CMAT Data Sufficiency Questions

Question 1

Given below are two statements:
Statement I : A coin is tossed three times. The probability of getting exactly two heads is 3/8
Statement II: In tossing of 10 coins, the probability of getting exactly 5 heads is 63/256

In the light of the above statements, choose the correct answer from the options given below.

Question 2

Which of the following statements regarding quadratic equations are true?
(A) Solution set for the equation $$6x^{2}-5x=4$$ is $$\left\{-\frac{1}{2},\frac{4}{3}\right\}$$
(B) The nature of the roots of the equation $$9x^{2}+6x+1=0$$ is equal, real and rational.
(C) If one root of $$4x^{2}-3x+K=0$$ is 3 times the other, then $$K=\frac{27}{256}$$

Question 3

Given below are two statements
Statement I: In the sequence of numbers 30, 90, 182, 306, 462,P........ . the term P is 650.
Statement II : There are 8 digits in $$9^{8}$$ when it is expressed in decimal form.
In light of the above statements, choose the correct answer from the options given below

Question 4

Given below are two statements
Statement I : $$(543)_6$$ is equivalent to $$(317)_8$$
Statement II : The last 4 bits in the binary representation of a multiple of 16 is 1000.
In light of the above statements, choose the correct answer from the options given below

Question 5

Given below are two statements
Statement I : The set of numbers(5,6, 7, p, 6, 7, 8, q) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then $$p\times q=16$$.
Statement II: Let p and q be two positive integers such that $$p+q+p\times q=94$$. Then $$p+q=20$$.
In light of the above statements, choose the correct answer from the options given below

Question 6

Given below are two statements:
Statement I: $$\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5}}+\frac{\sqrt{7}-\sqrt{5}}{\sqrt{7}+\sqrt{5}}=2$$
Statement II: If $$a+b+c=0$$, then $$(a^{3}+b^{3}+c^{3})\div abc=3$$
In light of the above statements, choose the correct answer from the options given below

CMAT Data Sufficiency Questions

Data Sufficiency Questions are an important component of the Logical Reasoning section in CMAT 2027. These questions evaluate a candidate's ability to determine whether the given information is sufficient to answer a question without actually solving it completely. Success in Data Sufficiency requires logical analysis, careful interpretation of statements, and a clear understanding of mathematical and reasoning concepts. Aspirants preparing for the CMAT 2027 Exam should include this topic in their study plan alongside the CMAT Syllabus to strengthen their Logical Reasoning preparation and improve decision-making skills.

Practicing Data Sufficiency Questions regularly helps candidates develop the ability to identify relevant information quickly and avoid unnecessary calculations. This not only improves accuracy but also enhances time management during the exam. Solving questions from CMAT Previous Papers provides valuable insights into the types of Data Sufficiency questions that have appeared in previous years. Additionally, attempting a CMAT Mock Test allows candidates to assess their performance, build confidence, and refine their exam strategy for CMAT 2027.

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