SAT (Stage-2) Mock Test

Result

SAT (Stage-2) Mock Test - 44

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Weekly Quiz Competition

Question 1
1 / -0

What is the value of sin²30° + cos²150° - tan²30°?

A
0

B
2/3

C
1

D
4/3

Solution
Question 2
1 / -0

If ABCD is a cyclic quadrilateral, what is the value of tan A + tan B + tan C + tan D?

A
2

B
1

C
0

D
-1

Solution

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
Question 3
1 / -0

Find the height of a triangle whose area is 25 cm² and base is 10 cm.

A
50 cm

B
7.5 cm

C
6 cm

D
5 cm

Solution

As we know, area of triangle = 1/2 × base × height
25 = 1/2 × 10 × h
50 = 10 × h
h = 5 cm.
Question 4
1 / -0

What is the length of diagonal of a cube whose lateral surface area is 108 m²?

A
3√3 m

B
2√3 m

C
9 m

D
27 m

Solution

Lateral surface area = 4 × a × a
108 = 4 × a × a

a = 3√3
Diagonal of the cube = √3a = √3 × 3√3 = 9 m
Question 5
1 / -0

The lateral surface area and height of a prism, whose base is an equilateral triangle, are 54 m² and √3 m, respectively. What is the area of the base of the pyramid?

A
27√3 m

B

C

D

Solution

Lateral surface area of a triangular prism = (a + b + c)h
For an equilateral triangle, a = b = c
Question 6
1 / -0

What is the measure of each interior angle of a polygon whose number of diagonals is 20?

A
150°

B
135°

C
110°

D
92°

Solution
Question 7
1 / -0

In the given figure, if PQ || AB, what is the value of 'a'?

A
4

B
3

C
2

D
1

Solution

As PQ is parallel to AB,

3a² + 21a = 4a² + 20a
i.e. 3a + 21 = 4a + 20
a = 1
Question 8
1 / -0

Any point on the line y = x is of the form

A
(a, a)

B
(0, a)

C
(a, 0)

D
(a, -a)

Solution

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.
Question 9
1 / -0

What is the area of the circle, the coordinates of the end points of whose diameter are

A
5π sq. units

B
10π sq. units

C

D
25π sq. units

Solution
Question 10
1 / -0

What is the interquartile range of the given data?

10, 6, 5, 2, 4, 7, 9, 1, 3, 8, 11

A
2

B
3

C
5

D
6

Solution

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
Question 11
1 / -0

Which is the most abundant factor of production?

A
Machinery

B
Business

C
Labour

D
Landlord

Solution

"Labour" is the most abundant factor of production because without labour you cannot produce anything.
Question 12
1 / -0

GDP is the total value of __________ produced during a particular year.

A
all final boxes and sources

B
all processes

C
all final goods and services

D
all goods

Solution

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))].
Question 13
1 / -0

Which one of the following countries has the highest per capita income?

A
India

B
Myanmar

C
Pakistan

D
Sri Lanka

Solution

Per Capita Income in US$:
Sri Lanka - 4390
India - 3139
Pakistan - 2225
Myanmar - 1027
Question 14
1 / -0

What does 'Green Revolution' mean?

A
Increase in the production of food grains

B
Building of greenhouses for all season production

C
Saving our forest resources

D
Increase in the production of green leafy vegetables

Solution

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.
Question 15
1 / -0

Higher rate of growth of economy certainly reduces the

A
gender inequalities

B
poverty

C
population of a country

D
flow of foreign direct investment

Solution

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.