How to Solve LOGICAL REASONING Questions Step by Step

[00:00:00]Which number doesn't belong in this series? 3, 5, 11, 14, and 17.

[00:00:12]Let's break it down. Most of these numbers are prime. They can't be [music] divided evenly by anything but one and themselves. 3, 5, 11, and 17 all check out. But 14, it's divisible by 2 and 7.

[00:00:26]So, the correct answer here is choice D.

[00:00:28]14 doesn't belong.

[00:00:30]How many triangles are in this shape?

[00:00:39]I counted eight triangles. If you spot more, make sure to post it in comments.

[00:00:43]Here all they are for you. 1, 2, 3, 4, 5, 6, [music] 7, and 8. And the correct answer here is choice D. Eight triangles. If today is Wednesday, what day will it be 100 days from now? Let's do the math. No calendar needed.

[00:01:06]Let's break it [music] down. There are 7 days in a week, so divide 100 by 7. That gives us 14 weeks and the remainder of two. To solve it, we count two days forward from Wednesday. Thursday, Friday. And the correct answer here is choice B. Friday.

[00:01:21]If all managers are employees and some employees are interns, can you determine which of the following must be true?

[00:01:35]Let's break it down. Managers are fully inside the employee group. [music] Interns are partially inside it. So, while we can't say interns and managers overlap, one thing is certain. All interns are employees. So, the correct answer here is choice B. All interns are employees.

[00:01:52]A company's profits just hit $200,000, but that's after 25% jump. How much were they before?

[00:02:07]Let's break it down. A 25% increase means 200,000 is 125 of the original. To reverse it, we need to divide it by 1.25. That gives us $160,000.

[00:02:19]So, the correct answer here is just B, $160,000.

[00:02:23]At first glance, this matchstick looks broken. 5 - 3 doesn't equal 4. But, can you fix it with just four extra matchsticks?

[00:02:39]Here's the trick. Turn the five into a six by adding one matchstick. Change the minus sign into a plus by adding two more. Then, transform the four into a nine with the final matchstick. And now, the equation reads 6 + 3 = 9, which is perfectly valid and within the rules.

[00:02:57]Think you can rank people [music] by height without ruler? Let's test your deduction skills. Sam is taller than Amy. Amy is taller [music] than Bob. Who is the shortest?

[00:03:14]If Sam is the tallest and [music] Amy is in the middle, that leaves just one person at the bottom of the height chain. And the shortest it's C, Bob.

[00:03:23]Simple comparison, sharp logic.

[00:03:25]In this question, you have three shapes per row, but one is missing. Can you find the pattern and detect the missing shape?

[00:03:39]Each shape has a different number of internal layers. In the top row, we have a triangle with zero inner layers, a circle with two, and the square with one. To complete the second row, we need one of each shape and one of each inside layer counts 0, 1, and 2. The missing shape, a triangle with one inner layer.

[00:03:57]And the correct answer here is choice B.

[00:04:00]We're handed a box of puzzle pieces. Can you figure out what fraction are red?

[00:04:12]Let's break it down. Add them up. 5 [music] + 4 + 1 = 10 total pieces. Now, just take the red ones, five out of 10.

[00:04:20]That's 5/10 of the puzzle. And the correct answer here is choice D.

[00:04:24]You're given this analogy. Doctor is to hospital as which pair shows the same kind of relationship?

[00:04:38]Let's break it down. A doctor works in a hospital. So, we're looking for a person and their workspace.

[00:04:43]>> [music] >> A teacher doesn't work in a homework. A mechanic uses tools, but doesn't work in one. A driver transports passengers, [music] not a place. The only one that fits, a chef works in a kitchen. And the correct answer here is choice A.

[00:04:57]You're looking at three perfect squares, but your goal is to end up with just two. And here's the twist. You can only move three matchsticks. The squares may be different in size, and you are not allowed to remove or break any matchsticks. Just move three.

[00:05:18]Here's the trick. Move three matchsticks from the smaller squares and reposition them to form one large square on the right. Now, you're left with just two squares, one small and one big.

[00:05:29]The price tag drops from $30 down to 24.

[00:05:33]How big is the discount?

[00:05:42]Let's break it down. That's a $6 drop.

[00:05:44]Now, divide the drop by the original price. 60 / 30 = 0.2. Multiply by 100 to get percentage. 0.2 by 100 = 20% and the correct answer here is choice D, 20%.

[00:05:58]Which of the following is the best synonym for concise? A, detailed. B, brief. C, complex. Or D, vague.

[00:06:13]The trick here is knowing what concise really means. Something short, sharp, and full of meaning. Concise doesn't mean detailed, complex, or unclear. It means delivering the point in fewer words. So, the correct answer here is choice B, brief.

[00:06:28]A person starts by facing north. They turn 90° clockwise, then [music] make 180° turn in the opposite direction, counterclockwise. Which direction are they facing [music] now?

[00:06:46]A 90° clockwise turn takes the person to east. Then 180° counterclockwise turn from east, [music] 90° to north, 180° to west. And the correct answer here is choice C, west.

[00:06:59]If it rains, [music] the event will be canceled. Today, it's not raining. So, can you tell for sure if the event is still on?

[00:07:13]Here's the catch. The rule only tells us what happens if it rains, but it doesn't. [music] So, we're left on guessing. Maybe it's canceled for another reason. So, the only solid conclusion is choice D, there's insufficient [music] information.

[00:07:27]One car goes 62 mi in 2 [music] hours.

[00:07:30]The other, 93 in 3 hours. Who is the speed king?

[00:07:41]Let's do the math. First car, 62 / 2 = 31 mph. Second car, 93 / 3 = again 31 mph. Same speed, different distance. And the correct answer here is choice C.

[00:07:55]Both travel at the same speed.

[00:07:57]A train leaves station A at 6:00 a.m.

[00:08:00]moving at 60 mph. Another train leaves the same station at 8:00 a.m. at 90 mph.

[00:08:06]When will the second train catch up?

[00:08:15]First train has a 2-hour head start.

[00:08:18]During that time, it travels 120 miles.

[00:08:20]Difference in speed is 30 mph. 120 / 30 = 4 [music] hours. Second train left at 8:00 a.m. 8:00 a.m. + 4 = 12:00 p.m. The correct answer here is choice B.

[00:08:33]If plan becomes [music] nple, how will task be written using the same rule?

[00:08:45]Start with plan. What changed? The last letter n jumped to the front. The rest, pla, stayed [music] the same. So, the transformation is last letter first, rest of the world follows. Now, let's apply the same logic to task. The last letter is k. Move it to the front.

[00:09:02]What's left? tas. Put it together and what do you get? ktas. So, the correct answer here is choice C.

[00:09:09]Consider a three triangles. First triangle has number six in the middle and then numbers three, two, and one on outside. Second triangle has number 12 in the middle and then [music] numbers two, four, and six on outside. Third triangle has number 17 in the middle >> [music] >> and then numbers five, seven, and outside. And in the bottom right corner, there's a missing number, which you need to calculate and select your answer out of four possible choices. A, three. B, five. C, seven. Or [music] D, 10. Can you try to solve it on your own and choose the right answer?

[00:09:50]This question has an easy answer, though many overlook it. But I'm pretty sure you're not one of those people. To understand the answer, let's assign letters to each section of the triangle, A, B, C, and D. [music] And the pattern here is that sum of all the outside numbers equals the inside number. A + B + C = D. Let's verify this pattern with the first triangle. 3 + 2 + 1 = 6. Do you still have doubts? Let's look at the second triangle. 2 + 4 + 6 = 12. And now it's the magic time to calculate the missing number. 5 + the missing number + 7 = 17. 17 - 12 = 5.

[00:10:32]And the correct answer here is just B, 5.

[00:10:35]Here's the quick question to stretch your logical thinking. At first glance, it might seem abstract, but the pattern is simple once you spot [music] it.

[00:10:43]Investor is to stock as borrower is to what? Take a second now. Think about what an investor uses or deals with.

[00:10:51]>> [music] >> A stock, right? Now think about what borrower uses in similar financial sense.

[00:10:56]>> [music] >> And here are your answer choices. A, loan. B, credit. C, debt. Or D, interest. And now let's set the timer, just like in the real test.

[00:11:12]This analogy is all about roles and tools. An investor puts money into a stock to get returns. A borrower takes something to use now and pay back later.

[00:11:23]What do they take? Definitely not debt, that's the result. Not interest, that's the cost. And not credit, that's the ability. The correct answer is financial tool they actually receive a loan. And the answer is A, loan. Investor uses stock, borrower uses loan. Simple and sharp.

[00:11:41]If this video made things a little clearer, please like, subscribe, and have a wonderful day.

[00:11:58]>> [laughter] [laughter] [laughter] [applause]