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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 4x + 3y = 11 and 3x + 2y = 8, then (x,y) is

A) 2, 0 B) 1, 6
C) 2, 1 D) 5, 6
 
Answer & Explanation Answer: C) 2, 1

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Q:

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

A) h(cotβ-cotα)cos(α+β) B) h(cotα - cotβ)
C) h(tanβ - tanα)tanα tanβ D) h(cotα+cotβ)
 
Answer & Explanation Answer: D) h(cotα+cotβ)

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Q:

Point P is the midpoint of seg AB. Co­-ordinates of P are (­-1,1) and A are (4,3). What are the co-­ordinates of point B?

A) (6, 1) B) (-­6, ­1)
C) (6, ­-1) D) (­-6, -1)
 
Answer & Explanation Answer: D) (­-6, -1)

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Q:

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 9 cm, 6 cm and 5.4 cm respectively find length of BC?

A) 3.6 cm B) 4.8 cm
C) 11.2 cm D) 9 cm
 
Answer & Explanation Answer: D) 9 cm

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Q:

If (6 ­- 18x) -­ (x ­- 7) = 8, then the value of x is ______.

A) -5/19 B) -2/13
C) 2/13 D) 5/19
 
Answer & Explanation Answer: D) 5/19

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Q:

Find the value of 1006×994?

A) 999932   B) 999964
C) 1000032 D) 1000064
 
Answer & Explanation Answer: B) 999964

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Q:

Geetha weighs 11.235 kg. Her sister weighs 1.4 times her weight. Find their combined weight?

A) 15.729 kg B) 25.964 kg
C) 26.964 kg D) 26.946 kg
 
Answer & Explanation Answer: C) 26.964 kg

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Q:

ΔPQR is right angled at Q. If secP = 13/5, then what is the value of sinR ?

A) 5/13 B) 5/12
C) 13/5 D) 13/12
 
Answer & Explanation Answer: A) 5/13

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