For the following questions answer them individually
The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.
What is the ratio of the number of cars passed between 6 am and 8 am to the number of cars passed between 9 am and 11 am?
The given histogram represents the marks of students in Mathematics test of a certain class.
The total number of students is 350.
Study the graph and answer the question that follows .
What is the ratio of the total number of students who scored 140 marks and above to the total number of students who scored marks between 60 to 120?
AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If $$\angle APC = 62^{\circ}$$, then find the measure of the minor arc AC.
A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between ihe interest at the end of 2 years and that at the end of 4 years is ₹5,082. Find the sum (in ₹).
The lengths of the three sides of a right-angled triangle are (x - 1) cm, (x - 1) cm and (x + 3} cm, respectively. The hypotenuse of the right-angled triangle (in cm) is:
The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 : 11. If both of them manage to save ₹4,000 per month, then find the difference in their incomes (in ₹).
In a $$\triangle$$ ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If $$\angle BAC = 75^{\circ}$$, what is the measure of $$\angle$$ PQR (in degrees)?
Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam'. A total of 90 students failed. Find the number of students that appeared for the exam.
If (x + 6y) = 8, and xy = 2, where x > O, what is the value of $$\left(x^{3} + 216y^{3}\right)$$?