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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:

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:

If tan θ + sec θ = (x – 2)/(x + 2), then what is the value of cos θ?

A) (x2 – 1)/(x2 + 1) B) (2x2 – 4)/(2x2 + 4)
C) (x2 – 4)/(x2 + 4) D) (x2 – 2)/(x2 + 2)
 
Answer & Explanation Answer: C) (x2 – 4)/(x2 + 4)

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Q:

Sumit and Amit undertook a work for Rs 7200. Sumit alone can do the work in 5 days and Amit alone can do the work in 4 days. If they work together,then what will be the difference (in Rs.) in the amount they receive?

A) 800 B) 1600
C) 1200 D) 1400
 
Answer & Explanation Answer: A) 800

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Q:

If 2x - 6 ≤ x - 3 and 1+3x < 4x + 4, then x can take which of the following values?

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

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Q:

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

A) 230.63 m/sec B) 230.93 m/sec
C) 235.85 m/sec D) 236.25 m/sec
 
Answer & Explanation Answer: B) 230.93 m/sec

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Q:

An equilateral triangle has sides of 10 cm each. Find the ratio of in-radius to the circum-radius of the triangle.

 

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

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Q:

A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area of the circle?

A) 308 sq cm B) 462 sq cm
C) 154 sq cm D) 616 sq cm
 
Answer & Explanation Answer: C) 154 sq cm

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Q:

In ΔABC measure of angle B is 90 deg. If tanA = 15/8, and AB = 0.8 cm, then what is the length (in cm) of side AC?

 

A) 1.7 B) 1.5
C) 2 D) 2.5
 
Answer & Explanation Answer: A) 1.7

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