For the following questions answer them individually
Find the value of the following.
$$\frac{\sin 67^{\circ} \cos 37^{\circ} - \sin 37^{\circ} \cos 67^{\circ}}{\cos 13^{\circ} \cos 17^{\circ} - \sin 13^{\circ} \sin 17^{\circ}}$$
The pie-chart below represents the number of hours as percent of 24 hours of a day, spent on different activities by a student, Study the pie chart and answer the question that follows.
How many hours per day does the student spend in school ?
The radius of a solid metallic sphere is equal to 15 cm. It is melted and drawn into a long wire of radius 15 mm having uniform cross-section. Find the length of the wire.
If a tradesman marks his goods 25% above the cost price and allows his customers a 12% reduction on their bill, then the percentage profit he makes is ______.
If $$b^{2}-4b-1=0$$, then find the value of $$b^{2} + \frac{1}{b^{2}}+ 3b - \frac{3}{b}$$
In 2017, Deepika Reddy got the Sangeet Natak Akademi Awards 2017 for her contribution in the field of ____________ dance.
Which of the following is the autobiography of Dr. Manmohan Singh, the ex-Prime Minister of India?
Which of the following is the autobiography of the first female judge of India, Anna Chandy?
In 2020,VP Dhananjayan and Shanta Dhananjayan were honoured with Sri Shanmukh ananda National Eminence Award in the field of ______.