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:

Solve the following: (−18)[36÷7−(−2)]÷{}(−4)19−(−3)×(−5)={}?

A) -4.5 B) 4.5
C) -2.5 D) 2.5
 
Answer & Explanation Answer: B) 4.5

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Q:

If (x+1/x) = 5, then the value of 5xx2+5x+1?

A) 1/3 B) 1/4
C) 1/2 D) 1/5
 
Answer & Explanation Answer: C) 1/2

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Q:

If secA + tanA = x, then the value of x is

A) cosA/(1 + sinA) B) √[cosA/(1 - sinA)]
C) √[cosA/(1 + sinA)] D) cosA/(1 - sinA)
 
Answer & Explanation Answer: D) cosA/(1 - sinA)

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Q:

Δ PQR is right angled at Q. If m√R = 30°, then what is the value of Cot P?

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

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Q:

What is the equation of the line passing through the point (-1,3) and having x-intercept of 4 units?

A) 3x - 5y = 12 B) 3x + 5y = 12
C) 3x + 5y = -12 D) 3x - 5y = -12
 
Answer & Explanation Answer: B) 3x + 5y = 12

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Q:

If (4x -­ 5) = (3x ­- 1), then the numerical value of (x + 4)2

A) 16 B) 64
C) 32 D) 8
 
Answer & Explanation Answer: B) 64

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Q:

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

A) 4 B) 2
C) 3 D) 5
 
Answer & Explanation Answer: C) 3

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Q:

If x - y = -6 and x + y = 16, then x2- y2 is?

A) 96 B) -96
C) 22 D) -22
 
Answer & Explanation Answer: B) -96

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