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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:

If 1/6 of x - 7/2 of 3/7 equals - 7/4, then the value of x is

A) -1.5 B) 3
C) -2.5 D) 6
 
Answer & Explanation Answer: A) -1.5

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Q:

If aq-r+br-p-cp-q, then find the value of (pa + qp + rc) is

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

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Q:

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

A) 60(√3+1) m B) 30(√3-1) m
C) 30(√3+1) m D) 60(√3-1) m
 
Answer & Explanation Answer: C) 30(√3+1) m

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Q:

ABC is a right angled triangle. ∠BAC = 90 deg and ∠ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

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

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Q:

The value of -261+(-380)-(-521)+821-(-121)

A) 833 B) 825
C) 822 D) 800
 
Answer & Explanation Answer: C) 822

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Q:

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre Oand radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord ABis 5 cm, then what is the value (in deg) of COD?

A) 90 B) 120
C) 150 D) 135
 
Answer & Explanation Answer: B) 120

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Q:

If 5x ­- 3(4 ­ x) < 4x -­ 4 < 4x + 2x/3; then the value of x is

A) -7 B) 3
C) 4 D) 1
 
Answer & Explanation Answer: D) 1

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Q:

In ΔDEF measure of angle E is 90 deg. If sinD = 15/17, and DE = 4cm, then what is the length (in cm) of side EF?

A) 8.5 B) 7.5
C) 5 D) 6
 
Answer & Explanation Answer: B) 7.5

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