Bank Exams Questions

Q:

In ΔABC, ∠BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD?

A) 3.5 B)  7
C) 10.5 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:
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Filed Under: Volume and Surface Area
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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)
VcubeVcylinder = a3πr22h = 14/11
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Q:

What is the reflection of the point (-4, 3) in the line x = -2?

A) (-4 , -7) B) (4 , 3)
C) (0 , 3) D) (-4 , 7)
 
Answer & Explanation Answer: C) (0 , 3)

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Q:

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions?

A) 3 B) 4
C) 6 D) 9
 
Answer & Explanation Answer: B) 4

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Filed Under: Simplification
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Q:

Find the volume (in cm3) of a right circular cylinder of diameter 21 cm and height 10 cm.

A) 3118 B) 3275
C) 3621 D) 3465
 
Answer & Explanation Answer: D) 3465

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Filed Under: Area
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Q:

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
If your child has not met the ______________ vaccination requirements, he or she will not be allowed to attend public school.

A) optional B) referral
C) compulsory D) guideline
 
Answer & Explanation Answer: C) compulsory

Explanation:
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Filed Under: English
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Q:

The boundary between Earth's crust and mantle is _____.

A) Moho discontinuity B) Lehman discontinuity
C) Conrad discontinuity D) Gutenberg discontinuity
 
Answer & Explanation Answer: A) Moho discontinuity

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Filed Under: General Science
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Q:

If x = 1 + √2 + √3 , then the value of 2x4 - 8x3 - 5x2 + 26x - 28 is

A) 2√2 B) 3√3
C) 5√5 D) 6√6
 
Answer & Explanation Answer: D) 6√6

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Filed Under: Simplification
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