Simplification Questions

FACTS  AND  FORMULAE  FOR  SIMPLIFICATION  QUESTIONS

 

 

1. BODMAS Rule: This rule depicts the correct sequence in which the operations are to be executed,so as to find out the value of a given expression. Here, 'B' stands for bracket , 'O' for of , 'D' for division and 'M' for multiplication, 'A' for addition and 'S' for subtraction.

Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order(), {} and [].

After removing the brackets, we must use the following operations strictly in the order:

(1) of    (2)division   (3) multiplication   (4)addition   (5)subtraction.

 Modulus of a real number : Modulus of a real number a is defined as |a| = aif a>0-aif a<0

 

2. Virnaculum (or bar) : When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum.

Q:

If 3x+7=x2+p=7x+5, what is the value of P ?

A) 17/2 B) 25/3
C) 33/4 D) 41/5
 
Answer & Explanation Answer: A) 17/2

Explanation:

 

 

3x+7=7x+5=>7x-3x=2=>4x=2=>x=2

 

Now, 3x+7=x2+p=32+7=14+p=>p=172

Report Error

View Answer Report Error Discuss

Filed Under: Simplification

11 12844
Q:

How many  18' s are there in  3712?

A) 300 B) 400
C) 500 D) 600
 
Answer & Explanation Answer: A) 300

Explanation:

3712 = 752

Required number =  75218 = 75 x 4 = 300

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

23 11717
Q:

38% of 7500 +  ?% of 375 = 50% of 6000

A) 50 B) 40
C) 60 D) 45
 
Answer & Explanation Answer: B) 40

Explanation:

Let ? = p

38 x 7500/100  + p x 375/100 = 50 x 6000/100

=> 38 x 75 + 3.75p = 3000

=> 3.75p = 3000 - 2850

=> p = 150/3.75 

=> p = ? = 40

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

13 11640
Q:

18800÷470÷20=?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

Given Expression = 18800470÷20 = 40÷20 = 2

Report Error

View Answer Report Error Discuss

Filed Under: Simplification

12 11601
Q:

If a - b = 3,  a2+b2=29, find the value of ab.

A) 10 B) 12
C) 15 D) 18
 
Answer & Explanation Answer: A) 10

Explanation:

2ab=a2+b2-a2-b2

 

29-9=20

=>ab=10

Report Error

View Answer Report Error Discuss

Filed Under: Simplification

8 11326
Q:

By how much is three-fifth of 350  greater than four-seventh of 210 ?

A) 90 B) 100
C) 110 D) 120
 
Answer & Explanation Answer: A) 90

Explanation:

3/5 of  350 - 4/7 of 210 = 210 - 120 = 90.

Report Error

View Answer Report Error Discuss

Filed Under: Simplification

16 11205
Q:

Twenty times a positive integer is less than its square by 96. What is the integer ?

A) 42 B) 36
C) 48 D) 24
 
Answer & Explanation Answer: D) 24

Explanation:

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

12 11039
Q:

If 3x-y=273x+y=243 then find the x value

A) 2 B) 8
C) 4 D) 1
 
Answer & Explanation Answer: C) 4

Explanation:

Given that 3x-y=273x+y=243

3x-y =33 , 3x+y=35

 => x-y=3, x+y=5

 => x = 4

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: CAT
Job Role: Bank Clerk

15 10673