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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 1/(1 + cosA) + 1/(1 ­- cosA) = x , then value of x is

A) 2sec2A B) 2cosecA
C) 2cosec2A D) 2secA
 
Answer & Explanation Answer: C) 2cosec2A

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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:

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre Oand radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord ABis 5 cm, then what is the value (in deg) of COD?

A) 90 B) 120
C) 150 D) 135
 
Answer & Explanation Answer: B) 120

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Q:

The measures of the three angles of a triangle are in the ratio 1:2:3. What is the measure of the biggest angle?

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: C) 90°

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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:

If the two lines px + 6y+3=0 and 2x + qy+3=0 have infinite solutions then find the value of p and q respectively.

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

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Q:

If 3√7 + √343 = 19.21, then find the value of √252 + 20√7.

A) 39.4 B) 49.9
C) 56.8 D) 92.3
 
Answer & Explanation Answer: B) 49.9

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Q:

In ΔUVW measure of angle V is 90 deg. If sinU = 24/25, and UV = 0.7cm, then what is the length (in cm) of side VW?

A) 2.5 B) 3
C) 2.4 D) 4
 
Answer & Explanation Answer: C) 2.4

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