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Q:

Find the in-radius (in cm) of an equilateral triangle whose sides are 6 cm each.

A) √3	B) 2√3
C) 3√3	D) 4√3

Answer & Explanation Answer: A) √3

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

Q:

In the given figure, the angle bisectors of B and C of an isosceles triangle intersect at point O. Find the angle BOC (in degree), when $∠ ABC = ∠ ACB = 75 °$ .

A) 105	B) 147.5
C) 160	D) 170

Answer & Explanation Answer: A) 105

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Filed Under: Area
Exam Prep: Bank Exams

Q:

If y = √3 - √2, then find the value of $(\frac{1}{y^{3}} - y^{3})$ .

A) 11	B) 11√2
C) 22	D) 22√2

Answer & Explanation Answer: D) 22√2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Find the value of $27 a^{3} + \frac{1}{a^{3}}$ , if $9 a^{2} + \frac{1}{a^{2}} = 43$

A) 240	B) 280
C) 320	D) 360

Answer & Explanation Answer: B) 280

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Find the greatest number among ${(2)}^{\frac{1}{3}}, {(3)}^{\frac{1}{2}}, 1, {(5)}^{\frac{1}{6}}$

A) 213	B) 312
C) 1	D) 516

Answer & Explanation Answer: B) 312

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

Find the unit place digit in ${(192)}^{102} + {(193)}^{103}$

A) 0	B) 1
C) 3	D) 5

Answer & Explanation Answer: B) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example 'B' can be represented by 34, 42 etc and 'W' can be represented by 97, 89 etc. Similarly, you have to identify the set for the word 'DAMP'.