In the following equations, if '+' is interchanged with and '6' is interchanged with
'7', then which equation would be correct?
78 - 68 + 66 = 59
76 - 75 + 77 = 56
62 - 67 + 76 = 83
O
67 - 76 + 43 = 100
Answers
The Interchange of Signs and Numbers section will have questions that are based on arithmetical reasoning ability of the candidate. In such questions, the mathematical operations will be put in random and you will have to guess which symbol represents what operation. These questions form an important category in the IBPS PO, SO, SBI and other such exams. Hence here we will see types of questions that you are most likely to see in your exam. Let us begin!
Sequence of Occurence of Events in a Process
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Solve
Questions
The two expression on their side of the sign (=) will have the same value if two terms on their side or on the same side are interchanged. The correct terms to be interchanged have been given as one of the four alternatives under the expressions. Find the correct alternative in the given case.
7
×
2
−
3
+
8
÷
4
=
5
+
6
×
2
−
24
÷
3
1 Verified answer
P
@
Q
,
M
≠
N
,
N
⊂
Q
1 Verified answer
Choose the correct answer from the alternatives given.
If - stands for
÷
, + stands for
×
,
÷
stands for -and
×
stands for +, then which one of the following equations is correct?
1 Verified answer
Quick summary
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Interchanging of Signs & Numbers
2 mins read
Types of Questions in Mathematical Operations
1. Making the equation balanced.
2. Substituting the symbols.
3. Interchange of numbers and signs
4. Mathematical operations questions based on tricks.
Out of these topics, today we are going to discuss in detail about the interchange of numbers and signs only. Rest of the topics will be covered in other articles.
Browse more Topics under Mathematical Operations
Coded Operations
Problem-Solving By Substitution
Mathematical Operations Practice Questions
So, what type of questions are the interchange of signs and numbers?
Interchange
Source: Pxhere
Generally, in these questions, you need to interchange the numbers with the signs or vice versa. You need to find the right sign or number so that the equation can be balanced on both the sides Sometimes even artificial symbols are also used to denote the real signs. You need to use trial and error method to find the answer. Along with this, you need to have an approach beforehand so that you can practice questions accordingly. And that is why we are here to discuss the tricks and concepts concerning today’s topic. We will also help you with some practice questions afterwards.
Solved Examples
Q. 12 – 4 + 11 x 3 ÷ 6 = 6
A. -, x, +, and –
B. +, -, x, and +
C. x, ÷, -, and +
D. ÷, +, x, and ÷
Answer: Now in this question, we need to find the correct symbols which will fit on the left side of the question so that the answer must be 6 on both the sides. We will try and apply each option one by one and see which one fits better. When we use option 1 the equation will be, 12 – 4 x 11 + 3 – 6 = 8 x 33 – 6 = 264 – 6 = 258. This is no where near 6.
For 2nd option the equation will be 12 + 4 – 11 x 3 + 6 = (16) – (33) + 6 = -17 + 6 = -11. Again, this is nowhere close near the required answer.
Now, let’s check for the option 3rd, equation will be 12 x 4 put ÷ sign 11 – 3 + 6 = (48) ÷ sign (8) + 6 = 6 + 6 = 12. Thus this is also not a correct option. So, the 4th option will be the correct answer. Let’s find out using the symbols from the option 4. 12 ÷ 4 + 11 x 3 ÷ 6 = (3) + (33) ÷ 6 = 36 ÷ 6 = 6 which is the required answer.
Number Based Questions
Q. In the given question, interchange the two numbers to form a correct equation.
8 x (4/3) + 9 – 5 = 10
1. 5, 3 2. 8, 4
3. 9, 3 4. 4, 3
Answer: In this question, we need to find the two numbers that after interchanging will balance the equation on both the sides. We will go through each and every option and try it to put it into the equation and see which one fits better.
Option 1. In option 1 you need to replace 5 and 3. After replacing the equation will be something like this: 8 x (4/5) + 9 – 3 = 8 x (4/5) + 6. This answer will be an irrational number.
Option 2. For 2nd option, we have to replace 8 and 4. So the equation will become 4 x (8/3) + 9 – 5. Here again, the answer will be in the form of irrational. So this option is also not possible.
Option 3. When you replace in the above equation the answer will be once again in irrational form.
Option 4. In this option you need to interchange 4 and 3 of their respective positions. So you will get an equation like this, 8 x (3/4) + 9 – 5 = 6 + 9 – 5 = 6 + 4 = 10. So the correct answer is option (4).
Answer:
Concept:
The Character and Number Interchange section will contain questions that are based on the candidate's arithmetic reasoning ability. In such questions, the math operations will be randomly placed and you will have to guess which symbol represents which operation. These questions form an important category in IBPS PO, SO, SBI and other similar exams.
Find:
We find the correct equation
Given:
In the following equations, if '+' is interchanged with '-' and '6' is interchanged with '7', then which equation would be correct?
78 - 68 + 66 = 59
76 - 75 + 77 = 56
62 - 67 + 76 = 83
67 - 76 + 43 = 100
Step-by-step explanation:
Interchanging '+' and '-' and '6' and '7',
Option 1:
72+76-6783
148-67 = 83
81 is not equal to 83
Option 2:
68+78-77 59
146-77 = 59
69 is not equal to 59
Option 3:
67+65-66 57
132-66 = 57
66 is not equal to 57
Option 4:
76+67-43=100
143-43=100
100 = 100
Hence, option 4 is the right answer.
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