x and y are two rational numbers.

If x + y < 5 and 3 < x < 5 , which of the following values can y have

• 8/3

• 2

• 0

• 3

Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one third of each unshaded part.

What should be the degree measure of the angle formed at the centre by each shaded part?

•  $22.5^0$  
  

•  $20^0$  

•  $25^0$  

•  $30^0$  

In which figure will the set of lines meet at ONE single point if extended?

• 
• 
• 
• 

A tree sheds 15% of its leaves in a week and 10% of the remaining leaves in the next week. What percentage of the original number of leaves are on the tree then?

• 74%

• 76.5%

• 73%

• 70.25%

Sukhia, Babu and Ram are 3 farmers each having a small plot of land. Two of them have rectangular plots, and one has a square plot. Some more facts about their plots are:

Who has the square plot?

• Sukhia

• Babu

• Ram

• None of them

Latif's Maths teacher asks him to think of any whole number from 1 to 10. She then asks him to do the following:

1. Double this number.

2. Add 4 to the result.

3. Multiply the sum by 5.

If we call the number Latif thinks of N, the number he gets at the end will be

• (N + 2) × 10

• N + 4 × 2 × 5

• (N × 2) + (4 × 5)

• 10N + 4

Bablu has three sticks of lengths 3, 4 and 5 cm.

Ramesh has three sticks of lengths 3, 5 and 9 cm.

How many triangles can Bablu and Ramesh make with their sticks?

• Bablu: 1, Ramesh: 0

• Bablu: 2, Ramesh: 1

• Bablu: 1, Ramesh: 1

• Bablu: 0, Ramesh: 2

If the area of a circle of radius 7 cm is 154 sq cm, what is the area of the shaded portion of the figure shown below?

• 9 sq cm

• 10.5 sq cm

• 12.25 sq cm

• 16.5 sq cm

Identify the Mathematician

• Raman Parimala

• Mangala Narlikar

• Shakuntala Devi

• Sujatha Ramdorai

• 80%

• 90%

• 125%

• 150%