CUET UG - 2022 General Test

Sandhu was announced Miss Universe 2021 by host Steve Harvey and crowned by the outgoing titleholder Andrea Meza of Mexico.

If each side of a cube is reduced by 50%, it means that the new length of each side will be 50% of the original length.
In other words, the new length will be half of the original length.
Let's assume the original length of each side of the cube is "x"
After reducing each side by 50%, the new length of each side will be 0.5x
The surface area of a cube is given by the formula: 6 × (side length)²
The original surface area of the cube is:
A1 = 6 × x²
The new surface area of the cube after reducing each side by 50% is:
A2 = 6 × (0.5x)² = 6 × (0.25x²) = 1.5x²
To calculate the reduction in surface area, we can compare the original surface area to the new surface area:
Reduction in surface area = (A1 - A2)/A1 × 100%
Substituting the values:
Reduction in surface area = (6x² - 1.5x²)/6x² × 100%
Reduction in surface area = (4.5x²)/6x² × 100%
Reduction in surface area = 0.75 × 100%
Reduction in surface area = 75%
Therefore, if each side of a cube is reduced by 50%, the surface area will be reduced by 75%.

To find the value of 3 * 4 using the given operation, we substitute
a = 3 and b = 4 into the expression 3a – 4b:
3 * 4 = 3(3) – 4(4)
= 9 – 16
= – 7

Logic: Positional value of alphabets are increased by 2.
TRIANGLE is written as VTKCPING
So, RECTANGLE will be written as
Hence, the correct answer is "TGEVCPING".

(a) Logic: "+" is moving to the corners in anti clock wise direction.
Shaded dot is changing in to blank dot alternatively and moving from inside to outside on the diagonal line, which is also moving alternatively.
So, the next image will be

Let's assume the two numbers in the ratio 7:10 are 7x and 10x, where x is the common ratio.
According to the given information, the sum of the numbers is 119:
7x + 10x = 119
Combining like terms:
17x = 119
To find the value of x, we divide both sides of the equation by 17:
x = 119 / 17
x = 7
Now, we can find the actual values of the numbers:
First number = 7x = 7 * 7 = 49
Second number = 10x = 10 * 7 = 70
The difference between the two numbers is:
70 - 49 = 21
Therefore, the difference of the numbers is 21.

General Bipin Rawat was the first Chief of Defence Staff.

∠CAB = 40°, ∠BDC = x°
In rhombus ABCD, all sides are equal.
Sum of adjacent angles of rhombus are equal to 180°
∠D = 2 × ∠BDC = 2x [Diagonals bisect the angles in rhombus]
∠A = 2 × ∠CAB = 2 × 40 = 80°
Now, ∠A + ∠D = 180°
80° + 2x = 180°
x = 100/2 = 50°

The series follows the rule:
1³ + 1, 2³ + 1, 3³ + 1, 4³ + 1
So the term in place of is 5³ + 1 is 125 + 1 = 126

Javelin Throw

To determine the pattern in the given series and find the missing term, let's examine the relationship between the terms:
The series appears to consist of alternating letters and numbers.
The letters follow the pattern of increasing by 2 (A, C, E, G), while the numbers increase by 3 (2, 5, 8, 11)
Using this pattern, we can find the missing term:
The next letter should be "I" (G + 2)
The next number should be 14 (11 + 3)
Therefore, the missing term in the series is "I14"

National Bank for Agriculture and Rural Development.

A-II, B-III, C-IV, D-I

A-IV, B-III, C-II, D-I

Hence, there are number of triangle is 10.

The Estimates Committee has 30 members and all these members are from Lok Sabha(Lower House). There is no representation from Rajya Sabha (Upper House).

It will be a top priority to bring these children back into the educational fold as early as possible, and to prevent further students from dropping out, with a goal to achieve 100% Gross Enrolment Ratio in preschool to secondary level by 2030.

Sum of interior angles of a triangle = 180°
∠ABC = 180° – 120° = 60°
∠ACB = 180° – ∠A – ∠ABC
∠ACB = 180° – 70° – 60° = 50°
∠x = ∠ACB [Corresponding angles]
∠x = 50°

5th June is celebrated as World Environment Day for encouraging worldwide awareness and action to protect our environment.

To find the code for "BIRD" using the pattern provided, we need to assign a numerical value to each letter of the alphabet (e.g., A=1, B=2, C=3, and so on) and then sum up the values for each letter in the word.
D + O + G = 26
F + L + Y = 43
Now, let's calculate the code for "BIRD"
B + I + R + D = ?
B = 2, I = 9, R = 18, D = 4
Adding these values together: 2 + 9 + 18 + 4 = 33
So, the code for "BIRD" would be 33.

The two smaller circles Father and Mother are entirely contained within the larger circle Family.

The Dead Sea is landlocked and in the lowest valley on earth. All the minerals of the surrounding countryside get washed into one pool, which in turn gets baked by the sun. This concentrates the salts so much that the Dead Sea is 10 times as salty as the ocean.

To determine the percent by which consumption should be reduced so that the expense remains the same after a 25% increase in sugar price, we can set up a proportion.
Let's assume the original price of sugar is 100 units (you can use any value as the base, as the percentage change will remain the same).
After a 25% increase in price, the new price of sugar will be 100 + (25% of 100) = 100 + 25 = 125 units.
Now, let's assume the original consumption of sugar is "x" units.
The original expense is the price multiplied by the consumption:
Expense = Price × Consumption = 100 × x = 100x
To keep the expense the same after the price increase, the new consumption should be reduced.
Let's assume the new consumption is "y" units.
The new expense is the new price multiplied by the new consumption:
Expense = New Price × New Consumption = 125 × y = 125y
Since we want the new expense to be equal to the original expense, we set up the equation:
100x = 125y
Now, let's solve for y to find the new consumption:
y = (100x)/125
y = 4x/5
To determine the percentage change in consumption, we calculate the
difference between the original consumption (x) and the new consumption
(y), divide it by the original consumption (x), and multiply by 100:
Percentage Change in Consumption = [(x - y)/x] × 100
Percentage Change in Consumption = [(x - 4x/5)/x] × 100
Percentage Change in Consumption = [(x/5)/x] × 100
Percentage Change in Consumption = (1/5) × 100
Percentage Change in Consumption = 20%
Therefore, consumption should be reduced by 20% to keep the expense the same after a 25% increase in sugar price.

Let's assume Mohan's age as "x" years.
According to the given information, Mohan's mother is three times as old as Mohan, so her age would be 3x years.
After 6 years, Mohan's age will be x + 6, and his mother's age will be 3x + 6
The problem states that after 6 years, his mother will be two times as old as Mohan will be at that time.
Mathematically, we can express this as:
3x + 6 = 2(x + 6)
Now, let's solve this equation to find the value of x, which represents
Mohan's current age:
3x + 6 = 2x + 12
Subtracting 2x from both sides:
3x - 2x + 6 = 12
Simplifying:
x + 6 = 12
Subtracting 6 from both sides:
x = 6
Therefore, Mohan is currently 6 years old.

The Human Development Report (HDR) is an annual Human Development Index report published by the Human Development Report Office of the United Nations Development Programme (UNDP).

Penicillium is well known and one of the most common fungi occurring in a diverse range of habitats, from soil to vegetation to air, indoor environments and various food products. It has a worldwide distribution and a large economic impact on human life.

In a row of 35 students Ramesh is 24th from starting

Ramesh position from last = (35 - 24) = 12th
If two persons from last went away, that means total student will reduce to 33.
Now Ramesh position from last = 33 – 24 + 1 = 10th
Hence, 10th is the correct answer.

Service - Industry - Agriculture

A-I, B-III, C-IV, D-II

Constitution Amendment Bills have to be passed in each House of Parliament by a special majority i.e. by a majority of the total membership of that House and by a majority of not less than two-thirds of the members of the House “present and voting”.

To find the average of the first 8 multiples of 8, we can list out the multiples and calculate their sum.
The first 8 multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64
To calculate the average, we sum up these numbers and divide by the count, which is 8 in this case:
Average = (8 + 16 + 24 + 32 + 40 + 48 + 56 + 64)/8
Calculating the sum:
Average = 288/8
Dividing the sum by 8:
Average = 36
Therefore, the average of the first 8 multiples of 8 is 36.

The boiling point is the temperature at which the vapour pressure of the liquid equals the environmental pressure surrounding the liquid. Atmospheric pressure is due to air above any given point. The atmospheric pressure at high altitudes like hill station is less than at the sea level. Thus, vapour pressure will equal atmospheric pressure at a comparatively low temperature. Thus, the boiling point of water is reduced less than at sea level

Rectangular width = 8 cm, length = 22 cm
After rolled cylinder form - H = 8 cm and Circumference = 22 cm
2 πr = 22 cm
2 × 22/7 × r = 22
r = 7/2 cm

The correct answer is A

Rectangular width = 8 cm, length = 22 cm
After rolled cylinder form – H = 8 cm and Circumference = 22 cm
2 πr = 22 cm
2 × 22/7 × r = 22
r = 7/2 cm
The volume of the cylinder = πr²h = 7/2 × 7/2 × 8 × π = 98 π cm³

The correct answer is D

The headquarters of RBI is in Mumbai, Maharashtra, India. RBI has its branches in all the state capitals.

This Commission will be headed by Shri. N.K. Singh, former Member of Parliament and former Secretary to the Government of India.

WHO is located in Geneva, Switzerland.

The relationship between "Samsung" and "mobile" is that Samsung is a brand known for manufacturing mobile phones. Following the same pattern, "Action" is related to "Movie" because "Action" is a genre of movies.

The Mariana Trench is an oceanic trench located in the western Pacific Ocean.

Since 25 + (–29) + 4 = 0
We can use the formula:
Since a + b + c = 0
Then, a³ + b³ + c³ = 3abc
Therefore, (25)³ + (–29)³ + (4)³
= 3 × 25 × (–29) × 4 = – 8700

Area of trapezium = 48
Sum of trapezium sides = 48
Area of trapezium = 1/2 × Area of trapezium × h
48 = 48 × 1/2 × h
h = 2 cm

1 TB = 1024 GB (Approximately)

M1 = 36
D1 = 12
W1 = 50% = 1/2
M2 = 72
D2 = x days
W2 = 50% = 1/2
M1 × D1 = M2 × D2
(36 × 12)/(1/2) = 72 × x
x = 864/72 = 12 days

Sarojini Chattopadhyay Naidu was a key figure during India's independence struggle. Her work as a poet earned her the title of 'Nightingle of India' from Mahatma Gandhi.

The Non-Cooperation Movement was called off by Gandhi ji after the incident of Chauri Chaura in Uttar Pradesh.

Total Discount = 50 + 50 – 2500/100 = 75% MRP = 800
SP = 800 × 25/100 = 200

Karina's statement implies that the man's mother is Karina's mother's only daughter. Therefore, the man's mother is Karina herself. So, Karina is the man's mother. Thus, the man in the photograph is Karina's son.

Distance = 180 m, time = 9 sec
Speed = 180/9 = 20 m/sec
20 × 18/5 km/h = 72 km/h

The correct answer is C

4 pen + 6 notebook = 800
2(2 pen + 3 notebook) = 800
(2 pen + 3 notebook) = 400 … (1)
Then eq. (1) multiply by 3
6 pen + 9 notebook = 1200

a = 2.7, b = 2.2
(a – b) (a² + ab + b²)/(a² + ab + b²) = a – b
= 2.7 – 2.2 = 0.5

EVM stands for Electronic Voting Machines.

An atoll is a ring-shaped coral reef, island, or series of islets. An atoll surrounds a body of water called a lagoon.

AC = 25m, BC = 7m
Height AB = AC – BC = 25 – 7 = 18 m
Base BF = 10 m
Area of triangle ABF = 1/2 × base × h
= 1/2 × 18 × 10 = 90 m²

Area of trapezium = 1/2 × sum of parallel sides × h
Sum of parallel sides = 15 + 5 = 20 m
H = 25 – 12 = 13 m
Area = 1/2 × 20 × 13 = 130 m²

Area of triangle AFC = ½ × 25 × 10 = 125 m²

The 18th G20 Summit will be conducted by New Delhi, India during 9-10 September, 2023.

80 × 60/100 = 96 × x/100
x = 50

By using Pythagoras theorem, distance of Sunit from initial point

At the pole, the weight of the body is maximum, whereas, at the equator, it is minimum.

The correct answer is D.

Retired British Indian Civil Service (ICS) officer Allan Octavian Hume founded the Indian National Congress in order to form a platform for civil and political dialogue among educated Indians.

The correct answer is A.

The correct answer is A.

The correct answer is C.

The correct answer is B