1 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup