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Q:

In the given figure, MNOP is a parallelogram. PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If OX = 27 cm and XY = 18 cm, then what is the length (in cm) of YZ?

A) 21.4 B) 22.5
C) 23.8 D) 24.5
 
Answer & Explanation Answer: B) 22.5

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

Q:

What is the area (in cm2) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

A) 275/7 B) 550/7
C) 2200/7 D) 1100/7
 
Answer & Explanation Answer: B) 550/7

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Filed Under: Area
Exam Prep: Bank Exams

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

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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Filed Under: Simplification
Exam Prep: Bank Exams

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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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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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Filed Under: Simplification
Exam Prep: Bank Exams

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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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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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Filed Under: Simplification
Exam Prep: Bank Exams