Number Systems

Column 1

100

A new bakery startup is counting its daily production of cupcakes. They baked batches of 15 cupcakes each, and at the end of the day, they have 7 full batches remaining. What is the total number of cupcakes they baked today?

105

200

Starting with zero revenue,  ₹100 is your total revenue if you make 5 sales of ₹20 each. How many sales will be done to earn revenue of  ₹1200?

60

300

A rational number p/q (in simplest form) has a decimal expansion that terminates after exactly two decimal places. What is the smallest possible positive integer value for q?

100

400

A basic calculator for young children processes 5 Natural Number calculations per second. If it tried to process calculations involving all Real Numbers, its speed would decrease by 40% due to the added complexity. What would be the processing speed (in calculations per second) for Real Number calculations?

Answer is 3 

{(5 - (0.40 * 5) = 5 - 2 = 3}

500

If x=0.27272727...., then x in the form p/q is ____. (standard form)

3/11

Column 2

100

: A student-run stationery shop is organizing its stock of pens. They have boxes containing 12 pens each. If they have 5 full boxes and an additional 7 loose pens, what is the total number of pens in stock?

67

200

If a and b are irrational, then a−b must be irrational. (True/False)

False

300

If x³ is rational, then x must also be rational (True/False)

False

400

What is the result when (2+number whose square is 3) is multiplied by (2−number whose square is 3)?

1

500

Arrange the following in ascending order: 1/3, 0.3, and a number whose square is 0.1.

0.3, a number whose square is 0.1,1/3

Column 3

100

A group of friends is starting a car-washing service. They decide to charge ₹50 per car. If they washed 11 cars on Saturday and 9 cars on Sunday, what was their total earnings in rupees for the weekend?

1000

200

The set of all non-negative integers is called the ____ numbers.

Whole Numbers

300

A mobile game uses a scoring system. If the initial score range using only Natural Numbers is 1 to 100, and by introducing Integers, the score can now range from -50 to 150, what is the total increase in the possible score values?

100

400

A non-zero rational number is multiplied by a number whose square is 7. Is the result rational or irrational?

Irrational

500

• Suppose a rational number has a decimal expansion that is non-terminating and repeating, and the repeating block has a length of 'n' digits. What is the maximum possible value of 'n' if the denominator of the fraction in its simplest form is a prime number 'p'? (Assume p not=2 and p not=5).

n=p-1

Column 4

100

A budding event management team is planning seating for an event. They want to arrange chairs in rows of 15. If they have 180 chairs in total, how many full rows can they create?

12

200

The product of a non-zero rational number and an irrational number is always ____.

Irrational Number

300

There are more irrational numbers than rational numbers on the number line. (True/False)

True

400

The fraction a/b (in simplest form) has a decimal expansion that terminates. What can you say about the prime factors of b?

The prime factors of b can only be 2 and/or 5.

500

Arrange the following in ascending order: 2/7, a number whose square is 1/4, and a number whose square is 1/5.

A number whose square is 1/5, a number whose square is 1/4,2/7