Content text WK3 - Y5 - TS - EXT - Logical Analysis - AN.docx.pdf
4 The displayed cards have a total sum of 89. 13 + 12 + 8 + 5 + 13 + 10 + 3 + 4 + 5 + 3 + 5 + 8 = 89 To increase his chances of winning, he should take note of the number of cards being displayed for each equivalent number. It can be seen that there are two kings, two 8s, three 5s, and two 3s, one Queens, one 10s, and one 4s. The chances of drawing a card with the same equivalent numbers of these cards are less as some of them are already displayed. Among the answer options, one needs to draw a 3 to get a sum of 92 (89 + 3 = 92), draw a 5 to get a sum of 94 (89 + 5 = 94), draw a King to get a sum of 102 (89 + 13 = 102), and to draw a 7 to get a sum of 96 (89 + 7 = 96). Since there is still no 7 that has been displayed, it means that the chances of drawing a 7 increases compared to the chances of drawing a 3, a 5, and a King. Thus, Kevin should choose 96 to increase his chances of winning. Option C is the correct answer. 5 From statement 1: If there is Skyway Avenue, then there is Thunder (if there is no Thunder, then there is no Skyway Avenue). From statement 2: If Remembering Sunday exists, then there is no La la ( it means either one of the two should only be added). From statement 3: If it does not contain Skyway Avenue, it contains Baby Blue Eyes (either Skyway Avenue or Baby Blue Eyes). From statement 4: If it contains either Remembering Sunday or Thunder, it contains Baby Blue Eyes (if there is no Baby Blue Eyes, then there is no Remembering Sunday or Thunder). If the playlist does not contain Thunder, there is no Skyway Avenue (according to statement 1). It also means that there is Baby Blue Eyes (according to statements 3 and 4). Only one should be added between Remembering Sunday and La La (according to statement 2). Hence, we are confident that the songs that can be placed in the playlist are Baby Blue Eyes, Remembering Sundays, and Story of a Girl, which are three songs. Option B is the correct answer. ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 2
6 By plotting out the descriptions, the scenarios below describe the possible sequence of the performers (letters are the starting letter of the cities e.g., R for Raymond): It is very important to consider all the conditions first before developing the different scenarios of sequences that are possible. From statement 3, we know that Vince is immediately after Wenci, and both should always be together in each scenario (WV). From the fourth statement, Wenci should be before Ursula and Zeinab. However, since it has already been decided that Ursula performs after Zeinab but before Marissa, then the sequence should be WV-Z-U-T. From statement 5, Shiela should perform either immediately before or after Marissa. Hence, both Marissa and Shiela should be plotted together (WV-Z-U-TS or ST). From statement one, the sixth position can be filled by either Raymond or Marissa. Let’s assume Raymond is 6th. R 1 2 3 4 5 6 7 However, this is not possible since the six other performers should be together as explained above, and there are only 5 positions to the left of R in scenario 1. Thus, the only possible scenario is when Marissa is sixth. Since Ursula is before Marissa, the condition in statement 2 is satisfied. Thus, Vince is automatically second, which subsequently means that Wenci is first. Shiela is either immediately before or immediately after Marissa. This gives two possible scenarios. In scenario 1, the sequence is straightforward. Scenario 1 (Shiela is 5th) W V Z U S T R 1 2 3 4 5 6 7 For scenario 2, there are three possible ways to arrange Zeinab , Ursula, and Raymond in positions 3, 4, and 5. Scenario 2A (Shiela is 7th, and Raymond is before Zeinab -Ursula) W V R Z U T S 1 2 3 4 5 6 7 Scenario 2B (Shiela is 7th, and Raymond is between Zeinab -Ursula) W V Z R U T S 1 2 3 4 5 6 7 Scenario 2C (Shiela is 7th, and Raymond is after Zeinab -Ursula) W V Z U R T S 1 2 3 4 5 6 7 From scenarios 1, 2A, 2B, and 2C, the complete list of possible cities that can occupy fifth are the following: Shiela, Ursula, and Raymond. ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 3
Option D is the correct answer. 7 G, K, J, S, L, M,N,Q represent these players, respectively: Geraldine, Klay, Jenny, Steph, Leanard, Marijim, Nikho, Queenie We are only certain that Nikho is the third track. 1 > 2 > N > 4 > 5 Restriction 1 suggests: If J not first then K not 4th Restriction 2 suggests that: If not S-L , then not both S and L Restriction 3 suggests that: If not G-J, then not both G and J Restriction 4 suggests that: If G, not S. If S, not G There are three players mentioned in the answer options: S, G, and J. Both options A and D are clearly possibilities as Jenny can be placed both fourth or fifth. Since Jenny can be placed 4th or 5th, restriction 1 can be applied, choosing the position of Geraldine to be 4th (placing Leanard either 2nd or 1st). The possible positions for Leanard can be 2nd or 4th, and when Leanard is 4th, Steph can be second, by restriction 2. The only not possible outcome is option C. For Steph to be 4th, Leanard should be 5th which is not a possibility since Leanard should precede Jenny. Option C is the correct answer. 8 Possible 2-digit combinations for option A (1523): 15, 52, and 23 Possible 2-digit combinations for option B (1682): 16, 68, and 82 Possible 2-digit combinations for option C (2143): 21,14, and 43 Possible 2-digit combinations for option D (0321): 03, 32, and 21 Options A and B are ruled out. In order to identify which answer option is divisible by 3, the sum of all the digits in a certain code should be added. If the sum is divisible by 3, it is the correct answer. ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 4