ICET Data Sufficiency 3

Question 1

What is the LCM of two numbers? Statement I: The two numbers are 12 and 18. Statement II: Their HCF is 6. Which is sufficient?

Accepted Answer

Statement I alone

Answer

Statement I alone is sufficient because LCM(12, 18) = 36 can be computed directly from the two numbers.

Question 2

Is triangle ABC right-angled? Statement I: AB² + BC² = AC². Statement II: Angle B = 90°. Which is sufficient?

Accepted Answer

Either statement alone

Answer

Both statements independently confirm a right-angled triangle—via the Pythagorean theorem and via direct angle measurement.

Question 3

What is the average of five numbers? Statement I: Sum of five numbers is 125. Statement II: The middle number is 25. Which is sufficient?

Accepted Answer

Statement I alone

Answer

Average = Sum ÷ Count = 125 ÷ 5 = 25, so Statement I alone is sufficient.

Question 4

What is the ratio of boys to girls in a class? Statement I: There are 30 boys and 20 girls. Statement II: Girls are 40% of the class. Which is sufficient?

Accepted Answer

Either statement alone

Answer

Statement I gives ratio 30:20 = 3:2 and Statement II gives boys = 60%, girls = 40%, also ratio 3:2; either alone is sufficient.

Question 5

What is the circumference of a circle? Statement I: The diameter is 14 cm. Statement II: The area is 154 cm². Which is sufficient?

Accepted Answer

Either statement alone

Answer

Statement I gives C = πd = 44 cm directly; Statement II gives r from area, then C = 2πr = 44 cm; either alone is sufficient.

ICET - Integrated Common Entrance Test Practice Test

ICET - Integrated Common Entrance Test Practice Test

ICET Data Sufficiency 3