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Q:

In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

A) 4.8 cm B) 9.8 cm
C) 7.8 cm D) 7.2 cm
 
Answer & Explanation Answer: D) 7.2 cm

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Filed Under: Area
Exam Prep: Bank Exams

Q:

A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?

A) 11750 B) 14100
C) 18800 D) 23500
 
Answer & Explanation Answer: C) 18800

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

Q:

In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. AOB = 64 deg. BP cuts AQ at X. What is the value (in deg) of AXP?

 

A) 36 B) 32
C) 58 D) 54
 
Answer & Explanation Answer: C) 58

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Q:

A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?

A) 240 B) 120
C) 60 D) 90
 
Answer & Explanation Answer: C) 60

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Q:

A line cuts the x­axis at the point (­3,0) and the y­axis at the point (0,6). What is the equation of the line?

A) x = 2y + 6 B) y = 2x ­- 6
C) x = 2y -­ 6 D) y = 2x + 6
 
Answer & Explanation Answer: D) y = 2x + 6

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Filed Under: Average
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Q:

A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cut along each axis). What will be the total surface area (in cm2) of each part?

A) 844.5 B) 1732.5
C) 1039.5 D) 1115.6
 
Answer & Explanation Answer: B) 1732.5

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Filed Under: Volume and Surface Area
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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
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Q:

The radius of base of solid cone is 9 cm and its height is 21 cm. It cut into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7 cm and 14 cm from the base respectively. What is the ratio of curved surface areas of top, middle and bottom parts respectively?

A) 1 : 4 : 8 B) 1 : 3 : 5
C) 1 : 3 : 9 D) 1 : 6 : 12
 
Answer & Explanation Answer: B) 1 : 3 : 5

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams