6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $2 \cos^{2} A - 1 = x$ , then the value of x is

A) cosec4A - sin4A	B) cos4A - sin4A
C) cos4A - tan4A	D) cosec4A - tan4A

Answer & Explanation Answer: B) cos4A - sin4A

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

2sin[(C+D)/2].sin[(D-C)/2] is equal to

A) cosC + cosD	B) cosC - cosD
C) sinC - sinD	D) sinC + sinD

Answer & Explanation Answer: B) cosC - cosD

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Find the odd word/letters/number pair from the given alternatives

A) HP	B) CJ
C) FN	D) RZ

Answer & Explanation Answer: B) CJ

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

A) 1 hour	B) 1 hour 15 minutes
C) 1 hour 25 minutes	D) 1 hour 30 minutes

Answer & Explanation Answer: B) 1 hour 15 minutes

Explanation:

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Filed Under: Pipes and Cistern
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:

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:

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

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

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Q:

Rathin is now 16 years old while his cousin is 7 years. After how many years will Ratin's age be 1.5 times that of his cousin?

A) 12	B) 11
C) 9	D) 10

Quantitative Aptitude - Arithmetic Ability Questions

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