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 n + n2 + n4 + n8 = 45, then find the value of 'n' which will satisfy the equation.

 

 

A) 16 B) 24
C) 36 D) 48
 
Answer & Explanation Answer: B) 24

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Q:

Compute : (50 + 0.5 x 20) / 0.7

A) 8.571 B) 85.1
C) 85.71 D) 72.85
 
Answer & Explanation Answer: C) 85.71

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Q:

A fraction, when taken away from 1/3 gives 1/12. The fraction is

A) 5/12 B) 1/4
C) 3/4 D) 1/9
 
Answer & Explanation Answer: B) 1/4

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Q:

In a triangle ABC, a line is drawn from C which bisects AB at point D. Find the ratio of area of the triangles DBC and ABC.

 

 

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

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Q:

If Tan A = 15/8 and Tan B = 7/24, then Tan (A - B) = ?

A) 304/297 B) 304/425
C) 416/87 D) 87/416
 
Answer & Explanation Answer: A) 304/297

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Q:

The value of (sec2θ + 2tanθcotθ - tan2θ) is

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

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Q:

Simplify (2/7 + 3/5) / (2/5 + 2/7)

A) 31/24 B) 24/31
C) 26/25 D) 12/13
 
Answer & Explanation Answer: A) 31/24

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Q:

What is the value of 13 x 4932?

A) 4369 B) 4459
C) 4549 D) 4639
 
Answer & Explanation Answer: B) 4459

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