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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:

What is the y – intercept of the linear equation 59x + 14y – 112 = 0?

A) 8 B) 14
C) 28 D) 59
 
Answer & Explanation Answer: A) 8

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Q:

Mr. Ankit is on tour to Siachin and he has Rs. 360 for his expenditure. If he exceeds his tour by 4 days, he must trim down his daily expenditure by Rs.3. Forhow many days is Mr. Ankit is on tour?

A) 20 B) 22
C) 24 D) 26
 
Answer & Explanation Answer: A) 20

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Q:

If one more cobbler is hired the output of a shoe making unit will increase from 50 pairs of shoes to 55 pairs per day, but then the shoe making unit will have to reduce the price of a pair of shoes from Rs 3200 to Rs 3000 per pair to sell the additional output, the marginal revenue product of the last cobbler is

A) Rs 1000 B) Rs 5000
C) Rs 4000 D) Rs 200
 
Answer & Explanation Answer: B) Rs 5000

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Q:

If sinθ+cosecθ=2, the value of sinnθ+cosecnθ is

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

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Q:

N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?

A) 8 B) 9
C) 7 D) 10
 
Answer & Explanation Answer: D) 10

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Q:

If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9), then what is the ratio between p and q respectively?

A) 1:9 B) 1:3
C) 3:1 D) 9:1
 
Answer & Explanation Answer: A) 1:9

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Q:

What is the value of ( 1/3 ­- cot60°) ?

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

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Q:

If 10x/3 + 5/2(2 - x/3) = 7/2, then the value of x is?

A) 3/5 B) -5/3
C) 5/3 D)  -3/5
 
Answer & Explanation Answer: D)  -3/5

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