RRC Group D Previous Year Paper 44 (Held On: 4 Dec 2018 Shift 2)

Shortcut Trick

In same direction, Distance (Length of train) = Relative Speed × Time.

L = (V − 4.8) × 10.8 = (V − 6.6) × 11.4

⇒ 10.8V − 51.84 = 11.4V − 75.24

⇒ 0.6V = 23.4

⇒ V = 23.4 ÷ 0.6 = 39

∴ The correct answer is 39.0 km/h.

Alternate Method

Given: Speed of first person (S₁) = 4.8 km/h, Time (T₁) = 10.8 s. Speed of second person (S₂) = 6.6 km/h, Time (T₂) = 11.4 s.

Formula: Distance = Relative Speed × Time

⇒ Let Speed of Train be V km/h.

⇒ (V − 4.8) × (5/18) × 10.8 = (V − 6.6) × (5/18) × 11.4

⇒ (V − 4.8) × 10.8 = (V − 6.6) × 11.4

⇒ 10.8V − 51.84 = 11.4V − 75.24

⇒ 11.4V − 10.8V = 75.24 − 51.84

⇒ 0.6V = 23.4

⇒ V = 234 ÷ 6 = 39

∴ The correct answer is 39.0 km/h.

Additional Information

Relative Speed Concept

When two objects move in the same direction, relative speed = S₁ − S₂. When they move in opposite directions, relative speed = S₁ + S₂.

Unit Conversion

To convert km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.

Train Crossing Person

When a train crosses a stationary or moving person, the distance covered is equal to the length of the train.

Given,

126, 132, 142, 148, ___

The pattern followed here is,

126 + 6 = 132

132 + 10 = 142

142 + 6 = 148

148 + 10 = 158

Hence, the correct answer is 158.

The correct answer is Shimla.

Key Points

• Sir John Lawrence officially declared Simla the summer capital of the British empire in 1864.
• After independence, the city became the capital of Punjab and was later made the capital of Himachal Pradesh.
• During the British Raj, until 1911, Calcutta was the capital of India.

Additional Information

• King George V proclaimed the transfer of the capital from Calcutta to Delhi at the climax of the 1911 Imperial Durbar on 12 December 1911.
• Now Shimla is the summer capital of Himachal Pradesh.
• Dharamshala is the winter capital of Himachal Pradesh.
• Dalhousie is a high-altitude town spread across 5 hills of Himachal Pradesh.
• Ooty (short for Udhagamandalam) is a resort town in the Western Ghats mountains, in Tamil Nadu state.
• Darjeeling is a town in India's West Bengal state, in the Himalayan foothills.

The correct answer is Time.

Key Points

There are three equations of motion that can be used to derive components such as displacement(s), velocity (initial and final), time(t), and acceleration(a).

The following are the three equation of motion:

• First Equation of Motion: v=u+at
• Second Equation of Motion: s=ut+${1 \over 2}$at²
• Third Equation of Motion: v²=u²+2as
  

Where the initial velocity is u, acceleration is denoted as a, the time period is denoted as t, the final velocity is denoted as v, and the distance traveled is denoted as s.

Additional Information

Newton's 2nd law states that the rate of change of a body’s momentum—the product of its mass and velocity—is proportional to the force applied, and takes place in the direction of the applied force.

 

Sir Isaac Newton has given three laws to describe the motion of an object. These laws are known as Newton's laws of motion.

1. NEWTON'S FIRST LAW OF MOTION:-

• A body that continues to its state of rest will remain in uniform speed in a straight line unless and until it is compelled by an external force to change its state of rest or of uniform motion.
• Newton's first law recognizes that everybody has some inertia.
• Inertia is an intrinsic property of the body by the virtue of which it resists a change in its state of rest or of uniform motion.

<br>

2. NEWTON'S SECOND LAW OF MOTION:-

• The net force applied to a body is equal to the rate of change of momentum.
• For the case of mass, force equals mass times acceleration.
• i.e. F = ma

<br>

Where,

• F = force applied
• m = mass and
• a = acceleration.
• Unlike Newton’s first law of motion, Newton's second law of motion pertains to the behavior of objects for which all existing forces are unbalanced.
• Newton's second law of motion is more quantitative and is used extensively to calculate what happens in situations involving a force.

<br>

3. NEWTON'S THIRD LAW OF MOTION:-

• It states that to every action there will be an equal and opposite reaction.
• i.e. “when one object exerts a force on the other object, the first object experiences a force which is equal in magnitude in the opposite direction of the force which is exerted”.

<br>

Explanation:-

• According to Newton’s second law of motion:
• The rate of change in momentum of an object as produced by a net force is directly proportional
• to the magnitude of the net force, in the same direction as the net applied force.
• For example-
• Suppose an object of mass M, moving along a straight line with an initial velocity u. After a certain time t, it moves with a constant acceleration and the final velocity becomes v.
• So, the initial momentum is given as-
• pi = M × u
• Similarly, the final momentum
• pf = M × v
• The change in momentum is
• pf – pi = (M × v) – (M × u)
• pf – pi = M (v – u)
• The rate of change of momentum with respect to time is proportional to the applied force.
• The applied force is
• F ∝ M (v – u)/t  or F ∝ M × a
• a = (v – u)/t = Rate of change of velocity/Time
• F = k × m × a
• k = proportionality constant.
• Therefore, from the second law of motion, we can say that force is the product of mass and acceleration
• i.e F = ma or rate of change of momentum($\frac{\mathrm{d} p}{\mathrm{d} t}=m\frac{\mathrm{d} v}{\mathrm{d} t}$).

 

Shortcut Trick

Identify Pythagorean Triplets for a hypotenuse of 73.

Triplet 1: 48² + x² = 73² ⇒ x = √(5329 − 2304) = √3025 = 55.

Triplet 2: 55² + y² = 73² ⇒ y = √(5329 − 3025) = √2304 = 48.

Total width = x + y = 55 + 48 = 103.

∴ The correct answer is 103 ft.

Alternate Method

Given:

Height of first window (h₁) = 48 ft

Height of second window (h₂) = 55 ft

Length of ladder (L) = 73 ft

Formula Used:

Pythagoras Theorem: Base² + Height² = Hypotenuse²

Calculations:

⇒ Let distance from first wall to ladder base be x.

⇒ x² + 48² = 73²

⇒ x² = 5329 − 2304 = 3025

⇒ x = √3025 = 55 ft

⇒ Let distance from second wall to ladder base be y.

⇒ y² + 55² = 73²

⇒ y² = 5329 − 3025 = 2304

⇒ y = √2304 = 48 ft

⇒ Width of the street = x + y = 55 + 48 = 103 ft

∴ The correct answer is 103 ft.

Additional Information

Pythagorean Triplets

Sets of three positive integers a, b, and c such that a² + b² = c². Common triplets include (3,4,5), (5,12,13), (7,24,25), (8,15,17), (48, 55, 73).

Right-Angled Triangle Area

Area = (1/2) × base × height. In this problem, the ladder acts as the hypotenuse for two triangles.

Calculation Shortcut

Use a² − b² = (a − b)(a + b) for quick subtraction of squares: 73² − 48² = (73 − 48)(73 + 48) = 25 × 121 = 3025.

Shortcut Trick

For a proportion a : b :: c : d, the property ad = bc must hold true.

From Statement 1, p × 1000 = p² × p² ⇒ 1000p = p⁴ ⇒ p³ = 1000, which gives p = 10.

From Statement 2, the equation is (p + n)² = 21, which has two variables and cannot provide a unique value for p.

Since a unique value is found only from the first condition, Statement 1 alone is enough.

∴ The correct answer is Only 1 is sufficient.

Alternate Method

Given:

Statement 1: p : p² :: p² : 1000

Statement 2: p² + 2pn + n² = 21

Formula Used:

Product of Extremes = Product of Means

Algebraic Identity: (a + b)² = a² + 2ab + b²

Calculations:

Step 1: Check Statement 1

⇒ p ÷ p² = p² ÷ 1000

⇒ 1000 × p = p² × p²

⇒ 1000p = p⁴

⇒ p³ = 1000

⇒ p = √³1000 = 10

Since we obtained a unique value, Statement 1 is sufficient.

Step 2: Check Statement 2

⇒ p² + 2pn + n² = 21

⇒ (p + n)² = 21

⇒ p + n = √21 or p + n = −√21

Since there are two unknown variables (p and n) in one equation, a unique value for p cannot be determined. Thus, Statement 2 is not sufficient.

∴ The correct answer is Only 1 is sufficient.

Additional Information

Continued Proportion

Three numbers a, b, and c are in continued proportion if a : b :: b : c, which implies b² = ac, where b is the mean proportional.

Data Sufficiency Rules

To solve for 'n' distinct variables, at least 'n' independent linear equations are required. A single equation with two variables generally yields infinite solutions.

Properties of Ratios

Ratios remain unchanged if both the numerator and denominator are multiplied or divided by the same non-zero number.

Shortcut Trick

Combined Efficiency of A, B, and C based on LCM (30): 2, 3, and 6.

Total efficiency = 2 + 3 + 6 = 11.

Work done by B and C = Efficiency of (B + C) / Total Efficiency.

Part of work = (3 + 6) / 11 = 9/11.

∴ The correct answer is 9/11.

Alternate Method

Given: Time taken by Pipe A = 15 min, Pipe B = 10 min, Pipe C = 5 min.

Formula Used: Efficiency = Total Work ÷ Time; Work Done = Efficiency × Time.

⇒ Total efficiency of A + B + C = 2 + 3 + 6 = 11 units/min.

⇒ Time taken to fill the tank together = Total Work ÷ Total Efficiency = 30/11 min.

⇒ Work done by B in 30/11 min = 3 × (30/11) = 90/11 units.

⇒ Work done by C in 30/11 min = 6 × (30/11) = 180/11 units.

⇒ Total work done by B and C = (90 + 180) / 11 = 270 / 11 units.

⇒ Part of work done by B and C = (270/11) ÷ 30 = 9/11.

∴ The correct answer is 9/11.

Additional Information

Efficiency Concept

Efficiency is inversely proportional to the time taken. If time ratio is x:y, efficiency ratio is y:x.

Pipes and Cisterns

For outlet pipes (leakage), the efficiency is taken as negative in calculations.

Part of Work

The part of work done by a specific group is the ratio of their combined efficiency to the total efficiency of all active pipes.

The correct answer Ampere.

Key Points

• The ampere, symbol A, is the SI unit of electric current.
• It is defined by taking the fixed numerical value of the elementary charge e to be 1.602 176 634 ×10⁻¹⁹ when expressed in unit C, which is equal to A.s.

Additional Information

• The seven SI base units, which are comprised of:
• Length - meter (m)
• Time - second (s)
• Amount of substance - mole (mole)
• Electric current - ampere (A)
• Temperature - kelvin (K)
• Luminous intensity - candela (cd)
• Mass - kilogram (kg)
• Ohm (Ω) is the SI unit of Electric Resistance.
• Volt (V) is the SI unit of Electric Potential.
• Ohmmeter, an instrument for measuring electrical resistance, which is expressed in ohms.

The correct answer is Kerala.

Key Points

• Kerala is the largest producer of rubber plantation in India.
• Tamil Nadu is the 2nd largest producer of rubber plantations in India.
• The soil of cultivation is suitable for rubber plantation, most of the farmers grow rubber trees rubber has a very good market, it is easy to grow.
• Traditional rubber-growing states comprising Kerala and Tamil Nadu account for 81% of production.

Additional Information

• The world's leading producer of natural rubber in Thailand, as of 2019.
• In second place in Indonesia.
• John Joseph Murphy came to India at a young age and set up the country's first commercial rubber plantation at Thattekkad near Kothamangalam in 1902.

Total Sum of 4 numbers = 22 × 4 = 88

 

Sum of 3 smallest = 19 × 3 = 57

Largest number = 88 − 57 = 31

Smallest number = 31 − 15 = 16

Mean of 3 largest = (88 − 16) ÷ 3 = 24

∴ The correct answer is 24.

<br>

Shortcut Trick

Total Sum of 4 numbers = 22 × 4 = 88

Sum** of 3 smallest = 19 × 3 = 57**

Largest number** = 88 − 57 = 31**

Smallest number** = 31 − 15 = 16**

Mean** of 3 largest = (88 − 16) ÷ 3 = 24**

∴ The correct answer is 24.

Shortcut Trick

Radius (r) = √(l² − h²) = √(25² − (√429)²) = √(625 − 429) = √196 = 14 cm.

CSA = πrl = (22/7) × 14 × 25 = 22 × 2 × 25 = 1100 cm².

∴ The correct answer is 1100 cm².

Alternate Method

Given: Height (h) = √429 cm, Slant height (l) = 25 cm, π = 22/7.

Formula Used: Slant height l² = r² + h²; Curved Surface Area (CSA) = πrl.

⇒ First, calculate the radius (r) of the cone.

⇒ r² = l² − h²

⇒ r² = 25² − (√429)²

⇒ r² = 625 − 429 = 196

⇒ r = √196 = 14 cm.

⇒ Curved Surface Area (CSA) = πrl

⇒ CSA = (22/7) × 14 × 25

⇒ CSA = 22 × 2 × 25 = 1100 cm².

∴ The correct answer is 1100 cm².

Additional Information

Total Surface Area of Cone

It is the sum of CSA and base area: TSA = πr(l + r).

Volume of Cone

The capacity of a cone is given by V = (1/3)πr²h.

Pythagorean Relation

In a right circular cone, l, h, and r always satisfy l² = r² + h².

The correct answer is Shooting.

Key Points

• Youth Olympics champion and Asian Games gold medallist, 17-year-old Saurabh Chaudhary won the men's gold in 10-meter air pistol in the 63rd National shooting championship in 2020.
• Sarabjot Singh, Abhishek Verma is got 2nd and 3rd positions respectively.

Given,

When the mirror is placed horizontally the left and right part of the figure remains the same and the changes occur in the top and bottom part of the figure.

∴ 

Hence, the correct answer is A.

Given,

Nida is the son of Fazil. Fazil is Meher's brother. Khaif is Mehar's husband.

Here we see Meher is Aunt of Nida.

Hence, the correct answer is Aunt.

The correct answer is The velocity of the object increases.

Key Points

• Velocity describes how position changes and acceleration describes how velocity changes.
• Acceleration is defined to be the rate of change of the velocity.
• Positive acceleration is increasing speed with the direction of travel.
• Negative acceleration is decreasing speed with the direction of travel.
• Uniform acceleration is a freely falling body (since it has a uniform acceleration equal to the acceleration due to the gravity of the earth).
• No acceleration means no change in velocity. For example, an apple thrown in space.
• The thing is moving at a constant velocity relative to an inertial reference frame.

The correct answer is 19.8 × 10⁶ J.

Key Points

• 1 Kwh can be defined as the amount of electrical energy consumed when a 1000 watt electrical appliance is used for an hour.
• So 5.5 Kwh is can be defined as the amount of electrical energy consumed when a 5500-watt electrical appliance is used for an hour.
• 1 Watt = 1 Joule /second.
  

1 kilowatt hour is 3.6 megajoules.

5.5 kwh = 3.6 × 5.5 = 19.8 mrgajoules = 19.8 × 10⁶ J.

The correct answer is Endospores.

Key Points

• Microorganisms sense and adapt to changes in their environment.
• Endospores can survive environmental assaults that would normally kill the bacterium. These stresses include high temperature, high UV irradiation, desiccation, chemical damage, and enzymatic destruction.
• A variety of different microorganisms form "spores" or "cysts", but the endospores of low G+C Gram-positive bacteria are by far the most resistant to harsh conditions.

Additional Information

• Endotoxin is a type of pyrogen and is a component of the exterior cell wall of Gram-negative bacteria, like E. coli.
• Endotoxin is a lipopolysaccharide or LPS.
• LPS consists of the lipid A portion containing fatty acids and disaccharide phosphates, core polysaccharides, and the O-antigen.
• Peptidoglycan is the basic unit of the cell wall in bacteria, that confers mechanical rigidity to the cell, protects the cytoplasmic membrane, and determines the cell form.
• In Gram-positive bacteria, a thick coat of peptidoglycan combined with teichoic acid constitutes the basic structure of the cell wall.
• Endogenous budding is the process when the bud develops inside the parent body.
• Endogenously developing bud is called a gemmule.
• It occurs in- freshwater sponges and a few marine sponges.
• They reproduce by sexual and asexual mode.

Given,

The number of triangles is,

No. of small triangles = 8

No. of triangles consisting of two small triangles = 3

No. of triangles consisting of three small triangles = 1

No. of triangles consisting of four small triangles = 1

∴ The total no. of triangles = 13

Hence, the correct answer is 13.

The correct answer is Singapore.

Key Points

• The 6th edition of the biennial World Cities Summit (WCS-2018) has started in Singapore.
• The 5-day event is co-organized by the Centre for Liveable Cities and the Urban Redevelopment Authority.
• The theme was “Liveable & Sustainable Cities: Embracing the Future through Innovation and Collaboration".
• The motto was how cities can be more liveable and resilient through better governance and planning, technology and social innovations, as well as collaborations with various stakeholders and with other cities.
• This summit was held in conjunction with the Singapore International Water Week (SIWW) and the CleanEnviro Summit Singapore (CESG).

Additional Information

• The 7th World Cities Summit (WCS) will be held from 5 to 9 July 2020 in Singapore.

We know,

Given,

Biscuit = 83

Cake = 20

Cookie = 58

The pattern followed here is

the addition of the positional value of the letters is the code for given words.

Hence, the correct answer is 40.

The correct answer is Indira Banerjee.

Key Points

• She was elevated as the Chief Justice of the Madras High Court and assumed charge on 5 April 2017.
• She was appointed as a Permanent Judge of the Calcutta High Court on 5 February 2002.
• Then she transferred to the Delhi High Court with effect from 8 August 2016.

Additional Information

• Satish K. Agnihotri is the former Chief Justice of Sikkim High Court.
• He also served as a judge of the Madras High Court.
• Rajesh Kumar Agrawal is the current President of the National Consumer Disputes Redressal Commission (NCDRC).
• He is a former judge of the Supreme Court of India.
• He also served as the Chief Justice of the Madras High Court (24 October 2013 - 17 February 2014).
• Sanjay Kishan Kaul is a Judge of the Supreme Court of India.
• He is former Chief Justice of Madras, Punjab and Haryana High Court.

Given,

Statement:

As part of the city's beautification campaign, the local municipal body plans to clean up the old lake in the city center.

Assumptions:

1. If the lakes are well maintained, then it adds to the beauty of the city and checks the water level of that area.
2. The lake is full of dirt.

Here we see both the assumptions are implicit.

Hence, the correct answer is Both 1 and 2 are implicit.

The correct answer is 14 September.

Key Points

• the World Hindi Diwas, the National Hindi Diwas is observed on September 14 every year.
• It recognizes the day when Hindi was adopted as one of the official languages of India by the Constituent Assembly in 1949.
• Apart from Hindi Diwas, World Hindi Day 2020 is observed on January 10.
• The day commemorates the anniversary of the first World Hindi Conference held in Nagpur on January 10, 1975.

Important Points

• 14 December - National Energy Conservation Day.
• It is celebrated every year by the Bureau of Energy Efficiency (BEE), under the Ministry of Power.
• 14 June - World Blood Donor Day.
• 14 November - Children’s Day.
• It is celebrated to commemorate the birth anniversary of Pt. Jawaharlal Nehru.
• He was born on 14 November 1889.
• Jawaharlal Nehru had immense love, care, and affection for children and so, they call him Chacha Nehru.

Concept:

Follow the BODMAS rule to solve this question, as per the order given below, 

Calculation:

96 ÷ 2³ × 3 + 8 = ?

⇒ 96 ÷ 8 × 3 + 8 = ?

⇒ 12 × 3 + 8 = ?

⇒ 36 + 8 = ?

⇒ 44 = ?

∴ The required value is 44

Given,

∑, Φ, δ, #

Here we see all are mathematical symbols except #.

Hence, the correct answer is #.

Shortcut Trick

Test squares of consecutive even numbers: 2² = 4, 4² = 16, 6² = 36, 8² = 64.

Observe the sum: 16 + 36 = 52. This uniquely identifies the numbers as 4 and 6.

Statement II (difference is 2) is a universal property of all consecutive even numbers and does not provide a unique value.

∴ The correct answer is Only statement I is sufficient, while statement II alone is not sufficient.

Alternate Method

Given: Two consecutive positive even numbers.

Formula Used: Sum of squares of n and (n + 2) is n² + (n + 2)².

From Statement I:

⇒ n² + (n + 2)² = 52

⇒ n² + n² + 4n + 4 = 52

⇒ 2n² + 4n − 48 = 0

⇒ n² + 2n − 24 = 0

⇒ (n + 6)(n − 4) = 0

⇒ n = 4 (Since the number must be a positive even number).

⇒ The numbers are 4 and 6. Thus, Statement I is sufficient to find the value.

From Statement II:

⇒ (n + 2) − n = 2

⇒ 2 = 2. This is an identity that holds true for all consecutive even numbers (e.g., 2 and 4, 8 and 10), so no unique value can be determined.

∴ The correct answer is Only statement I is sufficient, while statement II alone is not sufficient.

Additional Information

Consecutive Even Numbers

These are even integers that follow one another in order, represented as n, n + 2, n + 4, etc., where n is an even integer.

Data Sufficiency

A statement is considered sufficient if it leads to exactly one unique solution for the variable or question asked.

Quadratic Roots

In equations like n² + 2n − 24 = 0, the roots are found by factoring; only the root satisfying the given constraints (positive even) is accepted.

The correct answer is Atal Bihari Vajpayee.

Key Points

Bharat Ratna Award Winners: List of Recipients (2015)

 

Additional Information

Bharat Ratna Award Winners: List of Recipients (2019)

Given,

Here we see in all the figures dots are to the either side of the line except in the figure D.

Hence, the correct answer is D.

The correct answer is Increased.

Key Points

• The elastic potential energy is equal to the work done (w) in the spring.
  

w = ${1 \over 2} k x^2$ , where k is the spring constant and x is the change in the length of spring from the normal position to the compressed position.

• This work done is stored in spring as elastic potential energy (PE) when the spring is compressed and hence elastic potential energy increases.

The correct answer is Himachal Pradesh.

Key Points

• Nepal shares a border of about 1850 km with five Indian States - Uttarakhand, Uttar Pradesh, Bihar, West Bengal, and Sikkim.

Important Points

• Nepal (as of May 2022)
• Capital: Kathmandu
• Currency: Nepalese Rupee
• President: Bidya Devi Bhandari.
• Prime Minister: Pushpa Kamal Dahal
• Himachal Pradesh (as of Jan 2023)
• Chief Minister: Sukhwinder Singh Sikhu
• Governor: Rajendra Arlekar

 

Additional Information

• India shares borders with 09 countries:
• In the north or north-west: China, Bhutan, Nepal, Pakistan, Afghanistan.
• In the east: Bangladesh, Myanmar.
• Water borders:  Sri Lanka, Maldives.

The correct answer is Potassium (K) and Sodium (Na).

• Apart from sodium, potassium, lithium, and cesium metal are stored in kerosene oil as they both can react in air or water.
• These metals are highly reactive to oxygen, carbon dioxide, and moisture present in the air.
• If it is kept in the open air, it easily reacts with the oxygen and catches fire.
• kerosene is a mixture of hydrocarbons, it won't react with it.
• The reaction proceeds as follows (sodium in the example, but it could be any of the Group 1 metals):
  

2Na(s) + 2H₂O(l) --> 2NaOH(aq) + H₂(g)

Hydrogen gas is formed during the reaction. In more explosive reactions (potassium, rubidium, and cesium).

Given,

Question:

Who is the largest among T, V and W?

Statement:

1. T is older than W.
2. W is the elder sister of V.

Here we see T is older than W and W is older than V and both the statements are necessary to answer the question.

∴ T is the oldest.

Hence, the correct answer is Statements 1 and 2 are sufficient.

The correct answer is Density.

Key Points

Sound is energy, not matter or substance. Sound is not a physical thing.

Important Points

• Density is a characteristic property of a substance or matter.
• The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).
• Density equals the mass of the substance divided by its volume; D = m/v.
• Objects with the same volume but different mass have different densities.

Additional Information

• There are five main characteristics of sound waves: wavelength, amplitude, frequency, time period, and velocity.
• The wavelength of a sound wave indicates the distance that the waves travel before it repeats itself.
• The amplitude of a wave defines the maximum displacement of the particles disturbed by the sound wave as it passes through a medium. A large-amplitude indicates a large sound wave.
• The frequency of a sound wave indicates the number of sound waves produced by each second. Low-frequency sounds produce sound waves less often than high-frequency sounds.
• The time period of a sound wave is the amount of time required to create a complete wave cycle. Each vibration from the sound source produces a wave’s worth of sound.
• The velocity of a sound wave determines how fast the wave is moving and is expressed as meters per second.

Given,

Rubber, Copper, Human Body, Graphite.

Here we see based on the electrical conductivity all are good conductors except Rubber.

Hence, the correct answer is Rubber.

The correct answer is Inertia.

Key Points

• Newton’s first law of motion, which is sometimes called the law of inertia, explains that an object at rest stays at rest, and an object in motion remains in motion with the same velocity unless acted upon by an external force.
• For instance, if the front wheel of a bicycle being ridden at speed hits a large rock, the bike is acted upon by an external force, causing it to stop.
• Unfortunately for the cyclist, he or she will not have been acted upon by the same force and will continue in motion—over the handlebars.

Additional Information

We know,

Given,

NYLON is written as 1425121514.

The pattern followed here is,

 

Hence, the correct answer is 31520201514.

The correct answer is Velocity

Key Points

• A vector quantity is specified by its magnitude as well as the direction associated with it.
• For example: - Acceleration, velocity, displacement, and angular velocity.
• Velocity is defined as a vector measurement of the rate and direction of motion of an object.
• velocity formula when an object moving in a straight line: r = d / t
• r is the rate or speed, d is the distance moved, t is the time it takes to complete the movement.
• SI unit: meter/second.
• Other units: mph, ft/s, Km/h.

Additional Information

The correct answer is New Delhi.

Key Points

• New Delhi is the headquarters of Sahitya Akademi.
• The Sahitya Akademi Award is a literary honor, that is conferred by India’s National Academy of Letters, Sahitya Akademi annually to writers of the most outstanding books of literary merit published in any of the 24 listed languages.
• The winners will be honored with a copper plaque and prize money of Rs 1 lakh.

Additional Information

• Sahitya Akademi Award 2019 Winners:

• It is to be noted Santhali language was used in Rajya Sabha for the first time.
• In 2005 Bodo and Santhali were introduced in Sahitya Akademi Award.
• The first award was given in 1955.

Given,

Statements:

Should the Indian government stop spending large amounts of money on border security?

Argument:

I. Yes, it is a waste of public money

II. No, it is a national security issue

Here we see only II argument is strong.

Hence, the correct answer is Only II is strong.

Given,

Here we see all are punctuations except '+' which is mathematical sign.

Hence, the correct answer is C.

The correct answer is As a mixture with gourd-metal.

Key Points

• Metal is very reactive and unstable. In surroundings, they react with other elements to form compounds to attain stability.
• Metals thus react with sulfides, carbonates, oxygen to form respective minerals.
• Hence they do not occur in the free state.
• The metals that can be found in the free state in nature are gold, silver, platinum, etc.
• Because they are non-reactive metals.

Hint

• A native metal is any metal that is found pure in its metallic form in nature.
• Only gold, silver, copper, and the platinum group occur natively in large amounts.

The correct answer is Sandeep Sejwal.

Key Points

• Sandeep Sejwal is an Indian swimmer (Senior National Champion).
• He contested in the men's 100 m and 200 m breaststroke events at the 2010 Asian Juniors in Beijing.
• He won the bronze medal in the 2014 Asian games in 50 m breaststroke.

Important Points

The correct answer is They produce hydrogen ions in water.

Key Points

• The alkali metals are a group of chemical elements in the periodic table with the following physical and chemical properties:
• shiny
• soft
• They are slippery, soapy.
• silvery
• They decompose the thick material.
• highly reactive at standard temperature and pressure
• readily lose their outermost electron to form cations with a charge of +1.
• They can all be cut easily with a plastic knife due to their softness, and their shiny surface tarnishes rapidly in air due to oxidation.
• These turn the red litmus blue.
• Because of their high reactivity, alkali metals must be stored under oil to prevent reaction with air.
• In the modern IUPAC nomenclature, the alkali metals comprise the group 1 elements, excluding hydrogen.
• All the alkali metals react with water, with the heavier alkali metals reacting more vigorously than the lighter ones.
• Hence, option 1 is correct.

The correct answer is Sulfur.

Key Points

• Sulfur is polyatomic.
• Sulfur exists as S₈
• Hydrogen exists as H_2.
• Oxygen exists as O2.
• Any molecule that contains more than 2 atoms is polyatomic. ​
• ​​Hence Sulfur is polyatomic.
• Hence, option 3 is correct.

​

Additional Information

• Any molecule that contains more than 2 atoms is polyatomic.
• Polyatomic molecules consist of a stable system (bound state) comprising three or more atoms.
• The molecular formula characterizes different molecules by reflecting their exact number of compositional atoms.

Given,

Question:

Nayan has 6 boards of 3 different shapes. Find how many rectangular boards it has?

Statement:

1. The number of rectangular and circular boards is the same.
2. The board is circular.

Here we see by both the statements we cannot find the exact number of rectangular boards.

Hence, the correct answer is Statements 1 and 2 are not sufficient.

Given,

Sanjay was going in the southeast direction. He suddenly turns 90° right.

Hence, the correct answer is South-West.

Shortcut Trick

The value of √2 is a well-known mathematical constant up to several decimal places.

The standard expansion is 1.41421356237...

Comparing with the given options, the value 1.41421356 is the closest approximation.

∴ The correct answer is 1.41421356.

Alternate Method

Given: √2

Method: Long Division Method for Square Root

⇒ 1² = 1, Remainder = 1

⇒ Bringing down 00, divisor becomes 24 (2 × 1 = 2, then append 4); 24 × 4 = 96, Remainder = 4

⇒ Bringing down 00, divisor becomes 281; 281 × 1 = 281, Remainder = 119

⇒ Continuing this process for 8 decimal places:

⇒ √2 ≈ 1.41421356...

⇒ Comparing the 8th decimal place:

⇒ Option 1: 1.41421354

⇒ Option 2: 1.41421357

⇒ Option 3: 1.41421356

⇒ Option 4: 1.41421355

∴ The correct answer is 1.41421356.

Additional Information

Irrational Numbers

Numbers like √2, √3, and π cannot be expressed as simple fractions and have non-terminating, non-recurring decimal expansions.

Pythagoras Constant

The value of √2 is also known as Pythagoras' Constant, representing the length of the hypotenuse of a right-angled triangle with legs of length 1.

Common Square Root Values

√3 ≈ 1.73205081 | √5 ≈ 2.23606797 | √10 ≈ 3.16227766

Given,

Here we see in the second image shaded part of the figure was removed similarly in the third image shaded part of the figure will be removed.

∴ The answer figure is 

Hence, the correct answer is B.

The correct answer is Carcinogenic.

Key Points

• Carcinogenic does not form part of the periodic table.
• Hence, option 2 is correct.

​

Additional Information

• Halogen, any of the six nonmetallic elements that constitute Group 17 (Group XVII) of the periodic table.
• The halogen elements are fluorine (F), chlorine (Cl), bromine (Br), iodine (I), astatine (At), and tennessine (Ts).
• Lanthanoid, also called lanthanide, any of the series of 15 consecutive chemical elements in the periodic table from lanthanum to lutetium (atomic numbers 57–71).

With scandium and yttrium, they make up the rare-earth metals.

• Their atoms have similar configurations and similar physical and chemical behaviour; the most common valences are 3 and 4.
• These elements are also called lanthanide elements.
• Actinides are elements with atomic numbers from 90 to 103 following element Actinium.
• They include naturally occurring elements of thorium, protactinium, and uranium and eleven transuranic i.e., artificially produced by nuclear reactions. Nevertheless, all actinides are radioactive.
• Elements: Thorium; Uranium; Plutonium; Actinium.

The correct answer is Aids in cell division.

Key Points

• Plants contain cytokine, that aids in cell division.
• They are involved primarily in cell growth and differentiation, but also affect apical dominance, axillary bud growth, and leaf senescence.
• Hence, option 2 is correct.

​

Additional Information

• Cytokinins (CK) are a class of plant growth substances (phytohormones) that promote cell division, or cytokinesis, in plant roots and shoots.
• They are involved primarily in cell growth and differentiation, but also affect apical dominance, axillary bud growth, and leaf senescence.

Shortcut Trick

In an isosceles triangle (AB = AC), the angles opposite to equal sides are equal.

Since AB = AC, then ∠B = ∠C = x.

Sum of angles = 180° ⇒ (5x − 30) + x + x = 180°.

7x = 210° ⇒ x = 30°.

Since ∠B = x, the value of angle B is 30°.

∴ The correct answer is 30°.

Alternate Method

Given: In ΔABC, AB = AC, ∠C = x, and ∠A = (5x − 30)°.

Formula Used: Sum of interior angles of a triangle = 180°.

Calculations:

⇒ In ΔABC, since AB = AC,

⇒ ∠B = ∠C (Angles opposite to equal sides are equal)

⇒ ∠B = x

⇒ ∠A + ∠B + ∠C = 180°

⇒ (5x − 30) + x + x = 180

⇒ 7x − 30 = 180

⇒ 7x = 210

⇒ x = 30

⇒ ∠B = 30°

∴ The correct answer is 30°.

Additional Information

Isosceles Triangle Property

In a triangle where two sides are equal, the angles opposite to those sides are also equal. If AB = AC, then ∠B = ∠C.

Angle Sum Property

The sum of all three interior angles of any triangle is always 180° (∠A + ∠B + ∠C = 180°).

Exterior Angle Theorem

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Shortcut Trick

For half-yearly compounding, Rate (r) = 8% ÷ 2 = 4% and Time (n) = 1.5 years × 2 = 3 periods.

Effective rate for 3 periods of 4% = 4 + 4 + 4 + (4×4 + 4×4 + 4×4)/100 + (4×4×4)/10000 = 12.4864%.

Compound Interest = 12.4864% of ₹ 84,500 = 0.124864 × 84,500 = ₹ 10,551.008.

Rounding to the nearest absolute number, we get ₹ 10,551.

∴ The correct answer is ₹ 10,551.

Alternate Method

Given:

Principal (P) = ₹ 84,500

Annual Rate (R) = 8% per annum

Time (T) = 1 year 6 months = 1.5 years

Since the interest is compounded half-yearly:

⇒ New Rate (r) = 8% ÷ 2 = 4% per half-year

⇒ Number of periods (n) = 1.5 × 2 = 3 half-years

Formula Used:

Amount (A) = P(1 + r/100)ⁿ

Compound Interest (CI) = A − P

Calculations:

⇒ A = 84,500 × (1 + 4/100)³

⇒ A = 84,500 × (1.04)³

⇒ A = 84,500 × 1.124864

⇒ A = 95,051.008

⇒ CI = 95,051.008 − 84,500

⇒ CI = 10,551.008 ≈ ₹ 10,551

∴ The correct answer is ₹ 10,551.

Additional Information

Compounding Frequencies

For half-yearly, r = R/2 and n = 2T. For quarterly, r = R/4 and n = 4T.

Difference between CI and SI

For 2 years, CI − SI = P(r/100)². For 3 years, CI − SI = P(r/100)² × (3 + r/100).

Effective Rate Formula

For two successive rates a and b, the net effective rate is (a + b + ab/100)%.

Given,

Odissi, Kathakali, Hip hop, Bharatanatyam

Here we see all are Indian dance forms except Hip hop.

Hence, the correct answer is Hip hop.

The correct answer is 82 and 1/2 Degree east longitude.

Key Points

• 82 and 1/2 Degree east longitude is the Meridian on which the Indian Standard Time is based.
• The longitude of 82½° E (82° 30'E) is considered as the standard meridian.
• The local time stated or mentioned at this meridian is considered as the standard time for the whole country.
• This is called the Indian Standard Time (IST).
• Hence, option 2 is correct.

​

Additional Information

• The standard meridian of India passes through the following states :
• Uttar Pradesh
• Madhya Pradesh
• Chattisgarh
• Orissa
• Andhra Pradesh
• About Standard Meridian
• The Standard Meridian of India having the longitude 82°30’E, which passes through Mirzapur in Uttar Pradesh is considered as the standard time for the whole country
• Standard time is referred to as the synchronization of clocks within a certain geographical area to a single standard time, instead of using solar time or a locally chosen meridian (longitude) to establish a local mean time standard
• A standard meridian is established in every country so that it is the central longitude of the whole country and at the same time is throughout the country.

Shortcut Trick

किसी भी पूर्ण वर्ग (Perfect Square) संख्या का इकाई अंक (Unit Digit) कभी भी 2, 3, 7, या 8 नहीं हो सकता।

विकल्पों की जाँच करने पर:

संख्या 34967 का इकाई अंक 7 है।

इसलिए, 34967 एक पूर्ण वर्ग नहीं हो सकता।

∴ The correct answer is 34967.

Alternate Method

दिया गया है: संख्याएँ 30625, 38416, 34967, 40804

नियम: एक पूर्ण वर्ग संख्या के गुण:

1. इकाई अंक 0, 1, 4, 5, 6, या 9 होना चाहिए।
2. डिजिटल सम (Digital Sum) हमेशा 1, 4, 7, या 9 होना चाहिए।

⇒ विकल्प (1): 30625 → इकाई अंक 5 (संभव है); डिजिटल सम: 3+0+6+2+5 = 16 → 1+6 = 7 (संभव है)

⇒ विकल्प (2): 38416 → इकाई अंक 6 (संभव है); डिजिटल सम: 3+8+4+1+6 = 22 → 2+2 = 4 (संभव है)

⇒ विकल्प (3): 34967 → इकाई अंक 7 है। नियम के अनुसार, किसी भी पूर्ण वर्ग का अंत 7 से नहीं हो सकता।

⇒ विकल्प (4): 40804 → इकाई अंक 4 (संभव है); डिजिटल सम: 4+0+8+0+4 = 16 → 1+6 = 7 (संभव है)

∴ The correct answer is 34967.

Additional Information

Unit Digit Property

किसी भी संख्या के वर्ग का इकाई अंक केवल 0, 1, 4, 5, 6, या 9 हो सकता है। यदि इकाई अंक 2, 3, 7, या 8 है, तो वह पूर्ण वर्ग नहीं है।

Digital Sum Rule

एक पूर्ण वर्ग संख्या के अंकों का योग (Digital Sum) हमेशा 1, 4, 7, या 9 होता है।

Last Two Digits

किसी भी पूर्ण वर्ग के अंतिम दो अंक वही होते हैं जो 1 से 24 तक की संख्याओं के वर्ग के अंतिम दो अंक होते हैं।

The correct answer is South Korea.

Key Points

• The Pyongyang Winter Olympic Games 2018 was held in South Korea country.
• Hence, option 1 is correct.​

Additional Information

• Host city: Pyeongchang, South Korea
• Motto: Passion. Connected.
• Nations: 92
• Athletes : 2,922
• Events: 102 in 7 sports (15 disciplines)
• Opening:9 February
• Closing: 25 February
• Opened by : President Moon Jae-in
• Cauldron: Kim Yun-a
• Stadium: Pyeongchang Olympic Stadium

Important Points

• 2022 Winter Olympics is an international winter multi-sport event that is scheduled to take place from 4 to 20 February 2022, in Beijing and towns in the neighbouring Hebei province, China.
• About South Korea: (2022)​
• Capital: Seoul
• Currency: South Korean Won
• President: Yoon Suk-yeol
• Prime Minister: Han Duck-soo

The correct answer is 2.

Concept:

• The Law of conservation of mass states that matter can neither be created nor destroyed.
• In a chemical reaction, new compounds different from the starting materials are formed.
• In accordance with the law of conservation of mass, thus the number of atoms of each element in the reactant and product side will be the same.

So, we need to balance the chemical equation.

Calculation:

To balance a chemical reaction:

• Check the number of atoms before and after the reaction.
• Balance the elements one at a time by adding coefficients before them.
• Change the coefficients as required.
• Never change the subscripts.
• PbO + 2HCl → PbCl₂ + H₂O is the balanced equation.
• The balance of the above equation requires 2 moles of HCl.

Hence, 2 moles is correct.​

​

Additional Information

• Balanced chemical equation:
• A chemical equation in which the number of each type of atom is equal on the two sides of the equation.

Shortcut Trick

Let Total Work be LCM(20, 16, 8) = 80 units.

Efficiency of A = 4, B = 5, and A+B+C = 10.

Efficiency of C = 10 − (4 + 5) = 1 unit.

Since C and D take 60 days, total work for that pair is 60 × 1 = 60 units (as C efficiency is 1).

Efficiency of C + D = 80/60 = 4/3. Efficiency of D = 4/3 − 1 = 1/3.

Days for D = 80 ÷ (1/3) = 240 days.

∴ The correct answer is 240 days.

Alternate Method

Given: A = 20 days, B = 16 days, A+B+C = 8 days, C+D = 60 days.

Formula Used: Total Work = LCM of days; Efficiency = Total Work ÷ Time.

⇒ Efficiency of C = Efficiency(A+B+C) − Efficiency(A) − Efficiency(B)

⇒ Efficiency of C = 10 − 4 − 5 = 1 unit/day

⇒ Time taken by C alone = 80 ÷ 1 = 80 days

⇒ For C and D: 1/C + 1/D = 1/60

⇒ 1/80 + 1/D = 1/60

⇒ 1/D = 1/60 − 1/80

⇒ 1/D = (4 − 3) ÷ 240 = 1/240

⇒ Time taken by D = 240 days

∴ The correct answer is 240 days.

Additional Information

Combined Work Formula

If two people work together, the time taken is (X × Y) ÷ (X + Y), where X and Y are their individual days.

Efficiency and Time Relationship

Efficiency is inversely proportional to the time taken. More efficiency means less time to complete the same work.

Work and Wages

Wages are always distributed in the ratio of the work done or the ratio of efficiencies when they work for the same duration.

Shortcut Trick

Let Soumik's present age be x months.

Sambit = x + 6 | Tuhin (15 months ago) = 3 × (x + 6 − 15) = 3x − 27

Tuhin's present age = 3x − 27 + 15 = 3x − 12

Future Equation: (3x − 12 + 5) = 2.5 × (x + 5) ⇒ 3x − 7 = 2.5x + 12.5 ⇒ 0.5x = 19.5 ⇒ x = 39 months

Total Age = (3x − 12) + (x + 6) + x = 5x − 6 = 5(39) − 6 = 195 − 6 = 189 months = 15 years 9 months.

∴ The correct answer is 15 years 9 months.

Alternate Method

Given: Relation between ages of Tuhin, Sambit, and Soumik at different time intervals.

Formula Used: Age after n years = Present age + n | Age n years ago = Present age − n.

⇒ Let Soumik's present age = S months.

⇒ Sambit's present age = S + 6 months.

⇒ 15 months ago, Sambit's age = (S + 6) − 15 = S − 9 months.

⇒ 15 months ago, Tuhin's age = 3 × (S − 9) = 3S − 27 months.

⇒ Tuhin's present age = (3S − 27) + 15 = 3S − 12 months.

⇒ After 5 months, Tuhin's age = (3S − 12) + 5 = 3S − 7 months.

⇒ After 5 months, Soumik's age = S + 5 months.

⇒ According to question: 3S − 7 = 2.5 × (S + 5)

⇒ 3S − 7 = 2.5S + 12.5 ⇒ 0.5S = 19.5 ⇒ S = 39 months.

⇒ Tuhin = 3(39) − 12 = 105; Sambit = 39 + 6 = 45; Soumik = 39.

⇒ Sum = 105 + 45 + 39 = 189 months.

⇒ 189 months = 189 ÷ 12 = 15 years 9 months.

∴ The correct answer is 15 years 9 months.

Additional Information

Age Ratio Problems

If the ratio of ages of A and B is a:b, then their ages can be assumed as ax and bx. The difference between ages remains constant throughout life.

Unit Conversion

To convert months to years, divide by 12. To convert years to months, multiply by 12.

Linear Equations in Ages

Always relate all persons' ages to a single variable (usually the youngest or a common reference) to simplify the calculation.

Given,

Arrangement : ______ :: Selection : Combination

Here we see selection is related to combination, in the same way arrangement is related to Permutation.

Hence, the correct answer is Permutation.

Shortcut Trick

A number is a perfect square only if its last digit is 1, 4, 5, 6, 9, or 00.

Check the last digits: (1) 5, (2) 5, (3) 4, (4) 6. All could be perfect squares.

Check digital sum: (1) 4+2+3+5 = 14 → 5 | (2) 7+2+2+5 = 16 → 7 | (3) 8+4+6+4 = 22 → 4 | (4) 3+1+3+6 = 13 → 4.

Perfect squares must have digital sums of 1, 4, 7, or 9. Since 4235 has a digital sum of 5, it is not a perfect square.

∴ The correct answer is 4235.

Alternate Method

Given: Numbers 4235, 7225, 8464, 3136.

Concept: The square root of a non-perfect square is an irrational number.

⇒ √7225 = 85 (Rational)

⇒ √8464 = 92 (Rational)

⇒ √3136 = 56 (Rational)

⇒ For 4235: 65² = 4225 and 66² = 4356.

⇒ Since 4225 < 4235 < 4356, 4235 is not a perfect square.

∴ The correct answer is 4235.

Additional Information

Irrational Numbers

A number that cannot be expressed as a simple fraction p/q. Their decimal expansion is non-terminating and non-recurring.

Digital Sum Rule

The sum of digits of a perfect square is always 1, 4, 7, or 9. If the digital sum is 2, 3, 5, 6, or 8, the number is not a perfect square.

Unit Digit Property

A perfect square never ends with the digits 2, 3, 7, or 8.

Shortcut Trick Sum of 4 numbers = 110 × 4 = 440. To maximize Range, minimize the smallest number. Maximize other two numbers as 134 and 133 (distinct and < 135). Smallest number = 440 − (135 + 134 + 133) = 38. Max Range = 135 − 38 = 97. ∴ The correct answer is 97. Alternate Method Given: Arithmetic mean of 4 natural numbers = 110, Largest number = 135. Formula Used: Mean = Sum ÷ Count; Range = Max − Min.

⇒ Sum of 4 numbers = 110 × 4 = 440 ⇒ Let the numbers be n1 < n2 < n3 < n4 = 135 ⇒ n1 + n2 + n3 + 135 = 440 ⇒ n1 + n2 + n3 = 305 ⇒ To maximize Range (n4 − n1), we must minimize n1 ⇒ To minimize n1, maximize n2 and n3 such that n2 < n3 < 135 ⇒ Max n3 = 134 and Max n2 = 133 ⇒ n1 = 305 − 134 − 133 = 38 ⇒ Max Range = 135 − 38 = 97 ∴ The correct answer is 97.

Given,

A is cleaning a rectangular hall whose entrance is to the east. After entering the room, A starts cleaning to his left. At one stroke, A makes an angle of 180 ° with the sweep.

Here we see broom is facing North direction.

Hence, the correct answer is North.

The correct answer is 0.45 m.

Key Points

• 0.45 m is the wavelength of a sound wave in a medium with a frequency of 840 Hz and a speed of 380 m/s seconds.
• Speed of the sound wave, v = 380 ms^-1
• For a sound wave,
• Speed = Wavelength x Frequency
• wavelength = speed / frequency
• wavelength = 380 / 840
• wavelength = 0.45 m
• Hence, the wavelength of the sound wave is 0.45 m.
• Hence, option 3 is correct.

We know,

Given,

KB, LD, MG, NK, ? 

The pattern followed here is,

Hence, the correct answer is OP.

The correct answer is 22%.

Key Points

• 22% is the below poverty line (BPL) percentage in India as per the 2011 census.
• Hence, option 2 is correct.​

Additional Information

• The proportion of people living below the poverty line (BPL) has come down from 37.2 percent in 2004-05 to 22 percent in 2011-12.

• Below Poverty Line is a benchmark used by the government of India to indicate economic disadvantage and to identify individuals and households in need of government assistance and aid.

• It is determined using various parameters which vary from state to state and within states.

• The present criteria are based on a survey conducted in 2002.

Important Points

• Census of India, 2011:
• Total Population of India was 1,210,193,422.
• The Sex Ratio (females per thousand males) in India was 943.
• The population density was reported at 382 persons per sq. km.
• Total districts covered- 640. Hence, statement 1 is correct.
• Crude Birth Rate- 21.8.
• Crude Death Rate- 7.1 per thousand population
• Infant Mortality Rate was 44 per thousand live births
• Literacy rate of the country- 74.04 per cent. (82.14 for males and 65.46 for females).
• State with the highest literacy- Kerala (94.0%)
• State with the lowest literacy- Bihar (61.8%)
• state with the highest female literacy rate- Kerala (92.1%)
• Census:​
• In 1872 AD, the first Non-synchronised Census was done in India during the time of Lord Mayo.
• The first synchronised census in India took place in 1881.
• Since 1901, it has been taking place after every decade.
• Census 2011, is the 15th census and 7th after independence.
• The slogan of Census 2011 is “Our Census, Our Future”.

The correct answer is To connect SWIFT with its Basic Banking Solution (CBS).

Key Points

• To improve the internal control of banks, the Reserve Bank of India has asked all banks to connect SWIFT with its Basic Banking Solution (CBS) till 30 April 2018.
• Hence, option 1 is correct.

​

Additional Information

• Reserve Bank of India
• The Reserve Bank of India is India's central bank, responsible for the issue and supply of the Indian rupee and the regulation of the Indian banking system.
• It also manages the country's main payment systems and works to promote its economic development.
• Governor: Shaktikanta Das
• Headquarters: Mumbai, Maharashtra, India
• Established: 1 April 1935; 85 years ago

Shortcut Trick

To find the square root of 21316:

The last digit is 6, so the square root must end in 4 or 6.

Ignore the last two digits (16), we are left with 213.

Since 14² = 196 and 15² = 225, the first two digits must be 14.

Check 145² = 14 × 15 | 25 = 21025. Since 21316 > 21025, the answer is 146.

∴ The correct answer is 146.

Alternate Method

Given: Number = 21316

Method: Long Division Method for Square Root

⇒ Group the digits in pairs from right: 2, 13, 16

⇒ 1 × 1 = 1 | Remainder = 1 | New number = 113

⇒ Double the quotient (1 × 2 = 2) | 24 × 4 = 96 | Remainder = 17 | New number = 1716

⇒ Double the current quotient (14 × 2 = 28) | 286 × 6 = 1716

⇒ Remainder = 0

⇒ Square root = 146

∴ The correct answer is 146.

Additional Information

Unit Digit Rule

A perfect square ending in 6 always has a square root ending in either 4 or 6.

Estimation Method

Find the nearest perfect square hundreds. 140² = 19600 and 150² = 22500. The value 21316 lies between them.

Ending with 5

Shortcut for squares ending in 5: (n5)² = [n × (n+1)] followed by 25. Example: 145² = (14 × 15)25 = 21025.

Given,

Statements:

• No jockey is an ace.
• No Ace is a Queen.

<br>

Conclusions:

1. No jockey is queen.
2. All queens are jockeys.

The least possible Venn diagram for the given statements is as follows,

Conclusions:

1. No jockey is queen → False (It is possible but not definite)
2. All queens are jockeys → False (It is possible but not definite)

Hence, the correct answer is "Neither conclusion 1 nor 2 follows".

The correct answer is Antidone.

Key Points

• Antidone is not related to the phylum Churnapravara (Mollusca).
• Hence, option 4 is correct.

​

Additional Information

• The phylum Mollusca is typically divided into 9 or 10 taxonomic classes of which two are entirely extinct.
• These classes are Aplacophora, Bivalvia, Cephalopoda, Polyplacophora, Gastropoda, Monoplacophora, Pleistomollusca, Rostroconchia, Scaphopoda, Incertae sedis.
• Decapoda is an order of crustaceans within the class Malacostraca.

The correct answer is 64 u.

Key Points

• 64 u is the expected molecular mass of sulfur dioxide [So₂].
• The molar mass of sulfur is 32.1 g/mol, and oxygen is 16.0 g/mol.
• Therefore, the molar mass of sulfur dioxide is 1 × 32.1  +  2 × 16.0] = 64.1 g/mol.
• Hence, option 3 is correct.​

Additional Information

• Sulfur dioxide or sulphur dioxide is the chemical compound with the formula SO₂.
• It is a toxic gas responsible for the smell of burnt matches.
• It is released naturally by volcanic activity and is produced as a by-product of copper extraction and the burning of fossil fuels contaminated with sulfur compounds.

The correct answer is Karnataka.

Key Points

• Shakti Sthal is a solar power park, which was recently inaugurated in the Karnataka state.
• ​The world's largest solar park, Shakti Sthala, has a capacity of 2,000 MW and has set up at an investment of Rs16,500 crore at Pavagada in Karnataka's Tumakuru district.
• Hence, option 4 is correct.

​

Additional Information

• The first phase of the Rs16,500 crore park called “Shakti Sthala" will generate 600MW.
• It is part of the “Karnataka Solar Policy 2014-2021" which aims to decrease dependence on traditional power sources and move to environmentally friendly ones to meet the growing power needs of the state.
• The solar park is also part of the Siddaramaiah-led Congress government’s “Nava Karnataka Nirmana" (building a new Karnataka) campaign.

The correct answer is Dr. Neeru Chadha.

Key Points

• Dr. Neeru Chadha is the first Indian woman to be elected as a judge of the International Tribunal for the Law of the Sea (ITLOS).
• Hence, option 4 is correct.

​

Additional Information

• Ms. Chadha, an eminent lawyer, and the first Indian woman to become the chief legal adviser in the ministry of external affairs won the election yesterday to the International Tribunal for the Law of the Sea (ITLOS) for a nine-year term from 2017 to 2026.
• Ms. Chadha got 120 votes, the highest in the Asia Pacific group, and was elected in the first round of voting itself.
• The candidate from Indonesia got 58 votes, Lebanon 60, and Thailand 86.

The correct answer is Kohima.

Key Points

• Kohima is the capital of Nagaland.
• Dispur is the capital of the Indian state of Assam.
• Dispur, a locality of Guwahati, became the capital of Assam in 1973.
• Gangtok is the capital of the mountainous northern Indian state of Sikkim.
• Imphal is the capital city of the Indian state of Manipur.
• Hence, option 2 is correct.​

Additional Information

• Nagaland
• Capital: Kohima (Executive Branch)
• Governor: Jagdish Mukhi
• Chief minister: Neiphiu Rio
• Kohima, situated in the south at an altitude of 1444m above sea level, is the capital city of Nagaland.
• Sharing its borders with Dimapur and Peren District in the West, Zunheboto and Phek District in the East, Manipur State in the South, and Wokha District in the North.

Shortcut Trick

Total ratio parts = 8 + 11 = 19 units.

Given 19 units = 399 students.

1 unit = 399 ÷ 19 = 21 students.

Number of boys = 8 units = 8 × 21 = 168.

∴ The correct answer is 168 boys.

Alternate Method

Given:

Ratio of Boys to Girls = 8 : 11

Total number of Students = 399

Calculations:

⇒ Let the number of boys be 8x and girls be 11x.

⇒ Total students = 8x + 11x = 19x

⇒ 19x = 399

⇒ x = 399 ÷ 19

⇒ x = 21

⇒ Number of boys = 8 × 21

⇒ Number of boys = 168

∴ The correct answer is 168 boys.

Additional Information

Ratio and Proportion

A ratio compares two quantities. If a total amount T is divided in the ratio a:b, the parts are [a/(a+b)] × T and [b/(a+b)] × T.

Unitary Method in Ratios

Find the value of one unit by dividing the total value by the sum of ratio terms, then multiply by the specific term required.

Percentage Conversion

To find the percentage of boys in the school: (Ratio of boys / Total ratio) × 100 ⇒ (8/19) × 100 ≈ 42.1%.

We know,

Given,

2J, 8M, 26P, ____

The pattern followed here is,

Hence, the correct answer is the 80S.

Calculation:

1.42 × 0.005 = ?

⇒ (142/100) × (5/1000) = ?

⇒ 710/100000 = ?

⇒ 0.0071 = ?

∴ The value of ? is 0.0071

The correct answer is 2002.

Key Points

• Dhyan Chand Award
• The award was first given in 2002, to those sportspersons who have contributed to sports by their performance and continue to contribute to the promotion of sports even after their retirement from active sporting career.
• It is the lifetime achievement sporting honor of the Republic of India.
• The award is named after Dhyan Chand (1905–79), an Indian field hockey player who scored more than 1000 goals during a career that spanned over 20 years from 1926 to 1948.
• Hence, option 1 is correct.

​

Additional Information

• The first recipients of the award were Shahuraj Birajdar (Boxing), Ashok Diwan (Hockey), and Aparna Ghosh (Basketball), who was honored in 2002.
• Usually conferred upon not more than three sportspersons in a year, a few exceptions have been made (2003, 2012–2013, and 2018–2020) when more recipients were awarded.

Shortcut Trick For a quadratic inequality in the form ax2 + bx + c < 0 where a > 0, the solution always lies between the roots of the corresponding equation. Roots of x2 + 4x − 12 = 0 are found by factors (x + 6)(x − 2) = 0 ⇒ x = −6 and x = 2. Since the inequality is < 0, the value of x must be between −6 and 2. ∴ The correct answer is −6 < x < 2.

Alternate Method Given Inequality: x2 + 4x − 12 < 0 Method: Factorization Method ⇒ x2 + 6x − 2x − 12 < 0 ⇒ x(x + 6) − 2(x + 6) < 0 ⇒ (x + 6)(x − 2) < 0 ⇒ For the product of two terms to be negative, one must be positive and the other must be negative. ⇒ Case 1: (x + 6) > 0 and (x − 2) < 0 ⇒ x > −6 and x < 2 ⇒ This gives the interval: −6 < x < 2 ⇒ Case 2: (x + 6) < 0 and (x − 2) > 0 ⇒ x < −6 and x > 2 (This is impossible as a number cannot be less than −6 and greater than 2 simultaneously). ∴ The correct answer is −6 < x < 2.

Additional Information Nature of Roots For a quadratic equation ax2 + bx + c = 0, the discriminant D = b2 − 4ac determines the roots. If D > 0, roots are real and distinct. Quadratic Inequality Rules If (x − a)(x − b) < 0 (where a < b), then a < x < b. If (x − a)(x − b) > 0, then x < a or x > b. Sum and Product of Roots For ax2 + bx + c = 0, the Sum of roots = −b/a and the Product of roots = c/a.

The correct answer is Angiosperms.

Key Points

• The reproductive parts of Angiosperms are located in the flower.
• Angiosperms are vascular plants.
• They have stems, roots, and leaves.
• Unlike gymnosperms such as conifers and cycads, angiosperm's seeds are found in a flower.
• Angiosperm eggs are fertilized and developed into a seed in an ovary that is usually found in a flower.
• Hence, option 3 is correct.

​

Additional Information

As a plant's reproductive part, a flower contains a stamen (male flower part) or pistil (female flower part), or both, plus accessory parts such as sepals, petals, and nectar glands.

• The stamen is the male reproductive organ.
• It consists of a pollen sac (anther) and a long supporting filament.
• Sepals are small, green, leaflike structures located at the base of a flower.
• They protect the flower bud. Collectively, the sepals are called a calyx.
• The pistil is a plant's female part.
• It generally is shaped like a bowling pin and is located in the flower's center.

It consists of a stigma, style, and ovary.

The correct answer is 20 m.

Important Points

• Concept:
• When the body is released from a height then all the potential energy will be converted to kinetic energy.
• Hence, Assuming base as a reference
• P.E.+0=K.E.+0
• $P.E.= mgh=400J$
• Here, m=2kg and g=10 m/s²
• $mgh=400$
• \(210h=400\)
• h=20 m

Shortcut Trick

Break down 46% of 1250 into simpler parts.

46% of 1250 = (50% − 4%) of 1250

50% of 1250 = 625

1% of 1250 = 12.5 → 4% = 12.5 × 4 = 50

Required value = 625 − 50 = 575

∴ The correct answer is 575 tickets.

Alternate Method

Given:

Total number of tickets sold = 1250

Percentage of tickets purchased by students = 46%

Formula Used:

Value = (Percentage ÷ 100) × Total Value

Calculations:

⇒ Number of student tickets = 46% of 1250

⇒ Number of student tickets = (46 ÷ 100) × 1250

⇒ Number of student tickets = 0.46 × 1250

⇒ Number of student tickets = 46 × 12.5

⇒ Number of student tickets = 575

∴ The correct answer is 575 tickets.

Additional Information

Percentage Change

To find a percentage of a number, multiply the number by the percentage expressed as a fraction or decimal: (P/100) × Total.

Base Conversion

x% of y is always equal to y% of x. For example, 46% of 1250 = 1250% of 46.

Fractional Equivalents

Common percentages like 25% = 1/4, 50% = 1/2, and 75% = 3/4 can speed up mental math significantly.

The correct answer is Padma Vibhushan.

Key Points

• K. J. Yesudas is a multilingual singer, singing Indian classical music, devotional, light music, and Film songs.
• His commercially published recordings span multiple genres.
• He was awarded the Padma Shri in 1975, the Padma Bhushan in 2002, and the Padma Vibhushan (second-highest civilian award) in 2017 by the Government of India for his contributions towards the arts.
• Hence, option 1 is correct.

​

Additional Information

• Padma Shri is the fourth-highest civilian award in the Republic of India, after the Bharat Ratna, the Padma Vibhushan, and the Padma Bhushan.
• It is awarded by the Government of India every year on India's Republic Day.
• Established: 1954
• The Bharat Ratna is the highest civilian award of the Republic of India.
• Instituted on 2 January 1954, the award is conferred in recognition of exceptional service/performance of the highest order, without distinction of race, occupation, position, or sex.

Given,

In the mirror image, the top and bottom part of the figure remains the same and left and right part interchanges.

 

∴ 

Hence, the correct answer is

The correct answer is fruits.

Key Points

• The cow has the same relation to milk as the tree has with fruits**.**
• Hence, option 2 is correct.

​

Additional Information

• Milk is a nutrient-rich liquid food produced by the mammary glands of mammals.
• It is the primary source of nutrition for young mammals, including breastfed human infants before they are able to digest solid food.
• Early-lactation milk is called colostrum, which contains antibodies that strengthen the immune system and thus reduces the risk of many diseases.
• It holds many other nutrients, including protein and lactose.
• Interspecies consumption of milk is not uncommon, particularly among humans, many of whom consume the milk of other mammals.

Shortcut Trick

Let the Total Cost Price be 100%.

Fixed Cost = 18%, therefore Variable Cost = 100% − 18% = 82%.

Given, Selling Price = Variable Cost = ₹ 287.

82% ⇒ ₹ 287.

100% ⇒ (287 ÷ 82) × 100 = 3.5 × 100 = ₹ 350.

∴ The correct answer is ₹ 350.

Alternate Method

Given: Selling Price (SP) = ₹ 287, Fixed Cost = 18% of Total Cost (TC).

Formulas: Total Cost = Fixed Cost + Variable Cost | CP = SP ÷ (Variable Cost %)

⇒ Let the Cost Price (CP) of each set be x.

⇒ Fixed Cost = 0.18x.

⇒ Variable Cost = x − 0.18x = 0.82x.

⇒ According to the question, SP = Variable Cost.

⇒ 287 = 0.82x.

⇒ x = 287 ÷ 0.82 = 350.

∴ The correct answer is ₹ 350.

Additional Information

Fixed and Variable Costs

Fixed costs remain constant regardless of production volume, while variable costs change in direct proportion to the number of units produced.

Break-even Point

A situation where Total Revenue equals Total Cost. In this specific problem, the outlet sells at a loss equivalent to its fixed costs.

Concept used:

Follow the BODMAS rule as given below to solve this question

Calculation:

54 ÷ 3² × 6 + 3 = ?

⇒ 54 ÷ 9 × 6 + 3 = ?

⇒ 6 × 6 + 3 = ?

⇒ 36 + 3 = ?

⇒ 39 = ?

∴ The value of ? is 39