Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two fractions are such that their product is ­2/5 and sum is 1/15. What are the two fractions.

A) 4/3, ­-3/10 B) 2/7, -­7/5
C) 4/7, ­-7/10 D) 2/3, ­-3/5
 
Answer & Explanation Answer: D) 2/3, ­-3/5

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Q:

If sinA/(1 + cosA) = x, then x is

A) cosecA + cotA B) secA - cotA
C) secA + cotA D) cosecA - cotA
 
Answer & Explanation Answer: D) cosecA - cotA

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Q:

If 4x + 3y = 11 and 3x + 2y = 8, then (x,y) is

A) 2, 0 B) 1, 6
C) 2, 1 D) 5, 6
 
Answer & Explanation Answer: C) 2, 1

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Q:

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

A) h(cotβ-cotα)cos(α+β) B) h(cotα - cotβ)
C) h(tanβ - tanα)tanα tanβ D) h(cotα+cotβ)
 
Answer & Explanation Answer: D) h(cotα+cotβ)

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Q:

Which of the set of three sides can't form a triangle?

A) 5 cm, 6 cm, 7 cm B) 5 cm, 8 cm, 15 cm
C) 8 cm, 15 cm, 18 cm D) 6 cm, 7 cm, 11 cm
 
Answer & Explanation Answer: B) 5 cm, 8 cm, 15 cm

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Q:

The side of an equilateral triangle is 8 cm. Find its area (in cm2).

A) 25√3 B) 16√2
C) 25√2 D) 16√3
 
Answer & Explanation Answer: D) 16√3

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Q:

The length of one side of a rhombus is 41 cm and its area is 720 sq.cm. What is the sum of the lengths of its diagonals?

A) 82 cm B) 90 cm
C) 98 cm D) 80 cm
 
Answer & Explanation Answer: C) 98 cm

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Q:

Find the greatest four digit number when divided by 8, 12, 16 leaves 2 as remainder in every case?

A) 9984 B) 9985
C) 9986 D) 9987
 
Answer & Explanation Answer: C) 9986

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