Q:

PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

A) 5/√3 B) 10√3
C) 10/√3 D) 5√2
 
Answer & Explanation Answer: A) 5/√3

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1235
Q:

If 2x + 3y – 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?

A) 32 B) 52
C) 64 D) 46
 
Answer & Explanation Answer: B) 52

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Exam Prep: Bank Exams

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Q:

Cost of 8 pencils, 5 pens and 3 erasers is Rs 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?

A) 316 B) 546
C) 624 D) 482
 
Answer & Explanation Answer: B) 546

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Q:

If x3  4x2 + 19 = 6(x  1), then what is the value of [x2 + (1/x  4)]?

A) 3 B) 5
C) 6 D) 8
 
Answer & Explanation Answer: C) 6

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Q:

If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?

A) 48 B) 24
C) 36 D) 42
 
Answer & Explanation Answer: B) 24

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Q:

α and β are the roots of the quadratic equation x2  x  1 = 0. What is the value of α8 + β8?

A) 47 B) 54
C) 59 D) 68
 
Answer & Explanation Answer: A) 47

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0 1014
Q:

If A and B are the roots of the equation Ax2  A2x + AB = 0, then what is the value of A and B respectively?

A) 1, 0 B) 1, 1
C) 0, 2 D) 0, 1
 
Answer & Explanation Answer: A) 1, 0

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0 1057
Q:

If x2  16x  59 = 0, then what is the value of (x  6)2 + [1/(x  6)2]?

A) 14 B) 18
C) 16 D) 20
 
Answer & Explanation Answer: B) 18

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