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Q:

The expression 52n –23n has a factor?

A) 3	B) 7
C) 17	D) None of the above

Answer & Explanation Answer: C) 17

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55	B) 56
C) 60	D) 64

Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The line chart given below shows the ratio of production of sales of two bike-manufacturing firms over the period of 6 years.

Company 1 sold 20000 bikes each year from 2011 to 2016 and company 2 sold 10000 bikes each year from 2011 to 2016. What is the difference (in units) in average yearly production of company 1 and 2?

A) 6733.33	B) 7500
C) 8666.66	D) 9333.33

Answer & Explanation Answer: D) 9333.33

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Filed Under: Line Charts
Exam Prep: Bank Exams

Q:

The line chart given below shows the ratio of production of sales of two bike-manufacturing firms over the period of 6 years.

The production of company 1 in year 2014 is 18000 and sales of company 2 in year 2012 is 15000. What is the ratio of difference in sales and production of company 1 in year 2014 and company 2 in year 2012?

A) 8 : 15	B) 7 : 16
C) 9 : 11	D) 3 : 8

Answer & Explanation Answer: A) 8 : 15

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Filed Under: Line Charts
Exam Prep: Bank Exams

Q:

The line chart given below shows the ratio of production of sales of two bike-manufacturing firms over the period of 6 years.

The production of company 2 in year 2012 is 30000. If sales of company 2 in year 2012 and 2013 is same, then what was its production (in units) in year 2013?

A) 100000	B) 16000
C) 30000	D) 20000

Answer & Explanation Answer: B) 16000

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Filed Under: Line Charts
Exam Prep: Bank Exams

Q:

The line chart given below shows the ratio of production of sales of two bike-manufacturing firms over the period of 6 years.

If the sales of company 1 in year 2015 was 50000 units, then what was its production (in units) in year 2015?

A) 38460	B) 45000
C) 52000	D) 65000

Answer & Explanation Answer: D) 65000

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Filed Under: Line Charts
Exam Prep: Bank Exams

Q:

What is the value $\frac{3}{2} (\frac{\cos 39}{\sin 51}) - \sqrt{\sin^{2} 39 + \sin^{2} 51}$

A) 1/2	B) 5/2
C) 0	D) Both 1/2 and 5/2

Answer & Explanation Answer: D) Both 1/2 and 5/2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If ${cosec}^{2} θ = 625 / 576$ , then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?

A) 1	B) 31/17
C) 17/31	D) 14/25

Answer & Explanation Answer: C) 17/31

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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