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:

What is the value of sin6θ + cos6θ + 3 sin2θ cos2θ 1?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: A) 0

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0 1404
Q:

If (x2/yz) + (y2/zx) + (z2/xy) = 3, then what is the value of (x + y + z)3?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: A) 0

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0 1403
Q:

What is the simplified value of 1-sin A1+sin A ?

A) tan A B) sec A
C) sec A + tan A D) sec A – tan A
 
Answer & Explanation Answer: D) sec A – tan A

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0 1403
Q:

AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm , then the length of BC is

A) 10 cm B) 14 cm
C) 5 cm D) 7 cm
 
Answer & Explanation Answer: A) 10 cm

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0 1402
Q:

Find the value of 200 x 20 x 2 x 0.2 x 0.02 x 0.002 = ?

A) 0.064 B) 0.64
C) 64 D) 640
 
Answer & Explanation Answer: A) 0.064

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0 1402
Q:

The sum of two numbers is 7 and the sum their squares is 23, their product is equal to:

A) 10 B) 11
C) 12 D) 13
 
Answer & Explanation Answer: D) 13

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0 1399
Q:

What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)

21.003 × 39.998 –209.91 = 126× ?

A) 5 B) 4
C) 3 D) 2
 
Answer & Explanation Answer: A) 5

Explanation:

Take nearest values21.003 × 39.998 –209.91 = 126× ?630 = 126× ?? = 5 (approx)

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Q:

Calculate the value of 61681 x 61681 - 31681 x 3168130000?

A) 93352 B) 94362
C) 93362 D) 95362
 
Answer & Explanation Answer: C) 93362

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0 1399