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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 cot(A/2) = x, then x is equal to

A) tanA/(1 + secA)	B) 1/(secA + cotA)
C) tanA/(1 + cosecA)	D) 1/(cosecA - cotA)

A) tanA/(1 + secA)

B) 1/(secA + cotA)

C) tanA/(1 + cosecA)

D) 1/(cosecA - cotA)

Answer & Explanation Answer: D) 1/(cosecA - cotA)

Explanation:

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0 1339

Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

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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2 1339

At what point does the line 2x + 5y = -6 cuts the X-axis?

A) (3, 0)	B) (0, 3)
C) (-3, 0)	D) (0, -3)

A) (3, 0)

B) (0, 3)

C) (-3, 0)

D) (0, -3)

Answer & Explanation Answer: C) (-3, 0)

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0 1339

If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?

A) 4/15	B) -15/4
C) -4/15	D) 15/4

A) 4/15

B) -15/4

C) -4/15

D) 15/4

Answer & Explanation Answer: D) 15/4

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0 1338

What is the value of $Sin 30 ° + 2 Cos 30 ° ?$

A) (2√2 + 3)/√6	B) (9 + 2√3)/9
C) (1 + 2√3)/2	D) (2√6 + 1)/√3

A) (2√2 + 3)/√6

B) (9 + 2√3)/9

C) (1 + 2√3)/2

D) (2√6 + 1)/√3

Answer & Explanation Answer: C) (1 + 2√3)/2

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0 1338

If $x^{2} + y^{2} + z^{2} - 8 x + 6 y - 4 z + 29 = 0$ , then find the value of z(x+y).

A) 1	B) 2
C) 3	D) 4

A) 1

B) 2

C) 3

D) 4

Answer & Explanation Answer: B) 2

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1 1336

If $x = {at}^{2}$ and y = 2at then

A) x2 = 4ay	B) y2 = 4ax
C) x2 + y 2 = a2	D) x 2 - y2 = a 2

A) x2 = 4ay

B) y2 = 4ax

C) x2 + y 2 = a2

D) x 2 - y2 = a 2

Answer & Explanation Answer: B) y2 = 4ax

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1 1336

Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?