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Q:

Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

A) xy B) √( y/ x)
C) √( x/ y) D) √( xy)
 
Answer & Explanation Answer: D) √( xy)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 cm2, then what is the volume (in cm3) of cylinder?

A) 247200 B) 269500
C) 312500 D) 341800
 
Answer & Explanation Answer: B) 269500

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

Q:

In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

A) 3√3 B) 2√6
C) 4√2 D) 6√2
 
Answer & Explanation Answer: C) 4√2

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In the given figure, O is centere of the circle. Circle has 3 tangents. If angle QPR = 45 deg, then what is the value (in deg) of angle QOR ?

A) 67.5 B) 72
C) 78.5 D) 65
 
Answer & Explanation Answer: A) 67.5

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In the given figure, ABC is a right angled triangle. ABC = 90 deg and ACB = 60 deg. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

A) 4 B) 6
C) 4.5 D) 7.5
 
Answer & Explanation Answer: B) 6

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

Q:

AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠BAC = 60 deg, then what is the value (in cm) of (AB2 + AC2)?

A) 6√6 B) 4√6
C) 9√3 D) 8√3
 
Answer & Explanation Answer: A) 6√6

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In the figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circles is 3:5 and AC= 40, then what is the value of DE?

A) 3√15 B) 5√15
C) 6√15 D) 4√15
 
Answer & Explanation Answer: D) 4√15

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Filed Under: Area
Exam Prep: Bank Exams , CAT

Q:

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

A) 4 B) 2
C) 3 D) 5
 
Answer & Explanation Answer: C) 3

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Filed Under: Simplification
Exam Prep: Bank Exams