6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

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

A) HFD	B) SQO
C) ZXV	D) BZU

Answer & Explanation Answer: D) BZU

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots $α^{4} and β^{4}$ ?

A) x2 – 1522x + 14641 = 0	B) x2 + 1921x + 14641 = 0
C) x2– 1764x + 14641 = 0	D) x2+ 2520x + 14641 = 0

Answer & Explanation Answer: A) x2 – 1522x + 14641 = 0

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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 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:

Working together P, Q and R reap a field in 6 days. If P can do it alone in 10 days and Q in 24 days, in how many days will R alone be able to reap the field?

A) 32 days	B) 40 days
C) 45 days	D) 60 days

Answer & Explanation Answer: B) 40 days

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams , CAT

1 1432

Q:

A factory buys 10 machines. 1 MachineA, 4 MachineB and rest MachineC. Prices of the machines are Rs 90000, Rs 40000 and Rs 40000 respectively. Calculate the average cost of these machines?

A) 56666.6	B) 68333.3
C) 45000	D) 43500

Answer & Explanation Answer: C) 45000

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

The average weight of P, Q and R is 71 kg. If the average weight of P and Q be 66 kg and that of Q and R be 76.5 kg, then the weight (in kg) of Q is.

A) 60	B) 72
C) 81	D) 75

Answer & Explanation Answer: B) 72

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If $y = 2 s e c θ a n d x = 3 \tan θ t h e n \frac{x^{2}}{9} - \frac{y^{2}}{4}$ is

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

Answer & Explanation Answer: B) -1

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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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

Quantitative Aptitude - Arithmetic Ability Questions

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