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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 x + (1/x) = 2, then what is the value of x21 + (1/x1331)?

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

Explanation:
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Q:

Two labourers A and B are paid a total of Rs. 1120 per day. If A is paid 180 percent of what is paid to B, how much (in Rs) is B paid?

A) 400 B) 720
C) 500 D) 620
 
Answer & Explanation Answer: A) 400

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Q:

If 3sinθ+4cosθ=5 (0<θ<90°) then the value of sinθ is

A) 1/5 B) 2/5
C) 3/5 D) 4/5
 
Answer & Explanation Answer: C) 3/5

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Q:

If (x2/yz) + (y2/zx) + (z2/xy) = 3, then what is the value of (x + y + z)3?

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

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Q:

Shaan got a total of Rs. 912 in the denomination of equal numbers of Rs. 1, Rs. 5 and Rs. 10 coins. How many coins do Shaan posses?

A) 16 B) 57
C) 171 D) 323
 
Answer & Explanation Answer: C) 171

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Q:

Mayur can complete a work in 27 hours. If he is joined by Jayantika who is 100% more efficient, in what time will they together finish the work?

A) 6 hours B) 3 hours
C) 9 hours D) 10 hours
 
Answer & Explanation Answer: C) 9 hours

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Q:

AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm , then the length of BC is

A) 10 cm B) 14 cm
C) 5 cm D) 7 cm
 
Answer & Explanation Answer: A) 10 cm

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Q:

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

(184.002 - 29 ÷ 5) × 29.997 = ?

A) 5140 B) 5240
C) 5340 D) 5440
 
Answer & Explanation Answer: C) 5340

Explanation:

Ans.
(184 - 6) × 30 = ?
178 × 30 = ?
? = 5340

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