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Q:

The line passing through point (-3,1) and point (x,5) is parallel to the line passing through point (-2,-1) and point (6,3). What is the value of x?

A) -5 B) -2
C) 2 D) 5
 
Answer & Explanation Answer: D) 5

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

Q:

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:5, and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

A) 49 sq cm B) 45 sq cm
C) 25 sq cm D) 21 sq cm
 
Answer & Explanation Answer: B) 45 sq cm

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Filed Under: Area
Exam Prep: Bank Exams

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

Q:

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and AE are 8 cm, 4 cm and 12 cm respectively, what is the length of AC?

A) 6 cm B) 18 cm
C) 9 cm D) 15 cm
 
Answer & Explanation Answer: B) 18 cm

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Filed Under: Area
Exam Prep: Bank Exams

Q:

A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?

A) 1 : 8 : 27 B) 1 : 8 : 19
C) 2 : 9 : 27 D) 1 : 7 : 19
 
Answer & Explanation Answer: D) 1 : 7 : 19

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

Q:

The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?

A) 34650 B) 61600
C) 36960 D) 62370
 
Answer & Explanation Answer: D) 62370

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

Q:

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?

A) 8 B) 12
C) 6 D) 15
 
Answer & Explanation Answer: B) 12

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A right circular cylinder has height as 18 cm and radius as 7 cm. The cylinder is cut in three equal parts (by 2 cuts parallel to base). What is the percentage increase in total surface area?

A) 62 B) 56
C) 48 D) 52
 
Answer & Explanation Answer: B) 56

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