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Q:

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

Answer & Explanation Answer: C) 80

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

Q:

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

Answer & Explanation Answer: C) 50

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

Q:

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

Answer & Explanation Answer: A) 1:9

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

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

Answer & Explanation Answer: B) 1, 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

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

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

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?

A) 235	B) 338.4
C) 470	D) 940

Answer & Explanation Answer: A) 235

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

Q:

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?

A) 18000	B) 20000
C) 24000	D) 32000

Answer & Explanation Answer: B) 20000

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

Q:

A trader sold an article at profit of 20%. Had he bought that article at 60% less price and sold it at Rs 90 less, then he would have gained 50%. What is the value (in Rs) of cost price?

A) 150	B) 200
C) 250	D) 300

Answer & Explanation Answer: A) 150

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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