**C.1185. ****Is there a positive whole number n such that:**

**C.1186.**** Out of the numbers divisible by 3, we picked four consecutive numbers. To the sum of these, we added a third of the sum, and then a half of the third of the sum. We got 225. What were those four numbers?**

**C.1187.**** Towards the end of the opening month of a new school year, two students are talking after school:**

**– What is the average of your grades in Math now?**

**– 4.6**

**– That is impossible since the year just started. You could not possibly have that many grades.**

**What was the doubting student thinking of if the possible grades teachers give out in this school are 1, 2, 3, 4, and 5; 5 being the best grade?**

**C.1188.**** Sam and his father are talking:**

**– Son, how many pages are there in the book you have to read for school?**

**– Less than 1000.**

**– Have you started reading it yet?**

**– Yes, on Sunday I already passed page 150.**

**– And how many pages did you read today?**

**– Very many! The sum of the page numbers of the pages I read today is 2761.**

**What pages did Sam read on the day of this conversation?**

**C.1189.**** Is there a number that has at least 2 digits, is a square number, has all different digits, and if you change the order of its digits you always get a square number?**

**C.1190.**** Grandma Olga is baking a cake in a 24 x 42 cm rectangular baking dish. Up until now, grandma always cut her cakes in the baking dish by 5 straight cuts parallel to the shorter side of the dish, and 3 cuts parallel to the other side of the dish to get 24 equal pieces. Her handy grandson, however, made an L shape knife for her with one 6 cm long blade and another 7 cm long blade which is perpendicular to the shorter one. She just has to push this knife into the cake from the top to make a cut. At least how many times does grandma have to push this knife into the cake to make her usual 24 equal pieces?**

**C.1191.**** Are there eleven consecutive positive whole numbers whose sum is prime? If so, find all of them; if not, prove it!**

**C.1192.**** In a class 85% of the students received the highest grade in English Literature, 80% in Math, 75% in History, and 30% in Chemistry. About what percent of the students could you say for sure received the highest grade in all four of these subjects? **

**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