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Q:

If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x – 3) cm, AE = (x + 3) cm and EC= (x – 2) cm, then what is the value (in cm) of x?

A) 3 B) 3.5
C) 4 D) 4.5
 
Answer & Explanation Answer: D) 4.5

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Q:

If x + (1/x) = √13, then what is the value of x5 – (1/x5)?

A) 169 B) 169√3
C) 393 D) 507
 
Answer & Explanation Answer: C) 393

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Q:

The income of X, Y and Z are in the ratio of 3 : 4 : 2 and their expenses in the ratio of 5 : 5 : 2. If X saves Rs 3000 out of an income of Rs 18000, then whatwill be the saving (in RS) of Y

A) 4500 B) 9000
C) 6000 D) 7500
 
Answer & Explanation Answer: B) 9000

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Filed Under: Ratios and Proportions

Q:

What is the difference of the factors of the expression x2 + (1/x2) – 6?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: D) 4

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Q:

If (x - 13)2 + (y - 4)2 = 0, then the value of y + xy - x ?

A) 11/13 B) 13/11
C) 16/9 D) 9/16
 
Answer & Explanation Answer: B) 13/11

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Q:

If the angle subtended by the radius of the circle and vertex B of the triangle ABC is 400. Then calculate the value of BAC

A) 350 B) 450
C) 500 D) 650
 
Answer & Explanation Answer: C) 500

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Q:

What is the difference of the cube and square of the common root of (x2 – 8x + 15) = 0 and (y2 + 2y – 35) = 0?

A) 76 B) 100
C) 294 D) 318
 
Answer & Explanation Answer: B) 100

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Q:

A train of length 100 m crosses another train of length 150 m, running on a parallel track in the opposite direction in 9 seconds. If the speed of trainhaving length 150 m is 40 km/hr, then what is the speed (in km/hr) of the other train?

A) 30 B) 48
C) 50 D) 60
 
Answer & Explanation Answer: D) 60

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Filed Under: Problems on Trains
Exam Prep: Bank Exams