A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?

Find the sum of the first 12 terms of the arithmetic series where the first term a1 is 3 and the common difference d is 5.

If log 2 = 0.3010 and log 3= 0.4771 , find the value of log 4.5

If θ = 45°, then what is the value of 3 sec2θ + 2 cosec2θ ?

If A is a square matrix of order 3 and |A|= 5, then the value of |2A’|is :-

A line segment has ___

A line that touches the curve at a single point is called:

Find the equation of the straight line through (4,-1) that is parallel to the line with equation 2x + y = 5 (D2D)

A shopkeeper buys an article for ₹800 and sells it for ₹960. What is the profit percentage?

A and B can complete a work in 12 days and 18 days, respectively. How many days will they take together to complete the work?

A car travels at a speed of 60 km/h. How much time will it take to cover 240 km?

A pipe can fill a tank in 6 hours, while another pipe can empty it in 8 hours. If both pipes are opened together, in how much time will the tank be filled?

Find the equation of the tangent to the circle x²+y²=25 at the point (3, 4).

How many different ways can the letters of the word "APPLE" be arranged?

How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if no digit is repeated?