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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:

The angle of elevation of the top of a tower from two horizontal points (in opposite sides) at distances of 25 meter and 64 meter from the base of tower are x and 90° - x respectively . The height of the tower will be

A) 39 m B) 89 m
C) 1.6 m D) 40 m
 
Answer & Explanation Answer: D) 40 m

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Q:

If x+y+z = 0, then what is the value of x23z+y33xz+z23x ?

A) 0 B) xz
C) y D) 3y
 
Answer & Explanation Answer: C) y

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0 1707
Q:

If sec (3x – 20°) = cosec (3y + 20°), then what is the value of tan (x + y)?

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

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Q:

What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan 5θ – tan 3θ)]?

A) sin 2θ B) cos 2θ
C) tan 4θ D) cot 2θ
 
Answer & Explanation Answer: B) cos 2θ

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0 1705
Q:

If cot2A = x, then x is

A) 2cotA/(cot2A -­ 1) B) (cot2A -­ 1)/2cotA
C) (cot2A + 1)/2cotA D) 2cotA/(1 -­ cot2A)
 
Answer & Explanation Answer: B) (cot2A -­ 1)/2cotA

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0 1702
Q:

If xy (x + y) = m, then the value of x3 + y3 + 3m is:

A) m3xy B) m3x+y3
C) m3x3y3 D) mx3y3
 
Answer & Explanation Answer: D) mx3y3

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Q:

A ship is full of cargo containers. It drops 2/3 of cargo containers at the first port and takes 60 more, at the second port it drops two third of the new total and takes eleven more. On arriving at the third port it is found that it have 48 cargo containers. Find the number of cargo containers in the ship at the starting?

A) 189 B) 159
C) 161 D) 153
 
Answer & Explanation Answer: D) 153

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Q:

If 11-13xx + 11-13yy + 11-13zz = 5 then what is the value of 1x + 1y + 1z = ?

A) 1 B) 13/11
C) 13/5 D) 4
 
Answer & Explanation Answer: D) 4

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