Aptitude and Reasoning Questions

Q:

In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

A) 18 B) 28
C) 32 D) 36
 
Answer & Explanation Answer: D) 36

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

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Q:

If tan(A/2) = x, then the value of x is

A) √[(1 + cosA)/(1 -­ cosA)] B) (1 -­ cosA)/(1 + cosA)
C) (1 + cosA)/(1 -­ cosA) D) √[(1 -­ cosA)/(1 + cosA)]
 
Answer & Explanation Answer: D) √[(1 -­ cosA)/(1 + cosA)]

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

An engineering student has to secure 25% marks to pass. He gets 45 and fails by 45 marks. Find the maximum marks.

A) 385 marks B) 410 marks
C) 435 marks D) 360 marks
 
Answer & Explanation Answer: D) 360 marks

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre Oand radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord ABis 5 cm, then what is the value (in deg) of COD?

A) 90 B) 120
C) 150 D) 135
 
Answer & Explanation Answer: B) 120

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Δ ABC is right angled at B. If m∠A = 60°, then what is the value of sec C.sin A?

A) 2/√3 B) √3/2
C) 2/3 D) 1
 
Answer & Explanation Answer: D) 1

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Q:

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

A) (1 , -1) B) (-1 , 1)
C) (2 , -2) D) (-2 , 2)
 
Answer & Explanation Answer: A) (1 , -1)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of sec -2π/3 ?

A) -2 B) 2
C) 2/√3 D) -2/√3
 
Answer & Explanation Answer: A) -2

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Q:

Given that tan(θ + 15°) = √3. Then the value of θ is?

A) 15° B)  75°
C) 45° D) 65°
 
Answer & Explanation Answer: C) 45°

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Filed Under: Simplification
Exam Prep: Bank Exams

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