6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $x^{2} + x = 19$ , then what is the value of ${(x + 5)}^{2} + [1 / {(x + 5)}^{2}]$ ?

A) 77	B) 79
C) 81	D) 83

Answer & Explanation Answer: B) 79

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Q:

The average age of a class of 39 students is 15 years. If the age of the teacher is included, then the average increases by 3 months. Find the age of the teacher.

A) 30	B) 25
C) 35	D) 40

Answer & Explanation Answer: B) 25

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Q:

The average of 19 consecutive even integers is 50. The highest of these integers is

A) 88	B) 68
C) 126	D) 100

Answer & Explanation Answer: B) 68

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Q:

If Cosec θ = 17/8, then Cot θ = ?

A) 17/8	B) 15/8
C) 8/15	D) 17/15

Answer & Explanation Answer: B) 15/8

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Q:

The circumference of a circle is 88 cm, find its area?

A) 616 sq cm	B) 308 sq cm
C) 154 sq cm	D) 77 sq cm

Answer & Explanation Answer: A) 616 sq cm

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Exam Prep: AIEEE , Bank Exams , CAT

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Q:

X and Y are the mid points of sides AB and AC of a triangle ABC. If BC+XY=12 units, then BC-XY is

A) 8 units	B) 4 units
C) 6 units	D) 2 units

Answer & Explanation Answer: B) 4 units

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Q:

If a--b = 4 and ab = 45, find the value of $a^{3} - b^{3}$

A) 604	B) 370
C) 253	D) 199

Answer & Explanation Answer: A) 604

Explanation:

${(a - b)}^{2} = a^{2} + b^{2} - 2 ab \Rightarrow 16 = a^{2} + b^{2} - 90 \Rightarrow a^{2} + b^{2} = 106 a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + ab) \Rightarrow a^{3} - b^{3} = 4 X (106 + 45) \Rightarrow a^{3} - b^{3} = 4 X 151 \Rightarrow a^{3} - b^{3} = 604$

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Q:

By increasing the price of entry ticket to a fair in the ratio 11:16, the number of visitors to the fair has decreased in the ratio 19:9. In what ratio has the total collection increased or decreased?

A) decreased in the ratio 209:144	B) increased in the ratio 144:209
C) increased in the ratio 99:304	D) decreased in the ratio 304:99

Quantitative Aptitude - Arithmetic Ability Questions

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