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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If Tan θ = 9/40, then Sec θ = ?

A) 40/41 B) 9/41
C) 41/40 D) 41/9
 
Answer & Explanation Answer: C) 41/40

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1991
Q:

If x3 – y3 = 81 and x – y = 3, then what is the value of x2 + y2?

A) 18 B) 21
C) 27 D) 36
 
Answer & Explanation Answer: B) 21

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Filed Under: Simplification
Exam Prep: Bank Exams

2 1991
Q:

If a boat goes a certain distance at 30 km/h and comes back the same distance at 20 km/hr, what is the average speed (in km/hr) for the total journey?

A) 25 B) 24.5
C) 24 D) 25.5
 
Answer & Explanation Answer: C) 24

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

5 1991
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

0 1990
Q:

If on a Sale there is 40% discount on the marked price of Rs 1000, but the sale is done at Rs 510 only then what additional discount (in %) did the customer get?

A) 25 B) 15
C) 10 D) 30
 
Answer & Explanation Answer: B) 15

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Filed Under: Percentage
Exam Prep: Bank Exams

1 1988
Q:

Cost price of an article is Rs 5800. If the loss percentage is 33%, then what is the selling price (in Rs) of the article?

A) 3886 B) 3424
C) 4420 D) 5168
 
Answer & Explanation Answer: A) 3886

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

2 1988
Q:

The average of three consecutive odd numbers is 52 more than 1/3rd of the largest of these numbers. What is the smallest of these numbers?

A) 79 B) 75
C) 81 D) 77
 
Answer & Explanation Answer: D) 77

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

4 1988
Q:

16/3 =

A) 5.33 B) 6
C) 5.74 D) 5.68
 
Answer & Explanation Answer: A) 5.33

Explanation:

16/3 = 5.333.. = 5.3

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

2 1987