Quantitative Aptitude - Arithmetic Ability Questions

Q:

A sum of Rs 8000 is divided into two parts. The simple interest on first part at the rate of 21% per annum is equal to the simple interest on second part at the rate of 35% per annum. What is the interest (in Rs) of each part?

A) 1050 B) 840
C) 1400 D) 1220
 
Answer & Explanation Answer: A) 1050

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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 DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

A) 12.6 cm B) 9.3 cm
C) 8.1 cm D) 5.4 cm
 
Answer & Explanation Answer: A) 12.6 cm

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

I. 2x2-13x-189=0 II. 2y2-3y-189=0

A) x>y B)  x≥y
C)  x<y D) x≤y
 
Answer & Explanation Answer:

Explanation:

I. 2x2 - 13x - 189 = 0 2x2 - 27x + 14x - 189 = 0 x(2x - 27) + 7(2x - 27) = 0 x = -7, 27/2

II. 2y2 - 3y - 189 = 0 2y2 - 21y + 18y - 189 = 0 y(2y - 21) + 9(2y - 21) = 0 y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.

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Q:

If 17/3 + [3(2x - 5/3)]/2 = 1/6, then what is the value of x?

A) 1 B) 3
C) -3 D) -1
 
Answer & Explanation Answer: D) -1

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Exam Prep: Bank Exams

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Q:

P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

A) 1.5 B) 2
C) 2.5 D) 3
 
Answer & Explanation Answer: C) 2.5

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Filed Under: Simplification
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Q:

If 5+x+5-x5+x-5-x = 3,then what is the value of x ?

A) 5/2 B) 25/3
C) 4 D) 3
 
Answer & Explanation Answer: D) 3

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Q:

For the inequation x^2–7x + 12 > 0, which one of the following is correct ?

A) 3 < x < 4 B) –∞ < x < 3 only
C) 4 < x < ∞ only D) –∞ < x < 3 or 4 < x < ∞
 
Answer & Explanation Answer: D) –∞ < x < 3 or 4 < x < ∞

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Exam Prep: Bank Exams

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Q:

What is the value of cosec -7π/6?

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

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