RRC Group D Previous Year Paper 33 (Held On: 3 Oct 2018 Shift 2)

The correct answer is option 4 i.e. Ravichandran Ashwin.

• The CEAT Cricket Rating is the first rating system to reward players for the outstanding performance in the cricket on an annual basis from 1995.
• CEAT rating system includes the player's performance in Test Cricket and One Day Internationals format over a period of 12 months from 1 May to 30 April.
• The CEAT Cricket Rating Awards 2019 -
• The Batsman of the year - Virat Kohli
• The Bowler of the Year - Jaspreet Bumrah
• The Test Player of the Year - Cheteshwar Pujara
• | Year | Winners of the CEAT Cricket Rating | | --- | --- | | 2016-17 | Ravichandran Ashwin | | 2018-19 | Virat Kohli | | 2019-20 | Rohit Sharma |

Solution:

Square of 87 = 7569

Square of 93 = 8649

Square of 83 = 6889

Square of 77 = 5929

Hence √7569 = 87

The correct answer is option 2 i.e. 16 group and 3 period

• Sulfur (₁₆S) has a total of 16 electrons (2+8+6=16), and the atomic number of Sulfur is "16".
• Sulfur is placed in the periodic table in place of 16 groups and 3 periods.
• The chemical elements are ordered by the atomic number in the periodic table.
• "Chalcogen" is the Group name of periodic table 16 and classification is "Non-metallic".

Given,

The above graph shows the expenditure of a public sector company ‘ABC’ under different heads for the financial year 2015-16.

Calculation:

The company ABC spend on infrastructure in 2015-2016 = 20 lakh crores.

Drawing the family tree,

Madhuri’s brother’s only sister’s father’s father is her paternal grandfather.

Hence, “paternal grandfather” is the correct answer.

CONCEPT:

• Resistance (R): The resistance offered to the flow of current is known as the resistance.
• SI unit of resistance is the ohm (Ω).
• Mathematically resistance can be written as

$⇒ R = \frac{{\rho l}}{A}$

Where R = resistance, l = length, A = area of cross-section and ρ = resistivity

EXPLANATION:

• That wire is doubled on it means to fold the length of wire. That is its length will get half and the area of the cross-section will get doubled.

Given: R1 = R = 5 Ω 

As we know that the resistance of the wire is,

$\Rightarrow R = \frac{{\rho l}}{A}$

When the wire is doubled then, then its area will increase automatically. But the volume of the wire will be the same.

∴ The volume of original wire = volume of new wire

⇒ A1l1 = A2l2

⇒ A1l1 = A2 l1/2

⇒ A2 = 2A1

• The resistance of the wire in 1st case

$\Rightarrow {R_1} = R = \frac{{\rho {l_1}}}{{{A_1}}}$       ----(1)

• The resistance of the wire in 2nd case

$\Rightarrow {R_2} = \frac{{\rho {l_2}}}{{{A_2}}} = \frac{{\rho {\frac{l_1}{2}}}}{{{2A_1}}} = \frac{{\rho {l_1}}}{{{4A_1}}}$         -----(2)

Divide equation 1 and 2, we get

$\Rightarrow \frac{R}{{{R_2}}} = \frac{{\frac{{\rho {l_1}}}{{{A_1}}}}}{ \frac{{\rho {l_1}}}{{{4A_1}}}} = 4$

⇒ R2 = 5/4 Ω = 1.25 Ω

Concept:

To find the sum, we need to find the LCM of all the values in denominator. This will make denominator the same of each fraction, then, we can add all the values in the numerator very easily.

LCM = Least common multiple (the least value which is divisible by all the values considered)

Example: 2, 3, 4

LCM = 12 (Least value exactly divisible by 2, 3, and 4)

Important Point: We can also consider any multiple of LCM to ease the fractions as done in the solution. But remember, that multiple value will not be the LCM.

Calculation:

$\frac{1}{6} + \frac{1}{{12}} + \frac{1}{{20}} + \frac{1}{{30}} + \frac{1}{{42}} + \frac{1}{{56}}$

$\Rightarrow \frac{{420 + 210 + 126 + 84 + 60 + 45}}{{2520}}$

⇒ 945/2520

Divide numerator and denominator by 315, we get

⇒ 3/8

Option 1 is NOT correct.

• Blood is known as a connective tissue due to it has a matrix.
• The red blood cells called erythrocytes, and white blood cells called leukocytes.
• The vascular system, comprising arteries, capillaries, and veins, and these are supplies oxygen and nutrients to all organs.
• An adult contains blood for approximately 7% (5 to 6 lit) of their total body weight.​
• The life span of human RBC and WBC are respectively 115-120 and 3-5 days.

The pattern followed is,

There are three geometrical figures given in the figures above.

In the first figure three are present straight in a row.

In the second figure square and triangle are immersed inside the circle, which is the last image in the first figure.

In the third figure, three are again straight in a row.

And,

In the fourth figure, circle and square should be immersed in a triangle, which is the last image in the third figure.

The figure which will come next in the series is,

Hence, option 2 is the correct answer.

The correct answer is option 1 i.e. Dalveer Bhandari.

• Judge Dalveer Bhandari won with an overwhelming majority in the United Nations General Assembly for the International Court of Justice.
• The International Court of Justice (ICJ) has a panel of 15 judges.
• They are elected by the General Assembly and Security Council for the tenure of nine-year.
• The court is situated in the Hague, Netherlands.
• The International Court of Justice was established by the League of Nations in June 1945​.

The correct answer is option 2 i.e. less than 5.5.

• When the pH value in the mouth falls below 5.5 then the tooth decay starts.
• It is happened due to the bacteria present in the mouth.
• The Bacteria produce the acid by the degradation of sugar and food particles, which remain in the mouth after eating.
• Acid affects the enamel of teeth and gradually tooth decays.​

The correct answer is option 4 i.e. ​Aditya L1.

• The Aditya L-1 Mission is expected to begin in the year 2020.
• It will closely observe the Sun and study its atmosphere and magnetic field.
• ISRO has classified the Aditya L-1 as a 400 kg-class.
• It will be launched from Polar Satellite Launch Vehicle-XL (PSLV-XL).

Shortcut Trick

Ratio of average ages = 9 : 7. Difference in ratio units = 9 − 7 = 2 units.

Given difference = 12 years ⇒ 2 units = 12 → 1 unit = 6 years.

Average of 3 = 9 × 6 = 54; Average of 2 = 7 × 6 = 42.

Combined Average = [(3 × 54) + (2 × 42)] ÷ 5 = (162 + 84) ÷ 5 = 246 ÷ 5 = 49.2 years.

∴ The correct answer is 49.2 years.

Alternate Method

Given: Ratio of averages = 9 : 7, Difference = 12.

Formula Used: Combined Average = (n₁a₁ + n₂a₂) ÷ (n₁ + n₂)

⇒ Let averages be 9x and 7x.

⇒ 9x − 7x = 12 ⇒ 2x = 12 ⇒ x = 6.

⇒ Average of 3 people (a₁) = 9 × 6 = 54.

⇒ Average of 2 people (a₂) = 7 × 6 = 42.

⇒ Total sum of ages = (3 × 54) + (2 × 42) = 162 + 84 = 246.

⇒ Average of all 5 people = 246 ÷ 5 = 49.2.

∴ The correct answer is 49.2 years.

Additional Information

Weighted Average Formula

When groups have different sizes, the combined average is calculated as A_avg = (n₁A₁ + n₂A₂ + ...) ÷ (n₁ + n₂ + ...).

Ratio and Average Relation

If the averages are in ratio a : b, the individual values are ax and bx where x is the common multiplier found using the given difference or sum.

Bus has an engine and piston is inside an engine.

The correct Venn diagram is,

Hence, option 4 is the correct answer.

The correct answer is option 1 i.e. Period 6

• There are a total of 7 periods in the periodic table.
• The first period contains 2 elements, Hydrogen, and Helium.
• The sixth period of periodic table contains 32 elements.
• It is beginning with cesium and ending with radon.
• Lead (Pb) is currently the last stable element whereas all subsequent elements are radioactive.
• It is tied with Period 7 which also has 32 elements.

According to the given series,

6 6 8 5 5 3 7 3 7 2 5 8 8 7 8 1 5 5 3

There are two 5’s in the above sequence that are completely divisible by the number on their left but not divisible by the number on their right.

Hence, “option 1” is the correct answer.

The correct answer is option 1 i.e. Raised Hammer.

• In a resting state, potential energy is present in an object.
• Example - Water-filled in a drum, oil filled in a bottle, Wood, and potential energy is present in a book on a table.
• Raised Hammer has potential energy in it.
• Due to motion in an object is called kinetic energy of that object.
• Example - In flowing water, the arrow released from the bow, the ball was thrown by the children has kinetic energy.
• It is measured using the unit Joule (J).

The correct answer is Nilgiri Hills.

• "Toda" people are a Dravidian tribes group who live in the Nilgiri Mountains of Tamil Nadu.
• Their huts stand on wooden structures and the roofs are semi-cylindrical and springy.
• Toda people do traditional milk business and trade in Baru and bamboo items.
• Kumaon hills situated in Uttarakhand state and it is called the 'Lake District' of India.
• Khasi Hills located in the Meghalaya state.

According to the given statements,

Statement 1: Arti is six years older than Pranavi.

Statement 2: Pranavi’s sister was born in 1982

Statement 3: Arti’s sister is two years younger than Pranavi’s sister, who is eight years younger than Pranavi

Form statement 3, we can say that Arti’s sister was born in 1984 and Pranavi was born in 1974(from statement 2 Pranavi’s sister is 8 years younger than Pranavi)

From statement 1, Arti is six years older than Pranavi, so Arti was born in 1968

Hence, all the statements are required.

The correct answer is option 4 i.e. Ahmedabad.

• The Sabarmati river is the major west-flowing rivers in India.
• It originates in the Aravalli Range of Rajasthan and falls the Gulf of Khambhat of the Arabian Sea.
• Sabarmati is known as one of the most polluted rivers in India.
• | City | River | | --- | --- | | Ahmedabad | Sabarmati river | | Vadodara | Vishwamitri | | Surat | Tapi river |

Shortcut Trick

The Geometric Mean (G.M.) of the product of corresponding observations in different sets is equal to the product of their individual geometric means.

If sets have G.M.s G₁, G₂, ..., G_r, then G = G₁ × G₂ × ... × G_r.

∴ The correct answer is G₁. G₂ …… G_r.

Alternate Method

Given: r sets of observations with geometric means G₁, G₂, ..., G_r.

Formula Used: log G = (1/n) Σ log x_i

⇒ Let the observations of set 1 be x₁, x₂, ..., x_n. Then G₁ = (x₁ × x₂ × ... × x_n)^1/n.

⇒ Let the observations of set 2 be y₁, y₂, ..., y_n. Then G₂ = (y₁ × y₂ × ... × y_n)^1/n.

⇒ The product set observations are (x₁y₁...z₁), (x₂y₂...z₂), ..., (x_ny_n...z_n).

⇒ G = [(x₁y₁...z₁) × (x₂y₂...z₂) × ... × (x_ny_n...z_n)]^1/n

⇒ G = [(x₁x₂...x_n) × (y₁y₂...y_n) × ... × (z₁z₂...z_n)]^1/n

⇒ G = (x₁x₂...x_n)^1/n × (y₁y₂...y_n)^1/n × ... × (z₁z₂...z_n)^1/n

⇒ G = G₁ × G₂ × ... × G_r

∴ The correct answer is G₁. G₂ …… G_r.

Additional Information

Logarithmic Property of G.M.

The logarithm of the geometric mean of a set of observations is the arithmetic mean of their logarithms: log G = (1/n) Σ log x_i.

Combined Geometric Mean

For two groups of sizes n₁ and n₂ with G.M.s G₁ and G₂, the combined G.M. (G) is given by: log G = (n₁ log G₁ + n₂ log G₂) / (n₁ + n₂).

Relationship with AM and HM

For any set of positive observations: AM ≥ GM ≥ HM. They are equal only if all observations are identical.

The correct answer is option 2 i.e**. Hydrogen**.

• Hydrogen is a chemical element and it is contained in the first periods of the periodic table.
• Hydrogen is represented by a symbol "H" and with the atomic number "1".
• Hydrogen is **colorless, odorless, nonmetallic, and tasteless.**​
• | Element | Symbol | Atomic Number | | --- | --- | --- | | Gold | Au | 79 | | Mercury | Hg | 80 | | Carbon | C | 6 |

The correct answer is option 1 i.e. Chetan Bhagat.

• The author of the book "One Indian Girl" is Chetan Bhagat.
• Chetan Prakash Bhagat is a famous Indian author, Bollywood screenwriter, and inspirational speaker.
• He was written many famous novels like - The Girl in Room 105 (2018), One Indian Girl (2016), Half Girlfriend (2014), etc.
• | Famous Book | Author | | --- | --- | | The Heart of India | Mark Tully | | The Everything Store: Jeff Bezos and the Age of Amazon | Brad Stone. | | Keepers of the Kalachakra | Ashwin Sanghi |

The correct answer is option 3 i.e. Sanjay Gubbi and Purnima Burman.

• The Whitley Awards is known as Green Oscars – It is a prestigious international award for the contribution to nature conservation.
• Each Award Winner receives a prize worth £40,000 in project funding for one year.
• The two Indian activists won the annual Whitley Awards, for their contribution in the field of animal and bird conservation in India.
• Purnima Barman (Assam) and Sanjay Gubbi (Karnataka) won the prestigious ‘Green Oscars’ Award.
• The Whitley Awards is established in 1994 by Edward Whitley.

The correct answer is option 2 i.e. 18**.**

• The noble gases (Group 18) are found on the right side of the periodic table.
• The noble gas-filled its valence shells and do not participate in any chemical reactions.
• Total 7 noble gases found in group 18 like Helium (He), (Neon) Ne, Argon (Ar), Krypton (Kr), etc.
• Neon (Ne) is most useful for its use of lighting and signs.
• Helium (He) is the second most abundant element in the cosmos.

Shortcut Trick

Upstream Speed (u) = Distance ÷ Time = 38 ÷ 4 = 9.5 km/h.

Speed of Stream (y) = Speed in Still Water (x) − Upstream Speed (u).

y = 12 − 9.5 = 2.5 km/h.

∴ The correct answer is 2.5 km/h.

Alternate Method

Given:

Speed of boat in still water (x) = 12 km/h

Upstream distance = 38 km

Time taken = 4 hours

Formula Used:

Upstream Speed (u) = Speed in still water (x) − Speed of stream (y)

Speed = Distance ÷ Time

Calculations:

⇒ Upstream Speed = 38 ÷ 4

⇒ Upstream Speed = 9.5 km/h

⇒ 9.5 = 12 − Speed of stream (y)

⇒ y = 12 − 9.5

⇒ y = 2.5 km/h

∴ The correct answer is 2.5 km/h.

Additional Information

Downstream Speed

When the boat moves with the flow of the stream, Downstream Speed (v) = x + y.

Speed in Still Water

Calculated as the average of Downstream and Upstream speeds: x = (v + u) ÷ 2.

Speed of Stream

Calculated as half the difference between Downstream and Upstream speeds: y = (v − u) ÷ 2.

The correct answer is option 3 i.e. speeds down.

• ​When the light rays travel from rarer medium to denser medium then they bend towards normal.
• In this case angle of refraction is smaller than the angle of incidence.
• When the light rays travel from denser medium to rarer medium then they bend away from the normal.
• In this case, the angle of refraction is greater than the angle of incidence.

The correct answer is option 1 i.e Race walk.

• Gurmeet Singh won a gold medal 20 km race walk in a time of 1:20:29 in the Asian Games event 2016.
• His career turned around when he started to take training at Sports Authority of India, Bangalore center.
• Gurmeet Singh belongs to Uttarakhand, India.

Shortcut Trick

Given: (x − 2)² − 36 = 0

⇒ (x − 2)² = 36

Take square root on both sides: x − 2 = ±6

Case 1: x − 2 = 6 → x = 8

Case 2: x − 2 = −6 → x = −4

Since x ∈ N (Natural Number), discard negative value.

∴ The correct answer is 8.

Alternate Method

Given: (x − 2)² − 36 = 0 where x ∈ N

Formula Used: a² − b² = (a − b)(a + b)

⇒ (x − 2)² − 6² = 0

⇒ [(x − 2) − 6][(x − 2) + 6] = 0

⇒ (x − 8)(x + 4) = 0

⇒ x − 8 = 0 or x + 4 = 0

⇒ x = 8 or x = −4

⇒ Condition: x must belong to the set of natural numbers {1, 2, 3, ...}.

⇒ x = 8 is a natural number, while x = −4 is an integer but not a natural number.

∴ The correct answer is 8.

Additional Information

Natural Numbers (N)

Natural numbers are the set of positive integers starting from 1 {1, 2, 3, 4, ...}. They do not include zero, negative numbers, or fractions.

Difference of Squares Identity

The identity a² − b² = (a − b)(a + b) is a fundamental algebraic tool used to factorize quadratic expressions.

Quadratic Roots Property

A quadratic equation of the form ax² + bx + c = 0 will have at most two real roots. Always check if the roots satisfy the domain constraints (like x ∈ N or x ∈ Z) given in the question.

The correct answer is option 4 i.e. Connective.

• Bone tissue is a type of connective tissue.
• Bone tissue is made of different types of bone cells.
• Three types of cells in bone - Osteoblasts, Osteocytes, and Osteoclasts.
• Osteoblasts are responsible for making bone for growth and remodelling.
• There are 3 types of bone tissue
• Compact tissue - It is a hard (Outer part of bones).
• Cancellous tissue -  It is sponge-like tissue (inside bones).
• Subchondral tissue - Cartilage

Shortcut Trick

Ratio of students in G₁ : G₂ : G₃ = 20 : 40 : 60 = 1 : 2 : 3

Weighted Average = [(Ratio₁ × Avg₁) + (Ratio₂ × Avg₂) + (Ratio₃ × Avg₃)] ÷ Total Ratio

Weighted Average = [(1 × 50) + (2 × 60) + (3 × 70)] ÷ (1 + 2 + 3)

Weighted Average = (50 + 120 + 210) ÷ 6 = 380 ÷ 6 ≈ 63.33%

∴ The correct answer is 63%.

Alternate Method

Given:

Students in G₁ = 20, Average = 50%

Students in G₂ = 40, Average = 60%

Students in G₃ = 60, Average = 70%

Formula Used:

Combined Average = (n₁a₁ + n₂a₂ + n₃a₃) ÷ (n₁ + n₂ + n₃)

Calculations:

⇒ Total marks of G₁ = 20 × 50 = 1000

⇒ Total marks of G₂ = 40 × 60 = 2400

⇒ Total marks of G₃ = 60 × 70 = 4200

⇒ Sum of marks of all students = 1000 + 2400 + 4200 = 7600

⇒ Total number of students = 20 + 40 + 60 = 120

⇒ Average marks of college = 7600 ÷ 120

⇒ Average marks = 760 ÷ 12 = 190 ÷ 3

⇒ Average marks = 63.333...

∴ The correct answer is 63%.

Additional Information

Weighted Average Formula

The weighted average is calculated as ∑(w_i × x_i) ÷ ∑w_i, where w represents weights (quantity) and x represents values (average).

Combined Average for Two Groups

If two groups have sizes n₁, n₂ and averages a₁, a₂, the combined average is (n₁a₁ + n₂a₂) ÷ (n₁ + n₂).

Deviation Method

Assume a base average (e.g., 60%) and calculate the net deviation. New Average = Assumed Average + (Net Deviation ÷ Total Students).

The correct answer is option 3 i.e. Carbon.

• The Carbon element consists of only one letter is "C" and its atomic number is 6.
• Carbon is related to group 14 of the periodic table.
• Carbon is the fourth most abundant element in the whole universe.
• It is the second most abundant element in human bodies, the first is Oxygen.
• Diamond and graphite are the two major allotropes the Carbon.
• Carbon is known as the "king of the elements".

The correct answer is option 1 i.e. 390 AD.

• The scholars at his court were the astronomer Varahamihira and the Sanskrit poet and dramatist Kalidasa.
• Chandragupta II is known as Vikramaditya, a powerful emperor (380-415 AD) of northern India.
• He was the son of Samudra Gupta who established a vast empire.
• Chandragupta II subjugated (From 388 to 409 AD) Gujarat, the north of Bombay, Saurashtra, in western India, and Malwa.
• The famous astronomer Varahamihira and the Sanskrit poet and dramatist Kalidasa were lived in the court of Chandragupta II.

The correct answer is option 4 i.e. Konkani Literature.

Saraswati Samman is an annual award given Indian citizens for their outstanding literary work written.

• It was given in any 22 Indian languages mentioned in Schedule VIII.
• It was established in 1991 by the K. K. Birla Foundation.
• The first inaugural award was given to Harivanshrai 'Bachchan' for his four-volume autobiography.
• The famous Konkani writer Mahabaleshwar Sail was awarded on 31 August 2016 for his novel 'Hawthan'.

Shortcut Trick

Let the three prime numbers be A, B, and C.

Given: A × B = 1147 and B × C = 1517.

The common factor B is the HCF of 1147 and 1517.

HCF(1147, 1517) = 37. Thus, B = 37.

A = 1147 ÷ 37 = 31 and C = 1517 ÷ 37 = 41.

∴ The correct answer is 31, 37, 41.

Alternate Method

Given: Product of first two numbers = 1147; Product of last two numbers = 1517.

⇒ Let the numbers be A, B, and C.

⇒ A × B = 1147

⇒ B × C = 1517

⇒ (A × B) ÷ (B × C) = 1147 ÷ 1517

⇒ A / C = 1147 / 1517

⇒ Divide both by their HCF (37): 1147 = 31 × 37 and 1517 = 37 × 41

⇒ A = 31, B = 37, C = 41

∴ The correct answer is 31, 37, 41.

Additional Information

Prime Numbers

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

HCF of Products

If two products share a common prime factor, that factor must be the Highest Common Factor (HCF) of the two product values.

Co-prime Numbers

Two numbers are co-prime if their only common factor is 1. All distinct prime numbers are co-prime to each other.

Instrument is an object that is played to produce musical sounds.

Similarly,

Bell is a hollow metal object that sounds a clear musical note when stuck and make a ringing sound.

‘Ring’ is related to the third word on the same basis as the second word is related to the first word.

Hence, “ring” is the correct answer.

Drawing the Venn diagram,

Conclusion 1: All cars are ships → False (This is possible but not definite)

Conclusion 2: Some buses are cars → True (This is definitely true)

Hence, “only conclusion 2” follows.

Important Points 

Some is a subset of all.

If it is given that, 'All A are B' then the conclusion 'Some A are B' will always follow.

Given:

G = (96 ÷ 12) + 14 × (12 + 8) ÷ 2

Concept:

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

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Calculation:

G = (96 ÷ 12) + 14 × (12 + 8) ÷ 2

⇒ G = 8 + 14 × 20 ÷ 2

⇒ G = 8 + 14 × 10

⇒ G = 8 + 140

⇒ G = 148

∴ One fourth of G = 1/4 × 148 = 37

The correct answer is option 3 i.e. 4 m.

• Mass of the object = 12 kg
• Potential energy = 480 J
• Potential energy is given by
• Potential energy (P) = m × g × h
• 480 = 12 × 10 × h
• h = 4 m
• The object is at a height of 4 m from the ground.

Shortcut Trick

In a Fibonacci series starting with 0 and 1, list the terms by summing the previous two.

Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

The 10^th number (counting from F₀ as the 1^st term) is 34.

∴ The correct answer is 34.

Alternate Method

Given: F₀ = 0, F₁ = 1 and the recurrence relation F_n = F_n−1 + F_n−2.

0

+1 →

1

+1 →

1

+2 →

2

+3 →

3

+5 →

5

+8 →

8

+13 →

13

+21 →

21

+34 →

34

⇒ 1^st term (F₀) = 0

⇒ 2^nd term (F₁) = 1

⇒ 3^rd term (F₂) = 0 + 1 = 1

⇒ 4^th term (F₃) = 1 + 1 = 2

⇒ 5^th term (F₄) = 1 + 2 = 3

⇒ 6^th term (F₅) = 2 + 3 = 5

⇒ 7^th term (F₆) = 3 + 5 = 8

⇒ 8^th term (F₇) = 5 + 8 = 13

⇒ 9^th term (F₈) = 8 + 13 = 21

⇒ 10^th term (F₉) = 13 + 21 = 34

∴ The correct answer is 34.

Additional Information

Fibonacci Sequence Properties

Each term is the sum of the preceding two terms. The ratio of consecutive terms approaches the Golden Ratio (φ ≈ 1.618).

Binet's Formula

The n^th Fibonacci number can be found using F_n = [φⁿ − (−φ)⁻ⁿ] / √5, where φ = (1 + √5) / 2.

The correct answer is option 4 i.e. 3600000 J

• When a 1000 watt electrical appliance is used for an hour then, 1 Kwh is electrical energy consumed.
• The unit of energy is the watt and 1 Watt = 1 Joule /second.
• (One kilowatt-hour is equal to the energy of 1,000 joules)
• One kilowatt-hour = 1000 × 3600 = 3600000 J or 3.6 Megajoules
• Work is done in terms of joules and this is per second.

Given,

The total revenue made by the restaurant in NOV 2017 was 35 lakhs.

Revenue made by the restaurant “XYZ” through the sales of Chinese food items is = 5%

Calculation:

Revenue made by the sales of Chinese food items = 5% of 35

⇒ 35 × 5/100

⇒ 1.75 lakhs

The correct answer is option 2 i.e. ms-2.

Key Points

• Earth pulls an object towards its center. The acceleration generated due to this force is called gravity acceleration (g).
• In SI units this acceleration is measured in meters per second squared (m/s²).
• The acceleration due to the gravity of the earth is referred to as 'g'.
• The approximate value of the acceleration due to the gravity of the earth is **9.8 m/**s2.
• The weight of an object on the Earth's surface is the downwards force on that object.
• It was explained by Newton's second law of motion or F = ma.

The number of squares in the given figure is,

Hence, “12” is the correct answer.

The correct answer is option 4 i.e. Raj Kumar Rao.

• In the Newton movie, Raj Kumar Rao plays the lead role was a satire on India's election process.
• Rajkummar Rao is known as Rajkumar Yadav, an Indian actor.
• He established a career in Hindi cinema and is the recipient of several awards, as a National Film Award and three Filmfare Awards, etc.
• Newton was awarded the National Film Award for the Best Feature Film in Hindi.
• Pankaj Tripathi won a special mention at 65th National Film Awards in 2018.

Shortcut Trick

In such problems, the time difference between walking and riding is constant.

Time for (Walk + Ride) = 13/2 = 6.5 hours.

Time for (Walk + Walk) = 31/4 = 7.75 hours.

Time for (Ride + Ride) = 2 × (Walk + Ride) − (Walk + Walk) = 2 × 6.5 − 7.75 = 13 − 7.75 = 5.25 hours.

5.25 hours = 5 hours + 0.25 × 60 min = 5 h 15 min.

∴ The correct answer is 5 h 15 min.

Alternate Method

Given:

Time for Walk (W) + Ride (R) = 13/2 hours = 6.5 hours

Time for Walk (W) + Walk (W) = 31/4 hours = 7.75 hours

Calculations:

⇒ 2W = 7.75 hours

⇒ W = 7.75 ÷ 2 = 3.875 hours

⇒ W + R = 6.5 hours

⇒ 3.875 + R = 6.5

⇒ R = 6.5 − 3.875 = 2.625 hours

⇒ Time for Ride both ways = 2R = 2 × 2.625 = 5.25 hours

⇒ 5.25 hours = 5 hours + (0.25 × 60) min = 5 hours 15 minutes

∴ The correct answer is 5 h 15 min.

Additional Information

Two-way Travel Logic

In constant distance problems, (T_Walk + T_Ride) is always the average of (T_{Both Walk}) and (T_{Both Ride}).

Unit Conversion

To convert decimal hours to minutes, multiply the decimal part by 60. Example: 0.25 hours = 0.25 × 60 = 15 minutes.

Given,

The given bar graph shows the sales revenue of steel company ‘ABC’ for the past four years

To Find:

The total sales revenue in 2015 (in million $)

Calculation:

The total sales revenue in 2015 is = 8 million $

Given,

Kiran cover 360 m distance in = 2 min

Concept:

Average speed = Total distance/total time

Average velocity = Displacement/Time taken

Where, Displacement = distance between the starting and finishing point

Calculation:

∵ Kiran swims from one end to the other and returned to the same starting point.

⇒ Displacement = 90 – 90 + 90 – 90 = 0 m

1 min = 60 sec

∴ Average velocity of Kiran = 0/120 = 0 ms^-1

The pattern followed is,

Similarly,

Hence, “ZMG” is the correct answer.

The correct answer is option 2 i.e. Distance.

• A light-year unit uses for the measuring of the long distance.
• A light-year is a distance which "light can cover in one year".
• The Light moves at a velocity of about 300,000 kilometers per second.
• Thus, Light can travel about 10 trillion km.
• The light-year unit used to denotes astronomical distances and measures about 9.46 trillion kilometers (9.46 × 1012 km).

The correct answer is Ligament.

Key Points

• Ligament - It connects bones to other bones.
• Areolar - It holds organs in place and attaches epithelial tissue to other tissues.
• Tendon - It connects muscle to bone and is capable of withstanding tension.
• Cartilage - It is rubber-like padding that covers and protects the ends of long bones at the joints.

Shortcut Trick

Mass of solution = 31 + 320 = 351 g

Concentration % = (31 ÷ 351) × 100

Since 31 × 11 ≈ 341 and 31 × 12 ≈ 372, the answer must be between 8% and 9.5%.

Calculating 3100 ÷ 351 ≈ 8.83%

∴ The correct answer is 8.83%.

Alternate Method

Given:

Mass of solute (common salt) = 31 g

Mass of solvent (water) = 320 g

Formula Used:

Mass percentage = [Mass of solute ÷ (Mass of solute + Mass of solvent)] × 100

Calculations:

⇒ Total Mass of Solution = 31 g + 320 g = 351 g

⇒ Mass percentage = (31 ÷ 351) × 100

⇒ Mass percentage = 3100 ÷ 351

⇒ Mass percentage = 8.8319...

⇒ Mass percentage ≈ 8.83%

∴ The correct answer is 8.83%.

Additional Information

Mass by Volume Percentage

It is the mass of solute dissolved in 100 mL of solution. Formula: (Mass of solute ÷ Volume of solution) × 100.

Volume by Volume Percentage

Used for liquid-in-liquid solutions. Formula: (Volume of solute ÷ Total volume of solution) × 100.

Solubility

The maximum amount of solute that can be dissolved in a specific amount of solvent at a specific temperature.

The correct answer is option 2 i.e. The Goods and Service Tax.

• The GST was purposed as a “One Market, One Nation, One Tax” reform.
• The Goods and Services Tax (GST), was the biggest tax reform since Independence in India.
• Conceived on the principle of 'one nation, one tax, one market', the tax that includes 17 central and state levies*.*
• The tax came into effect from 1 July 2017 through the of the 101st Amendment by the Indian government.
• The GST Council approved four main tax slabs - 5%, 12%, 18 %, and 28%.

The correct answer is option 3 i.e. Odometers.

• Archimedes principle explains that the buoyant force applied by the fluid is equal to the weight of the displaced fluid.
• Submarine - It also works on the ‘law of flotation’ and ‘the principle of Archimedes’.
• Hydrometer - From this, the specific density of the liquids is extracted and their purity is tested.
• Lactometer  - It is an Instrument used for finding the purity of a milk sample.
• Odometer - It is an instrument for measuring the distance by a wheeled vehicle. It doesn't depend on the Archimedes principle.

The correct answer is Directive Principles of State Policy.

• Part IV (Article 36-51) of the Indian Constitution is related to Directive Principles of our State Policy.
• It is not enforceable by any court but these are fundamental in the governance of the country.
• It is the duty of the government to apply these principles in law-making.
• These principles have been taken from the Constitution of Ireland.

Given,

7² = 49

67² = 449

Concept:

We can see the pattern

⇒ 7² = 49: 7 Has 1 digit, then frequency of 4 from the starting is 1 and unit digit is 9.

⇒ 67² = 4489: 67 Has 2 digit, then the frequency of 4 from the starting is 2 and 6 comes in 1 time, then 8 comes in 1 time and the unit digit is 9.

Calculation:

⇒ 667² = Has 3 digit, then the frequency of 4 from the starting is 3 and 6 comes 2 times, then 8 will come 2 times and the unit digit is 9.

∴ 667² = 444889

The pattern followed is,

In row one, there is a star symbol given in each column and the number of circles keeps on decreasing form four to two.

And,

In row two, there is a square symbol given in each column and the number of circles keeps on decreasing form four to two.

Similarly,

In row three, there is an arc symbol given in each column and the number of circles keeps on decreasing form four to two.

The figure which will fit the blank is,

Hence, option 4 is the correct answer.

According to the given information,

Conclusion 1: This follows, because Rannu asked Sharmu about the parking sign, which tells us that he knows the meaning of no parking sign.

Conclusion 2: This also follows, because Rannu asked Sharmu not to park the vehicle where there is no parking sign, which tells us that Sharmu does not follow the road rules.

Hence, “both conclusions 1 and 2” follow.

The correct answer is option 4 i.e. Sardar Singh.

• Sardar Singh was awarded the Rajiv Gandhi Khel Ratna award for Hockey in 2017.
• The Rajiv Gandhi Khel Ratna award in Sports is the highest sporting honor of India.
• It is awarded by the Ministry of Youth Affairs and Sports.
• The first recipient of the award was Viswanathan Anand, who was the country's first chess Grandmaster.
• Deepa Malik and Bajrang Punia are awarded the Rajiv Gandhi Khel Ratna award for Athletics and Wrestling respectively in 2019.

The correct answer is option 4 i.e. Shah Rukh Khan.

• Shah Rukh Khan became the most-followed Indian celebrity on twitter site with 39 million followers.
• Shah Rukh Khan overtook emperor Amitabh Bachchan in reference to followers on Twitter.
• Priyanka Chopra was the first Bollywood celebrity to visit the Twitter headquarters in New York.
• Amitabh Bachchan is one of the most active Bollywood personalities on Twitter.

Mistake Points

• Answer is according to year 2018  , currently Mr Amitabh Bachchan has maximum foolowes on Twitter as an Indian Actor.

Shortcut Trick

Sum of all four interior angles of a quadrilateral is always 360°.

Sum of the two given angles = 65° + 65° = 130°.

Sum of the remaining two equal angles = 360° − 130° = 230°.

Value of each of the other two angles = 230° ÷ 2 = 115°.

∴ The correct answer is 115°.

Alternate Method

Given:

Two angles of the quadrilateral = 65° each.

The other two angles are equal. Let each of them be x.

Formula Used:

Sum of interior angles of a quadrilateral = 360°.

Calculations:

⇒ 65° + 65° + x + x = 360°

⇒ 130° + 2x = 360°

⇒ 2x = 360° − 130°

⇒ 2x = 230°

⇒ x = 230° ÷ 2

⇒ x = 115°

∴ The correct answer is 115°.

Shortcut Trick

Average age of 6 Persons = 105 ÷ 6 = 17.5 years.

For an even number of terms in Arithmetic Progression, the average is the mean of the two middle terms (3^rd and 4^th).

Middle gap = 5 years ⇒ 4^th person's age = 17.5 + (5 ÷ 2) = 20 years.

Age of the oldest person (6^th) = 20 + 5 + 5 = 30 years.

∴ The correct answer is 30 years.

Alternate Method

Given:

Total persons = 6

Age interval = 5 years

Sum of ages = 105 years

Let the age of the youngest person be x.

The ages of the 6 persons are x, (x + 5), (x + 10), (x + 15), (x + 20), and (x + 25).

⇒ x + (x + 5) + (x + 10) + (x + 15) + (x + 20) + (x + 25) = 105

⇒ 6x + (5 + 10 + 15 + 20 + 25) = 105

⇒ 6x + 75 = 105

⇒ 6x = 105 − 75

⇒ 6x = 30

⇒ x = 5 years

⇒ Age of the oldest person = x + 25 = 5 + 25 = 30 years.

∴ The correct answer is 30 years.

Additional Information

Arithmetic Progression (AP) Sum

The sum of an AP is S_n = (n/2) × [2a + (n − 1)d], where 'a' is the first term and 'd' is the common difference.

Average Property of AP

The average of any AP is equal to the average of the first and last terms: Average = (First Term + Last Term) ÷ 2.

Middle Term Calculation

For an odd number of terms (n), the average is exactly the middle term. For an even number (n), it is the average of the two central terms.

Given:

<br>

Concept:

Firstly we have to calculate the number of days and then the time followed by it.

For Calculate Number of Days, we have to find the exact days i.e., from 11 April 2019 to 12 April 2020 (as Time period for 12^th April 2020 is less than 24 hours)

Number of Days in normal year = 365 days

Number of days in leap year = 366 days (and the extra day falls on February)

Calculation:

Number of Days = 11 April 2019 to 11 April 2020 = 366 days (As 2020 is a leap year)

Time = 11^th April 2020 (12:37 pm) to 12^th April 2020 (12:29 pm)

The difference in Time = 23 hours 52 minutes

∴ Required Answer = 366 days 23 hours 52 minutes

While calculating the number of Days, we use 365 days instead of 366 days (as they considered the year is not completed).

While calculating the time duration, Many of the candidates subtracted bigger value to smaller i.e, 37 minutes - 29 minutes (which is incorrect). We have to find the time difference from 37 minutes to 60 minutes first (i.e, 23 minutes) and then added these 23 minutes in 29 minutes of the next hour. (22 + 29 = 52 minutes).

The pattern followed is,

The place value of A is 1

The place value of D is 4

The place value of E is 5

The place value of F is 6

In the given pattern, the place values of A, D and F are correct.

Whereas,

The place value of E is given as 6, instead of 5.

Hence, option 2 is the odd one.

The mirror image of the given figure if the mirror is placed at line MN is,

Hence, option 2 is the correct answer.

The pattern followed is,

Hence, “35” is the correct answer.

The correct answer is option 1 i.e. Rheostat.

• The rheostat is an electrical device consist of magnum wire with the cylinder and three-terminal.
• It is used for the three purpose - 
• The Resistance varies
• Current controlling device
• Voltage divider
• The ammeter is an instrument used for measuring electric current in amperes.
• The resistor is an electrical component that is used to reduces the electric current.

The correct answer is option 1, i.e. 17.

Given, 

The formula for the height of the rocket above the ground at any time during the rocket's flight: h = 119t - 7t²

where, t = time in seconds

h = height in meters

Now, it is given that value of h, is 0 when the rocket hit the ground so,

0 = 119t - 7t²

0 = 7t(t - 17)

The values of t are 0 and 17.

So, the rocket hit the ground after 17 seconds of its launch.

The correct answer is option 4 i.e. Dissolving sulphuric acid in water.

• Sulfuric acid (H₂SO₄) is a strong mineral acid and soluble in water at all concentrations.
• The Sulphuric acid reaction with water is highly exothermic.
• If water is mixed to concentrated sulphuric acid, it acts to boil and spits.
• Sulphuric acid was discovered by alchemist Jabir ibn Hayyan in 8th century.
• Sulphuric acid has a very high affinity for the water.

Shortcut Trick

Total Simple Interest percentage = Rate × Time

⇒ 4% × 5 years = 20%

Interest Accrued = 20% of ₤1475

⇒ (1/5) × 1475 = 295

∴ The correct answer is ₤295.

Alternate Method

Given:

Principal (P) = ₤1475

Rate (R) = 4% per annum

Time (T) = 5 years

Formula Used:

Simple Interest (SI) = (P × R × T) ÷ 100

Calculations:

⇒ SI = (1475 × 4 × 5) ÷ 100

⇒ SI = (1475 × 20) ÷ 100

⇒ SI = 1475 ÷ 5

⇒ SI = 295

∴ The correct answer is ₤295.

Additional Information

Total Amount

The total sum of money payable at the end of the period is called the Amount. Formula: A = Principal + Simple Interest.

Simple Interest Characteristics

In Simple Interest, the interest is always calculated only on the original Principal amount for every year of the loan duration.

SI vs CI for Year 1

For the first year (if interest is compounded annually), the Simple Interest and Compound Interest on the same principal and rate are always equal.

The correct answer is option 4 i.e. Sumitra Mahajan.

• The Speaker of the Lok Sabha is the presiding officer of the lower house (Loksabha) of the Parliament of India.
• Sumitra Mahajan was the Speaker of 16th Loksabha from 2014 to 2019.
• Ganesh Vasudev Mavalankar was the first Speaker of 1st Loksabha (15 May 1952).

Important Points

• Om Birla is the current Speaker of 18th Lok Sabha.

The correct answer is option 2 i.e. Ibrahim Lodi

• Daulat Khan Lodi was the governor of Lahore in the reign of Ibrahim Lodi.
• Ibrahim Lodi was the last king of the Lodi dynasty.
• Ibrahim was defeated by Babur in 1526 at the Battle of Panipat.
• Daulat Khan sent his son, Ghazi Khan Lodi, to Delhi to know more about the state's situation in the government.
• Then, Ghazi Khan told his father about Ibrahim Lodi's planning that Ibrahim was planning to remove his governorship.
• In response, Daulat Khan showed his loyalty by sending messengers to Babur in Kabul.
• In exchange for assistance against Ibrahim Lodi, Babur agreed.

Shortcut Trick

Effective Cost Price (CP) of Reema = 75,000 + 10,000 = 85,000.

Successive multipliers: 15% profit = 115/100 and 10% profit = 110/100.

Final Price (Ritu) = 85,000 × (115/100) × (110/100).

Final Price = 850 × 1.15 × 110 = 85 × 115 × 11 = 1,07,525.

∴ The correct answer is Rs. 1,07,525.

Alternate Method

Given → Initial Cost = Rs. 75,000, Repair Cost = Rs. 10,000, Profit₁ = 15%, Profit₂ = 10%. Formulas: Total CP = Purchase Price + Overhead | SP = CP × (100 + P%)/100.

⇒ Total Cost Price for Reema = 75,000 + 10,000 = Rs. 85,000. ⇒ Selling Price for Reema (Chiru's CP) = 85,000 × (115/100) = Rs. 97,750. ⇒ Selling Price for Chiru (Ritu's CP) = 97,750 × (110/100) = Rs. 1,07,525. ∴ The correct answer is Rs. 1,07,525.

Additional Information

Overhead Expenses

Any extra money spent on repairs, transport, or labor after buying an item is added to the Original Cost Price to get the Effective Cost Price.

Successive Percentage Change

When a price is increased multiple times, the net change is calculated using the formula: Result = Initial × (1 + r₁/100) × (1 + r₂/100).

The correct answer is option 3 i.e. Sankalp Parva.

• The Central Government had decided to celebrate August 15, 2017, Independence Day as "Sankalp Parv".
• The government appealed to the people to dedicate themselves to social causes and share their ideas to make a New India.
• August 15, 2017, was celebrated as the 'Sankalp Parva'.
• In August 2022, India will complete 75 years as an independent nation.

According to the given information,

Hence, Ramesh is the father of that person.

Shortcut Trick

Let the efficiency of filling pipes be positive and draining pipe be negative.

Combined efficiency (1/30 + 1/45 − 1/C) = 1/27

Total work (LCM of 30, 45, 27) = 270 units.

Efficiencies: Pipe A = 9, Pipe B = 6, Combined (A+B+C) = 10.

Efficiency of Pipe C = (9 + 6) − 10 = 5 units.

Time for Pipe C = 270 ÷ 5 = 54 min.

∴ The correct answer is 54 min.

Alternate Method

Given:

Time taken by Pipe A = 30 min

Time taken by Pipe B = 45 min

Time taken by (A + B + C) = 27 min (where C is the outlet pipe)

Calculations:

⇒ Efficiency of Pipe A = 270 ÷ 30 = 9 units/min

⇒ Efficiency of Pipe B = 270 ÷ 45 = 6 units/min

⇒ Combined efficiency of (A + B + C) = 270 ÷ 27 = 10 units/min

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

⇒ Efficiency of Pipe C = 10 − (9 + 6) = 10 − 15 = −5 units/min

⇒ (The negative sign indicates it is an outlet/drain pipe)

⇒ Time taken by Pipe C alone to empty the tank = Total Capacity ÷ Efficiency of C

⇒ Time = 270 ÷ 5 = 54 min

∴ The correct answer is 54 min.

Additional Information

Inlet and Outlet Pipes

Inlet pipes fill the tank (positive work) while outlet pipes empty the tank (negative work). Net work per unit time is the algebraic sum of their efficiencies.

LCM Method for Capacity

To simplify calculations, assume the total capacity of the tank as the Least Common Multiple (LCM) of the individual times given in the problem.

Efficiency Formula

Efficiency = Total Work ÷ Time Taken. Total time taken to complete a task = Total Work ÷ Combined Efficiency.

According to the given figures,

Figure which is outside rotates 135^∘ clockwise direction and figure which is inside rotates

135^∘ anti clockwise direction

The figure which will come next in the pattern is,

Hence, option 1 is the correct answer.

Shortcut Trick

Relative Speed concept: The first train travels for 2 hours before the second starts.

Initial gap = 40 km/hr × 2 hr = 80 km.

Relative speed required to cover 80 km in 4 hours = 80 ÷ 4 = 20 km/hr.

Speed of second train = Speed of first train + Relative speed = 40 + 20 = 60 km/hr.

∴ The correct answer is 60 km/hr.

Alternate Method

Given: Speed of 1^st train = 40 km/hr, Time headstart = 2 hours, Time taken to catch up = 4 hours.

Formula: Distance = Speed × Time

⇒ Total time traveled by Train 1 = 2 + 4 = 6 hours.

⇒ Distance covered by Train 1 = 40 × 6 = 240 km.

⇒ Total time traveled by Train 2 = 4 hours.

⇒ Since they meet at the same point, Distance by Train 2 = 240 km.

⇒ Speed of Train 2 = Distance ÷ Time = 240 ÷ 4.

⇒ Speed of Train 2 = 60 km/hr.

∴ The correct answer is 60 km/hr.

Additional Information

Relative Speed (Same Direction)

When two objects move in the same direction, the relative speed is the difference between their speeds: V_rel = V₁ − V₂.

Meeting Time Formula

Time to catch up = (Initial Distance Gap) ÷ (Relative Speed). Here, 4 = (40 × 2) ÷ (V − 40).

Average Speed

If a body covers two equal distances at speeds x and y, the Average Speed = 2xy ÷ (x + y).

The correct answer is option 4 i.e. Work and energy.

• The standard unit of energy and work is the joule (J).
• The SI unit of pressure is the "Pascal".
• The SI unit of force is the "Newton".
• The SI unit of momentum is "Kilogram meters per second".

The correct answer is option 1 i.e. Kaasav

• The National Film Awards is the most famous film award ceremony in India.
• It was established by the Ministry of Information and Broadcasting in India in 1954.
• "Kaasav" is an Indian (Marathi-language) film released on 6 October 2017.
• It was directed by filmmaker duo Sumitra Bhave–Sunil Sukthankar.

The above figure is embedded in,

Hence, option 4 is the correct answer.

The pattern followed is,

Hence, “V – 22, X – 24” is the correct answer.

Shortcut Trick

Apply the percentage reduction formula: [r / (100 + r)] × 100

Here, r = 25%

Reduction % = [25 / (100 + 25)] × 100

Reduction % = [25 / 125] × 100 = 1/5 × 100 = 20%

∴ The correct answer is 20%.

Alternate Method

Given: Sham's marks are 25% more than Divya's marks.

Let Divya's marks = 100 units

⇒ Sham's marks = 100 + 25% of 100 = 125 units

⇒ Difference = 125 − 100 = 25 units

⇒ Required Percentage = (Difference / Sham's marks) × 100

⇒ Percentage = (25 / 125) × 100

⇒ Percentage = 1/5 × 100 = 20%

∴ The correct answer is 20%.

Additional Information

Percentage Change Comparison

If A is R% more than B, then B is [R / (100 + R)] × 100 % less than A.

Percentage Decrease Comparison

If A is R% less than B, then B is [R / (100 − R)] × 100 % more than A.

Fraction Equivalents

25% increase is a multiplier of 5/4. To reverse it, we use a decrease of 1/5, which is 20%.

Shortcut Trick

A number is divisible by 9 if the sum of its digits is divisible by 9.

Option (1): 5+8+5+5+6 = 29 (No)

Option (2): 5+6+1+1+2 = 15 (No)

Option (3): 4+9+6+5+3 = 27 (Yes, 27 is divisible by 9)

Option (4): 8+9+4+4+5 = 30 (No)

∴ The correct answer is 49653.

Alternate Method

Given: Four numbers to check for divisibility by 9.

Rule Used: Divisibility rule of 9 → Sum of digits must be a multiple of 9.

⇒ For 58556: 5+8+5+5+6 = 29; 29 ÷ 9 leaves remainder 2.

⇒ For 56112: 5+6+1+1+2 = 15; 15 ÷ 9 leaves remainder 6.

⇒ For 49653: 4+9+6+5+3 = 27; 27 ÷ 9 = 3 (Remainder 0).

⇒ For 89445: 8+9+4+4+5 = 30; 30 ÷ 9 leaves remainder 3.

∴ The correct answer is 49653.

Additional Information

Divisibility Rule of 3

Similar to 9, a number is divisible by 3 if the sum of its digits is divisible by 3.

Divisibility Rule of 6

A number is divisible by 6 if it is divisible by both 2 (even number) and 3 (sum of digits rule).

Digit Sum Concept

The digit sum is also known as the digital root, which is the remainder when a number is divided by 9 (if the sum is 9, the remainder is 0).

According to the given information,

Argument 1: This is not strong, because it is not given in the statement that perfume is only used by rich people.

Argument 2: This is not strong, because it is not given in the statement that perfume is used by poor people also.

Hence, “neither argument 1 nor argument 2” is strong.

The pattern followed is,

The figures A, B and C are geometrical figures with different symbols placed inside them.

Whereas,

In figure D, one figure is placed on the outer layer of the other.

Hence, figure D is the odd one.

According to the given information,

Assumption 1: This is implicit, as when a children cry means they wanted to say something which they are unable to say.

Assumption 2: This is also implicit, because parents leave them to play by themselves and when they cry parent need to see them.

Hence, “both 1 and 2” are implicit.

Ammeter is a measuring instrument used to measure current in a circuit.

Similarly,

Ohmmeter is an electrical instrument that measures electrical resistance (the opposition offered by a substance to the flow of electric current).

‘Ohmmeter’ relates to the third term in the same way that the second term relates to the first term.

 

Hence, “ohmmeter” is the correct answer.

English, Chinese and French are different languages.

The correct Venn diagram is,

Hence, option 4 is the correct answer.

The pattern followed is,

Hence, “QH” is the correct answer.

The correct answer is option 3, i.e Budding.

• Budding is a type of asexual reproduction and related to both multicellular and unicellular organisms.
• Budding -  In this process, a new organism develops from bud due to cell division in one particular area.
• These buds develop into tiny individuals and, when fully mature, detach from the parent body and become new individuals.
• Budding is found in Bacteria, yeast, corals, flatworms, and jellyfish.
• Fission in bacteria is the process where a cell splits into two daughter cells.
• Regeneration is the natural process of replacing or restoring damaged or missing cells, tissues, organs, and even entire body parts to full function in plants and animals.
• Multiple fission is the process of asexual reproduction in which instead of 2 daughter cells, many daughter cells are produced from the parent cell. In this, the nucleus undergoes repeated division to produce a large number of nuclei.