Simplification Questions

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:

Direction: What will come in place of the question mark (?) in the following question?

504÷42x7-63+28 = ?

A) 72 B) 48
C) 62 D) 38
 
Answer & Explanation Answer:

Explanation:

504/42 × 7 - 63 + 28 = 84 – 63 + 28 = 49

Hence option 5 is correct.

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Q:

If Tan A = 15/8 and Tan B = 7/24, then Cos (A + B) = ?

 

A) 87/425 B) 304/425
C) 297/425 D) 416/425
 
Answer & Explanation Answer: A) 87/425

Explanation:
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Q:

If p = 72-72-72-72-....., then find the value of 2p2+1?

 

A) -129 B) -163
C) 129 D) 163
 
Answer & Explanation Answer: C) 129

Explanation:
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Q:

Solve the following

 

24/(19 - 9 / 3 x 9) = ?

A) -3 B) -4
C) 3 D) 6
 
Answer & Explanation Answer: A) -3

Explanation:
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1 47518
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

Explanation:
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0 47423
Q:

ΔXYZ is right angled at Y. If m∠Z = 30°, then find the value of (sinX - 3/√2).

 

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

Explanation:
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0 47385
Q:

Given w = -2, x = 3, y = 0 & z = -1/2. Find the value of 2(w2 + x2 + y2).

 

A) 26 B) -26
C) 25 D) 28
 
Answer & Explanation Answer: A) 26

Explanation:
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Q:

45 - [38 - {80 / 4 - (8 - 12 / 3) / 4}] = ?

 

A) 25 B) 27
C) 26 D) 28
 
Answer & Explanation Answer: C) 26

Explanation:
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