Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of {(sin 4x + sin 4y) [(tan 2x – 2y)]}/(sin 4x – sin 4y)?

A) tan 2 (2x + 2y) B) tan2
C) cot (x – y) D) tan (2x + 2y)
 
Answer & Explanation Answer: D) tan (2x + 2y)

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1944
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 1944
Q:

The average of 29 consecutive even integers is 60. The highest of these integers is

A) 88 B) 118
C) 176 D) 120
 
Answer & Explanation Answer: A) 88

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Filed Under: Numbers
Exam Prep: Bank Exams

1 1944
Q:

When a number is increased by 38, it becomes 119% of itself. What is the number?

A) 200 B) 456
C) 570 D) 342
 
Answer & Explanation Answer: A) 200

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Filed Under: Percentage
Exam Prep: Bank Exams

2 1944
Q:

A trader marks his goods in such a way that after allowing a discount of 10% he gains 15%. If an article costs him Rs. 720, his marked price is

A) Rs.920 B) Rs.900
C) Rs.820 D) Rs.950
 
Answer & Explanation Answer: A) Rs.920

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Filed Under: Profit and Loss

5 1942
Q:

What is the remainder when 6910 is divided by 81?

A) 25 B) 23
C) 21 D) 19
 
Answer & Explanation Answer: A) 25

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

1 1941
Q:

What is the value of sin225°+ sin265°?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: B) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1941
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 1940