ICET Data Sufficiency 1 — Questions and Answers
Question 1: To find whether a number N is divisible by 6: Statement I: N is divisible by 2. Statement II: N is divisible by 3. Which is sufficient?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Either statement alone
Correct answer: Both statements together
A number is divisible by 6 only when it is divisible by both 2 and 3, so both statements together are required.
Question 2: What is the value of x? Statement I: x² = 25. Statement II: x > 0. Which is sufficient?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Neither statement
Correct answer: Both statements together
Statement I gives x = ±5 and Statement II eliminates the negative, so both together uniquely determine x = 5.
Question 3: Is integer n even? Statement I: n/2 is an integer. Statement II: n + 1 is odd. Which is sufficient?
- Statement I alone
- Statement II alone
- Both statements together
- Either statement alone (Correct answer)
Correct answer: Either statement alone
Both statements independently confirm that n is even: n/2 being an integer and n+1 being odd are each equivalent definitions.
Question 4: What is the area of a rectangle? Statement I: Its perimeter is 24 cm. Statement II: Its length is twice its width. Which is sufficient?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Neither statement
Correct answer: Both statements together
Using both statements: width = 4 cm and length = 8 cm, giving area = 32 cm²; neither statement alone is sufficient.
Question 5: Is x > y? Statement I: x + 2 > y + 2. Statement II: x² > y². Which is sufficient?
- Statement I alone (Correct answer)
- Statement II alone
- Both statements together
- Neither statement
Correct answer: Statement I alone
Statement I simplifies directly to x > y by subtracting 2 from both sides, making it sufficient alone.
Question 6: What is Ram's age? Statement I: Ram is 5 years older than Sam. Statement II: Sam is 20 years old. Which is sufficient?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Neither statement
Correct answer: Both statements together
Both statements together give Ram's age as 20 + 5 = 25 years; neither alone provides a definite answer.
ICET Data Sufficiency 1
To find whether a number N is divisible by 6: Statement I: N is divisible by 2.
Statement II: N is divisible by 3.
Which is sufficient?