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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 value of ( 1/3 - cosec30°) ?

A) (√6-1)/√3 B) -1/2
C) -5/3 D) 3/2
 
Answer & Explanation Answer: C) -5/3

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0 921
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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1 919
Q:

The two lines 4x+3y=0 and 7x+5y=0 will ______ in their graphical representation.

A) be parallel to each other B) intersect each other at one point only
C) intersect each other at three points only D) coincide each other
 
Answer & Explanation Answer: B) intersect each other at one point only

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0 916
Q:

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

A) 230.63 m/sec B) 230.93 m/sec
C) 235.85 m/sec D) 236.25 m/sec
 
Answer & Explanation Answer: B) 230.93 m/sec

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0 910
Q:

Simplify (2/7 + 3/5) / (2/5 + 2/7)

A) 31/24 B) 24/31
C) 26/25 D) 12/13
 
Answer & Explanation Answer: A) 31/24

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0 906
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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0 904
Q:

If n + n2 + n4 + n8 = 45, then find the value of 'n' which will satisfy the equation.

 

 

A) 16 B) 24
C) 36 D) 48
 
Answer & Explanation Answer: B) 24

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0 903
Q:

The value of k, for which the quadratic equation 4x2 + 4√3x + k = 0 has equal roots is

 

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

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