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Question Bank Solutions for AILET - Mathematics

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Solve the following question and mark the best possible option.
A swimming pool has dimensions 10 m x 26 m. At the deep end of the pool, the depth is 4.4 m and it uniformly decreases till the shallow end with a depth of 1.6 m What is the volume of the pool (in m3)? (in numerical value).

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

The area of the region bounded by the curve y = sin2x, x-axis and the lines x = 0, x = ππ2 is

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

If the volume of a balloon is increasing at the rate of 25 cm3/ sec. then if the radius of the balloon is 5 cm. then the rate of the surface area is:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

If the vertices of a parallelogram are (0, 0) , (2, 1), (1, 3) and (1, 2) then the angle between their diagonals will be:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

The unit vector perpendicular to the vector 6i + 2j – 2k will be:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

The area of the region bounded by the curves y2 = 4ax, x = 0 and x = a is 

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

The height of the cylinder of maximum volume that can be inscribed in a sphere of radius r is:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

If two vertices of a triangle are (6, 4), (2, 6) and its centroid (4, 6) then its theird vertex will be:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

The slop of the tangent to the parabola y2 = 4 ax point (at2, 2at) will be: 

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A stone is thrown in silent water, the ripples are moving at the rate of 6 cm0/sec. then the rate of change of the area when the radius of the unite is 10 cm. at the time when radius of the circle is 10 cm, then the rate at which its area increases is :

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

If three vertices of a square are 3i, 1 + i and 3 + 2i then its fourth vertex will be :

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

If a, b, c and u, v, w are complex numbers representing the vertices of two triangles such that c = (1 – r) a + b and w = ( 1 – r) u + rv, where e is a complex number, then the two triangles.

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

Surface area of hollow cylinder with radius ‘r’ and height ‘h’ is measured by

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A polygon having 8 sides is called

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A polygon having 10 sides is called

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

Perimeter of a rectangle with base ‘b’ and height ‘h’ is measured by

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A triangle that has no equal sides and no equal angles is known as

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A line going through midpoint from one side to other side of a circle is called

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

Area of a rectangle with base ‘b’ and height ‘h’ is measured by

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

Exterior angles of any polygon sum up to

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)
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Question Bank Solutions for AILET Mathematics. You can further filter Question Bank Solutions by subjects and topics. Solutions for most of the questions for National Law University, Delhi can be found here on Shaalaa.com. You can use these solutions to prepare for your studies and ace in exams. Solving questions is a great way to practice and with Shaalaa.com, you can answer a question and then also check your answer with the solutions provided.
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