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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:

The cost of one dozen bananas is Rs.5. The cost of one dozen oranges is Rs.75. What will the cost of one and a quarter dozen bananas and three-fourth dozen oranges?

A) Rs. 109.25 B) Rs. 87.25
C) Rs. 71.75 D) Rs. 62.50
 
Answer & Explanation Answer: D) Rs. 62.50

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Q:

Find the value of  y(y4 - y2 - y) when y = 5.

A) 2900 B) 2975
C) 2925 D) 2995
 
Answer & Explanation Answer: B) 2975

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1 1382
Q:

Δ XYZ is right angled at Y. If m∠Z = 60°, then what is the value of (1/√2) Sec X?

A) 2/√3 B) 1/√6
C) 1/√3 D) 2/√6
 
Answer & Explanation Answer: D) 2/√6

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0 1382
Q:

If x2 + ax + b, when divided by x - 4, leaves a remainder of 32 and x2 + bx +a, when divided by x - 4, leaves a remainder of 35, then a + b = ?

 

A) -7 B) 23
C) 7   D) -23
 
Answer & Explanation Answer: D) -23

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0 1381
Q:

If 4x + 5y = 14 and x - 5y = 16 then the value of x and y are

A) 10 and -6/5 B) 6 and 2
C) 10 and 6/5 D) 6 and -2
 
Answer & Explanation Answer: D) 6 and -2

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0 1380
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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Q:

Divya and Kriti have total 46 candies. If Divya has 10 candies more than kriti, then find the total number of candies Divya have?

A) 20 B) 24
C) 28 D) 32
 
Answer & Explanation Answer: C) 28

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0 1380
Q:

Point P is the midpoint of seg AB. Co­-ordinates of P are (­-1,1) and A are (4,3). What are the co-­ordinates of point B?

A) (6, 1) B) (-­6, ­1)
C) (6, ­-1) D) (­-6, -1)
 
Answer & Explanation Answer: D) (­-6, -1)

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