Question
Find the rise in water level when a solid is submerged
A solid is in the shape of a hemisphere of radius 7 cm, surmounted by a cone of height 4 cm. The…
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Question
Find the original speed from a time difference
A man covers a distance of 100 km, travelling with a uniform speed of x km/hr. Had the speed been 5 km/hr…
Question
Find probabilities for multiples squares and primes from numbered cards
A bag contains 25 cards numbered from 1 to 25. A card is drawn at random. Find the probability that the number…
Question
Use section formula and find a perpendicular line through a point
A and B are two points on the x-axis and y-axis respectively, as shown in the figure. (a) Write down the coordinates…
Question
Find the first term common difference and sum of an arithmetic progression
The 5th term and the 9th term of an Arithmetic Progression are 4 and −12 respectively. Find: (a) the first term (b)…
Question
Draw a histogram and find the mode of the wage distribution
The following distribution gives the daily wages of 60 workers of a factory: Daily income (₹) Number of workers 200–300 6 300–400…
Question
Prove triangle similarity and find DE and DB to AB
In the given figure, AC ∥ DE ∥ BF. If AC = 24 cm, EG = 8 cm, GB = 16 cm…
Question
Solve a compound inequation and represent it on the number line
Solve the following inequation. Write down the solution set and represent it on the real number line. − 5(x − 9) ≥…
Question
Calculate total GST and bill amount for two articles
Mrs. Arora bought the following articles from a departmental store: S.No. Item Price Rate of GST Discount 1 Hair oil ₹1200 18%…
Question
Find tangent length and angles in the given circle
In the given figure, O is the centre of the circle. PQ is a tangent to the circle at T. Chord AB…