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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:

The point P(3,­-2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?

A) x = 4; y = -­8 B) x = ­-3; y = -­8
C) x = 3; y = 8 D) x = ­-3; y = 8
 
Answer & Explanation Answer: A) x = 4; y = -­8

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0 802
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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0 800
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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0 800
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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Q:

What is the value of 299996 x 300004?

A) 89999999984 B) 89999699984
C) 89999999884 D) 89999999974
 
Answer & Explanation Answer: A) 89999999984

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Q:

What is the simplified value of (sec A + cos A)(sec A – cos A)?

A) 2 tan2A B) 2 sin2 A
C) sin2 A tan2 A D) sin2A + tan2 A
 
Answer & Explanation Answer: D) sin2A + tan2 A

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Q:

What is the simplified value of (sec4 A – tan2 A) – (tan4 A + sec2 A)?

A) -1 B) 1/2
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

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0 797