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 simplified value of 31253 + 4253 + 36753

A) 18253 B) 5253
C) 9√125 D) 1253
 
Answer & Explanation Answer: A) 18253

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Q:

If Cosecθ + Cotθ = 2, then Cotθ = ?

A) 0 B) 0.5
C) 1 D) 0.75
 
Answer & Explanation Answer: D) 0.75

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Q:

Find the value of 0.0112 - 0.0012 of 0.14 + 0.25 × 0.20.02 × 0.01

A) 257 B) 25.7
C) 2.57 D) 0.0257
 
Answer & Explanation Answer: A) 257

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Q:

97 x 97 = ?

A) 9391 B) 9409
C) 9049 D) 9309
 
Answer & Explanation Answer: B) 9409

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Q:

In ΔPQR measure of angle Q is 900. If sinP = 12/13, and PQ = 1cm, then what is the length (in cm) of side QR?

 

A) 2.6   B) 3  
C) 2.4 D) 4
 
Answer & Explanation Answer: C) 2.4

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Q:

Which of the following points lies on the line 3x -­ 4y = ­-13?

A) (­5,­7) B) (­-5,­7)
C) (­5,­-7) D) (­-5,­-7)
 
Answer & Explanation Answer: A) (­5,­7)

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Q:

ΔPQR is right angled at Q. If m∠P = 45°, then find the value of (cosecR + 1/3).

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

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Q:

Simplify x5 ÷ x43 ÷ x

A) x3 B) x2
C) X D) 1/X
 
Answer & Explanation Answer: B) x2

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