Puzzles Questions

In each row, 

Sum of 1st two digit number + last two digit number = Middle two digit number

i.e., 1st row 15 + 40 = 55

2nd row 46 + 47 = 93

Similarly, 7x + 16 = 87 => x = 1.

In the first figure, number of triangles are 5.

In the second, the figure becomes double then the number of triangles also doubles.

i.e, 10. 

Answer: J

Explanation:   Start with the letter J in the top left square, and move clockwise around the other squares. Letters follow the alphabetic sequence, skipping 4 letters at a time. Start with the X in the inner square in the top left, and move clockwise. These inner letters also follow the alphabetic sequence, skipping 5 letters at a time

Today, Tomorrow, Tuesday and Thursday.

From the given equations,

(a+b+c)2=a2+b2+c2+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

a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)
= (6) (14 - 11)
=(6)(3)
=18

Since, a3 + b3 + c3 - 3abc = 18

36 - 3abc = 18

-3abc = 18 - 36

-3abc = -18

abc = 6.

Given 8, 9, 1, 11 letters indicates HOME which is residence

7, 2, 9, 5 indicates POOL where we can swim

1, 4, 5, 11 indicates MILE which is unit of distance

10, 9, 3, 6, 5 is NOBEL which is an International Prize

6, 11 are 'e' and 2, 9 are 'o' are same

With all the above hints the word is MOBILEPHONE.

Let the integer be x. Then,

 x2-20x = 156

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

x = 26

The integer is 26.

Racecar and Civic are the two vehicles which spelled the same forwards an backwards.