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:

What is the simplified value of 0.072+0.292-0.02030.073+0.293

A) 0.6 B) 0.06
C) 1/0.6 D) 1/0.06
 
Answer & Explanation Answer: C) 1/0.6

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Q:

What is the difference between the total sale of English newspapers and the total sale of Hindi newspapers in all the localities together.

A) 7500 B) 5600
C) 6500 D) 5700
 
Answer & Explanation Answer: C) 6500

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Q:

What is the equation of the line which intercepts x­axis and y­axis at 3/4 and ­2/3 respectively?

A) 8x + 9y = 6 B) 9x + 8y = 12
C) 8x ­- 9y = 6 D) 9x + 8y = ­-12
 
Answer & Explanation Answer: C) 8x ­- 9y = 6

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Q:

If (1/4 of x) - (4/5 of 6/7) equals - 9/7, then value of x is

A) -12 B) -2.4
C) -3.6 D) -14
 
Answer & Explanation Answer: B) -2.4

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Q:

If 4 + 3x ≤ 6 + x and 3x + 5 > 2 + 2x; then x can take which of the following values?

A) 2 B) -2
C) 4 D) -4
 
Answer & Explanation Answer: B) -2

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Q:

CAlculate : 72-6-45÷5-72-2×2÷2+2

A) -16/18 B) -14/7
C) -12/7 D) -12/18
 
Answer & Explanation Answer: C) -12/7

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Q:

What value of 'p' will satisfy the equation p540 = 240p ?

A) 6 B) 10
C) 6√10 D) √10
 
Answer & Explanation Answer: C) 6√10

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Q:

Which of the following is TRUE?

A) 1123>1294>15 B) 1294>1123>15
C) 15>1123>1294 D) 15>1294>1123
 
Answer & Explanation Answer: C) 15>1123>1294

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