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:

Two labourers A and B are paid a total of Rs. 1120 per day. If A is paid 180 percent of what is paid to B, how much (in Rs) is B paid?

A) 400 B) 720
C) 500 D) 620
 
Answer & Explanation Answer: A) 400

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0 1379
Q:

If a = 1/a-5, then the value of a + 1/a = ?

A) √29 B) √-29
C) - √29 D) √27
 
Answer & Explanation Answer: A) √29

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0 1378
Q:

The distance between the points (2, 7) and (k, -5) is 13. What is the value of k?

A) -7 B) 7
C) 6 D) -6
 
Answer & Explanation Answer: B) 7

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0 1376
Q:

If x = 1 – y and x2 = 2  y2, then what is the value of xy?

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

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Q:

When x2+ax+b is divided by (x-1), the remainder is 15 and when x2+bx+a is divided by (x+1), the remainder is -1, then the value of a2+b2 is

A) 10 B) 20
C) 8 D) 16
 
Answer & Explanation Answer: A) 10

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0 1374
Q:

What is the value of [tan2 (90  θ)  sin2 (90  θ)] cosec2 (90  θ) cot2 (90  θ)?

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

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0 1373
Q:

If cos ­-11π/6 = x, then the value of x is

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

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Q:

If Sec θ = 5/3, then what is the value of Cosec θ?

A) 0.8 B) 1.25
C) 4/3 D) 3/4
 
Answer & Explanation Answer: B) 1.25

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0 1372