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 0.55 x 4.5/0.81 ?

A) 3.555 B) 55/18
C) 3.05 D) 55/81
 
Answer & Explanation Answer: B) 55/18

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5 1878
Q:

If 3P/5 = 7Q/2 = 7R/5, then what is the ratio of p, Q and R respectively?

A) 3 : 2 : 5 B) 3 : 35 : 14
C) 5 : 7 : 5 D) 35 : 6 : 15
 
Answer & Explanation Answer: D) 35 : 6 : 15

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0 1872
Q:

The standard deviation of the set {10, 11, 9, 11, 9} is

A) 1/√5 B) 2/√5
C) 3/√5 D) 0
 
Answer & Explanation Answer: B) 2/√5

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10 1871
Q:

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? 499.99 + 1999 ÷ 39.99 × 50.01=?

A) 3200 B) 2700
C) 3000 D) 2500
 
Answer & Explanation Answer: C) 3000

Explanation:

500+2000÷40×50=?

?= 500+(2000÷40)×50

?= 500+50×50

?=500+2500

?=3000

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1 1868
Q:

If A = (-14 + 4) and B = 4 - 14, then AB = 

A) 0 B) -100
C) 100 D) -1
 
Answer & Explanation Answer: C) 100

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1 1866
Q:

If xy = 22 and x2+ y2= 100, then what will be the value of (x + y)?

A) 12 B) 144
C) 72 D) 6
 
Answer & Explanation Answer: A) 12

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5 1865
Q:

If ax= by= cz and b2= ac, then what is 1x+1z equal to ?

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

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0 1861
Q:

In the given figure, E and F are the centers of two identical circles. What is the ratio of area of triangle AOB to the area of triangle DOC?

A) 1 : 3 B) 1 : 9
C) 1 : 8 D) 1 : 4
 
Answer & Explanation Answer: B) 1 : 9

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0 1860