6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I: All bins are baskets

Statement II: No buckets are bins

Conclusion I: All baskets are buckets

Conclusion II: All buckets are baskets

A) Only conclusion I follows	B) Only conclusion II follows
C) Both conclusions I and II follow	D) Neither conclusion I nor conclusion II follows

Answer & Explanation Answer: D) Neither conclusion I nor conclusion II follows

Explanation:

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

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Q:

ΔXYZ is similar to ΔPQR. If ratio of Perimeter of ΔXYZ and Perimeter of ΔPQR is 16:9 and PQ = 3.6 cm, then what is the length(in cm) of XY?

A) 4.8	B) 3.2
C) 6.4	D) 8.6

Answer & Explanation Answer: C) 6.4

Explanation:

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

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Q:

A car can cover 350 km in 4 hrs. If its speed is decreased by 12.5 kmph. How much time does the car take to cover a distance of 450 kms.

A) 6 hrs	B) 5 hrs
C) 4 hrs	D) 7 hrs

Answer & Explanation Answer: A) 6 hrs

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Karteek is twice as good a foreman as Raju and together they finish a piece of work in 20 days. In how many days will Raju alone finish the work?

A) 40	B) 60
C) 80	D) 50

Answer & Explanation Answer: B) 60

Explanation:

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

6 1528

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:

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, thenwhat is the area of the bigger circle which is not enclosed by the two smaller circles (in sq.cm)?

A) 154	B) 256
C) 308	D) 616

Answer & Explanation Answer: C) 308

Explanation:

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

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Q:

Simplify $576 b^{3} x^{2} a^{4} z^{3} / 36 a^{3} b^{2} z$

A) 16bx2az2	B) 8bx2az2
C) 32ba2 z	D) 32bxa2

Answer & Explanation Answer: A) 16bx2az2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Find the unit place digit in ${(192)}^{102} + {(193)}^{103}$

A) 0	B) 1
C) 3	D) 5

Quantitative Aptitude - Arithmetic Ability Questions

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