Quantitative Aptitude - Arithmetic Ability Questions

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

 

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1921
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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Boats and Streams
Exam Prep: Bank Exams

5 1921
Q:

What is the value of  4cos90-A sin390+A - 4sin90+A cos390-Acos180+8A2 ?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1921
Q:

In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students can understand each and every step

1. Which is greater than 4?

(a) 5,

(b) -5,

(c) -1/2,

(d) -25.
                                             

A) 5 B) 20
C) 2 D) 3
 
Answer & Explanation Answer: A) 5

Explanation:

Solution:

5 greater than 4.

Answer: (a)

Report Error

View Answer Report Error Discuss

Filed Under: Numbers
Exam Prep: Bank Exams

2 1919
Q:

If a saree is sold for Rs 1900 the seller will face 5% loss, at what price (in Rs) should he sell the saree to gain 15% profit?

A) 2200 B) 2400
C) 2500 D) 2300
 
Answer & Explanation Answer: D) 2300

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: Bank Exams

0 1919
Q:

Mansukh can do a piece of work in 10 hours. If he is joined by Jayanti who is 50% more efficient, in what time will they together finish the work?

A) 2 hours B) 6 hours
C) 4 hours D) 3 hours
 
Answer & Explanation Answer: C) 4 hours

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: Bank Exams

3 1919
Q:

A man travels 404 kilometres in partly by rail and steamer. He spends 10 hours more time on steamer. If the speed of the steamer is 30 km/hr and the velocity of rail is 50 km/hr, how much distance does he cover by steamer?

A) 407 km B) 509 km
C) 610 km D) 339 km
 
Answer & Explanation Answer: D) 339 km

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

0 1918
Q:

Rs. 750 invested for 3 months gave an interest of Rs. 18. What was the simple rate of interest per annum?

A) 9.6% B) 2.4%
C) 7.2% D) 12%
 
Answer & Explanation Answer: A) 9.6%

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simple Interest
Exam Prep: Bank Exams

7 1918