79+ Math Puzzles Questions With Answers And Explanation

Math Logic Challenge

18582095_1309614185812349_1823149961450714717_n1499156071.jpg image

A) 23	B) 26
C) 13	D) 29

Answer & Explanation Answer: B) 26

Explanation:

Let the integer be x. Then,

$x^{2} - 20 x = 156$

(x + 6)(x - 26) = 0

x = 26

The integer is 26.

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12 3464

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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20 3446

Solve this logical Math puzzle?

Solve_this_math_puzzles1542974183.jpg image

A) 1	B) 0
C) 10	D) 5

Answer & Explanation Answer: A) 1

Explanation:

From the given data,

11+ 11 = 4 => 1 + 1 + 1 + 1 = 4

12 + 12 = 6 => 1 + 2 + 1 + 2 = 6

13 + 1 3 = 8 => 1 + 3 + 1 + 3 = 8

Similarly,

14 + 14 = 10 => 1 + 4 + 1 + 4 = 5 + 5 = 10

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15 3427

How much money did the owner lose?

logical_math_puzzle1539151721.jpg image

A) Rs. 40	B) Rs. 200
C) Rs. 60	D) Rs. 100

Answer & Explanation Answer: D) Rs. 100

Explanation:

The owner first lost Rs. 100 in cash, but after the thief bought Rs. 60 goods, he get back that Rs. 100 but he lost Rs. 60 value of goods and Rs. 40 in change.

So, a total of 60 + 40 = Rs. 100 the owner lose.

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4 3323

Solve the given math puzzle?

math_puzzle21543466621.jpg image

A) 11	B) 3
C) 10	D) 1

Answer & Explanation Answer: C) 10

Explanation:

From the given data,

1 + 9 + 8 = 1

ONE + NINE + EIGHT

Consider the first letters and join them viz O N E = 1

So, now consider 2 + 8 + 9 in similar way

TWO+EIGHT+NINE

First letters are T E N = 10

2 + 8 + 9 = 1⃣0⃣

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11 3303

Q:

Solve this puzzle?

A) 18 B) 16

C) 20 D) 14

A) 18

B) 16

C) 20

D) 14

Answer & Explanation Answer: B) 16

Explanation:

Let the given be resembled in letters like R, G & B.

Here given,

1) R + R + R = 30

=> 3R = 30 => R = 30/3 = 10

2) R + G + G = 18 => R + 2G = 18 => 10 + 2G = 18 => 2G = 8 => G = 4

3) G - B = 2 => B = G - 2 => B = 4 - 2 => B = 2

Hence, R + G + B = 10 + 4 + 2 => 16.

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4 3088

Q:

How much time for the total distance?

A) 85 min B) 1 hr 15 min

C) 90 min D) 1 hr 08 min

A) 85 min

B) 1 hr 15 min

C) 90 min

D) 1 hr 08 min

Answer & Explanation Answer: B) 1 hr 15 min

Explanation:

From the given data,

if 60% = 45 minutes

100% = ?

=> 45 × 100/60

= 75 min

i.e, = 1hr 15 min.

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17 3056

Q:

If $9 = 63 8 = 48 7 = 35$

Then 4 = ?

A) 4 B) 8

C) 12 D) 16

A) 4

B) 8

C) 12

D) 16

Answer & Explanation Answer: B) 8

Explanation:

Here given that 9 = 63, 8 = 48, 7=35, ...

The given question follows a pattern that

9 x (9 - 2) = 9 x 7 = 63

8 x (8 - 2) = 8 x 6 = 48

7 x (7 - 2) = 7 x 5 = 35

Similarly, 4 x (4 - 2) = 4 x 2 = 8.

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8 2924

Math Puzzles Questions

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