19
Q:

Simplify the following :

373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ?

A) 100 B) 1
C) 4 D) 0

Answer:   A) 100



Explanation:

Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28

 

It is in the form of

 a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c

 

Here a = 37, b = 35 & c = 28 

 

=> a + b + c = 37 + 35 + 28 = 100

 

 

 

Therefore,   = 100

Subject: Simplification
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Q:

If sin x + cos x = √2 sin x, then the value of tan x is

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

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0 494
Q:

If  a3 + a - 1 = 0  then  find the value of  a6 + a4 + a - 2

 

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

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0 702
Q:

If sec θ + tan θ = 2, then sec θ - tan θ = ?

 

A) 0.5 B) 1.5
C) 1 D) 0.75
 
Answer & Explanation Answer: A) 0.5

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0 18999
Q:

If sinθ = 40/41, then cotθ is

 

A) 40/9 B) 9/40
C) 9/41 D) 41/9
 
Answer & Explanation Answer: B) 9/40

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0 16615
Q:

The expenses of a person increase by Rs. 50000 for every month in February and March. If his expenses in January was Rs. 50000, calculate his average expenditure (in Rs.) from January to March.

A) 100000 B) 150000
C) 75000 D) 50000
 
Answer & Explanation Answer: A) 100000

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0 529
Q:

If 19x2 = 1002 - 902, then find the value of x.

 

A) 10 B) 9
C) 11 D) 12
 
Answer & Explanation Answer: A) 10

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1 17359
Q:

What is the value of (cosec60 - 1/2) ?

 

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

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0 17488
Q:

If √21 = 4.58, then the simplified value of 837 - 373

 

A) 0.474 B) 0.752
C) 0.655 D) 1
 
Answer & Explanation Answer: C) 0.655

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