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 Simplification Questions

Popular Latest Rated Important Formulae

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 (x – 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0, then what are the values of k1 and k2?

A) k1 = 6, k2 = – 1 B) k 1 = 1, k 2 = – 6
C) k 1 = 1, k2 = 6 D) k1 = – 6, k2 = 1
 
Answer & Explanation Answer: B) k 1 = 1, k 2 = – 6

Explanation:
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Q:

If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

A) 125√3 B) 147√3
C) 156√3 D) 169√3
 
Answer & Explanation Answer: B) 147√3

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Q:

If x - 1/x = 1 then what is the value of 1x1x-1-1x+1+1x2+1-1x2-1?

A) ±√5 B) 2/5
C) ±2/√5 D) ±√5/2
 
Answer & Explanation Answer: C) ±2/√5

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Q:

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? √580×∛510+ 49.999 x 3.999=?

A) 384 B) 392
C) 410 D) 372
 
Answer & Explanation Answer: B) 392

Explanation:

Take nearest values
√580×∛510+ 49.999 x 3.999=?
24x 8 + 200 = 392

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Q:

Mayur can complete a work in 27 hours. If he is joined by Jayantika who is 100% more efficient, in what time will they together finish the work?

A) 6 hours B) 3 hours
C) 9 hours D) 10 hours
 
Answer & Explanation Answer: C) 9 hours

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Q:

If 2x + 3y – 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?

A) 32 B) 52
C) 64 D) 46
 
Answer & Explanation Answer: B) 52

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Q:

If the expression px3 – qx2 – 7x – 6 is completely divisible by x2 – x – 6, then what is the value of p and q respectively?

A) 0, 1 B) 1, 0
C) 2, 1 D) 1, 2
 
Answer & Explanation Answer: B) 1, 0

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Q:

What is the value of 2+2+2+2.......

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

Explanation:

Let 2+√2+√2..... = t
2+√t = t
t - 2 = √t
t = 4

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