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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:

The value of 2 Tan53°Cot37°-Cot80°Tan10° ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

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Q:

If a + b + c = 27, then what is the value of (a – 7)3 + (b – 9)3 + (c – 11)3 – 3(a – 7)(b – 9)(c – 11)?

A) 0 B) 9
C) 27 D) 3
 
Answer & Explanation Answer: A) 0

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Q:

If A = 0.216 + 0.0080.36+0.04-0.12 & B = 0.729-0.0270.81+0.09+0.27, then what is the value of A2+B22 ?

A) 0.8 B) 1
C) 1.4 D) 2.2
 
Answer & Explanation Answer: B) 1

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Q:

If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

A) 125√3 B) 147√3
C) 156√3 D) 169√3
 
Answer & Explanation Answer: B) 147√3

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Q:

∆XYZ is right angled at Y. If tanX = 24/7, then what is the value of cotZ ?

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

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Q:

A box weighs 8.5 kg when full of sand and weighs 5.5 kg when it is half filled with sand . Weight of the empty box is

A) 5 kg B) 6 kg
C) 2.5 kg D) 4.5 kg
 
Answer & Explanation Answer: C) 2.5 kg

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Q:

What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)

21.003 × 39.998 –209.91 = 126× ?

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

Explanation:

Take nearest values21.003 × 39.998 –209.91 = 126× ?630 = 126× ?? = 5 (approx)

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Q:

Rehman walks at 8 km/hr and Roma cycles at 13 km/hr towards each other. What was the distance between them when they started if they meet after 36 minutes?

A) 12.6 kms B) 18.9 kms
C) 15.8 kms D) 9.5 kms
 
Answer & Explanation Answer: A) 12.6 kms

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