Ace Mathematical Reasoning

Mathematical operations reasoning is a critical skill that makes students employ all their other mathematical skills and critical thinking. These mathematical reasoning questions mostly appear in competitive exams like JEE and bank exams. There are, in total, seven types of mathematical reasoning :

• Intuition reasoning,
• Counterfactual thinking, 
• Critical thinking,
• Backward induction, 
• Inductive reasoning, 
• Deductive reasoning, and 
• Abductive reasoning.

The mathematical operational questions take a lot of time and thinking. So here are some tips and steps to solve mathematical reasoning questions with ease. Among the various types of reasoning, deductive reasoning is most commonly used in math classes.

Think practically

The first step is to think practically. Once you get the mathematical operations reasoning questions, start to link them with real life. When questions about real-life are given, they should have some relationship to real life. Start to think about what your answer would be correct in practical life? And if it is impractical, then probably your answer is wrong. For example, if you are getting the average height of girls as 64 feet, you may have mistakenly converted inches into feet. 

Convert the units into the easiest

When you get the mathematical operation question, start focusing on the units. Never forget to write the units at the end with the answers. Also, the units while solving the questions should be uniform and related to the questions. For example, in the question, if all the units are in metres and the answer is asked in centimetres. Then you have to convert the unit into centimetres. 

You should go with the most straightforward conversion when you have to convert the units; you should go with the most straightforward conversion, for example. For example, suppose you have two choices. In that case, one is to convert centimetres into the metre, for which you have to multiply the unit by 100, and the other choice is to convert metres into centimetres, for which you have to divide the unit by 100. Then in such cases, you should go with the first choice as that would be more leisurely, and in such cases, there are fewer errors.

Try to multiply by ones, tens, or hundred

When you get a question like 56 x 6, you should start applying your maths operations. Firstly, you should multiply the more significant digit number by a single-digit number, break it down into smaller parts, multiply it with smaller digit numbers and add up the results. For better understanding, follow the below given an example: 

56 x 6 = (50 x 6) + (6 x 6) 

=300 +36 

= 336 

Check properly

One of the facts about solving mathematical operation questions that everyone faces is laziness to recheck the question. After solving half of the question, if it seems to become impossibly hard rather than easy, and you are facing hardships in solving the question, something is done wrong. Either the maths operations used are wrong or the calculations done are wrong. In such a case, you should check over your question and make sure that you have copied all the numbers correctly and that you didn’t do the calculation wrong.

Tricks to solve problems of cards 

The mathematical operations and reasoning questions related to the cards can be solved only when you know the correct numbers of cards. So you should know that a deck of cards has a total of 52 cards in it and has four suites that are clubs or clover( ♣), spades(♠), diamonds(♦), and hearts( ♥). So if you want to draw a king of diamonds, then the probability of drawing a king of diamonds from the deck of 52 cards is one, as there is only one king of diamonds. Similarly, if asked the probability of drawing a king, your answer would be four as there is one king each in all the four suits, so there are four kings in the deck of 52 cards. 

Tricks for probability questions relating to dice

The probability questions relating to dice are most common. We are all very familiar with the dice, but we still make blunders while solving questions relating to dice. Again, to solve these questions, you need to know and remember the number of faces of a dice. There are 6 faces, starting from 1 to 6. Be clear that when you roll a dice, you have one chance among six chances that the die will stop at a certain number from 1-to 6.

Steps for solving fraction numbers

You can use maths operations very well while solving fraction numbers questions. One step is to know the method of LCM (least common multiple) and HCF (highest common factor). The alternative step is to estimate whether the fractions are nearer to one, zero, or ½, that is, half, and assume that the answer would be zero or half or one. It will help to reduce the errors.

Conclusion

The mathematical reasoning questions are most common in competitive exams, and because of this, they become one of the vital topics to prepare for the examination. The mathematical operation questions are not complicated; they need critical thinking and correct use of maths operations. Therefore, they should be one of the priorities of the students. Reasoning questions sharpen the student’s minds and help them enhance their thinking. 

Also, after the questions, the students start to look at the answer option, which wastes a lot of time. So to save time, you should start using your maths operations and solve the questions without wasting your precious time.