logic

'All the mangoes in the basket are good.' If the above statement is false, then which one of the following statements is necessarily true?

Consider the following statements about four numbers: (S1) The average of the four numbers is 25 (S2) Each number is at most 40 (S3) Each number is at least 20 Choose the option th...

Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, the states...

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained: (i) The sum of Yellow balls and twice the number of Viole...

Consider a five-digit number PQRST that has distinct digits P, Q, R, S and T, and satisfies the following conditions: $$ \begin{aligned} & P P > T \\ & R If integers 1 through 5 ar...

Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes....

A duck named Donald Duck says "All ducks always lie." Based only on the information above, which one of the following statements can be logically inferred with certainty?

Based only on the truth of the statement 'Some humans are intelligent', which one of the following options can be logically inferred with certainty?

Based only on the truth of the statement ‘Some humans are intelligent’, which one of the following options can be logically inferred with certainty?

Given below are two statements and four conclusions drawn based on the statements. Statement 1 : Some soaps are clean. Statement 2 : All clean objects are wet. Conclusion I : Some...

Statement: Either P marries Q or X marries Y Among the options below, the logical NEGATION of the above statement is:

Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of (A+B+C), (C+D+E), (E+F+G) and (G+H+K) is...