SAT (Stage-2) Mock Test - 11

sin²30 = 1/4
cos²150 = 3/4
tan²30 = 1/3
1/4+3/4 - 1/3 = 1 - 1/3 = 2/3

For a cyclic quadrilateral, ∠A +∠C = 180° and ∠B +∠D = 180°
So, tanA + tanB + tanC + tanD = tan(180° - C) + tan(180° - D) + tanC + tanD
= tan{(90° × 2) - C} + tan{(90° × 2) - D} + tanC + tanD
= -tanC - tanD + tanC + tanD
= 0

As we know, Area of triangle = 1/2 × base × height
25 = 1/2 × 10 × h
50 = 10 ×  h
h = 5 cm

Lateral surface area = 4 x a x a
108 = 4 x a x a
a = 3√3
Diagonal of the cube = √3a = √3 x 3√3 = 9 m

Number of diagonals of a polygon = n(n-3)/2; where, n = number of sides.
20 = n(n-3)/2
n² - 3n - 40 = 0
n = 8 or -5
As n cannot be negative, n = 8

Eight-sided shape is always an octagon.
Sum of interior angles of an octagon = 1080⁰
Each angle = 1080/8 = 135⁰

The equation x = y implies that values of x and y are equal. Hence, out of the given options, only the first option satisfies the given condition.

Arrange the given date in ascending order.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
Median = 6
Q₁ = 3 and Q₃ = 9
Interquartile range = Q₃ - Q₁ = 9 - 3 = 6

"Labour" is the most abundant factor of production because without labour you cannot produce anything.

GDP is the total value of all final goods and services produced during a particular year. GDP is the market value of all final goods and services within a nation or country in a year. It can also be defined as it is equal to the total expenditure incurred for all 'final goods and services' produced within a country.
GDP = [Consumption (C) + Gross Investment (I) + Government spending (G) + (Export(X) - Import (M))].

Per Capita Income in US$:
Sri Lanka - 4390
India - 3139
Pakistan - 2225
Myanmar - 1027

Green Revolution means increase in the production of food grains. The Indian state of Punjab pioneered Green Revolution among the other states, transforming India into a food-surplus country.

When poor countries grow rapidly, as China and India have in recent decades, poverty tends to decline rapidly, as poor people take advantage of the opportunities that growth creates. On average, the incomes of poor households grow at about the same rate as those of the non-poor.