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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 P = 22 + 62 + 102 + 142 + ... 942 and Q = 12 + 52 + 92 + ... 812, then what is the value of P – Q?

A) 24645 B) 26075
C) 29317 D) 31515
 
Answer & Explanation Answer: B) 26075

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Q:

Which of the following conditions is TRUE for the two line segments AB and CD to be congruent?

A) AB=CD B) AB>CD
C) AB<CD D) None of these
 
Answer & Explanation Answer: A) AB=CD

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Q:

If Cos θ = 35/37 , then what is the value of Cot θ?

A) 12/35 B) 35/12
C) 37/12 D) 12/37
 
Answer & Explanation Answer: B) 35/12

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Q:

Common factor of 12a4b6, 18a6c2, 36a2b2 is

A) 36a2 B) 108b2
C) 6a2b2 D) 6a2
 
Answer & Explanation Answer: D) 6a2

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Q:

In the first 10 overs of a cricket game, the run rate was only 3.2. The run rate in the remaining 40 overs to reach the target of 282 runs is

A) 6.4 B) 6.3
C) 6.25 D) 6.5
 
Answer & Explanation Answer: C) 6.25

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Q:

If a sum of money deposited in a bank at simple interest is doubled in 6 years, then after 12 years, the amount will be

A) 5/2times the original amount B) 3times the original amount
C) 7/2times the original amount D) 4times the original amount
 
Answer & Explanation Answer: B) 3times the original amount

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Q:

In a farm, in addition to 48 hens there are 42 sheep and 11 oxen with some shepherds. If the total number of feet be 224 more than the number of heads, find the number of shepherd.

A) 11 B) 13
C) 15 D) 17
 
Answer & Explanation Answer: D) 17

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Q:

The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 12 sq cm, what is the area of the equilateral triangle?

A) 12√3 sq cm B) 6√3 sq cm
C) 12√2 sq cm D) 24 sq cm
 
Answer & Explanation Answer: B) 6√3 sq cm

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