6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The fraction from the ones listed below that will NOT lead to a recurring decimal is

A) 8/56	B) 6/56
C) 4/56	D) 7/56

Answer & Explanation Answer: D) 7/56

Explanation:

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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

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Q:

In a class of 50 students there are 27 girls. The average weight of these girls is 45 kg and average weight of the full class is 49.6 kgs. What is the average weight of the boys of the class?

A) 55	B) 54.2
C) 53.4	D) 53

Answer & Explanation Answer: A) 55

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Filed Under: Average
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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 sphere to that of cone?

A) 6√3:1	B) 7 : 2
C) 3√3:1	D) 5√3:1

Answer & Explanation Answer: A) 6√3:1

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)

Volume of sphere/volume of cone =

\frac{\frac{4}{3} {πr}_{1}^{3}}{\frac{1}{3} {πr}_{2}^{2} h}

= 6√3:1

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

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Q:

If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

A) 37°	B) 41°
C) 42°	D) 49°

Answer & Explanation Answer: B) 41°

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Filed Under: Volume and Surface Area
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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:

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

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

Answer & Explanation Answer: B) PR

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Filed Under: Odd Man Out
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Q:

Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .

A) 5/9	B) 1/35
C) 45/7	D) 7/45

Answer & Explanation Answer: B) 1/35

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Filed Under: Ratios and Proportions
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Q:

If tanA + tanB = X, then the value of X is

A) (tanA - tanB)/(1 + tanAtanB)	B) (tanA + tanB)/(1 - tanAtanB)
C) (tanA + tanB)/(1 + tanAtanB)	D) (tanA - tanB)/(1 - tanAtanB)

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