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Q:

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel.
What is the area of triangle ADC?

A) 126 SQ.CM	B) 124 SQ.CM
C) 122 SQ.CM	D) 120 SQ.CM

Answer & Explanation Answer: A) 126 SQ.CM

Explanation:

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

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.

Consider the following statements:

1) The surface area of the sphere is √5 Times the curved surface area of the cone.

2) The surface area of the cube is equal to the curved surface area of the cylinder. Which of the above statements is/are correct?

A) 1 only	B) 2 only
C) Both 1 and 2	D) Neither 1 nor 2

Answer & Explanation Answer: D) Neither 1 nor 2

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)

Thus neither 1 nor 2 are true

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Filed Under: English
Exam Prep: Bank Exams

Q:

In the given fig, ST||RP, then what is the value of supplementary angle y (in deg)?

A) 10	B) 60
C) 100	D) 170

Answer & Explanation Answer: C) 100

Explanation:

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

Q:

If a = 73, b = 74 and c = 75, then what is the value of $a^{3} + b^{3} + c^{3} - 3 abc$ ?

A) 365	B) 444
C) 666	D) 999

Answer & Explanation Answer: C) 666

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A person lent certain sum of money at 10% per annum simple interest. In 20 years the interest amounted to Rs 500 more than the sum lent. What was the sum lent (in Rs)?

A) 200	B) 500
C) 1000	D) 250

Answer & Explanation Answer: B) 500

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Filed Under: Simple Interest
Exam Prep: Bank Exams

Q:

Two trains are moving in the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?

A) 48	B) 54
C) 62	D) 72

Answer & Explanation Answer: A) 48

Explanation:

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

Q:

After deducting 12% from a certain sum and then deducting 25% from the remainder, 2508 is left, then what is the initial sum?

A) 3500	B) 3450
C) 3970	D) 3800

Answer & Explanation Answer: D) 3800

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Filed Under: Percentage
Exam Prep: Bank Exams

Q:

The average of 8 consecutive natural numbers is 38.5. What is the largest of these 8 numbers?

A) 41	B) 39
C) 42	D) 45

Answer & Explanation Answer: C) 42

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

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