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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.

Find the value of $y (y^{4} - y^{2} - y)$ when y = 5.

A) 2900	B) 2975
C) 2925	D) 2995

A) 2900

B) 2975

C) 2925

D) 2995

Answer & Explanation Answer: B) 2975

Explanation:

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1 453

In ΔABC measure of angle B is 90 deg. If tanA = 15/8, and AB = 0.8 cm, then what is the length (in cm) of side AC?

A) 1.7	B) 1.5
C) 2	D) 2.5

A) 1.7

B) 1.5

C) 2

D) 2.5

Answer & Explanation Answer: A) 1.7

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0 452

The pair of linear equations 3x + y = 1 and px + 2y = 5 has no finite solution if

A) p>=6	B) p = 6
C) 0 < p < 6	D) p = 0

A) p>=6

B) p = 6

C) 0 < p < 6

D) p = 0

Answer & Explanation Answer: B) p = 6

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1 451

If M = (3/7) ÷ (6/5) × (2/3) + (1/5) × (3/2) and N = (2/5) × (5/6) ÷ (1/3) + (3/5) × (2/3) ÷ (3/5), then what is the value of M/N?

A) 207/560	B) 339/1120
C) 113/350	D) 69/175

A) 207/560

B) 339/1120

C) 113/350

D) 69/175

Answer & Explanation Answer: C) 113/350

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0 451

If $2 \sec^{2} x - \tan^{2} x = 5 and 0 ° \leq x \leq 90 °$ , then x = ?

A) 60°	B) 90°
C) 30°	D) 45°

A) 60°

B) 90°

C) 30°

D) 45°

Answer & Explanation Answer: A) 60°

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0 450

A bag contains coins of denominations Rs.1, Rs.5 and Rs.10. Assuming there are equal number of Rs.1, Rs.5 and Rs.10, what will be the total number of coins in the bag be if the total money is Rs. 368?