If cos²θ - sin θ = 1/4, then what is the value of sin θ?

• -1

• 1/2

• 1

• 3/2

The table below shows the number of students of a college studying Arts, Science, Commerce and Business for given 5 years.

What is the percentage increase in number of students of Commerce from 2012 to 2016?

• 11.16%

• 17.28%

• 13.51%

• 15.67%

The table below shows the number of students of a college studying Arts, Science, Commerce and Business for given 5 years.

What is the simple annual growth rate (in %) of the number of students of Business from 2012 to 2016?

• 10%

• 12.5%

• 15%

• 17.5%

The table below shows the number of students of a college studying Arts, Science, Commerce and Business for given 5 years.

What is the ratio of average number of students studying Arts per year and average number of students studying Science per year?

• 169 : 331

• 66 : 169

• 127 : 261

• 32 : 75

75.

The table below shows the number of students of a college studying Arts, Science, Commerce and Business for given 5 years.

Year	Art	Science	Commerce	Business
2012	48	105	148	32
2013	56	123	136	30
2014	64	125	144	36
2015	78	148	156	36
2016	92	161	168	48

Which year shows the maximum percentage increase in the total number of students in these 4 subjects over the previous year?

• 2013

• 2014

• 2015

• 2016