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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:

A triangular prism has 9 edges. How many vertices does it have?

A) 8 B) 6
C) 12 D) 10
 
Answer & Explanation Answer: B) 6

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Q:

Simplify 0.1x0.1x0.1 + 0.3x0.3x0.30.3x0.3 - 0.3x0.1 + 0.1x0.1

A) 0.09 B) 0.03
C) 0.05 D) 0.04
 
Answer & Explanation Answer: D) 0.04

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Q:

If a + b = 10 and ab = 21, then the value of (a - b)2 is

A) 15 B) 16
C) 17 D) 18
 
Answer & Explanation Answer: B) 16

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Q:

A ship is full of cargo containers. It drops 2/3 of cargo containers at the first port and takes 60 more, at the second port it drops two third of the new total and takes eleven more. On arriving at the third port it is found that it have 48 cargo containers. Find the number of cargo containers in the ship at the starting?

A) 189 B) 159
C) 161 D) 153
 
Answer & Explanation Answer: D) 153

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Q:

What is the value of sin (90° + 2A)[4 – cos2(90° – 2A)]?

A) 2(cos3 A – sin3 A) B) 2(cos3 A + sin3 A)
C) 4(cos6 A+ sin6 A) D) 4(cos6 A – sin6 A)
 
Answer & Explanation Answer: D) 4(cos6 A – sin6 A)

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Q:

The first and last terms of an arithmetic progression are 37 and ­18. If the sum of the series is 114, then it has how many terms?

A) 13 B) 12
C) 14 D) 15
 
Answer & Explanation Answer: B) 12

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Q:

If x+1x=5, then 6xx2+x+1 value is

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

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Q:

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

A) 45 B) 35
C) 55 D) 65
 
Answer & Explanation Answer: C) 55

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