Mathematical Genius Questions And Answers

Solve the following equations and find the value of abc?

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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Find the missing number in the following puzzle?

A) 86	B) 98
C) 104	D) 112

A) 86

B) 98

C) 104

D) 112

Answer & Explanation Answer: B) 98

Explanation:

Here the answer is 98.

The logic in the given puzzle:

2+3 = 8
3+7 = (7+2)x3 = 27
4+5 = (5+3)x4 = 32
5+8 = (8+4)x5 = 60
6+7 = (7+5)x6 = 72

Similarly,

7+8 = (8+6)x7 = 98.

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Following the same logic, crack this mathematical puzzle ?

Answer & Explanation Answer: C) 1

Explanation:

The answer here is 1 .

Logic Followed in the given puzzle ::

The logic here is the number of circles in each 4 digit number mentioned.

8801 has 5

5261 has 1

and so on

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What value will replace the question mark in the puzzle?

Answer & Explanation Answer: C) 46

Explanation:

The Answer is 46.

Logic ::

First number on the right hand side is the second number in the left side of equation ( and ) second number on the right side is the sum of two numbers on the left side of the equation.

Hence, 2 + 4 = 4(2+4) = 46.

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Solve the value of D?

Answer

A + B = 15 .... (1)

B x C = 84 .... (2)

C ÷ 4 = 3 .... (3)

B + D = 18 .... (4)

From (3), we get C = 12

From (2), we get B = 84/12 = 7

From (1), we get A = 15 - 7 = 8

From (4), we get D = 18 - 7 = 11

Hence, D = 11.

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Can you solve this maths puzzle?

Answer & Explanation Answer: B) 12

Explanation:

The logic in this puzzle is summing the result of [subtraction of upper two digits] & [addition of lower two digits]

Hence, the result is

(5 - 3) + (2 + 8) = 2 + 10 = 12.

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90% of people fail to solve this math puzzle?

ninety_percent_fail_to_answer_this1588595933.jpg image

A) 45	B) -20
C) 35	D) -60

A) 45

B) -20

C) 35

D) -60

Answer & Explanation Answer: D) -60

Explanation:

A - A - A = 20
B - B - B = 15
C - C - C = 25

A = -20
B = -15
C = -25

=> A + B + C = (-20)+(-15)+(-25) = -20 - 15 - 25 = -60.

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