**C.1249. ****Orhan bought a body height measuring tape,
that you supposed to put up on the wall. One end of the tape has the “80
cm” mark on it, the other end has the “170 cm” mark on it. The
person, whose height you want to measure, always stands on the floor, so
supposedly you should be able to measure the heights of people between 80 cm
and 170 cm tall. The tape is placed on the wall vertically, the bottom of it is
where it is supposed to be, and all the division marks are evenly spaced.
However, when we tested the tape for the first time and measured the height of
the 130-cm tall Peter, the tape showed 120 cm at the top of his head, which
means that the cm divisions are not where they are supposed to be. What is the
height of the tallest person you can measure with this tape?**

**C.1250.**** You make as many 4-digit numbers using each of the digits
1, 2, 3, and 4 exactly once. What fraction of all these numbers are divisible
by 11?**

**C.1251.**** ABCD is a square whose sides are 5 cm long. We draw the
CDE equilateral triangle on the CD side with E outside the square.**

**a) How big are the angles of triangle ABE?**

**b) How long is the radius of the circumscribed circle of
triangle ABE?**

**C.1252.**** On the island of the triaces live three kinds of people:
truthful people, who always tell the truth; liars, who always lie; and moody
people, who tell the truth 2/3 of the time, otherwise they lie. We know that
Sophia is moody, and that her brother, David, is not. To their grandma’s
question David said: ” I do not like apricot jam.” Sophia replied
immediately: “This is not even true!” What is the probability that
David likes apricot jam?**

**C.1253.**** I thought of a number. I added to it the sum of its
digits, and I got 2019. What number did I think of?**

**C.1254.**** I thought of a prime number. I multiplied it by 10 and
added the original prime to it. I got a 4-digit number whose first two digits
are 4 and zero. What prime number did I think of?**

**C.1255.**** Take a rectangle and cut it by 6 straight lines parallel
to its vertical sides and 6 straight lines parallel to its horizontal sides.
The perimeter of each of the 49 small rectangles in centimeters is a positive
whole number. Is it true that the perimeter of the original rectangle in
centimeters is a whole number?**

**C.1256.**** Using 5 identical cards, we created the following
building. What is the sum of the two marked angles on the side view of this
building?**

**Please send your solutions here.**

The **Sharma Kamala Educational Trust** is sponsoring the participation of students from India. So, if you are **a student living in India**, please, send your solutions to: Group C from India