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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:

Triangle ABC is similar to triangle PQR and AB : PQ = 2 : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of ${(BD / QS)}^{2}$ ?

A) 3/5	B) 4/9
C) 2/3	D) 4/7

Answer & Explanation Answer: B) 4/9

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Exam Prep: Bank Exams

Q:

In the given figure, ABCD is a square whose side is 4 cm. P is a point on the side AD. What is the minimum value (in cm) of BP + CP ?

A) 4√5	B) 4√4
C) 6√3	D) 4√6

Answer & Explanation Answer: A) 4√5

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Exam Prep: Bank Exams

Q:

ABC is a right angled triangle. ∠BAC = 90 deg and ∠ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

A) 1 : 2	B) 1 : √3
C) 2 : √3	D) 2 : 3

Answer & Explanation Answer: B) 1 : √3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?

A) 415	B) 465
C) 440	D) Cannot be determined

Answer & Explanation Answer: B) 465

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Exam Prep: Bank Exams

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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Exam Prep: Bank Exams

Q:

$If α and β are the roots of equation x^{2} - x + 1 = 0, then which equation will have roots α^{3} and β^{3} ?$

A) x2 + 2x + 1 = 0	B) x2 – 2x – 1 = 0
C) x2 + 3x – 1 = 0	D) x2 – 3x + 1 = 0

Answer & Explanation Answer: A) x2 + 2x + 1 = 0

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Exam Prep: Bank Exams

Q:

$If x 1 x 2 x 3 = 4 (4 + x 1 + x 2 + x 3), then what is the value of [1 / (2 + x 1)] + [1 / (2 + x 2)] + [1 / (2 + x 3)] ?$

A) 1	B) 1/2
C) 2	D) 1/3

Answer & Explanation Answer: B) 1/2

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Filed Under: Simplification
Exam Prep: Bank Exams

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