79+ Math Puzzles Questions With Answers And Explanation

Q:

How many squares do you see?

squares11523426304.jpg image

A) 44	B) 45
C) 46	D) 50

Answer & Explanation Answer: B) 45

Explanation:

Number of squares in the given figure is

16 + 9 + 19 + 1 = 45.

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Q:

A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
Two faces measuring 4 cm x 1 cm are coloured in black.
Two faces measuring 6 cm x 1 cm are coloured in red.
Two faces measuring 6 cm x 4 cm are coloured in green.
The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

How many cubes will have green colour on two sides and rest of the four sides having no colour ?

A) 8	B) 24
C) 16	D) 4

Answer & Explanation Answer: A) 8

Explanation:

kar1486102114.png image

There are 16 small cubes attached to the outer walls of the cuboid.
Therefore remaining inner small cubes will be the cubes having two sides green coloured.
So the required number = 24 - 16 = 8

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Q:

Find the missing number in the following puzzle?

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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Q:

Following the same logic, crack this mathematical puzzle ?

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

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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Q:

How many times can you subtract 10 from 100?

A) 9 times	B) 10 times
C) 1 time	D) 0 times

Answer & Explanation Answer: C) 1 time

Explanation:

How many times can you subtract 10 from 100, for this if we go through logically, it is only 1 time. For the first time if we subtract 10 from 100, then there will no 100 to subtract from.

Hence, it is only 1 time we can subtract 10 from 100.

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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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Q:

If A is substituted by 4, B by 3, C by 2, D by 4, E by 3, F by 2 and so on, then what will be total of the numerical values of the letters of the word SICK?

A) 11	B) 12
C) 10	D) 9

Answer & Explanation Answer: A) 11

Explanation:

Total value = 4 + 2 + 2 + 3 = 11.

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Q:

A number of cats got together and decided to kill between them 999919 rats. Every cat killed an equal number of rats. Each cat killed more rats than there were cats. How many rats do you think that each cat killed ?

A) 1009	B) 991
C) 2000	D) 1000

Answer & Explanation Answer: A) 1009

Explanation:

Given total number of rats = 999919

999919 = 1000000 - 81 = $(1000^{2} - 9^{2})$ = (1000+9)(1000-9) = 1009 x 991.
Since there were more rats than there were cats, 991 cats killed 1009 rats each.

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