4000+ Latest Bank Exams Questions and Answers with Explanation

Q:

If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of $\frac{a^{2} + b^{2} + c^{2}}{3}$ is :

A) M	B) 3 M^2
C) 2 (M/3)	D) M^2

Answer & Explanation Answer: B) 3 M^2

Explanation:

We have : ( a + b + c) / 3 = M or (a + b + c) = 3M.

Now. ${(a + b + c)}^{2} = {(3 M)}^{2} = 9 M^{2}$ .

$< = > a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a) = 9 M^{2}$

$a^{2} + b^{2} + c^{2} = 9 M^{2}, (a b + b c + c a = 0)$

Required mean = $(\frac{a^{2} + b^{2} + c^{2}}{3}) = \frac{9 M^{2}}{3} = 3 M^{2}$ .

Report Error

View Answer Report Error Discuss

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

35 28419

Q:

A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?

A) 315	B) 385
C) 415	D) 485

Answer & Explanation Answer: A) 315

Explanation:

Let the areas of the two parts be x and (700-x) hectares

therefore, $[x - (700 - x)] = \frac{1}{5} [\frac{x + (700 - x)}{2}]$

$\Rightarrow 2 x - 700 = 70$

$\Rightarrow x = 385$

So, the two parts are 385 and 315.

Hence, Area of the smaller = 315 hectares

Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

18 28414

Q:

In the following question, select the odd letter/letters from the given alternatives.

A) UQMI	B) SOKG
C) MIEB	D) PLHD

Answer & Explanation Answer: C) MIEB

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 28410

Q:

Web applications are designed to interpret _____________ to display text, images etc.

A) HTML	B) Hyperlinks
C) Computers	D) World Wide Web

Answer & Explanation Answer: A) HTML

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Computer
Exam Prep: Bank Exams

14 28389

Q:

In the following question, select the odd word from the given alternatives.

A) Cauliflower	B) Potato
C) Grapes	D) Brinjal

Answer & Explanation Answer: C) Grapes

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 28364

Q:

Select the letter which does NOT belong to the group.

A) 3	B) 1
C) 2	D) 4

Answer & Explanation Answer: B) 1

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 28360

Q:

The First Mechanical Computer Designed by Charles Babbage was called?

A) Super Computer	B) Abacus
C) Calculator	D) Analytical Engine

Answer & Explanation Answer: D) Analytical Engine

Explanation:

Computer was invented by Charles Babbage.

The First Mechanical Computer Designed by Charles Babbage, a British mathematician was called as Analytical Engine which resembles today's modern machines between 1833 and 1871.

Report Error

View Answer Report Error Discuss

Filed Under: Computer
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Project Manager , IT Trainer , Database Administration , Bank PO , Bank Clerk , Analyst

145 28360

Q:

What is the least number consisting of five digits that is exactly divisible by 12, 18, 20 and 25?

A) 10800	B) 11250
C) 10000	D) 10680

Bank Exams Questions

Quick Links