Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Simplification questions are asked in the Bank and Insurance exam to check the ability of an aspirant to deal with numbers which can be in one of the following two types.
- Sometimes, a calculation is given and one of the numbers is missing from the calculation. To find out the missing number, we have to approximate the given numbers or do the basic operations.
- Sometimes all the numbers are given with some operations between them & we have to simplify the calculation.
Attempt Quantitative Aptitude Quizzes
Rules Related to Simplification
Rule-(I) Replace ‘of’ by ‘Multiplication’ & ‘/’ by ‘Division’.
Explanation: Whenever we find ‘of’ in a simplification problem, we can replace that with ‘multiplication(*)’. Similarly ‘/’ can be replaced by ‘÷’.
Example: Find ¼ of 20
Solution: (¼) x 20 = 20÷4 = 5
Rule-(II) Always keep in mind the “BODMAS” rule. These operations have priorities in the same order as mentioned.
Explanation: Whenever we have more than one operation in the given calculation, we have to do the operations according to the priority specified by ‘BODMAS’
- B-Bracket
- O-Of (means multiplication)
- D-Division
- M-Multiplication
- A-Addition
- S-Subtraction
Example: Simplify: (2+3)*30
Solution: In this question, we have two things-Bracket & Multiplication. According to the BODMAS rule, we have to solve the bracket first and not multiplication. So now coming to the bracket, we have only one operation-Addition, so we will do addition.
(2+3)*30 = 5*30
Now we have only one operation to do – Multiplication
5*30 = 150
Example: Simplify: (2+5) of 80
Solution: In this question, we have three things – bracket, addition & of. Replacing ‘of’ by ‘multiplication’.
(2+5) of 30 = (2+5)*80
Now we have three things – bracket, addition & Multiplication. According to the BODMAS rule, we have to solve brackets first and not multiplication. So now coming to the bracket, we have only one operation-Addition, we will do addition.
(2+5)*80 = 7*80
Now we will do multiplication.
7*80 = 560
Rule-(III) Multiplication & Division have the same priority(Do that operation first which is on left)
Explanation: Though division has more priority than multiplication according to ‘BODMAS’, we can perform any two operations first if multiplication is on the left.
Example: 8*30/15
8*30 ÷ 15
Solution: In this question, we have two things – Multiplication & Division. Multiplication is on the left So we can perform that first.
Doing Multiplication first:
240 ÷ 15
16
Dividing first:
8*2
16
Rule-(IV) Addition & Subtraction have the same priority.
Explanation: Though addition has more priority than division according to ‘BODMAS’, we can perform any two operations first.
Example: 30+40-15
Solution: In this question, we have two things – Addition & Subtraction. So we can perform any operation first as they have the same priority.
Doing Addition first:
70 – 15
55
Doing Subtraction first:
30 + 25
55
Rule-(V) Don’t hesitate in rounding the numbers to the nearest integers.
Explanation: Most of the time the numbers are given in such a way that you can round them quickly and get the answer (Rounding should be done or not, It can be realized by looking at the given options).
Example: (324.5*15)/(5.01*24.98)
Solution: (325*15)/(5*25)
=13*3
=39
Previous Years Questions Asked in Bank Exams from Simplification
Now let us see some of the previous year questions asked from 'Simplification' & try to apply the rules learnt so far.
Q. 1) (17 -13)4 - 174 – 134 – [- 52(17)3 – 68(133)] = (?)*221
Using formula: (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3+ b4)
⇒ (a – b)4 - a4 + 4a3b + 4ab3 - b4 = + 6a2b2
(17 -13)4 - 174 – 134 – [- 52(17)3 – 68(133)] = (?)*221
Here, a = 17 and b = 13
⇒ (?)= (6 (17)2 (13)2)/221
⇒ (?) = (6 × 289 × 169)/221
⇒ (?) = 1326
Q.2) Simplify: 127.001 * 7.998 + 6.05 * 4.001
- 1000
- 1020
- 1040
- 1080
- None of these
Solution: Using the rounding concept
127 * 8 + 6 * 4
Using the BODMAS rule
1016 + 24
1040 (Option 3)
Q.3) What will come at place of ?: 9876 ÷ 24.96 + 215.005 - ? = 309.99
- 270
- 280
- 290
- 300
- 310
Solution: Using the rounding concept
9875 ÷ 25 + 215 - ? = 310
Using the BODMAS rule
395 + 215 - ? = 310
610 - ? = 310
? = 300 (Option 4)
Q.4) What will come at place of a: (128 ÷ 16 x a – 7*2)/(72-8*6+a2) = 1
- 1
- 5
- 9
- 13
- 17
Solution: Using the BODMAS rule
(8*a – 14)/(49-48+a2) = 1
(8*a – 14)/(1 + a2) = 1
8a – 14 = 1 + a2
a2 – 8a + 15 = 0
a=3 or 5 (Option 2)
Q.5) What will come at place of ?: 85.147 + 34.192*6.2 + ? = 802.293
- 400
- 450
- 550
- 600
- 500
Solution: Using the rounding concept
85 + 35*6 + ? = 803
Using the BODMAS rule
85 + 210 + ? = 803
295 + ? = 803
? = 508 [approx. = 500] (Option 5)
Q.6) What will come at place of ? : (3/8 of 168)*15 ÷ 5 + ? = 549 ÷ 9 + 235
- 189
- 107
- 174
- 296
- None of these
Solution: Using the BODMAS rule
(3*168÷8)*15 ÷ 5 + ? = 549 ÷ 9 + 235
(504÷8)*3 + ? = 61 + 235
63*3 + ? = 296
189 + ? = 296
? = 107 (Option 2)
Key Points to Remember while Solving Simplification Question
- Replace ‘of’ by ‘Multiplication’
- Replace ‘/’ by ‘Division’
- Always do the operations in priority according to ‘BODMAS’
- Division & Multiplication have the same priority (Start from left)
- Addition & Subtraction have the same priority
- Rounding can be done to simplify problems
- When the given options are very close then rounding doesn’t help much
- Always look at the options before doing simplification that can help in the elimination of options
Important Link: |
| Related Articles to Study: | |
| BBK Full Form | IIBI Full Form |
| BOA Full Form | BMB Full Form |
| TGB Full Form | AmEx Full Form |
| KVB Full Form | CUB Full Form |
| APGVB Full Form | IVB Full Form |
Click here to access Test Series
Why BYJU'S Exam Prep Test Series?
- Unlimited access to 18+ Bank and Insurance Exam mock tests
- Mock Tests designed by Exam Experts.
- Detailed Performance Analysis.
Download the BYJU’S Exam Prep App Now.
The most comprehensive exam prep app.
#DreamStriveSucceed
Comments
write a comment