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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:

Point Q(-2,b) is the midpoint of segment EF. Co-ordinates of E are (-7,-6) and F are (a,0). What is the value of a and b?

A) a = 3; b = -3 B) a = -3; b = -3
C) a = 3; b = 3 D) a = -3; b = 3
 
Answer & Explanation Answer: A) a = 3; b = -3

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Q:

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

A) √[(1 + sinA)/(1 ­- sinA)] B) √[(1­-sinA)/(1+sinA)]
C) (1-­sinA)/(1+sinA) D) (1 + sinA)/(1 -­ sinA)
 
Answer & Explanation Answer: B) √[(1­-sinA)/(1+sinA)]

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Q:

You have 20 big and 16 small diaries and want to make gift packs containing both in each pack. What is the maximum number of gift packs you can make without any left over?

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

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Q:

If sum of the roots of a quadratic equation is ­-7 and product of the roots is 12. Find the quadratic equation.

A) x2 + 7x + 12 = 0 B) x2 -­ 7x + 12 = 0
C) x2 -­ 7x -­ 12 = 0 D) x2 + 7x -­ 12 = 0
 
Answer & Explanation Answer: A) x2 + 7x + 12 = 0

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Q:

In a triangle PQR, ∠Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?

A) 5 B) 6
C) 6.5 D) 6√2
 
Answer & Explanation Answer: C) 6.5

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Q:

If the value of √42 is approximately 6.480, then what is the approximate value of √(6/7)?

A) 0.925 B) 0.935
C) 0.945 D) 0.955
 
Answer & Explanation Answer: A) 0.925

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Q:

What is the value of 1.23+0.83+0.73-2.0161.351.22+0.82+0.72-0.96-0.84-0.56 =

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

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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)?(55.01+16.0003)×22.01÷10.998 =?

A) 190 B) 130
C) 110 D) 142
 
Answer & Explanation Answer: D) 142

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