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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:

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:

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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Filed Under: Area
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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Filed Under: Simplification
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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Filed Under: Simplification
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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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?

A) 9/5	B) 11/7
C) 7/11	D) 7/4

Answer & Explanation Answer: D) 7/4

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of $\sqrt{4600 + \sqrt{540 + \sqrt{1280 + \sqrt{250 + \sqrt{36}}}}}$ ?

A) 69	B) 68
C) 70	D) 72

Answer & Explanation Answer: B) 68

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Filed Under: Simplification
Exam Prep: Bank Exams

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