6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm	B) 15 cm
C) 20 cm	D) 30 cm

Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

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Q:

If $3 \sin θ + 4 \cos θ = 5 (0 < θ < 90 °)$ then the value of $\sin θ$ is

A) 1/5	B) 2/5
C) 3/5	D) 4/5

Answer & Explanation Answer: C) 3/5

Explanation:

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Q:

Volume of a cylinder is 770 cubic cm. If circumference of its base is 22 cm, what will be the curved surface area of the cylinder? (Take π = 22/7)

A) 440 sq cms	B) 880 sq cms
C) 220 sq cms	D) 660 sq cms

Answer & Explanation Answer: A) 440 sq cms

Explanation:

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Filed Under: Volume and Surface Area
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Q:

The sum of the ages of husband and wife at present is 100. Ten years ago the ratio of their ages was 9:7. What is the age of the husband?

A) 45 years	B) 55 years
C) 65 years	D) 40 years

Answer & Explanation Answer: B) 55 years

Explanation:

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Q:

If A has got 20% more marks than B, then by what percent marks of B are less than the marks of A?

A) 16.66	B) 20
C) 33.33	D) 14.28

Answer & Explanation Answer: A) 16.66

Explanation:

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Q:

Monthly salaries of Pia and Som are in the respective ratio of 5: 4. Pia, from her monthly salary, gives th to her mother. 15% towards her sister’s tuition fees, 18% towards a loan and she shops with the remaining amount which was Rs. 2,100. What is the monthly salary of Som ?

A) Rs.25,000	B) Rs.30,000
C) Rs.15,000	D) Rs.20,000

Answer & Explanation Answer:

Explanation:

Let monthly salary of Pia = Rs.500x => Monthly salary of Som = Rs.400x Amount given by Pia to her mother = 3/5 * 500x = 300x Amount for her sister tuition fees = 15*500x/100 = 75x Amount for loan = 18*500x/100 = 90x => Amount left = 500x −(300x +75x +90x) = 2100 => 500x - 465x = 35x = 2100 => x = 2100/35 = 60 Therefore, Som's salary = 400 x 60 = Rs. 24,000

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Filed Under: Ratios and Proportions

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Q:

An investor invested his saving in the stock market. The value of his investments increased by 12% and 9% in the first year and the second year respectively. If the value of his investments after two years became Rs 97,664 then how much had he invested (in Rs)?

A) 81000	B) 75000
C) 80000	D) 72000

Answer & Explanation Answer: C) 80000

Explanation:

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Q:

The marked price of a pencil is 35% more than its cost price. What maximum discount percentage can be offered by the shopkeeper to sell his pencil at no profit or no loss?

A) 34.24	B) 44.44
C) 25.92	D) 18.18

Quantitative Aptitude - Arithmetic Ability Questions

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