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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:

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:

The area of the circle with radius Y is W. The difference between the areas of the bigger circle (with radius Y) and that of the smaller circle (with radius X) is W'. So x/y is equal to

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

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Q:

If a and b are the roots of the equation Px2 – Qx + R = 0, then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a)?

A) Q2-2P2R+PPR2 B) Q2-2PRR+PPR2
C) Q2-2R2P+RP2R2 D) Q2-2PR2R+2PP2R2
 
Answer & Explanation Answer: B) Q2-2PRR+PPR2

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Q:

If 9x2 + 16y2 = 60 and 3x + 4y = 6, then the value of xy is

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

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Q:

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

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

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Q:

You have 20 big and 16 small diaries and want to make gift packs containing both in each pack. What is the maximum number of gift packs you can make without any left over?

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

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Q:

If x2 – 16x – 59 = 0, then what is the value of (x – 6)2 + [1/(x – 6)2]?

A) 14 B) 18
C) 16 D) 20
 
Answer & Explanation Answer: B) 18

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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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