Conditional logic and ordering · SET 2

To which square can a dot be added so that both dots then meet the same conditions as in the box above? Choose from the options labelled in the figure.

An electrical circuit wiring four lights depends on switches A, B, C and D. A toggles lights 1 and 2, B toggles lights 2 and 4, C toggles lights 1 and 3, D toggles lights 3 and 4 (on becomes off and off becomes on). Switches C, A, B and D are thrown in turn and Figure 1 becomes Figure 2. One switch is not working. Which one?

In the grid of letters shown (A-E, F-J, K-O, P-T in rows of five and U-Z in the last row), what letter is two letters above the letter two letters to the left of the letter immediately above the letter three letters to the right of the letter Q?

With reference to this question, what is the next number in the sequence 3, 3, 5, 1, 3, 4, 1, 2, 3, 4, 1, 2, ? Answer with a natural number.

An electrical circuit wiring four lights depends on switches A, B, C and D. A toggles lights 1 and 2, B toggles lights 2 and 4, C toggles lights 1 and 3, D toggles lights 3 and 4 (on becomes off and off becomes on). Switches D, A, B and C are thrown in turn and Figure 1 becomes Figure 2. One switch is not working. Which one?

An electrical circuit wiring four lights depends on switches A, B, C and D. A toggles lights 1 and 2, B toggles lights 2 and 4, C toggles lights 1 and 3, D toggles lights 3 and 4 (on becomes off and off becomes on). Switches C, A, D and B are thrown in turn and Figure 1 becomes Figure 2. One switch is not working. Which one?

Switch A turns lights 1 and 2 on/off or off/on; B turns lights 2 and 4; C turns lights 1 and 3; D turns lights 3 and 4. Black = ON, white = OFF. Switches D, C, A and B are thrown in turn and Figure 1 turns into Figure 2. Which switch does not work at all?

In the grid of letters shown (A-E, F-J, K-O, P-T in rows of five and U-Z in the last row), which letter is midway between the letter two letters below the letter immediately to the left of the letter G, and the letter three letters above the letter immediately to the right of the letter V?

Five suspects, one of whom is guilty, are being interrogated. Who is the culprit if exactly three of the following statements are correct? Alf: ‘Dave did it.’ Ben: ‘It wasn’t me.’ Charlie: ‘Ernie is innocent.’ Dave: ‘Alf is lying when he accuses me.’ Ernie: ‘Ben is telling the truth.’

The letters A to H equal the numbers 1 to 8, not in that order. B+D=3, A+F=8, C+G=15, D+H=7, B+E=6, C+F=10, B+E+G=14. What is the value of G? Answer with a natural number.

Five murder suspects are being questioned. In their five statements, only three of them tell the truth. Who is the murderer? Arthur: "Derek is the murderer." Bill: "I am innocent." Charlie: "It wasn't Edward." Derek: "Arthur is lying." Edward: "Bill is telling the truth."

The combined age of Audrey and Bessie is 16, of Audrey and Cynthia is 52, and of Bessie and Cynthia is 56. How old is Cynthia? Answer with a natural number.

What day comes immediately before the day that comes two days after the day that comes four days before the day that comes immediately after Thursday?

An electrical circuit wiring four lights depends on switches A, B, C and D. A toggles lights 1 and 2, B toggles lights 2 and 4, C toggles lights 1 and 3, D toggles lights 3 and 4 (on becomes off and off becomes on). Switches C, B, A and D are thrown in turn and Figure 1 becomes Figure 2. One switch is not working. Which one?

An electrical circuit wiring four lights depends on switches A, B, C and D. A toggles lights 1 and 2, B toggles lights 2 and 4, C toggles lights 1 and 3, D toggles lights 3 and 4 (on becomes off and off becomes on). Switches D, C, B and A are thrown in turn and Figure 1 becomes Figure 2. One switch is not working. Which one?

An electrical circuit wiring four lights depends on switches A, B, C and D. A toggles lights 1 and 2, B toggles lights 2 and 4, C toggles lights 1 and 3, D toggles lights 3 and 4 (on becomes off and off becomes on). Switches A, D, B and C are thrown in turn and Figure 1 becomes Figure 2. One switch is not working. Which one?

An electrical circuit wiring four lights depends on switches A, B, C and D. A toggles lights 1 and 2, B toggles lights 2 and 4, C toggles lights 1 and 3, D toggles lights 3 and 4 (on becomes off and off becomes on). Switches B, A, C and D are thrown in turn and Figure 1 becomes Figure 2. One switch is not working. Which one?

Switch A turns lights 1 and 2 on/off or off/on; B turns lights 2 and 4; C turns lights 1 and 3; D turns lights 3 and 4. Black = ON, white = OFF. Switches B, D, A and C are thrown in turn and Figure 1 turns into Figure 2. Which switch does not work at all?

An electrical circuit wiring four lights depends on switches A, B, C and D. A toggles lights 1 and 2, B toggles lights 2 and 4, C toggles lights 1 and 3, D toggles lights 3 and 4 (on becomes off and off becomes on). Switches D, B, A and C are thrown in turn and Figure 1 becomes Figure 2. One switch is not working. Which one?

An electrical circuit wiring four lights depends on switches A, B, C and D. A toggles lights 1 and 2, B toggles lights 2 and 4, C toggles lights 1 and 3, D toggles lights 3 and 4 (on becomes off and off becomes on). Switches D, A, B and C are thrown in turn and Figure 1 becomes Figure 2. One switch is not working. Which one?