Quantitative Aptitude - Arithmetic Ability Questions

Q:

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?

A) 4 : 21 B) 4 : 25
C) 4 : 29 D) 4 : 9
 
Answer & Explanation Answer: A) 4 : 21

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Q:

Point A (2, 1) divides segment BC in the ratio 2:3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?

A) 8 B) -7
C) -8 D) 7
 
Answer & Explanation Answer: D) 7

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Q:

Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm, 4.5 cm and the distance between their centres is 10 cm.

A) 6 cm B) 8 cm
C) 6.4 cm D) 3.6 cm
 
Answer & Explanation Answer: A) 6 cm

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Q:

The sum of two fractions is 3/4. One of them is 2/3. What is the other fraction?

A) 1/12 B) 1/1
C) 1/10 D) 1/5
 
Answer & Explanation Answer: A) 1/12

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Q:

Which of the following is a true statement?

A) Two similar triangles are always congruent. B) Two similar triangles have equal areas
C) Two triangles are similar if their corresponding sides are proportional D) Two polygons are similar if their corresponding sides are proportional
 
Answer & Explanation Answer: C) Two triangles are similar if their corresponding sides are proportional

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Q:

If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

A) 27720 sq cm B) 4620 sq cm
C) 6930 sq cm D) 13860 sq cm
 
Answer & Explanation Answer: D) 13860 sq cm

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Q:

Find the least number that must be subtracted from 98534, to get a number exactly divisible by 824.

A) 484 B) 478
C) 422 D) 375
 
Answer & Explanation Answer: B) 478

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Q:

A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter were to cost Rs. 1 lesser, then the total cost would remain unchanged. How long is the piece of cloth?

A) 10 m B) 14 m
C) 12 m D) 8 m
 
Answer & Explanation Answer: A) 10 m

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