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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 2x -3(x + 2) < 5 - 2x < -x + 2, then find the value of x.

A) 2 B) 0
C) 10 D) 12
 
Answer & Explanation Answer: C) 10

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Q:

If sinA/(1 + cosA) = x, then x is

A) cosecA + cotA B) secA - cotA
C) secA + cotA D) cosecA - cotA
 
Answer & Explanation Answer: D) cosecA - cotA

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Q:

Expand : S + 23

A) S3+3S2+12S+8 B) S3+3S2+6S+8
C) S3+6S2+12S+8 D) S3+6S2+6S+8
 
Answer & Explanation Answer: C) S3+6S2+12S+8

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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:

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:

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:

ΔUVW is right angled at V. If secU = 5/3, then what is the value of tanW ?

A) 3/4 B) 5/3
C) 4/5 D) 4/3
 
Answer & Explanation Answer: A) 3/4

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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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