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

37 11540

Q:

Solve the following puzzle

You are going to visit your grandmother on Mother's day. You want to give her two cakes. However, to get to her house you must cross seven bridges. At each bridge is a troll who demands ½ of all of your cakes as the price to pass. However, this troll, being a nice troll, feels bad and gives you back 1 of the cakes that he took.

The puzzle to solve: How many cakes must you leave with to be able to give your grandmother 2 cakes

Answer

Do the math and you will see that this puzzle is based on the fact taht $\frac{1}{2}$ (2)=1 and 1+1=2

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Subject: Math Puzzles

63 11525

Q:

What is the scientific name for washing soda?

A) Sodium carbonate	B) Sodium bicarbonate
C) Calcium carbonate	D) Calcium bicarbonate

Answer & Explanation Answer: A) Sodium carbonate

Explanation:

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Filed Under: General Science

62 11511

Q:

Penny has 5 children, 1st is January, 2nd kid February, 3rd is called march , 4th is April. What is the name of the 5th.

Answer

Here If you notice the difference, There is no question mark (?) at the end of the puzzle.

In that case, "What" is the name of the 5th child.

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

65 11509

Q:

India's first solar ponds Bhuj Solar Pond project is being constructed in the state of ____

A) Rajasthan	B) Maharashtra
C) Gujarat	D) Andhra Pradesh

Answer & Explanation Answer: D) Andhra Pradesh

Explanation:

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Filed Under: Indian Geography

46 11507

Q:

Onplanet Earth, there is no centrifugal force at the

A) Equator	B) Tropic of cancer
C) Tropic of Capricorn	D) Poles

Answer & Explanation Answer: D) Poles

Explanation:

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Filed Under: World Geography

15 11505

Q:

The archaeological finds from Alamgirpur in Ghaziabad district reflected the

A) Harappa Culture	B) Vedic Culture
C) Mauryan Culture	D) Gupta Period Culture

Answer & Explanation Answer: A) Harappa Culture

Explanation:

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Filed Under: Indian History

17 11499

Q:

The modulus of elasticity for mild steel is approximately equal to

A) 210 kN/mm2	B) 100 kN/mm2
C) 80 kN/mm2	D) 10 kN/mm2

Answer & Explanation Answer: A) 210 kN/mm2

Explanation:

It is useful to have a property of a material that is independent of the size of the sample and can be use to compare its elastic properties with another - this is called the Modulus of Elasticity for the material.

The modulus of elasticity is defined as:

Modulus of elasticity = Stress / Strain

There are three types of moduli. They are :

(a) the Young Modulus - tensile and compression longitudinal stress

(b) the shear modulus - a shearing stress

(c) the bulk modulus - volume changes of the specimen.

mod-compressor1528180544.jpg image

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Filed Under: Physics
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2 11498

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