Simplification Questions

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 a - b = 1 and ab = 6, then what is the value of a3- b3?

A) 21 B) 23
C) 19 D) 25
 
Answer & Explanation Answer: C) 19

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Q:

What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan 5θ – tan 3θ)]?

A) sin 2θ B) cos 2θ
C) tan 4θ D) cot 2θ
 
Answer & Explanation Answer: B) cos 2θ

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Q:

The value of 2.33+0.0272.33-0.69+0.09

A) 2 B) 2.27
C) 2.33 D) 2.6
 
Answer & Explanation Answer: D) 2.6

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Q:

Two labourers A and B are paid a total of Rs. 1120 per day. If A is paid 180 percent of what is paid to B, how much (in Rs) is B paid?

A) 400 B) 720
C) 500 D) 620
 
Answer & Explanation Answer: A) 400

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Q:

AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm , then the length of BC is

A) 10 cm B) 14 cm
C) 5 cm D) 7 cm
 
Answer & Explanation Answer: A) 10 cm

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Q:

If tan A = 1/2 and tan B = 1/3, then what is the value of tan (2A + B)?

A) 1 B) 3
C) 5 D) 9
 
Answer & Explanation Answer: B) 3

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Q:

If the simple interest on Rs. 1 for 1 month is 1 paisa, then the rate percent per annum will be

A) 10% B) 8%
C) 12% D) 6%
 
Answer & Explanation Answer: C) 12%

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Q:

If x2+1x2 = 2, then the value of x - 1x is

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

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