Q.1 1. What is the value of x? Statement I: x + 3 = 10 Statement II: 2x = 14
Statement I alone is sufficient
Statement II alone is sufficient
Both statements together are required
Neither statement is sufficient
Explanation - Statement I gives x = 7 directly. Statement II also gives x = 7, but each alone is sufficient. Hence, Statement I alone is sufficient.
Correct answer is: Statement I alone is sufficient
Q.2 2. Is y an even number? Statement I: y = 2k, where k is an integer. Statement II: y is divisible by 4.
Statement I alone is sufficient
Statement II alone is sufficient
Both together are needed
Neither is sufficient
Explanation - Statement II implies y is divisible by 4, which means y is even. So Statement II alone is sufficient.
Correct answer is: Statement II alone is sufficient
Q.3 3. What is the average of three numbers a, b, and c? Statement I: a + b + c = 30 Statement II: a = b = c
I alone
II alone
Both together
Neither
Explanation - Knowing that a + b + c = 30 is enough to find the average (30/3 = 10). Statement II alone gives no numerical value.
Correct answer is: I alone
Q.4 4. Is z > 0? Statement I: z^2 = 25 Statement II: z = 5 or z = -5
I alone
II alone
Both together
Neither
Explanation - From both statements, z could be 5 or -5, so we cannot conclude z > 0.
Correct answer is: Neither
Q.5 5. Is the triangle equilateral? Statement I: All three sides are equal. Statement II: All three angles are equal.
I alone
II alone
Either I or II alone
Both together
Explanation - Both conditions independently define an equilateral triangle. Hence, either statement alone is sufficient.
Correct answer is: Either I or II alone
Q.6 6. What is the value of x + y? Statement I: x = 5 Statement II: y = 7
I alone
II alone
Both together
Neither
Explanation - To find x + y, both x and y are needed. Hence both statements together are sufficient.
Correct answer is: Both together
Q.7 7. Is a a prime number? Statement I: a has only two positive factors. Statement II: a is odd.
I alone
II alone
Both together
Neither
Explanation - Having only two positive factors defines a prime number. Statement I alone is sufficient.
Correct answer is: I alone
Q.8 8. How many students are in the class? Statement I: There are 15 boys. Statement II: The number of girls is equal to the number of boys.
I alone
II alone
Both together
Neither
Explanation - Both statements are needed to find total students (15 + 15 = 30).
Correct answer is: Both together
Q.9 9. What is the area of the square? Statement I: The perimeter is 20. Statement II: Each side is equal.
I alone
II alone
Both together
Neither
Explanation - Perimeter = 4 × side ⇒ side = 5 ⇒ area = 25. Statement I alone is sufficient.
Correct answer is: I alone
Q.10 10. Is x greater than y? Statement I: x - y = 5 Statement II: x + y = 10
I alone
II alone
Both together
Neither
Explanation - If x - y = 5, then clearly x > y. So I alone is sufficient.
Correct answer is: I alone
Q.11 11. What is the speed of the train? Statement I: The train covers 120 km in 2 hours. Statement II: The train covers 60 km in 1 hour.
I alone
II alone
Either I or II alone
Both together
Explanation - Either statement gives the same speed (60 km/h). So either alone is sufficient.
Correct answer is: Either I or II alone
Q.12 12. Is x positive? Statement I: x^2 = 9. Statement II: x = 3.
I alone
II alone
Both together
Neither
Explanation - Statement I gives x = ±3; sign is unknown. Statement II confirms x = 3, so x is positive.
Correct answer is: II alone
Q.13 13. What is the ratio of boys to girls? Statement I: There are 30 students. Statement II: There are 10 girls fewer than boys.
I alone
II alone
Both together
Neither
Explanation - Both total students and difference are needed to compute ratio. Hence both together are sufficient.
Correct answer is: Both together
Q.14 14. Is number N divisible by 6? Statement I: N is divisible by 2. Statement II: N is divisible by 3.
I alone
II alone
Both together
Neither
Explanation - A number divisible by both 2 and 3 is divisible by 6. Both are required.
Correct answer is: Both together
Q.15 15. What is the total salary expense? Statement I: Average salary = ₹50,000. Statement II: Number of employees = 20.
I alone
II alone
Both together
Neither
Explanation - Both average and number of employees are needed: 50,000 × 20 = 10,00,000.
Correct answer is: Both together
Q.16 16. Is P taller than Q? Statement I: P is taller than R. Statement II: R is taller than Q.
I alone
II alone
Both together
Neither
Explanation - Combining both, P > R and R > Q ⇒ P > Q. So both together are required.
Correct answer is: Both together
Q.17 17. What is the age of Rina? Statement I: Rina is 5 years younger than Sita. Statement II: Sita’s age is 25.
I alone
II alone
Both together
Neither
Explanation - Both are required to compute Rina’s age: 25 - 5 = 20.
Correct answer is: Both together
Q.18 18. Is x an integer? Statement I: x^2 = 16. Statement II: x = 4.
I alone
II alone
Both together
Neither
Explanation - x = 4 from Statement II confirms x is an integer. Statement I gives ±4 but both are integers, so actually I alone is also sufficient.
Correct answer is: II alone
Q.19 19. Is the number odd? Statement I: The number is divisible by 2. Statement II: The number is not divisible by 2.
I alone
II alone
Either I or II alone
Neither
Explanation - If the number is not divisible by 2, it is odd. So Statement II alone is sufficient.
Correct answer is: II alone
Q.20 20. What is the perimeter of a rectangle? Statement I: Length = 8 cm, Breadth = 6 cm. Statement II: Area = 48 cm².
I alone
II alone
Both together
Neither
Explanation - Perimeter = 2(l + b) = 28 cm. Statement I alone suffices.
Correct answer is: I alone
Q.21 21. Is the number greater than 100? Statement I: The number is greater than 99. Statement II: The number is less than 101.
I alone
II alone
Both together
Neither
Explanation - Statement I ensures number > 99, which could include 100+, but does not confirm strictly greater than 100 unless both are used. However, both together show it’s between 99 and 101, so insufficient.
Correct answer is: I alone
Q.22 22. Is x divisible by 8? Statement I: x is divisible by 4. Statement II: x is an even number.
I alone
II alone
Both together
Neither
Explanation - Neither divisibility by 4 nor being even guarantees divisibility by 8.
Correct answer is: Neither
Q.23 23. What is the selling price of the article? Statement I: Profit = 20% of cost price. Statement II: Cost price = ₹500.
I alone
II alone
Both together
Neither
Explanation - Both are needed: SP = 500 + 20% of 500 = ₹600.
Correct answer is: Both together
Q.24 24. Is the sum of two numbers even? Statement I: Both numbers are odd. Statement II: One number is even.
I alone
II alone
Either I or II alone
Neither
Explanation - Sum of two odd numbers is even. Statement I alone is sufficient.
Correct answer is: I alone
Q.25 25. What is the simple interest? Statement I: Principal = ₹10,000, Rate = 10% per annum. Statement II: Time = 2 years.
I alone
II alone
Both together
Neither
Explanation - All variables (P, R, T) are needed to find SI = PRT/100. Hence both together are sufficient.
Correct answer is: Both together