Chrysovenquest – Prelims
- Complete the letter sequence: a, b, d, g, k, _____
A box in a dark room has 3 red socks, 31 blue socks, 314 white socks and 3141 black socks. What is the minimum number of socks that you have to pick to ensure you have at least one matching pair of socks of the same colour?
If the day after May 10, 3141 is yesterday. Also, May 10, 3141 is a Saturday. What is today's day?
What comes next? 53 , 59 , 61 , 67 , 71 , ______
Start from “START” and draw a straight line to the next cell. If you are on 1, you can change your direction but if you are on 2, you have to continue in the same direction in which you came into the cell. You should cover all cells and not cover any of them more than once to reach the “END”. Draw the path.
- What is the minimum number of lines to be removed so that there are no triangles left?
You visit an island of strange people. The people there lie on Tuesdays, Thursdays and Saturdays and they tell the truth on all other days. You have forgotten which day it is. So you ask one of the islanders what day it is. "Today is Saturday and tomorrow is Wednesday," he replies. Can you deduce what day is today?
A cable, 16 meters long, hangs between two pillars that are both 15 meters high. The ends of the cable are attached to the tops of the pillars. At its lowest point, the cable hangs 7 meters above the ground. How far apart are the two pillars?
Use the numerals 1, 9, 9 and 6 exactly in that order to make the following numbers: (a) 76 , ( b) 77. You can use the mathematical symbols +, -, ×, /, brackets and concatenation. Example: 93 = (1×99)-6
I am as old as my grandson in years as he is in months, and my son is as old as my grandson in weeks as he is in days. If the sum of all our ages is 100. What are our ages? __________, __________, __________
- [Equation]
Every alphabet represents a distinct digit. Find the value of (a + b + c + 5 + e).
A student was studying for his exams and the lights went off. He lit two uniform candles of equal length at 1am, but one was longer and thicker than the other. The thick candle is supposed to last for 6 hours and the thin one for 4 hours. When he stopped studying the thick candle was twice as long as the thin one. For how many hours did he study?
In a family there is 1 grandfather, 1 grandmother, 2 fathers, 2 mothers, 4 children, 3 grandchildren, 1 brother, 1 sister, 1 father in law, 1 mother in law, 1 daughter in law, 2 wives, ,2 husbands. What is the minimum number of people required to adhere to this criteria?
With 3 cuts on a cube we can get 8 equal Pieces. With one more cut, and without rearrangement or re-orientation, what is the maximum number of pieces you can get? The pieces do not have to be equal.
What number logically comes next in the following sequence? 4 6 9 5 4 2 3 9 ______
Draw 2 squares so that every dot is in a separate box.
- Cut the rectangle into 2 pieces and arrange it so that it becomes a square.
Divide the square into 7 equal parts with straight lines.
How do you cut the donut into 9 pieces with 3 cuts? They don’t have to be of the same size or shape.
Here's the donut again. Now use 3 cuts to get 10 pieces. Explain if necessary. [Think OUTSIDE the box donut.]
- Take away my first letter, I still sound the same
Take away my middle letter, I still sound the same
I am a five letter word. What am I? E ____ ____ ____ Y
You have 10 trees and have to plant 4 trees in each of the 5 lines. How will you plant them?
Put 8 Queens on a chessboard so they don’t attack each other. (The queen can move in all 8 directions.
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