Q:

Solve the following equations and find the value of abc?

A) 3	B) 6
C) 9	D) 12

Answer & Explanation Answer: B) 6

Explanation:

From the given equations,

$(a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 (ab + bc + ca)$
${(6)}^{2} = 14 + 2 (ab + bc + ca)$
36 - 14 = 2(ab + bc + ca)
22/2 = ab + bc + ca
ab + bc + ca = 11

$a^{3} + b^{3} + c^{3} - 3 abc = (a + b + c) (a^{2} + b^{2} + c^{2} - ab - bc - ca)$
= (6) (14 - 11)
=(6)(3)
=18

Since, $a^{3} + b^{3} + c^{3} - 3 abc = 18$

36 - 3abc = 18

-3abc = 18 - 36

-3abc = -18

abc = 6.

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Filed Under: Math Puzzles
Exam Prep: Bank Exams , CAT

35 10477

Q:

" Kamarupa " is the old name of ______ state ?

A) Bihar	B) Assam
C) Bengal	D) Odisha

Answer & Explanation Answer: B) Assam

Explanation:

Alternately it is also called as Pragjyotisha before British rule.

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

21 10475

Q:

In a Certain Country 1/2 of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

A) 4	B) 6
C) 8	D) 10

Answer & Explanation Answer: A) 4

Explanation:

Let $\frac{1}{3} (10) = x$

=> 3x = 10

Given that $\frac{1}{2} (5) = 3$

Therefore, $\frac{5}{2} x = 10$

=> x = 10/3 = 4.

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Filed Under: Math Puzzles
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank Clerk

20 10471

Q:

One astronomical unit is the average distance between

A) Earth and the Sun	B) Earth and the Moon
C) Jupiter and the Sun	D) Pluto and the Sun

Answer & Explanation Answer: A) Earth and the Sun

Explanation:

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Filed Under: Physics

30 10468

Q:

The term biodiversity refers to

A) Range of genetic variation within a population	B) Total number of different species within a habitat
C) Both A & B	D) None of the above

Answer & Explanation Answer: C) Both A & B

Explanation:

The term biodiversity refers to the variety of life on Earth at all its levels, from genes to ecosystems, and the ecological and evolutionary processes that sustain it.

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

9 10465

Q:

Telangana region represents one of the following types of vegetation

A) Tropical deciduous	B) Thorn
C) Tropical ever green	D) Sub - tropical decidual

Answer & Explanation Answer: B) Thorn

Explanation:

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Filed Under: Indian Geography

30 10452

Q:

Which one of the following does not contain Silver ?

A) Horn Silver	B) Ruby Silver
C) Lunar Caustic	D) German Silver

Answer & Explanation Answer: D) German Silver

Explanation:

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Filed Under: General Awareness
Exam Prep: AIEEE , Bank Exams , CAT
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30 10445

Q:

Which entity owns ITIL now?

Answer

ITIL (Information Technology Infrastructure Library) is owned by Axelos since, 2013.

Workspace

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Subject: ITIL Certification
Job Role: IT Trainer , Network Engineer , Project Manager , Software Architect

30 10443

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