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:

What is the reflection of the point (4, 7) in the line y = -1?

A) (-6 , 7) B) (-4 , -9)
C) (4 , -9) D) (-6 , -7)
 
Answer & Explanation Answer: C) (4 , -9)

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Q:

Find the value of 1006×994?

A) 999932   B) 999964
C) 1000032 D) 1000064
 
Answer & Explanation Answer: B) 999964

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Q:

If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz  x2  y2  z2?

A) – 4 B) 2
C)  – 1 D) – 6
 
Answer & Explanation Answer: A) – 4

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Q:

If the difference between the roots of the equation Ax2  Bx + C = 0 is 4, then which of the following is TRUE?

A) B2 – 16A2 = 4AC + 4B2 B) B2 – 10A2 = 4AC + 6A2
C) B2 – 8A2 = 4AC + 10A2 D) B2 – 16A2 = 4AC + 8B2
 
Answer & Explanation Answer: B) B2 – 10A2 = 4AC + 6A2

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Q:

If 9x = 24311, then what is the value of x?

A) 5/11 B) 5/22
C) 5/7 D) 5/33
 
Answer & Explanation Answer: B) 5/22

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Q:

If  a3 + a - 1 = 0  then  find the value of  a6 + a4 + a - 2

 

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

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Q:

A box contain equal number of 1 rupee, 2 rupee and 5 rupee coins. If the total amount is Rs 184, then how many coins of each type are there?

 

A) 18 B) 26
C) 25 D) 23
 
Answer & Explanation Answer: D) 23

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Q:

Geetha weighs 11.235 kg. Her sister weighs 1.4 times her weight. Find their combined weight?

A) 15.729 kg B) 25.964 kg
C) 26.964 kg D) 26.946 kg
 
Answer & Explanation Answer: C) 26.964 kg

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