6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:1 and length of QR is 15 cm,what is the length of ST?

A) 3 cm	B) 5 cm
C) 12 cm	D) 10 cm

Answer & Explanation Answer: C) 12 cm

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the cube to that of the cylinder ?

A) 4 : 3	B) 21 : 16
C) 14 : 11	D) 45 : 32

Answer & Explanation Answer: C) 14 : 11

Explanation:

The top view of the given assembly will look like the figure above

Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.

Here side of cube = a

Diameter of Sphere = body diagnol = √3 a

Radius of sphere = √3 a/2 =r1

Height of Cylinder = Height of cone = side of cube = a =h

Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)

\frac{Vcube}{Vcylinder} = \frac{a^{3}}{{πr}_{2}^{2} h} = 14 / 11

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

The difference between Peter and Preeti's ages is 5 years. When they married each other 35 years ago, 4 times Peter's age was the same as 5 times the age of Preeti. What is the current sum of their ages?

A) 105 years	B) 110 years
C) 115 years	D) 112 years

Answer & Explanation Answer: C) 115 years

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

If $x^{2} + \frac{1}{x^{2}} - 6$ , then find the value of $\frac{2 x (x - 1)}{x^{3} - x^{2} - x + 1}$

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

The least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case, but when divided by 9 leaves no remainder, is:

A) 1677	B) 1683
C) 2523	D) 3363

Answer & Explanation Answer: B) 1683

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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Q:

A thief is stopped by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed
of the thief as 8 km/hr and that of police man as 10 km/hr. How far the thief would have run, before he is over taken?

A) 640 metres	B) 800 metres
C) 960 metres	D) 480 metres

Answer & Explanation Answer: B) 800 metres

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Which of the following triangle has the maximum area when inscribed inside the circle of same radius?

A) Scalene	B) Isosceles
C) Equilateral	D) Right angled

Answer & Explanation Answer: C) Equilateral

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

In the following question, select the odd letters from the given alternatives.

A) CD	B) PR
C) ST	D) WX

Quantitative Aptitude - Arithmetic Ability Questions

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