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In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

A) 50	B) 60
C) 80	D) 100

A) 50

B) 60

C) 80

D) 100

Answer & Explanation Answer: C) 80

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

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?

A) 30	B) 45
C) 50	D) 60

A) 30

B) 45

C) 50

D) 60

Answer & Explanation Answer: C) 50

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

If the expression ${px}^{3} - 2 x^{2} - qx + 18$ is completely divisible by $(x^{2} - 9)$ , then what is the ratio between p and q respectively?

A) 1:9	B) 1:3
C) 3:1	D) 9:1

A) 1:9

B) 1:3

C) 3:1

D) 9:1

Answer & Explanation Answer: A) 1:9

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Filed Under: Simplification
Exam Prep: Bank Exams

If the expression ${px}^{3} - {qx}^{2} - 7 x - 6$ is completely divisible by $x^{2} - x - 6$ , then what is the value of p and q respectively?

A) 0, 1	B) 1, 0
C) 2, 1	D) 1, 2

A) 0, 1

B) 1, 0

C) 2, 1

D) 1, 2

Answer & Explanation Answer: B) 1, 0

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Filed Under: Simplification
Exam Prep: Bank Exams

If $4^{(x + y)} = 256 and {(256)}^{(x - y)} = 4$ , then what is the value of x and y?

A) 17/8, 15/8	B) 17/4, 15/4
C) 9/17, 15/17	D) 8/17, 8/15

A) 17/8, 15/8

B) 17/4, 15/4

C) 9/17, 15/17

D) 8/17, 8/15

Answer & Explanation Answer: A) 17/8, 15/8

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Filed Under: Simplification
Exam Prep: Bank Exams

Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he is having Rs 12800 now, then what is the income (in Rs) of Amit?