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 secA - tanA = x, then the value of x is

A) 1/(sec2A - tan2A) B) 1/(sec2A + tan2A)
C) 1/√[(sec2A - tan2A)] D) 1/(secA + tanA)
 
Answer & Explanation Answer: D) 1/(secA + tanA)

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1 2074
Q:

What is the value of 3.6×1.62+0.48×3.61.8×0.8+10.8×0.3-2.16 ?

A) 2.4 B) 2
C) 4 D) 3
 
Answer & Explanation Answer: D) 3

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1 2068
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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0 2048
Q:

If tan2A - sin2A = x, then value of x is

A) tan2A sin2A B) cot2A cosec2A
C) tanA sinA D) cotA cosecA
 
Answer & Explanation Answer: A) tan2A sin2A

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0 2027
Q:

If x4 + (1/x4) = 34, then what is the value of x3  (1/x3)?

A) 0 B) 6
C) 8 D) 14
 
Answer & Explanation Answer: D) 14

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0 2008
Q:

If price of oranges is increased by 30%, then a person can buy 12 oranges less for Rs 208. What is the original price (in Rs) of an orange?

A) 2 B) 4
C) 8 D) 3
 
Answer & Explanation Answer: B) 4

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7 2008
Q:

If m ­ n = 2 , mn = 15 , (m , n > 0) then the value of m2-n2m3-n3

A) 1856 B) 1658
C) 1586 D) 1568
 
Answer & Explanation Answer: D) 1568

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2 1998
Q:

If Sin θ = 20/29, then what is the value of Cos θ?

A) 29/21 B) 21/29
C) 21/20 D) 20/29
 
Answer & Explanation Answer: B) 21/29

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2 1989