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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:

Simplify 50 + 18 - 8

A) 8√2 B) 7√2
C) 6√2 D) 5√2
 
Answer & Explanation Answer: C) 6√2

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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:

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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Q:

If one of the zeros of the quadratic polynomial (k - 1)x2 + kx + 1 is -3 then the value of k = ?

 

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

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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:

If A + B = 90 deg and Cos B = 1/3, then the value of Sin A is

A) 1/2 B) 1/4
C) 1/3 D) 2/3
 
Answer & Explanation Answer: C) 1/3

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Q:

The cost of 15 kg of groundnuts and 4 kg of cashews is Rs.7,000. The cost of 10 kg of cashews is equal to 25 kg of groundnuts. Find the cost of groundnut per kg.

A) Rs.320 B) Rs.700
C) Rs.540 D) Rs.280
 
Answer & Explanation Answer: D) Rs.280

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