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:

What is the value of cosecA/(cosec2A ­- 1)?

A) sinA B) secA
C) tanA D) cosA
 
Answer & Explanation Answer: B) secA

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Q:

If -5x3+2 = x-6, then find the value of x?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

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Q:

A, B and C can finish a job working alone in 72, 24 and 36 days respectively. In how many days they can finish the job if they worked together?

A) 12 B) 9
C) 15 D) 18
 
Answer & Explanation Answer: A) 12

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Q:

The length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm is

A) 10 cm B) 5 cm
C) 6 cm D) 12 cm
 
Answer & Explanation Answer: A) 10 cm

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Q:

If Cot θ = 24/7, then what is the value of Sec θ?

A) 7/25 B) 25/24
C) 8/25 D) 9/25
 
Answer & Explanation Answer: B) 25/24

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Q:

What value of 'p' will satisfy the equation p540 = 240p ?

A) 6 B) 10
C) 6√10 D) √10
 
Answer & Explanation Answer: C) 6√10

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Q:

If sinθ + cosθ = 1, then the sinθ cosθ is equal to

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

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Q:

Given: 5x -3(2x-7) > 3x - 1 < 7 + 4x; then x can take which of the following values?

A) 6 B) 9
C) -6 D) -9
 
Answer & Explanation Answer: C) -6

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