Free Scientific Reasoning MCQs with Answers

161. A rectangular strip of card is folded to make the following shape.Which one of the following cards, if folded along the lines indicated, could result in this shape?

• A. A
• B. B
• C. C
• D. D

Explanation: Option A is the correct answer because it accurately represents the shape that would be formed by folding a rectangular strip along the indicated lines. Option B, C, and D do not match the expected shape and are therefore incorrect choices.

162. Mrs Jones has recently sought quotes to build a fence from five companies. The companies charge similar prices for each item. Unfortunately, her young son cut four of the quotes in half while playing with scissors. She has one complete quote, shown below.The 8 halves of quotes have been labelled P, Q, R, S and 1, 2, 3, 4.Which of the following solutions matches the correct halves of the quote?

• A. P2 Q4 R8 S1
• B. P4 Q11 R2 S6
• C. P4 Q1 R2 S4
• D. P1 Q2 R1 S3

Explanation: The correct answer is Option C: P4 Q1 R2 S4This combination accurately pairs the halves by following the sequence and matching patterns similar to the complete quote provided. Option A does not adhere to the sequence. Option B includes numbers that aren't part of the pattern. Option D incorrectly matches the halves and does not follow the pattern.

163. I want to cut 10 identical rectangles, each 6cm x 10cm, from rectangular plastic boards that are 15cm x 20cm. Each of the 10 rectangles must be cut out as one piece - joins are not allowed.What is the smallest number of plastic boards that I can use?

• A. 2
• B. 3
• C. 4
• D. 5

Explanation: To efficiently cut 10 identical rectangles, each 6cm x 10cm, from 15cm x 20cm plastic boards, you need a minimum of 4 boards. By cutting 2 rectangles from each of the 4 boards, you can achieve the required quantity without wastage. Options A, B, and D are incorrect because they would either result in wastage or not meet the required dimensions efficiently.

164. In a restaurant recently, I received the following bill:What percentage of the cost of the food and drink had been added to the bill as the service charge?

• A. 11.1%
• B. 12.5%
• C. 14.0%
• D. 15.0%

Explanation: To find the percentage of the service charge added to the bill, you need to divide the service charge by the total cost and multiply by 100. In this case, the service charge percentage is calculated as (service charge / total cost) * 100 = (service charge / (food cost + drink cost + service charge)) * 100. The correct answer is 12.5% as provided in option B. Options A, C, and D do not match the correct calculation.

165. Ed wants to represent his favourite superheroes using graphs. The data for his favorite superheroes is listed below along with three of the four graphs.Which superhero's graph has yet to be drawn?

• A. Fiesta
• B. Camoror
• C. Sgirk
• D. Powfist

Explanation: The correct answer is Powfist. Ed has already represented Fiesta, Camoror, and Sgirk using graphs, so Powfist's graph is the one that has yet to be drawn. The other options, Fiesta, Camoror, and Sgirk, are incorrect as their graphs have already been created based on the data provided.

166. Many people were worried when they found that their photocopiers had been sometimes changing numbers on one photocopy; sometimes, although not always, changed 6 into 8.A list of prices was copied on this photocopier. The first five prices on the copy are shown below.$54.80$60.00$65.40$70.80$78.20In the original list, the prices had increased by the same amount each time.What was the next price on the original list?

• A. $81.60
• B. $81.80
• C. $83.60
• D. $85.60

Explanation: The correct answer is $81.60. The original list of prices increases by $2.80 each time. Therefore, after $78.20, the next price would be $81.60. The other options do not align with the consistent pattern of price increases observed in the question.

167. A tramway links the towns of Peafort and Yubridge. The daily timetable is shown below.Which is the only station from which two trams depart in opposite directions at the same time as each other?

• A. Kewham
• B. Arcaster
• C. Essley
• D. Teedon

Explanation: The correct answer is Teedon station. This is because it is the only station where two trams depart in opposite directions at the same time. Kewham, Arcaster, and Essley do not have trams departing in opposite directions simultaneously. Identifying the station where this unique occurrence happens is key to solving this question.

168. A die and its net is shown below.The die is rotated a half turn about each of the three axes in succession. Which face is on the top of the die as a result?

• A. A
• B. B
• C. C
• D. D

Explanation: After the die is rotated a half turn about each axis, face A will end up on the top. This is because the opposite faces of a die add up to 7, so after a half turn, face A will be opposite to face D which was initially on the bottom. Faces B, C, and D will not end up on the top after the rotations due to their relationships with face A.

169. William buys a bus ticket every day, Monday to Friday, for $2.50. The bus company has just introduced a card which can be bought to get a discount on all bus fuels.Each carals valid for 4 weeks. William has worked out that he will pay exactly the same amount for the card as he will if he continues to buy tickets at the normal price. Which of the following could be the price and discount for the card?

• A. $5 for the card and a discount of 10% on ticket prices
• B. $5 for the card and a discount of 50% on ticket prices
• C. $10 for the card and a discount of 50% on ticket prices
• D. $10 for the card and a discount of 80% on ticket prices

Explanation: The correct answer is Option A: $5 for the card and a discount of 10% on ticket prices. This combination ensures that the total cost of purchasing the card and using the discount is equal to the cost of buying individual tickets. Options B, C, and D are incorrect because they either offer a discount that makes the card cheaper than buying individual tickets or a card price that results in a higher total cost.

170. Mr and Mrs Porter drove down to see Sweeney. Mr Porter drove the first 20km on the way there, and Mrs Porter drove the rest of the way. On the return journey, she drove the first 30km and he drove the rest. How much farther did Mrs Porter drive than Mr Porter?

• A. No farther
• B. 10km
• C. 20km
• D. There is not enough information to work it out

Explanation: Mrs Porter drove 10km farther than Mr Porter. On the way there, Mr Porter drove 20km and Mrs Porter drove 30km on the return journey. Therefore, Mrs Porter drove 10km more than Mr Porter in total. Option A is incorrect because Mrs Porter did drive farther. Option B is incorrect as Mrs Porter drove farther than 10km. Option D is incorrect as there is sufficient information in the question to calculate the difference in distances driven.