Question
Consider the following statements regarding economic
survey 2022-23: 1. Reserve Bank of India publishes two Housing Price Indices with FY18 as the base year. 2. All of the eight major metros of the country recorded increases in the index on an annual basis. 3. It is calculated for 50 cities across India using the population of the cities as weights. Which of the statements given above is/are correct?Solution
Housing Prices: Recovering Housing Sector After the Pandemic Housing prices provide helpful information on the state of the economy via booms and busts in asset markets, which give rise to economic imbalances. Monitoring housing prices is essential for achieving the objectives of price stability, financial stability, and growth. Movements in these prices affect consumption spending through its effects on household wealth and consumer confidence. The National Housing Bank (NHB) publishes two Housing Price Indices (HPI), namely ‘HPI assessment price’ and ‘HPI market price quarterly’, with FY18 as the base year. Hence, statement 1 is not correct. HPI assessment price is based on the valuation prices of residential units collected from primary lending institutions. In contrast, the HPI market price is based on the market prices for unsold inventories collected from developers. A composite index is calculated for 50 cities across India using the population of the cities as weights. Out of the 50 cities, 43 saw an increase in the index, whereas 7 cities showed a decline annually. All of the eight major metros of the country, viz., Ahmedabad, Bengaluru, Chennai, Delhi, Hyderabad, Kolkata, Mumbai and Pune, recorded increases in the index on an annual basis. Hence, statement 2 is correct.
In a right-angled triangle, the hypotenuse is 20 cm, and one of the legs is 12 cm. Find the area of the triangle.
- Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12√3 cm.
What is the inradius of an equilateral triangle whose vertical height measures 12√3 cm?
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
In a right triangle, if the altitude drawn to the hypotenuse divides the triangle into two triangles of equal area, what is the value of the smallest an...
- The base of a triangle is 14.8 cm, and the corresponding altitude is 20.2 cm. What is its area?
In an equilateral triangle, the length of the side is 18 cm. A circle is inscribed in the triangle. Find the radius of the circle.
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
- An equilateral triangle has an altitude of 21√3 cm. Calculate the radius of its incircle.
If two triangles PQR and STU are congruent, then which of the following statement(s) is/are true?
I. PQ = ST
II. ∠PQR = ∠STU