For the following questions answer them individually
A covered a distance of 240 km at a certain speed. Had his speed been 8 km/h less, then the time taken would have been one hour more for covering the same distance. How much time (in hours) will he take to cover a distance of 480 km at his original speed?
If $$1 + 2\tan^{2}\theta+2\sin\theta\sec^{2}\theta=\frac{a}{b},0^\circ < \theta < 90^\circ$$, then $$\frac{a+b}{a-b}=$$?
A sum of money becomes ₹11,880 after 4 years and ₹17,820 after 6 years on compound interest, if the interest is compounded annually. What is the half of the sum (in ₹)?
The radius of a spherical balloon is inflated from 3.5 cm to 4.9 cm by pushing air into it. What is the percentage increase in the volume of the original balloon?
The numbers of students in section A and section B of a class are 50 and 62, respectively. The average score in mathematics of all the students is 75. If the average score of students in section A is 20% more than that of students in section B, then what is the average score of students in section A (correct to one decimal place)?
A solid metallic cuboid of dimensions 12 cm $$\times$$ 54 cm $$\times$$ 72 cm is melted and converted into 8 cubes of the same size. What is the sum of the lateral surface areas (in $$cm^{2}$$) of 2 such cubes?
ABCD is a quadrilateral in which AB $$\parallel$$ DC. E and F are the midpoints of the diagonals AC and BD, respectively. If AB = 18 cm and CD = 6 cm, EF = ?
A sum of ₹46,800 is divided among A, B, C and D in such a way that the ratio of the combined share of A and D to the combined share of B and C is 8 : 5. The ratio of the share of B to that of C is 5 : 4. A receives ₹18,400. If x is the difference between the shares of A and B and y is the difference between the shares of C and D, then what is the value of (x - y) (in ₹)?
A person marks an article 36% above the cost price and offers 30% discount on the marked price.
What is the loss or gain percentage?
