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Q:

In the given figure, PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?

A) 35.33	B) 37.33
C) 41.33	D) 43.33

Answer & Explanation Answer: B) 37.33

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

Q:

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?

A) 5√10	B) 4√10
C) 8√5	D) 16√2

Answer & Explanation Answer: A) 5√10

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

Q:

In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

A) 10	B) 5
C) 18	D) 14

Answer & Explanation Answer: A) 10

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In triangle XYZ, G is the centroid. If XY = 11 cm, YZ = 14 cm and XZ = 7 cm, then what is the value (in cm) of GM ?

A) 6	B) 4
C) 2	D) 3

Answer & Explanation Answer: C) 2

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Filed Under: Area
Exam Prep: Bank Exams

Q:

If $x + 3 y - \frac{2 z}{4} = 6, x + \frac{2}{3} (2 y + 3 z) = 33 and \frac{1}{7} (x + y + z) + 2 z = 9,$ then what is the value of 46x+ 131y ?

A) 414	B) 364
C) 384	D) 464

Answer & Explanation Answer: A) 414

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If 3x + 4y – 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z – 4 = 18, then what is the value of x + y + z – 34?

A) – 28	B) – 14
C) – 31	D) – 45

Answer & Explanation Answer: C) – 31

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If a + b = 10 and $\sqrt{\frac{a}{b}} - 13 = - \sqrt{\frac{b}{a}} - 11$ , then what is the value of $3 ab + 4 a^{2} + 5 b^{2}$ ?

A) 450	B) 300
C) 600	D) 750

Answer & Explanation Answer: B) 300

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $\sqrt[3]{\frac{1 - a}{a}} + 9 = 19 - \sqrt[3]{\frac{a}{1 - a}}$ , then what is the value of a?

A) 3/10, 7/10	B) 1/10, 9/10
C) 2/5, 3/5	D) 1/5, 4/5

Answer & Explanation Answer: B) 1/10, 9/10

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

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