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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:

There are 90 coins, comprising of 5 and 10 paisa coins. The value of all the coins is Rs. 7. How many 5 paisa coins are there?

A) 50 B) 45
C) 40 D) 35
 
Answer & Explanation Answer: C) 40

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Q:

If x2 + (1/x2) = 1, then what is the value of x48 + x42 + x36 + x30 + x24 + x18 + x12 + x6 + 1?

A) -9 B) 0
C) 1 D) 9
 
Answer & Explanation Answer: C) 1

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Q:

The length of a median of an equilateral triangle is 12√3 cms. Then the area of the triangle is

A) 144 sq. cms B) 288√3 sq. cms
C) 144√3 sq. cms D) 288sq.cms
 
Answer & Explanation Answer: C) 144√3 sq. cms

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Q:

Calculate the value of 0.77777 + 0.7777 + 0.777 + 0.77 + 0.7 + 0.07.

A) 3.86274 B) 3.80247
C) 3.85274 D) 3.87247
 
Answer & Explanation Answer: D) 3.87247

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Q:

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? √580×∛510+ 49.999 x 3.999=?

A) 384 B) 392
C) 410 D) 372
 
Answer & Explanation Answer: B) 392

Explanation:

Take nearest values
√580×∛510+ 49.999 x 3.999=?
24x 8 + 200 = 392

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Q:

What is the simplified value of Sec ACot A + Tan A2 ?

A) 1 – cos2A B) 2sin2A
C) sec2A D) 0
 
Answer & Explanation Answer: A) 1 – cos2A

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Q:

An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was

A) 1500000 B) 1000000
C) 1200000 D) 1100000
 
Answer & Explanation Answer: B) 1000000

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Q:

If a-b=1 and a3-b3 = 61, then the value of ab will be

A) -20 B) 20
C) 30 D) 60
 
Answer & Explanation Answer: B) 20

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