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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:

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 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:

On dividing 221a2b2 by 13b2, we get _____.

A) 17a2 B) 17b2
C) 13a2b2 D) 13
 
Answer & Explanation Answer: A) 17a2

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Q:

In ΔPQR measure of angle Q is 90°. If tanP = 4/3, and PQ = 1.5cm, then what is the length (in cm) of side PR?

A) 2 B) 2.5
C) 3 D) 4.8
 
Answer & Explanation Answer: B) 2.5

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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 [4(2x/5 - 3/2)]/3 + 7/5 = 37/5, then what is the value of x?

A) -15 B) 7/5
C) 15 D) -7/5
 
Answer & Explanation Answer: C) 15

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Q:

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

A) 30° B) 45°
C) 60° D) 90°
 
Answer & Explanation Answer: C) 60°

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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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