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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 1964
Q:

Which of the following sports is almost always illegal?

A) Base jumping B) Boxing
C) Basket ball D) Rugby
 
Answer & Explanation Answer: A) Base jumping

Explanation:

Base jumping is almost always illegal.

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

0 1964
Q:

Which of the following is the leading producer of soybean in India?

A) Uttar Pradesh B) Chhattisgarh
C) Maharashtra D) Madhya Pradesh
 
Answer & Explanation Answer: D) Madhya Pradesh

Explanation:

Madhya Pradesh is the leading producer of soybean in India.

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Filed Under: Indian Geography
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

0 1964
Q:

If an animal is an ectotherm, it has?

A) A skeleton on the inside of its body B) A body that does not produce much internal heat
C) A skeleton on the outside of its body D) A body that regulates its own internal temperature
 
Answer & Explanation Answer: B) A body that does not produce much internal heat

Explanation:
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Filed Under: Animals and Birds
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

2 1964
Q:

Separation of judiciary from executive is enjoined by

A) Preamble B) Judicial decision
C) Directive Principle D) Seventh schedule
 
Answer & Explanation Answer: C) Directive Principle

Explanation:
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Filed Under: Indian Politics
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

0 1963
Q:

The concept of due process refers to

A) banking B) justice
C) politics D) economy
 
Answer & Explanation Answer: B) justice

Explanation:

Due process is the legal requirement that the state must respect all legal rights that are owed to a person.

Therefore, due process refers to the criminal justice system operating within the bounds of the law.

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Filed Under: Indian Politics
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

2 1963
Q:

Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.

To give money to agents for sales.

A)  Salary B)  Commission
C) Fee D) Incentive
 
Answer & Explanation Answer: B)  Commission

Explanation:
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Filed Under: English
Exam Prep: TOEFL , GRE , CAT

0 1963
Q:

In the following question, out of the given four alternatives, select the one which is opposite in meaning of the given word.

Discordant

A) Aggressive B) Agreeable
C) Noisy D) Differ
 
Answer & Explanation Answer: A) Aggressive

Explanation:
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Filed Under: English
Exam Prep: CAT , GRE , TOEFL
Job Role: Bank Clerk , Bank PO

0 1963