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If x^2, b^2, y^2 are in AP, a, x, b and b, y, c both are in GP, prove that a, b, c are in AP.

If a, b, c be in AP, b, c, d be in GP and c, d, e be in HP, prove that a, c, e are in GP.

If GM and HM between two positive numbers a and b are such that GM=5/4 HM, prove that a:b=4:1.

A person took a loan of Rs. 350000 for two years at the rate of 10% annual compound interest. To reduce interest and the loan partly he/she paid Rs. 200000 at the end of first year.a) a) Now,...

The total cost of 5 kg orange and 3 kg apple is Rs. 1100. If the rate of orange decreases by 20% and the rate of apple increases by 5%, the total cost of 3 kg orange and 3 kg apple will be Rs. 870....

If the diagonals AC and BD of a quadrilateral ABCD intersect at O and separate the quadrilateral ABCD into four triangles of equal area, show that the quadrilateral is a parallelogram.

A bus was started at 9 PM from Kathmandu to Pokhara at the speed of 40 km/hr. An hour later another bus was also started at the speed of 60 km/hr to Pokhara. At what time will they meet?