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 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:

Tan 45° + Cosec 60° =

A) (1 + 2√2)/2 B) (√3 + 2)/√6
C) 5/√3 D) (3 + 2√3)/3
 
Answer & Explanation Answer: D) (3 + 2√3)/3

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1 1893
Q:

If cot2A -­ cos2A = x, then value of x is

A) tan2Asec2A B) cotAcosA
C) cot2Acos2A D) tanAsecA
 
Answer & Explanation Answer: C) cot2Acos2A

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Q:

The difference between two numbers is 1146. When we divide the larger number by smaller we get 4 as quotient and 6 as remainder. Find the larger number

A) 1526 B) 1431
C) 1485 D) 1234
 
Answer & Explanation Answer: A) 1526

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4 1878
Q:

If 27x + 27[x(1/3)] = 972, then what is the value of x?

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

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Q:

What is the value of 0.55 x 4.5/0.81 ?

A) 3.555 B) 55/18
C) 3.05 D) 55/81
 
Answer & Explanation Answer: B) 55/18

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5 1865
Q:

If 3P/5 = 7Q/2 = 7R/5, then what is the ratio of p, Q and R respectively?

A) 3 : 2 : 5 B) 3 : 35 : 14
C) 5 : 7 : 5 D) 35 : 6 : 15
 
Answer & Explanation Answer: D) 35 : 6 : 15

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0 1860
Q:

If pq(p+q) = 1, then the value of 1p3q3-p3-q3 is equal to

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

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0 1860
Q:

If A = (-14 + 4) and B = 4 - 14, then AB = 

A) 0 B) -100
C) 100 D) -1
 
Answer & Explanation Answer: C) 100

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