Logical Reasoning Sufficiency

Q: How many coins does Ram have in total? I. He only has Rs. 5 coins and their total value is Rs. 50. II. The number of coins is an even number.

Correct Answer: Option A (Statement I alone is sufficient, but Statement II alone is not.). From Statement I, Total value / Coin value = 50 / 5 = 10 coins. Statement I alone is sufficient. Statement II is unnecessary.

Q: Who is chronologically older, P or Q? I. P was born in the year 1990. II. Q was born exactly 5 years after P.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). From I, P's birth year is 1990. From II, Q was born in 1990 + 5 = 1995. Since P was born earlier, P is older. Both are required to establish the relationship.

Q: How many brothers does X have? I. X has exactly 3 sisters. II. X's father has a total of 5 children.

Correct Answer: Option D (Statements I and II together are not sufficient.). From both statements, there are 5 children total. We know 3 are sisters of X. That leaves 2 children. We do not know X's gender. If X is male, he has 1 brother. If X is female, she has 2 brothers. Not sufficient.

Q: What is the total number of students in the class? I. 20 students play only cricket. II. 30 students play only football and 10 play both.

Correct Answer: Option D (Statements I and II together are not sufficient.). Combining both gives the union of students playing sports (20 + 30 + 10 = 60). However, we do not know if there are any students who play neither sport. Thus, total students cannot be determined.

Q: How many marbles are in the opaque bag? I. The number of marbles is a prime number between 10 and 15. II. The number of marbles leaves a remainder of 1 when divided by 2.

Correct Answer: Option D (Statements I and II together are not sufficient.). From I, the number is either 11 or 13. From II, the number is odd. Since both 11 and 13 are odd, we still cannot determine the exact number. Not sufficient.

60 Questions

Practice Logical Reasoning Sufficiency questions with answers and step-by-step solutions. These problems are curated from recent campus placement test papers (TCS, Infosys, Wipro, Cognizant, Accenture) and competitive government exams (SSC CGL, Bank PO, RRB NTPC, UPSC).

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Logical Reasoning Sufficiency: Directions & Problem Statements Shared for questions below

DirectionsSet 11: Quantitative Logic

Q51

How many coins does Ram have in total?
I. He only has Rs. 5 coins and their total value is Rs. 50.
II. The number of coins is an even number.

medium

Q52

Who is chronologically older, P or Q?
I. P was born in the year 1990.
II. Q was born exactly 5 years after P.

medium

Q53

How many brothers does X have?
I. X has exactly 3 sisters.
II. X's father has a total of 5 children.

medium

Q54

What is the total number of students in the class?
I. 20 students play only cricket.
II. 30 students play only football and 10 play both.

medium

Q55

How many marbles are in the opaque bag?
I. The number of marbles is a prime number between 10 and 15.
II. The number of marbles leaves a remainder of 1 when divided by 2.

medium

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Logical Reasoning Sufficiency

How many coins does Ram have in total?
I. He only has Rs. 5 coins and their total value is Rs. 50.
II. The number of coins is an even number.

Community Discussion & Shortcut Formulas

Who is chronologically older, P or Q?
I. P was born in the year 1990.
II. Q was born exactly 5 years after P.

Community Discussion & Shortcut Formulas

How many brothers does X have?
I. X has exactly 3 sisters.
II. X's father has a total of 5 children.

Community Discussion & Shortcut Formulas

What is the total number of students in the class?
I. 20 students play only cricket.
II. 30 students play only football and 10 play both.

Community Discussion & Shortcut Formulas

How many marbles are in the opaque bag?
I. The number of marbles is a prime number between 10 and 15.
II. The number of marbles leaves a remainder of 1 when divided by 2.

Community Discussion & Shortcut Formulas