Aryabhatta Ganit challenge

If a number is first multiplied by 4/7 and then divided by 12/7 then it is equivalent to which of the following operations on the number?

• Multiplying by 1/3

• Dividing by 1/3

• Multiplying by 3

• Dividing by 2/3

Tags

Conceptual understanding

If

A B C

+ C B A

= D E D D,

where A, B, C, D, E are distinct digits, what is the value of E

• 3

• 5

• 2

• 4

Tags

Logical reasoning

Sum of the odd numbers from 1 to 2019 both inclusive, is divisible by

• Only 100

• Only 101

• Both 100 and 101

• Neither by 100 nor by 101

Tags

conceptual understanding

A box of dimensions 40 x 35 x 28 units is used to keep smaller cuboidal boxes so that no space is left between the boxes. If the box is packed with 100 such smaller boxes of the same size, what are the dimensions of the smaller box?

• 8x8x7 units

• 8x7x7 units

• 7x8x9 units

• 20x7x7 units

Tags

Visualisation and Mathematisation

X is a 5-digit number. Let Y be the sum of the digits of X. Let Z be the sum of the digits of Y. What is the maximum possible value that Z can have?

• 9

• 8

• 10

• 12

Tags

Logical reasoning

The sequences 3, 20, 37, 54, 71, … and 16, 27, 38, 49, 60, 71, … each have 71 as a common term. The next term that these sequences have in common is

• 115

• 187

• 258

• 445

Tags

conceptual understanding

Find the remainder and the last digit of the quotient of

• 0, 3

• 3, 3

• 4, 3

• 0, 4

Tags

Problem solving

Look at the set of numbers {2,3,5,7,8,10,12}. Four numbers are selected from this and made into two pairs. The pairs are added and the resulting two numbers are multiplied. The smallest such product is

• 72

• 60

• 54

• 74

Tags

Logical reasoning

On Thursday night, 120 college students are drinking coffee at a local café. Each student drinks either cold coffee or black coffee. One third of the students are females and one fifth of the students drink black coffee. If 10 of the students are male and drink black coffee, how many female students drink cold coffee?

• 14

• 26

• 40

• 70

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Logical reasoning

The product of two integers is 36 and their sum is 13. What is the positive difference between the two numbers?

• 1

• 4

• 5

• 7

Tags

problem solving