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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 a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower in meters is

A) √3 B) 5√3
C) 10√3 D) 20√3
 
Answer & Explanation Answer: C) 10√3

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Q:

If a - b = 2 and ab = 15, then what is the value of a3- b3?

A) 152 B) 112
C) 108 D) 98
 
Answer & Explanation Answer: D) 98

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Q:

The costs of daily ticket of local train is Rs. 50 and Monthly Pass costs is Rs. 1125. If I buy the Monthly Pass and travel for 30 days in a month then I save?

A) 10 percent B) 25 percent
C) 14 percent D) 15 percent
 
Answer & Explanation Answer: B) 25 percent

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Q:

A triangular prism has 9 edges. How many vertices does it have?

A) 8 B) 6
C) 12 D) 10
 
Answer & Explanation Answer: B) 6

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Q:

If a:b = 3:8, find the value of (5a ­ 3b)/(2a + b).

A) 9/14 B) 14/9
C) -9/14 D) -14/9
 
Answer & Explanation Answer: C) -9/14

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Q:

The value of sinθ1+cosθ + sinθ1-cosθ

A) 2sinθ B) 2cosθ
C) 2secθ D) 2cosecθ
 
Answer & Explanation Answer: D) 2cosecθ

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Q:

If x = y + 2 then x3 -  y3 -  z3 is

A) 0 B) 3xyz
C) -3xyz D) 1
 
Answer & Explanation Answer: B) 3xyz

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Q:

Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

A) xy B) √( y/ x)
C) √( x/ y) D) √( xy)
 
Answer & Explanation Answer: D) √( xy)

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