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Which of the following is equivalent to the trigonometric expression given below?
{sin x × (1 + cos x)}/(1 + cos x - cos2 x - cos3 x)
If b + 1/b = 4, find the value of (b3 + 1/b3) - 4.
If x + 1/x = √3, find the value of x24 + x36 + x6 + 3.
B purchased 15 kg apples at the rate of ₹180 per kg from a wholesaler who uses a weight of 950 grams for the kg weight. B sold all these apples at ₹180 per kg but used a weight of 750 grams for the kg weight. Find the percentage profit earned by B in the transaction (correct to 2 places of decimal).
If 30% of x is equal to 5 times of 20% of y. Find the value of x : y.
Evaluate:
20% of 300 - {40 ÷ 1/(2)-1}[5.64 + 0.36]2
When a number is divided by 7, it leaves 1 as the remainder. When the cube of this number is divided by 7, what will be the remainder?
In a group of 7 people of average weight 55 kg, one person is removed from weight X, and a new person of weight Y is added then the average becomes 58 kg.
What is the absolute difference between X and Y?
A boat goes 60 km upstream in 4 hours and 45 km downstream in 1.5 hours in a river. What is the speed of the boat in still water?
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