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:

Coefficient of x in (x + 11)(3 -­ 5x) is _____.

A) 33 B) -5
C) 3 D) -52
 
Answer & Explanation Answer: D) -52

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Q:

If the difference between the roots of the equation Ax2  Bx + C = 0 is 4, then which of the following is TRUE?

A) B2 – 16A2 = 4AC + 4B2 B) B2 – 10A2 = 4AC + 6A2
C) B2 – 8A2 = 4AC + 10A2 D) B2 – 16A2 = 4AC + 8B2
 
Answer & Explanation Answer: B) B2 – 10A2 = 4AC + 6A2

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Q:

If sin = 2/3, find the value of secθ and cotθ

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

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Q:

A box contain equal number of 1 rupee, 2 rupee and 5 rupee coins. If the total amount is Rs 184, then how many coins of each type are there?

 

A) 18 B) 26
C) 25 D) 23
 
Answer & Explanation Answer: D) 23

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Q:

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

A) 230.63 m/sec B) 230.93 m/sec
C) 235.85 m/sec D) 236.25 m/sec
 
Answer & Explanation Answer: B) 230.93 m/sec

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Q:

Compute : 28854 / 458 / 9

A) 70 B) 567
C) 7 D) 576
 
Answer & Explanation Answer: C) 7

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Q:

If x = 5 + 15 - 1 & y = 5 - 15 + 1 , then find the value of x2 - y2.

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

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Q:

Sumit and Amit undertook a work for Rs 7200. Sumit alone can do the work in 5 days and Amit alone can do the work in 4 days. If they work together,then what will be the difference (in Rs.) in the amount they receive?

A) 800 B) 1600
C) 1200 D) 1400
 
Answer & Explanation Answer: A) 800

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