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Quantitative Aptitude - Arithmetic Ability/
Simplification

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| = $\{\begin{cases} a & i f a > 0 \\ - a & i f a < 0 \end{cases}$

2. Virnaculum (or bar) : When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum.

If $9 x^{2} + 16 y^{2} = 60$ and 3x + 4y = 6, then the value of xy is

A) -1	B) 1
C) -2	D) 2

A) -1

B) 1

C) -2

D) 2

Answer & Explanation Answer: A) -1

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0 1241

If SinX-CosX=1, where 'X' is an acute angle, the value of SinX+CosX is

A) 0	B) 1
C) 1/2	D) 2

A) 0

B) 1

C) 1/2

D) 2

Answer & Explanation Answer: B) 1

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0 1241

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?(55.01+16.0003)×22.01÷10.998 =?

A) 190	B) 130
C) 110	D) 142

A) 190

B) 130

C) 110

D) 142

Answer & Explanation Answer: D) 142

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0 1239

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

A) -7	B) 3
C) 4	D) 1

A) -7

B) 3

C) 4

D) 1

Answer & Explanation Answer: D) 1

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2 1239

If u : v = v : w, then what is the value of $u^{4} : v^{4}$ ?

A) u2 : wv	B) u2 : w2
C) u2 v : w3	D) u : w

A) u2 : wv

B) u2 : w2

C) u2 v : w3

D) u : w

Answer & Explanation Answer: B) u2 : w2

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0 1239

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

A) 5

B) 4

C) 3

D) 2

Answer & Explanation Answer: B) 4

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6 1239

If 2x - 3(2x - 2) > x - 1 < 2 + 2x; then x can take which of the following values?

A) 2	B) -2
C) 4	D) -4

A) 2

B) -2

C) 4

D) -4

Answer & Explanation Answer: B) -2

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0 1239

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