AFCAT 01/2023 Memory Based Paper 24 Feb 2023 (Previous Year Paper)

Shortcut Trick

Ratio of Profit to Loss = 20 : 1.

Total difference in SP = 800 − 275 = Rs. 525.

Value of 21 parts (Total Gap) = 525 ⇒ 1 part (Loss) = 525 ÷ 21 = Rs. 25.

Cost Price = Lower SP + Loss = 275 + 25 = Rs. 300.

New Selling Price for 25% profit = 300 × (125 ÷ 100) = Rs. 375.

∴ The correct answer is Rs. 375.

Alternate Method

Given:

Selling Price 1 (SP₁) = Rs. 275 (sold at a loss)

Selling Price 2 (SP₂) = Rs. 800 (sold at a profit)

Profit obtained = 20 × Loss incurred

Formula Used:

Loss = Cost Price (CP) − Selling Price

Profit = Selling Price − Cost Price (CP)

Calculations:

⇒ Profit at SP₂ = 20 × Loss at SP₁

⇒ 800 − CP = 20 × (CP − 275)

⇒ 800 − CP = 20CP − 5500

⇒ 20CP + CP = 800 + 5500

⇒ 21CP = 6300

⇒ CP = 6300 ÷ 21 = Rs. 300

⇒ To make a 25% profit, the new selling price must be 125% of the Cost Price.

⇒ New Selling Price = CP × (100 + Profit%) ÷ 100

⇒ New Selling Price = 300 × (125 ÷ 100)

⇒ New Selling Price = 300 × 1.25 = Rs. 375

∴ The correct answer is Rs. 375.

Additional Information

Marked Price & Discount

Discount is always calculated on the Marked Price (MP) of an article. The fundamental formula is: Discount % = (Discount ÷ MP) × 100.

Successive Discounts

If two successive discounts of a% and b% are given, the equivalent single discount percentage is calculated as: a + b − (a × b ÷ 100).

Dishonest Dealer

When a dealer claims to sell goods at cost price but uses a false weight, the actual Profit % = [Error ÷ (True Weight − Error)] × 100.

Given:

When 10 girls leave, the ratio of boys to girls = 2:1

When 20 boys leave, the ratio of boys to girls = 4:3

Concept:

Use the concepts of ratio and proportion to solve the problem.

Calculation:

Let the number of boys and girls be x and y respectively.

According to the question,

⇒ x / (y - 10) = 2/1

⇒ x = 2y - 20                 (i)

Again,

⇒ (x - 20) / y = 4/3

⇒ 4y = 3x - 60               (ii)

By putting equation (i) in equation (ii),

⇒ 4y = 3(2y - 20) - 60

⇒ 4y = 6y - 60 - 60

⇒ 2y = 120

⇒ y = 120/2 = 60

Number of girls (y) = 60

By putting the "y" value in equation (i), we get

⇒ x = 2 × 60 - 20

⇒ x = 120 - 20 = 100 

Number of boys (x) = 100

So, the original ratio of boys and girls =  100 : 60 = 5 : 3

∴ The original ratio of boys to girls is 5 : 3

The average weight of A, B and C = 45 kg

The average weight of A and B = 40 kg

The average weight of B and C = 43 kg

Formula used:

Average = Sum of all observations/Number of observation

Calculation:

Sum of the weight A, B and C

⇒ A + B + C = 45 × 3 = 135 kg ----(1)

⇒ A + B = 40 × 2 = 80 kg    ----(2)

⇒ B + C = 43 × 2 = 86 kg     ----(3) 

Subtract equation 1 from addition of equation 2 and 3 

⇒ (A + 2B + C) - (A + B + C) = 80 + 86 - 135

⇒ B = 31 kg

∴ The weight of B is 31 kg.

Given:

Gain 20% on the selling price of 7.20/kg

Formula Used:

SP = {100/(100 + P%)} × CP,

Where,

SP is selling price,

CP is cost price,

P% is profit percent.

Calculation:

SP of a mixture = 7.20/kg

CP of a mixture = 100/120 × 7.20

⇒ CP of a mixture = Rs. 6/kg

Now by using allegation,

Now the ratio = 0.6 : 2

⇒ 8/kg : 5.40/kg = 3 : 10

According to the question,

⇒ 10 = 36kg

⇒ 1 = 3.6 kg

Now, 3 = 3 × 3.6 = 10.8 kg

∴ Total quantity of Rs. 8/kg is 10.8kg.

Given:

Average speed of A = 50 km/hr

Average speed of B = 48 km/hr

Average speed of C = 52 km/hr

Formula Used:

Distance = Speed × Time

Average speed = Total Distance / Total Time

Calculation:

Distance covered by A in 1 hour = 50 × 1

⇒ Distance covered by A = 50 km

Distance covered by B in 2 hours = 48 × 2

⇒ Distance covered by B = 96 km

Distance covered by C in 3 hours = 52 × 3

⇒ Distance covered by C = 156 km

Average speed = (50 + 96 + 156) / 6

⇒ Average speed = 302 / 6

⇒ Average speed = 50¹⁄₃ km/hr

The average speed of the car is 50¹⁄₃ km/hr.

Concept:

Speed = Distance / Time

Calculation:

According to the question,

Let the speeds of the train and the car be x km/h and y km/h respectively.

Since Manga travels 160 km by train.

Distance covered by car = 760 - 160 = 600 km

We know that,

Time = Distance/Speed

Time taken to cover 160 km by train = (160/x) hr

Time taken to cover 600 km by car = (600/y) hr

Total time taken to travel 760 km = (160/x) + (600/y) = 8 hrs         ….. (i)

Similarly,

(240/x) + (520/y) = 8 hrs 12 min = (41/5) hrs         ….. (ii)                 (∵ 1 hr = 60 min)

By solving (i) and (ii), We get

x = 80 km/h and y = 100 km/h

∴ Speeds of the train and the car = 80 km/h, 100 km/h

Given:

Mixture = 624 litres

Milk : Water = 19 : 20

Calculation:

Milk = (19/39) × 624 = 19 × 16 = 304 litres

Water = 624 - 304 = 320 litres

Let the added milk be "x"

⇒ $\frac {304 + x}{320} = \frac {3}{2}$

⇒ 608 + 2x = 960

⇒ 2x = 960 - 608 

⇒ 2x = 352

⇒ x = 176

∴ 176 litres of milk will be added.

Given:

A fraction becomes 2/3 if 1 is added to both its numerator and denominator. Same fraction becomes 1/2 if 1 subtracted both from numerator and denominator.

Calculation:

Let the numerator of fraction be N, and denominator of fraction be D.

The fraction = N/D

When 1 is added to its numerator and denominator both

⇒ (N + 1)/(D + 1) = 2/3

⇒ 3 × (N + 1) = 2 × (D + 1)

⇒ 3N + 3 = 2D + 2

⇒ 2D – 3N = 1      ---- (1)

When 1 is subtracted from its numerator and denominator both

⇒ (N – 1)/(D – 1) = 1/2

⇒ 2 × (N – 1) = D – 1

⇒ 2N – 2 = D – 1

⇒ D = 2N – 1      ---- (2)

Put the value of D in eq. (1)

⇒ 2 × (2N – 1) – 3N = 1

⇒ 4N – 2 – 3N = 1

⇒ N = 3

Put the value of N in eq. (2)

⇒ D = 2 × 3 – 1

⇒ D = 6 – 1

⇒ D = 5

∴ The fraction is 3/5.

The correct answer is option 2.

Given: The average of five consecutive odd numbers is 61.

Concept Used: $Average = \dfrac{Total ; sum; of ;numbers}{total ;numbers}$

Calculation:

Let's assume five consecutive odd numbers,

x, x + 2, x + 4, x + 6, x + 8

⇒ Total sum of numbers = x + x + 2 + x + 4 + x + 6 + x + 8 

= 5x + 20

Mean = 61 = $\dfrac{5x + 20}{5}$

⇒ 5x = 285

⇒ x = 57

So, the lowest odd number x = 57

And the highest odd number = x + 8 = 57 + 8 = 65

The difference between the highest and the lowest odd number = 65 - 57 = 8

Hence, the difference between the highest number and the lowest number is 8.

Given:

If the numerator of a fraction is increased by 400% and the denominator is increased by 500%. Then,

Calculation:

Let the fraction be = x/y

400% = 400/100 = 4

500% = 500/100 = 5

The numerator (x) increased by 400% and denominator (y) increased by 500%,

∴ After increment,   x → x + 4x = 5x   and

y → y + 5y =  6y

New fraction = 5x/6y = 20/27

⇒ x/y = 8/9

Hence, the correct answer is "8/9".

Alternate MethodGiven:

1. After the increase, the fraction becomes 20/27.
2. The numerator increased by 400%.
3. The denominator increased by 500%.

Concept used:

Let the original fraction be a/b

After the increase, the fraction becomes 5a/6b5�6�5�6�

(due to 400% increase in the numerator and 500% increase in the denominator).

Calculation:

According to the concept,

After the increase, the fraction becomes 5a/6b, which is equal to 20/27.

⇒ 5a/6b = 20/27

⇒ 5a × 27 = 6b × 20

⇒ 135a = 120b

⇒ a = 120/135b

⇒ a = 8/9b

∴ The original fraction is 8/9.

Given:

Distance between 2 stations A & B is 330 km

A train left station A at 8 am with a speed of 60 km/hr and another train left station B at 9 am with a speed of 75 km/hr. At what time both trains will meet each other

Concept used:

Relative speed

Calculations:

The relative speed of both train = 60 + 75 = 135 kmph

Train A travelled in 1 hour = 60 kmph

At 9 AM distance between two trains = 270 km

Time taken by them to meet = 270/135 = 2 hour

⇒ they meet at 11 pm

Distance covered by 1st train = 60 × 3 = 180 km

Calculation:

Let the length of the largest piece be 3x

Thus the length of a middle-sized part will be x.

According to the given condition, the length of the shortest part is 3x -23.

According to the question,

3x + x + (3x - 23) = 40

⇒ 7x = 63

⇒ x = 9

So, the shortest piece = 3x -23

⇒ 3 × 9 - 23 = 4

∴ The length of the shortest piece is 4 cm.

Shortcut Trick

Area of a path constructed inside a rectangle is given by: Area = 2w(L + B − 2w)

Where L = 20 m, B = 15 m, w = 1 m

⇒ Area = 2 × 1 × (20 + 15 − 2 × 1)

⇒ Area = 2 × (35 − 2)

⇒ Area = 2 × 33 = 66 m²

∴ The correct answer is 66 m².

Alternate Method

Given:

Length of the outer park (L) = 20 m

Breadth of the outer park (B) = 15 m

Width of the inner path (w) = 1 m

Formula Used:

Area of rectangle = Length × Breadth

Area of inner path = Area of outer rectangle − Area of inner rectangle

Calculations:

⇒ Area of outer rectangular park = 20 × 15 = 300 m²

Since the path of 1 m width is made inside, the dimensions of the inner rectangle will decrease by 2 m (1 m from each side).

⇒ Inner length (l) = 20 − (2 × 1) = 18 m

⇒ Inner breadth (b) = 15 − (2 × 1) = 13 m

⇒ Area of inner rectangle = 18 × 13 = 234 m²

⇒ Area of path = 300 − 234 = 66 m²

∴ The correct answer is 66 m².

Additional Information

Path Inside a Rectangle

When a path of width w is constructed inside a rectangular park of length L and breadth B, Area of path = 2w(L + B − 2w).

Path Outside a Rectangle

When a path of width w is constructed outside a rectangular park of length L and breadth B, Area of path = 2w(L + B + 2w).

Cross Path Inside a Rectangle

When two mutually perpendicular paths of width w cross each other centrally inside a rectangle, Area of path = w(L + B − w).

Given:

Principal is 2000

The rate is 10%

Time is half-yearly

Formula used:

S.I. = (P × r × t)/100

C.I. = P{1 + (r/100)}t - P

Here P = Principle, r = Rate% and t = Time

Calculation:

SI = (2000 × 10 × 1) / 100 

⇒ SI = 200

For, C.I. half-yearly, P = 2000, r = 5% per half-year, n = 2 half-year.

CI = 2000{1 + (5/100)}²- 2000

⇒ CI = (2000 × 21/20 × 21/20) - 2000

⇒ CI = 2205 - 2000

⇒ CI = 205

Now, the difference between C.I. and S.I. = 205 - 200 = 5

∴ The difference between C.I. and S.I. is 5 

 Alternate Method

Difference between C.I. and S.I. for 2 half-years = (P × r²) / 100²

⇒ Difference between C.I. and S.I. = (2000 × 5 × 5) / 100 × 100 

⇒ Difference between C.I. and S.I. = 5

∴ The difference between C.I. and S.I. is 5.

Given:

Metal 1: Zinc = 3/7, Copper = 4/7

Metal 2: Zinc = 4/7, Copper = 3/7

Calculation:

According to the question,

Metal 1: Ratio of zinc and copper = (3 : 4) = ×  7

Metal 2: Ratio of zinc and copper = (4 : 3) = × 7

Metal 1 mixed with metal 2 and Balanced both ratios,

Metal 1: Zinc & copper = 21 : 28

Metal 2: Zinc & copper = 28 : 21

                                       49  :  49

Ratio of zinc & copper in final mixture = 49 : 49 = 1 : 1

∴ The ratio of zinc to copper in the new mixture is 1 : 1

Given:

In a carton, there are total of 45 oranges.

One-fifth of the total oranges are rotten.

Concepts used:

Number of non-rotten oranges = Total number of oranges – number of rotten oranges

Calculation:

One-fifth of the total oranges are rotten. Total oranges are equal to 45.

⇒ Number of rotten oranges = (1/5) × 45 = 9

⇒ Number of non-rotten oranges = 45 – 9 = 36

⇒ Probability that an orange drawn randomly is non-rotten = 36/45 = 4/5

∴ Probability that an orange drawn randomly is not defective is 4/5.

Alternative solution:

One-fifth of total oranges are rotten.

⇒ Fraction of non-rotten oranges = (1 - 1/5) = 4/5

∴ Probability that an orange drawn randomly is not defective is 4/5.

Given: 

The ratio of salary of A, B, C is 5 : 3 : 2.

Concept used:

The increased value = (100 + percentage)/100 × initial value

Calculation:

Let the salary of A be 5x.

Then, the salary of B be 3x.

Similarly, the salary of C be 2x.

The increased salary of A = (100 + 20)/100 × 5x = 6x

The increased salary of B = (100 + 25)/100 × 3x = 125/100 × 3x = 15x/4

The increased salary of C = (100 + 30)/100 × 2x = 130/100 × 2x = 13x/5

The ratio of the increased salary of A, B, C = 6x : 15x/4: 13x/5

⇒ Ratio = 120 : 75 : 52

∴ The ratio of the increased salary of A, B, C is 120 : 75 : 52.

The ratio = 5 × (100 + 20)/100 : 3 × (100 + 25)/100 : 2 × (100 + 30)/100

⇒ 6 : 15/4: 13/5

⇒ 120 : 75 : 52

∴ The ratio of the increased salary of A, B, C is 120 : 75 : 52.

Shortcut Trick

Circle Area 154 → Radius (r) = 7 cm (Standard value).

Wire Length = Circumference = 2 × (22/7) × 7 = 44 cm.

Side of Triangle (a) = 44 ÷ 3 = 14.66 cm.

Area = (√3/4) × a² = (1.732/4) × (44/3)² ≈ 93.1 cm².

∴ The correct answer is 93.1 cm².

Alternate Method

Given: Area of Circle = 154 cm², Shape changed from Circle to Equilateral Triangle.

Formula Used: Area of Circle = πr²; Circumference = 2πr; Area of Equilateral Triangle = (√3/4)a².

 

 

⇒ πr² = 154

⇒ (22/7) × r² = 154

⇒ r² = (154 × 7) ÷ 22 = 49

⇒ Radius (r) = √49 = 7 cm

⇒ Length of wire = 2 × (22/7) × 7 = 44 cm

⇒ Perimeter of Triangle = 3 × Side (a) = 44 cm

⇒ a = 44/3 cm

⇒ Area of Triangle = (√3/4) × (44/3)²

⇒ Area = (√3/4) × (1936/9) = 484√3/9

⇒ Area ≈ (484 × 1.732) ÷ 9 ≈ 93.14 cm²

∴ The correct answer is 93.1 cm².

Additional Information

Perimeter vs Area Consistency

When a wire of fixed length L is bent into different shapes, the Circle always encloses the maximum area, followed by a square and then an equilateral triangle.

Equilateral Triangle Properties

Height (h) of an equilateral triangle is given by h = (√3/2) × a, where a is the side. Area can also be written as h²/√3.

Circle Constants

For a circle with radius 7, the circumference is 44 and the area is 154. These are standard ratios used frequently in competitive exams.

Let, total work = LCM of (30, 24 and 20) = 120

Hence, efficiency of (P + Q) = 4

Efficiency of (Q + R) = 5

Efficiency of (R + P) = 6

Now, (P + Q) + (Q + R) + (R + P) = 4 + 5 + 6

⇒ 2 (P + Q + R) = 15

⇒ (P + Q + R) = 15/2

∴ P, Q and R together can complete the whole work in = 120/ (15/2) = 16 days.

Given:

Speed of train from A (S1) = 75 km/h

Speed of train from B (S2) = 60 km/h

Time (t) = 12 minutes = (12/60) hours = 1/5 hours

Concept used:

Relative speed (S) = S1 + S2

Distance (D) = S × t

Calculation:

Relative speed (S) = S1 + S2

⇒ S = 75 + 60

⇒ S = 135 km/h

Distance (D) = S × t

⇒ D = 135 × 1/5

⇒ D = 27 km

∴ The distance between A and B is 27 kilometers.

The correct answer is 1919

Key Points

1. Rowlatt act was passed by the Imperial Legislative Council in Delhi on March 18, 1919
2. It is also known as the Anarchical and Revolutionary Crimes Act of 1919 or the Black Act.
3. By this act indefinitely extended the emergency measures of preventive indefinite detention, incarceration without trial, and judicial review enacted in the Defence of India Act 1915 during the First World War.

• Provision of Rowlatt Act
• In the interest of public safety, suspected persons could be arrested and confined.
• The Act engages for the speedy trial of offenses.
• The Governor-General had the power to implement the Act in any area.

Important Points

1. Gandhi organized a mass protest in every part of India at all levels.
2. The volunteers started courting arrests by March 23, 1919.
3. The organizations like the Home Rule League, the Muslim League, and the Satyagraha Sabha along with some other small organizations coordinated and organized the biggest Satyagraha ever.
4. Satyagraha lost momentum with the Jallianwala Bagh tragedy on April 13, 1919.
5. The Jallianwala Bagh massacre, also known as the Amritsar massacre, took place on 13 April 1919.
6. A large peaceful crowd had gathered at the Jallianwala Bagh in Amritsar, Punjab to protest against the arrest of pro-Indian independence leaders Dr. Saifuddin Kitchlew and Dr. Satya Pal.

The correct answer is Tanzania.

Key Points

Mt. Kilimanjaro:

• ​Mount Kilimanjaro is a dormant volcano in Tanzania.
• It has three volcanic cones: Kibo, Mawenzi and Shira.
• It is the highest mountain in Africa and the highest single free-standing mountain in the world with a height of 5,895 metres above sea level.

Additional Information 

The correct answer is Teesta.

Key Points

• The Rangeet (Rangit) is a tributary of the river Teesta.
• The Rangeet river also known as the Rangit river mainly flows in Sikkim and some parts of West Bengal.
• It originates from a glacier of Mount Kabru in the lower Kanchenjunga region, in Sikkim.
• It forms the boundary between the Sikkim and Darjeeling districts of West Bengal.

Additional Information

• The river covers the Pelling, Jorethang, and Legship towns of Sikkim.
• The Rangeet Dam is built on this river in the South Sikkim district of Sikkim.
• Teesta is a tributary of the Brahmaputra river and it is the largest river in Sikkim state.
• Teesta river is a trans-Himalayan river flowing through the Indian states of Sikkim and West Bengal and Rangpur in Bangladesh.
• Teesta river originates from the Pahunri glacier and reaches the Rangpur district of Bangladesh before merging into the Brahmaputra River at Fulcherry.

The correct answer is Rafael Nadal.

Key Points

• Spain's Rafael Nadal defeated Russia's Daniil Medvedev 2-6, 6-7 (5), 6-4, 6-4, 7-5 in the Australian Open Men's Singles final and clinched a record 21st Grand Slam title, on 30 Jan 2022.
• The match was held at Rod Laver Arena in Melbourne.
• With this victory, Rafael has become the first man to win 21 Grand Slam titles.
• He overtook Roger Federer and Novak Djokovic by winning this title.

Additional Information

• In tennis, Aslan Karatsev won the men’s singles title at the Sydney Tennis Classic final, to claim his third ATP Tour title.
• World number six Rafael Nadal won the men’s singles tennis title at 2022 Melbourne Summer Set 1.
• French tennis player Gael Monfils has won the men’s singles event of the 2022 Adelaide International 1 to claim the 11th ATP title of his career.
• The Davis Cup 2021 was won by the Russian Tennis Federation by a 2-0 lead over Croatia in the Davis Cup final in Madrid.
• Alexander “Sascha” Zverev has won the fifth ATP title of the season (2021) and 18th overall at the Vienna Open 2021.

The correct answer is Lionel Messi.

Key Points

• Lionel Messi was awarded the ​Golden Ball Award.
• At the end of the world cup 2022 he had 7 goals and 3 assists.
• Lionel Messi also became the first man to win two Golden Ball Awards as he had bagged the honour in 2014 when Argentina lost the final to Germany.

Additional Information 

• Enzo Fernandez was awarded the Young Player Award.
• Emi Martinez was awarded the Golden Glove Award.
• Kylian Mbappe was awarded the Golden Boot award at the FIFA World Cup 2022.
• The 2022 FIFA World Cup: 
• It took place in Qatar.
• It was the first World Cup ever to be held in the Arab world.
• It was the second World Cup held entirely in Asia after the 2002 tournament in South Korea and Japan.
• The tournament was won by Argentina.
• ​Argentina defeated France by 4-2.

The correct answer is Kenya.

• Kenya is NOT a member of OPEC.

Key Points

• Organization of Petroleum Exporting Countries (OPEC) is an intergovernmental organization(national sovereignty over natural resources).
• It was founded on 14th September 1960 in Bagdad.
• It is headquartered in Vienna, Austria( Austria not a member of OPEC state).
• Mission: Coordinate and unify the petroleum policies of its member countries and ensure the stabilization of oil markets.
• To secure an efficient, economic, and regular supply of petroleum to consumers, a steady income to producers, and a fair return on capital for those investing in the petroleum industry.
• Current OPEC members: Algeria, Angola, Congo, Equatorial Guinea, Gabon, Iran, Iraq, Kuwait, Libya, Nigeria, Saudi Arabia, the United Arab Emirates, and Venezuela.

The correct answer is 10.

Key Points

Hornbill Festival:

• The Hornbill Festival is a celebration held every year from 1 to 10 December, in Nagaland.
• It is also called the 'Festival of Festivals'.
• It showcases the rich and diverse Naga ethnicity through folk dances, traditional music, local cuisine, handicraft, art workshops, etc.

Additional Information

• Nagaland is a mountainous state in northeast India, bordering Myanmar.
• It's home to diverse indigenous tribes, with festivals and markets celebrating the different tribes' cultures.
• It is also popularly known as the 'land of festivals and every tribal festival is celebrated with pomp and gaiety, adorned with rich and colourful traditional attires.

The correct answer is option 4 i.e. Neither 1 nor 2.

India has first past the post system of election for Lok Sabha or State Assembly, wherein a candidate who wins the election may not (need to) get majority (50%+1) votes.

• Also, the constitution of India has adopted the system of territorial representation for the election of members to the Lok Sabha or State Assembly.
• Under this system, MP or MLA represents a geographical area known as a constituency.
• From each constituency, only one representative is elected.
• Hence such a constituency is known as a single-member constituency.
• In this system, a candidate who secures the majority of votes is declared elected. Hence, statement 1 is not correct.

Till 10th Lok Sabha, both the Deputy Speaker and the Speaker were usually from the ruling party.

• From the 11th Lok Sabha, there has been a consensus that the post of Deputy Speaker goes to the main opposition party and the Speaker comes from the ruling party (or ruling alliance).
• Meaning it's an 'informal consensus' among political parties and not Constitutional provision. Hence, statement 2 is not correct.

The correct answer is Supreme Court.

Key Points

• The body which acts as the guardian of Fundamental Rights is the Supreme Court. The court protects the Fundamental Rights of the citizens from being exploited.
• The Supreme Court, as the Guardian of Fundamental Rights, can declare any law null and void if it violates fundamental rights.

Important Points

• Article 32 of the Constitution (Right to Constitutional Remedies): It is a  fundamental right, which states that individuals have the right to approach the Supreme Court (SC) seeking enforcement of other fundamental rights recognized by the Constitution.
• Article 226 of the Constitution empowers a high court to issue writs including habeas corpus, mandamus, certiorari, prohibition, and quo warranto for the enforcement of the fundamental rights of the citizens and for any other purpose.
• The Supreme Court stands at the apex of the judicial system of the country.
• Article 124 provides for the establishment and constitution of the Supreme court.
• Established as the Supreme court of India on 28th January 1950.
• Also known as the 'guardian of our Constitution.
• Also known as 'court of record'.
• The Chief Justice and other Judges of the Indian Supreme Court are appointed by the President
• The power to increase or decrease the number of judges of the supreme court rests with the Parliament.
• After the appointment of the new four justices on 18 September 2019, the strength of the Supreme court increases from 30 to 34.
• The chief justice of India is the head of the Supreme Court of India.
• The appointment of judges other than the chief justice, the chief justice of India shall always be consulted.

Additional Information ​ 

• The Judges of the Supreme Court can be removed only by the Parliament by the procedure established by Law.
• A judge of the Supreme Court or High Court can be removed only on the ground of proven misbehavior or incapacity.
• A motion containing the charges against the judge must be approved by a special majority in both Houses of Parliament.
• After the motion passed by both the houses by a special majority, it will be sent to the President.
• Finally, the President gives his order of removal o the judge concerned.

The correct answer is the Attorney General of India.

Key Points

• The Attorney General of India is appointed as the principal legal advisor to the Government of India.
• As per Article 76 of the Constitution of India, the Attorney General (AG) is appointed by the President of India.
• To be appointed as Attorney General it is necessary that:
• He must be a citizen of India;
• He should have five years experience of working as a Judge of the High Court;
• He should have 10 years of experience of advocacy in a High Court; or
• According to the opinion of the President, he should be a qualified person for judicial matters.
• Significantly, no definite interpretation has been given in the constitution regarding the tenure of the Attorney General, although he can be removed from the post at any time by the President.
• In addition, the Attorney General can be relieved at any time by submitting his resignation to the President.
• The Attorney General's remuneration is not prescribed in the Constitution, as per Article 76 of the Constitution, the Attorney General's remuneration is determined by the President.
• Therefore, he holds his office during the pleasure of the President.

Important Points

• Functions of AG:
• To advise the Government of India on such law-related subjects as may be assigned by the President.
• To perform such other duties of legal nature as are assigned by the President.
• To represent the Government in matters relating to the Government of India in the Supreme Court.
• Right to be heard in the High Court in any matter related to the Government of India.
• To discharge the functions provided by the Constitution or any other law.

The correct answer is (a), (b) and (c).

Key Points

• Vote on account-  Vote on Account deals only with the expenditure side of the government budget.
• So voting on the account is just interim permission to spend money as against a full Budget which is an elaborate financial statement of expenditure and receipts including changes in taxes and government policies.
• According to Article 266 of the Constitution**,** drawing money from the Consolidated Fund of India requires Parliamentary permission.
• Furthermore, Article 114 (3) of the Constitution states that no money can be taken from the Consolidated Fund until a law is passed (i.e. Appropriation bill).
• The passage of an appropriation bill is a lengthy process that normally lasts until the end of April.
• However, the government would require funds to continue its routine operations after March 31st (the end of the financial year).
• To address this practical issue, Article 116 of the Constitution allows the Lok Sabha to make any grant in advance for expected spending for a portion of the fiscal year, awaiting the conclusion of the vote on grant demands and the adoption of the appropriation bill.
• This is known as the 'vote on account' clause.
• A 'Vote on Account' is not the same as an interim budget**.**
• An Interim Budget is a comprehensive set of accounts, covering both expenditure and receipts, as opposed to a 'Vote on Account,' which solely deals with the expenditure side of the government's budget.
• An Interim Budget gives a complete financial statement, similar to a full budget**.**

The correct answer is Blue and Red.

Key Points

• Blue and Red light is strongly absorbed by plants.
• Green plants are green in that they contain a chlorophyll pigment.
• Chlorophyll absorbs all wavelengths of light from within the spectrum of visible light.
• Chlorophyll absorbs light in the red (long wavelength) and blue (short wavelength) regions of the visible light spectrum, as seen in detail in the absorption spectra.
• Green light isn't absorbed but reflected, which makes the plant look green.

The correct answer is 7.4

Key Points

• The pH values range from 0 to 14.
• A pH less than 7 is acidic and greater than 7 is basic.
• The pH value of human blood is 7.4.
• pH value of human blood is 7.4
• It is basic in nature.

Important Points

• pH value is used to indicate the acidity or basicity of an aqueous solution.
• A pH of 7 is considered neutral.
• The pH of acids is lower than 7.
• The pH of bases is more than 7.
• So, human blood can be said to be slightly basic in nature.
• the pH scale is from 0 to 14 where 0 means most acidic and 14 means most basic.
• It is a logarithmic scale and not a linear scale.

The correct answer is Blood Pressure.

Key Points

• A Sphygmomanometer is a device used to measure Blood Pressure.
• It consists of an inflatable cuff, a measuring unit, the mercury manometer, and a mechanism for inflation which may be manually operated bulb and valve or a pump electrically operated.
• It was invented in 1881 by Samuel Siegfried Karl Ritter Von Basch.

Additional Information

• Electric Current is measured by Ammeter.
• Wind speed is measured by Anemometer.
• Humidity is measured by Hygrometers.

The correct answer is D Y Chandrachud​.

Key Points

• President Droupadi Murmu on 17th Oct 2022 appointed Justice D Y Chandrachud as the new Chief Justice of India (CJI).
• Justice Chandrachud will assume charge as the 50th CJI on 9th Nov 2022.
• He will succeed present CJI Justice U U Lalit.
• Justice Chandrachud was appointed as a Judge of the Supreme Court in 2016.
• His father, Justice Y.V. Chandrachud, was the 16th Chief Justice of India.
• Justice YV Chandrachud (16th CJI) had the longest tenure (7 Years, 4 Months & 20 days) as CJI till today.

Additional Information

• About the Supreme Court of India:
• The Supreme Court of India is the supreme judicial authority of India and is the highest court of the Republic of India under the constitution.
• It is the last arbiter in any disagreement between the centre and the states or the states themselves.
• As an advisory court, it hears matters which may specifically be referred to it under the Constitution by the President of India.
• It is also the highest and ultimate interpreter of the country's general law. It is the highest court of appeals in both civil and criminal cases.​
• Articles 124 to 147 in Part V of the Constitution deal with the organisation, independence, jurisdiction, powers, procedures and so on of the Supreme Court.
• The Chief Justice of India and the Judges of the Supreme Court are appointed by the President under clause (2) of Article 124 of the Constitution.

The correct answer is Saina Nehwal.

Key Points

• Saina Nehwal—India’s star badminton player and World Number 4, Padma Shri and Khel Ratna awardee, the girl who brought laurels to India by winning an Olympic medal at the age of twenty-two.
• In "Playing to Win", she talks about her childhood and growing–up years; her relationship with the most important people in her life; the ups and downs of her celebrated career, from district level wins to the Olympics; and the sacrifices needed to succeed in any sport.
• She also reveals little-known facts and offers a peek into her many avatars—daughter, sister, student, and the regular girl behind the badminton prodigy.
• This book reveals what a typical day in Saina’s life is like—rigorous training, a strict diet, and no parties or sleepovers.
• It's not all work and no play; Saina loves to shop, eat ice cream (post wins only), and play games on her iPad.
• With candid photographs and badminton tips from the pro herself, this book showcases the making of a badminton champ—in her own words.

Additional Information

• Ace Against Odds is the 2016 biography of the Indian professional tennis player Sania Mirza.
• The book is her official biography chronicling her journey to becoming one of India and the world's top female tennis players.
• In 2010 Spin legend Shane Warne released Anil Kumble’s book ‘Wide Angle’ — a collection of off-field pictures shot by the former India skipper.
• The coffee table book, a pictorial tale of Kumble’s memoir of ‘Off-the-field’ cricket photography, has rare moments of Indian cricketers, including Sachin Tendulkar's celebration after reaching his 35th Test century in Delhi.
• There is a section dedicated to wildlife as well.
• Sachin Tendulkar has written the foreword to the book that brings together Kumble’s passion for cricket, photography, and wildlife.
• It gives a glimpse into the lives of his contemporaries beyond the boundary.
• The book, produced and marketed by TENVIC, a division of Anil Kumble Sports Pvt. Ltd.
• In 2011, Novak Djokovic had what sportswriters called the greatest single-season ever by a professional tennis player:
• He won ten titles, three Grand Slams, and forty-three consecutive matches.
• How did a player once plagued by aches, breathing difficulties, and injuries on the court suddenly become the #1 ranked tennis player in the world? The answer is astonishing: He changed what he ate.
• In his book "Serve to Win", Djokovic recounts how he survived the bombing of Belgrade, Serbia, rising from a war-torn childhood to the top tier of his sport.

The correct answer is Jammu and Kashmir.

Key Points

• Union Minister Dr. Jitendra Singh inaugurated India’s ‘First Lavender Festival' in Bhaderwah, J&K, on 26 May 2022.
• The 2 days Lavender Festival 2022 is being conducted under Union Government's Aroma Mission 2.
• The country’s first National Institute of High Altitude Medicine is also being built in Bhaderwah.

Additional Information

• ​Important current affairs related to Jammu and Kashmir:
• The Cabinet Committee on Economic Affairs has approved the  540 Megawatt (MW) Kwar Hydro Electric Project located on river Chenab, in the Kishtwar district of Jammu and Kashmir.
• PM Narendra Modi on 24 April 2022 inaugurated and laid the foundation stone of multiple development projects worth over ₹20,000 crores in Jammu and Kashmir.
• This also included the opening of the Banihal-Qazigund road tunnel to establish all-weather connectivity between the two regions of the union territory.
• Jammu and Kashmir Chief Secretary Arun Kumar Mehta on 19 April 2022 launched e-Kitab Kosh.
• J&K Lieutenant Governor Manoj Sinha launched a portal AVSAR on 11 Apr'22.
• The portal has been launched under the 'Connect to Opportunities Initiative' by Mission Youth.
• As part of the initiative, Mission Youth has signed an agreement with Vision India for providing jobs to the youth of J&K.
• Lieutenant Governor Manoj Sinha launched MyGov- the robust citizen engagement platform for Jammu & Kashmir on 30 Mar'22.
• MyGov Jammu and Kashmir is the 16th MyGov Instance and 1st ever MyGov for any Union Territory.

The correct answer is ‘Yoga for Humanity’.

Key Points

• The 8th edition of International Day of Yoga will be celebrated with the theme “Yoga for Humanity”.
• Ministry of Ayush has chosen this theme for the 8th International Day of Yoga 2022.
• It will be organised in India and across the globe on 21st June 2022.
• The theme of last year’s International Day of Yoga organised during the COVID-19 pandemic was “Yoga for wellness".

Additional Information

• ​The International Day of Yoga has been celebrated annually on 21 June since 2015, following its inception in the United Nations General Assembly in 2014.
• In 2015 Reserve Bank of India issued a 10 rupees commemorative coin to mark the International Day of Yoga.
• Minister of Ayush- Sarbananda Sonowal

The correct answer is East Timor.

Key Points

• East Timorese independence fighter and Nobel Peace Prize laureate Jose Ramos-Horta was sworn in as the country's fifth president on May 20.
• He has previously served as president from 2007 to 2012 and prime minister and foreign minister before that.
• East Timor is an island country in Southeast Asia.
• East Timor capital - Dili
• East Timor's Prime Minister - Taur Matan Ruak

Additional Information

The correct answer is BrahMos.

Key Points

• The Indian Air Force (IAF) on 12 May 2022 successfully test-fired an extended-range version of the BrahMos supersonic cruise missile from a Sukhoi fighter jet in the Bay of Bengal.
• The range of the advanced version of this BrahMos missile is extended to around 350 km from the original 290 km.
• BrahMos missile flies at a speed of 2.8 Mach or almost three times the speed of sound.

Additional Information 

• BrahMos is a nuclear-capable missile that can be fired from land, surface and air.
• BrahMos Aerospace, an India-Russian joint venture, produces supersonic cruise missiles that can be launched from submarines, ships, aircraft, or land platforms.

The correct answer is Option 4​.

Key Points

• Barak is an Israeli surface-to-air missile designed to be used as a ship-borne point-defense missile system against aircraft, anti-ship missiles, and UAVs.
• Nag m issile is the land to land version missile.
• It is a 3rd generation anti-tank missile.
• Nirbhay is a subsonic cruise missile, flying at a speed of 0.7 to 0.9 Mach. 
• It has sea skimming and terrain hugging capability.
• It helps the missile to stay under enemy radar to avoid detection.
• Agni V is the longest of the Agni series, an Inter-Continental Ballistic Missile (ICBM) with a range of over 5,000 km.

Additional Information

The correct answer is Israel.

Key Points

• Israel successfully tested a new naval air defense system on 21 February 2022.
• The "C-Dome" system is a naval version of the Iron Dome, which has been used to shoot down rockets fired from the Gaza Strip for the past decade.
• The C-Dome is being installed on Israel's latest-generation corvette warships, which protect Israel's coastline and offshore natural gas assets in the Mediterranean.

Additional Information​ 

• The Centre has decided to convert as many as 150 villages into 'Villages of Excellence' in 12 states with technical assistance from the Israeli govt.
• Already, the Israeli government has established 29 Centers of Excellence (CoEs) in 12 states.
• Israel and the US conducted a successful flight test of the Arrow Weapon System (AWS) and the Arrow 3 interceptor on 18 January 2022.
• It is designed to intercept ballistic missiles outside of the earth’s atmosphere.
• Israel and Morocco signed a landmark agreement on 24 Nov 2021 that lays the foundation for security cooperation, intelligence sharing, and future arms sales.
• ISRAEL:
• Capital: Jerusalem
• Currency: Israeli New Shekel
• Prime Minister: Benjamin Netanyahu
• President: Isaac Herzog (As of feb 2022).
• Egypt was the first Arab nation to sign a peace deal with Israel in 1979.
• Morocco is situated in the Northern African region its capital is Rabat and its currency is Moroccan Dirham.

The correct answer is ​None of the above.

Key Points

• Para SF - Indian Army
• They are a group of special forces battalions of the Parachute Regiment in the Indian Army.
• Their function includes hostage rescue, counter-terrorism, unconventional warfare, counter-proliferation, counter-insurgency, seek and destroy and personnel recovery.
• Their various operations are Operation Bluestar, Operation Pawan, Operation Cactus, Kargil War etc.
• MARCOS - Indian Navy
• They are Marine Commando Forces
• They undertake the Special Operations Forces unit of the Indian Navy and are responsible for conducting special marine operations.
• Their various operation include Operation Pawan, operation Cactus etc.
• Garuda Commando Force
• Special forces of Indian Air force formed in 2004.
• They undertake the protection of critical Air Force bases and installations; search and rescue during peace time and hostilities and disaster relief during calamities.

Additional Information

• The Special Forces of forces of
• Indian Army is Parachute Regiment;
• Indian Navy is MARCOS
• Indian Air Force is Garuda Commando Force.
• NSG, Special Frontier Force, Special Protection Group etc. are also special forces of India.
• Force one - Mumbai Police
• It is a specialised counter terrorism unit of the Mumbai Police to guard the Mumbai metropolitan area.
• It was formed by  formed by the Government of Maharashtra on the lines of National Security Guards.
• NSG National Security Guards
• Known as Black cats.
• It is a counter-terrorism unit of India for combating terrorist activities and protect states against internal disturbances.

The correct answer is Nirmal Jit Singh Sekhon.

Key Points:

• Nirmal Jit Singh Sekhon is the only Indian Air Force officer to be awarded Param Vir Chakra.
• He held the rank 'Flying Officer' and was awarded in the year 1971.
• Captain Karam Singh was the first living recipient of Param Vir Chakra.
• Major Somnath Sharma was the first to be awarded Param Vir Chakra in the year 1950.
• Yogendra Singh Yadav was the youngest recipient of Param Vir Chakra.

The pattern follows here is;

Hence, the correct answer is "95".

By using the symbols in the table given below, we can draw the following family tree:

Clearly, N is the nephew of P.

Hence, ‘Nephew’ is the correct answer.

As per the given information,

The venn diagram that best represent the relationship among : carrot, food, vegetable is:

Here, all carrots are vegetables. All vegetables are food.

Hence, the correct answer is "option (1)".

Preparing the family tree by using the following symbol:

The family tree as per the given information:

1. Mahathir is Najma’s husband.

2. Najma’s son, Kamran’s wife Reshma has a son named Ashraf.

3. Ashraf’s only sister is Urja.

 

Here, Mahathir is the Grandfather of Urja.

Hence, the correct answer is "Option (2)".

Given : 

W # 2 ∞ D @ 4 Y 3 D Ω R 7 & S F @ 6 ^ < X 2 2

The logic follows here is as,

• Letter $\Large \rightarrow$ Symbol $\large\rightarrow$ Number

here, there are 3 symbols each of which is immediately preceded by a letter and immediately followed by a number.

Hence, 'option 3' is the correct answer.

Checking all the options one by one:

(1) 4, 1, 2, 6, 3, 5

Idea → Writing → Book → Reader → Seller → Feedback

(2) 4, 1, 2, 6, 5, 3

Idea → Writing → Book → Reader → Feedback → Seller

(3) 4, 1, 3, 6, 5, 2

Idea → Writing → Seller → Reader → Feedback → Book

(4) 4, 1, 2, 3, 6, 5

Idea → Writing → Book → Seller → Reader → Feedback

Here, In option (4) meaningful order is followed.

Hence, the correct answer is "Option (4)".

In first and Second dice 5 and 1 is common.

In second and Third dice 6 and 1 are common.

• First dice is rotated horizontally 90 degrees in anti-clockwise direction
• Second dice is rotated vertically 90 degrees in anti-clockwise direction.

∴ Here, the opposite face of '3' is '1'.

Hence, the correct answer is "1".

Given :

Time shown in clock = 4 p.m.

Solution :

Angle between minute hand and hour hand in 4 p.m. = $\dfrac{total hours from 12.pm.}{12}\times 360$ = $\dfrac{4}{12}\times 360 = 120$°

∴ The answer is 120° .

1) 3, 1, 8, 4, 7, 2, 6, 5

 

 

 

2) 5, 1, 8, 4, 2, 7, 6, 3

 

 

 

3) 8, 7, 3, 1, 6, 2, 4, 5

 

 

 

4) 6, 2, 8, 1, 3, 7, 5, 4

 

 

 

'MAGAZINE' is a meaningful English word.

Hence, '8, 7, 3, 1, 6, 2, 4, 5' is the correct answer.

The logic followed here is:

Sanjeev ranks seventh from the top and twenty-eighth from the bottom in the class.

Number of students in the class = 7 + 28 - 1

= 35 - 1

= 34.

Hence, '34' is the correct answer.

The logic followed here is:

Logic: 3 and 4 has been added on alternate basis to get the next term of the series.

Hence, the correct answer is "53".

The logic followed here is:

Draw the direction diagram according to the question.

In order to calculate the shortest distance.

Apply the Pythagoras theorem on triangle ABC.

Mathematically, it can be represented as:

c² = a² + b²

Where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

AC² = AB² + BC²

AC2 = 32 + 42

AC2 = 9 + 16 = 25

AC =$\sqrt{25}=5$

Therefore, the shortest distance to the office from this point is 5 km.

Hence, "Option (1)" is the correct answer.

Given: Five people A, B, C, D, and E are sitting in a straight row facing the North.

1. A is sitting to the immediate left of C.

2. Only C is sitting between A and E.

3. B is sitting to the right of E.

4. D is sitting to the right of B.

Here, 'A' is sitting at the extreme left of the row.

Hence, the correct answer is "Option 3".

The pattern followed here is:

Hence, the correct answer is “846298”.

Given equation: 96 ÷ 6 - 16 + 12 × 8 = 40.

BODMAS Table: 

Let's check each option one by one.

Option 1) 6 and 16

Given: 96 ÷ 6 - 16 + 12 × 8 = 40

After interchanging the numbers we get;

⇒ 96 ÷ 16 - 6 + 12 × 8 = 40

⇒ 6 - 6 + 12 × 8 = 40

⇒ 6 - 6 + 96 = 40

⇒ 102 - 6 = 40

⇒ 96 ≠ 40

⇒ LHS ≠ RHS

Option 2) 96 and 16

Given: 96 ÷ 6 - 16 + 12 × 8 = 40

After interchanging the numbers we get;

⇒ 16 ÷ 6 - 96 + 12 × 8 = 40

⇒ 2.66 - 96 + 12 × 8 = 40

⇒ 2.66 - 96 + 96 = 40

⇒ 2.66 ≠ 40

⇒ LHS ≠ RHS

Option 3) 6 and 8

Given: 96 ÷ 6 - 16 + 12 × 8 = 40

After interchanging the numbers we get;

⇒ 96 ÷ 8 - 16 + 12 × 6 = 40

⇒ 12 - 16 + 12 × 6 = 40

⇒ 12 - 16 + 72 = 40

⇒ 84 - 16 = 40

⇒ 68 ≠ 40

⇒ LHS ≠ RHS

Option 4) 6 and 12

Given: 96 ÷ 6 - 16 + 12 × 8 = 40

After interchanging the numbers we get;

⇒ 96 ÷ 12 - 16 + 6 × 8 = 40

⇒ 8 - 16 + 6 × 8 = 40

⇒ 8 - 16 + 48 = 40

⇒ 56 - 16 = 40

⇒ 40 = 40

⇒ LHS = RHS

Hence, the correct answer is "Option 4".

Concept:

1. We have to check the conclusions are 100% match with the statement. If the conclusion is 100% match with the given statement then the conclusion is true. If there is a 1% chance of not following the statement then the conclusion is considered to be false.

2. The possibility case can be considered to be "false" in "definite case".

3. In Possibility case, either "can" or "possible" word must be present.

The least possible Venn diagram for the given statements is as follow

Conclusions:

I. No chairs are mobiles → False (It is possible but not definite)

II. Some mobiles are chairs → False (It is possible but not definite)

III. All mobiles are chairs → False (It is possible but not definite)

Conclusion I and II form a complementary pair of “Some-No”.

Thus, only Either I or II follows.

Conditions for “Either-Or” case between two conclusions:

1. Two entities in both the conclusion should be same.
2. Both the conclusions should form complementary pair of “All-Some Not” or “No-Some”.

Note that sequence of entities in both the statements should be same in case of “All-Some Not” pair.

3. Both the conclusions should be possible in some possible Venn diagrams.
4. Both conclusion should NOT be simultaneously true (or false) in a single possible Venn diagram.

Note: 

Conditions of Either-or case:

1. The elements should be the same in both the statements.
2. Individually both the conclusions should be false.
3. One conclusion should be positive and one conclusion should be negative (Complementary pair)

The two complementary pairs are:

1. All + Some not

2. No + Some

Additional Information

As per the given Venn diagram:

Here, 12 is the number that represents urban men employed.

Hence, the correct answer is "Option (2)".

The given codes for letters:

 

Option 1) → 1, 6, 2, 4, 3, 5 → NARCOT

Option 2) → 6, 5, 2, 3, 1, 4 → ATRONC

Option 3) → 4, 6, 2, 5, 3, 1 → CARTON

Option 4) → 2, 3, 5, 4, 6,1 → ROTCAN

On replacing the numbers with the letters as per the given table, only one meaningful English word is formed i.e. CARTON.

Hence, the correct answer is "4, 6, 2, 5, 3, 1".

On observing the given figures carefully, we get:

In the question figure,

1. One dot is in the common area of the triangle and heart.
2. One dot is in the common area of the diamond (rhombus/kite) and heart.
3. One dot is solely placed in the circle only.

Option (1) → Common area of the diamond and heart isn't present.

Option (2) → All the required conditions are fulfilled as shown below:

Option (3) → Common area of the diamond and heart isn't present.

Option (4) → Common area of the triangle and heart isn't present.

Hence, the correct answer is "Option (2)".

 

We should not think of the exact shape and size of the figures in these questions.

Just resemblance will work like if an Equilateral triangle is given in the question figure, any shape of a triangle in the answer figure will work, be it right triangle or scalene triangle.

Given equation: 120 ÷ 12 × 6 + 24 - 15 = 27.

BODMAS Table: 

Let's check each option one by one.

Option 1) 12 and 6

Given: 120 ÷ 12 × 6 + 24 - 15 = 27

After interchanging the numbers we get;

⇒ 120 ÷ 6 × 12 + 24 - 15 = 27

⇒ 20 × 12 + 24 - 15 = 27

⇒ 240 + 24 - 15 = 27

⇒ 264 - 15 = 27

⇒ 249 ≠ 27

⇒ LHS ≠ RHS

Option 2) 12 and 15

Given: 120 ÷ 12 × 6 + 24 - 15 = 27

After interchanging the numbers we get;

⇒ 120 ÷ 15 × 6 + 24 - 12 = 27

⇒ 8 × 6 + 24 - 12 = 27

⇒ 48 + 24 - 12 = 27

⇒ 72 - 12 = 27

⇒ 60 ≠ 27

⇒ LHS ≠ RHS

Option 3) 12 and 24

Given: 120 ÷ 12 × 6 + 24 - 15 = 27

After interchanging the numbers we get;

⇒ 120 ÷ 24 × 6 + 12 - 15 = 27

⇒ 5 × 6 + 12 - 15 = 27

⇒ 30 + 12 - 15 = 27

⇒ 42 - 15 = 27

⇒ 27 = 27

⇒ LHS = RHS

Option 4) 6 and 24

Given: 120 ÷ 12 × 6 + 24 - 15 = 27

After interchanging the numbers we get;

⇒ 120 ÷ 12 × 24 + 6 - 15 = 27

⇒ 10 × 24 + 6 - 15 = 27

⇒ 240 + 6 - 15 = 27

⇒ 246 - 15 = 27

⇒ 231 ≠ 27

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 3".

After rearranging the jumbled words in their natural sequence:

Option (1):

GLINESH → ENGLISH → Language

Option (2):

MGENRA → GERMAN → Language

Option (3):

TNLIAIA → ITALIAN → Language

Option (4):

SYHIORT → HISTORY 

All except HISTORY, are Languages.

Hence, the correct answer is "SYHIORT".

After unjumbling the letters, we get:

THLAAPS → ASPHALT

THANAPH → NAPHTHA

LESIED → DIESEL

ENAHTME → METHANE

Except methane, all are products obtained from petroleum.

Hence, ENAHTME is the correct answer.

Additional Information

The answer figure which will complete the pattern in the given question figure is as follows:

Hence, the correct answer is "option (4)".

According to the given information:

 

By substituting the above symbols in the given equation, we get

⇒67 + 119 ÷  17 × 27  - 259 

⇒ 67 + 7 × 27  - 259 

⇒ 67 + 189 - 259

⇒ 256 - 259

= - 3

In the question figure, one of the dots lies in the common region of triangle and diamond only, and the second dot lies in the region common to arrow, rectangle, and triangle. Only figure (A) consists of these types of regions.

In figure (B), rectangle and arrow do not share any common area.

In figure (C), triangle and arrow do not share any common area.

In figure (D), triangle and diamond do not share any common area.

Hence, only figure (A) has all the types of figures required.

Hence, “A” is the correct answer.

The correct answer is option 3) i.e. Banal.

<br>

Explanation   

• The word 'Mundane' means lacking interest or excitement; dull.
• The synonyms of the given word 'Mundane' are "banal, day-to-day, everyday, humdrum, normal, prosaic".
• The antonyms of the given word 'Mundane' are "high-minded, lofty, noble, sublime, aberrant, abnormal, atypical".
• The synonym of the given word 'Mundane' is 'Banal' since both have a similar meaning.
• The word 'Banal' means lacking originality, freshness, or novelty.
• Hence, the correct answer is option 2 i.e. 'Banal'.
• ​​​Let's look at the meaning of the other given options-
  

 

• Examples of 'Mundane' in a sentence:
• There are mundane discussions about repairing the building's dry "moat" and replacing window guards.
• Stuff I save for myself is much more boring and mundane.
• The first known use of the word 'Mundane' in the 15th century.

The correct answer is 'correctness'.

Key Points

• The word 'Veracity' means devotion to telling the truth.
• The synonyms of the word 'Veracity' are "correctness, authenticity, genuineness".
• From the synonym of the given word, we can say that the word 'correctness' has the same meaning.
• The word 'correctness' means the quality of being right in an opinion or judgement.
  

Hence, the correct answer is option 1. Let's see the meaning of other given options:-

 

Additional Information

• The antonyms of the word 'Veracity' are "deceit, dishonesty, untruthfulness".
• Example of 'Veracity​' in a sentence:
• The chairman disallowed the veracity of his report.

The correct answer is 'Disinclination'.

Key Points

• The word 'Propensity' is a noun that refers to an inclination or natural tendency to behave in a particular way.
• For example, He's well-known for his natural propensity for candor and forthrightness.
• The marked option 'Disinclination' refers to a reluctance or lack of enthusiasm.
• For example, Sriparna felt a strong disinclination to talk about her engagement.
• We can see that the word 'Disinclination' can act as a word opposite to 'Propensity.'

Hence, the correct answer is Option 1.

Additional InformationLet us explore the other words given in the options:

• Forecast ⇒ A calculation or estimate of future events, especially coming weather or a financial trend..
• Usage example, The weather forecast said it was going to rain in the afternoon.
• Stagnation ⇒ The state of not flowing or moving. It is also used to refer to lack of activity, growth, or development.
• Usage example, Despite more than 4 years of economic stagnation, the unemployment rate remains low.
• Restlessness ⇒ The quality of being unwilling or unable to stay still or to be quiet and calm, because you are worried or bored.
• Usage example, There is a growing restlessness with the existing leadership at the state.

The correct answer is 'Repel.'

Key Points 

• Let us see the meaning of Enthrall:
• Enthrall: to hold somebody’s interest and attention completely. (पूरा-पूरा ध्यान खींच लेना, मंत्रमुग्‍ध कर देना, मोहित करना)
• Example: He was enthralled by her story.​
• Let us see the meanings of the given options:
• Delight: to give somebody great pleasure. ((किसी को) अत्‍यधिक आनंदित कर देना)
• Repel: to send or push somebody/something back or away. (किसी व्‍यकि्त या वस्‍तु को पीछे या दूर भेज या धकेल देना)
• Fascinate: to attract or interest somebody very much. (आकृष्‍ट करना या रुचि जगाना; मोहित करना)
• Enrapture: give intense pleasure or joy to. (तीव्र सुख या आनंद देना)
• From the meanings of the given words, we can say that "Enthrall" is opposite in meaning to "Repel."
• Hence, the correct answer is Option 2.

The correct answer is- 'absence without permission.' 

Key Points  

• The meaning of the given idiom is:
• French leave means go away without telling anyone. (बिना किसी को बताए चले जाना।)
• Example: He went on a french leave and was summoned by the direction the next day.
• By the above meaning and example, we can say that 'absence without permission' is the correct answer.

Hence option 2 is the appropriate answer. 

Additional Information 

• Let's learn about the origin of the given idiom:
• This expression stems from the custom prevalent in 18th century France of leaving a reception or entertainment without saying goodbye to your host or hostess.

The correct answer is under suspicion. 

Key Points

• The idiom "Under a cloud" means one is under suspicion of doing something fishy.
• Hence the correct option for the idiom "under a cloud" is "under suspicion".

Hinglish

• मुहावरा "Under a cloud" का अर्थ है कि किसी को कुछ गड़बड़ करने का संदेह है।
• इसलिए "Under a cloud" मुहावरे के लिए सही विकल्प "under suspicion" है।

Additional Information

• Origin - The origin of this phrase is from the dark medieval times around 14th and 15th century, where dark clouds represented ominous misfortune and bad luck.

The correct answer is 'Sell very fast'.

Key Points

• The most appropriate meaning of the given idiom 'Sell like hot cakes' is 'Sell very fast'.
• Sell like hot cake: to be bought quickly and in large numbers. (जल्दी और बड़ी संख्या में खरीदा जाना)
• Example: The new game is apparently selling like hot cakes.
  

Correct Answer: Sell very fast.

The correct answer is - Irrefutable.

Key Points

• Let's look at the meaning of the marked option:
• Irrefutable- impossible to deny or disprove
• Let's look at the meanings of the other given options: 
• Irresistible- too attractive and tempting to be resisted
• Irreparable- (of an injury or loss) impossible to rectify or repair
• Irrational- not logical or reasonable
• Hence, from the given meanings, we find that Irrefutable is the correct one-word substitute.

The correct answer is "Asylum".

Key Points

• Among the given options, the word "asylum" can substitute the given phrase.
• Asylum means a place of refuge or safety, especially for those seeking protection from persecution or difficult situations.(आश्रयस्थान)
• It is a noun and can be used in sentences like "The refugees were given asylum in a neighboring country."
• Other synonyms of asylum include refuge, shelter, sanctuary, and safe haven.

Hence, the correct answer is option 2.

Additional Information

• Home (option 1) refers to a place where one lives, whereas a place of refuge may not necessarily be one's permanent residence.(घर)
• Shelter (option 3) is another synonym for asylum and can also refer to a temporary place of protection or housing for those in need.(आश्रय)
• Hospice (option 4) is a place where people with terminal illnesses receive care and comfort in their final days.(धर्मशाला)

The correct answer is 'Option 1' (A).

Key Points

• The error is in segment 'A' ("The match would have won").
• It should be "would have been won" to make the sentence passive, making the sentence: "The match would have been won".
• This type of error stems from incorrect usage of verb forms in the passive voice.

Therefore, the correct answer is 'Option 1' (A).

 Additional Information

• Option 2 (B) 'by our', does not contain an error once the clause in segment A is corrected.
• Option 3 (C) 'team', is grammatically correct.
• Option 4 (D) 'No error', is incorrect because an error exists in segment A.

The correct answer is 'Option 2' (B).

Key Points

• The error is in the segment 'B' ("was catched by").
• "Catched" is inappropriate, it should be replaced with "was caught".
• The corrected phrase: "The ball was caught".
• This type of error is related to inappropriate past participle usage in the passive voice.

Therefore, the correct answer is 'Option 2' (B).

 Additional Information

• Option 1 (A), 'The ball', is grammatically correct.
• Option 3 (C) 'the fastest player', is also grammatically correct.
• Option 4 (D) 'No error', is incorrect because there is an error in segment A.

The correct answer is 'our college have been selected'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'our college has been selected' should be used instead of 'our college have been selected'.
• The given sentence is an example of subject-verb agreement. And here, 'singular verb' that is 'has' should be used.
• The structure of these kinds of sentences is: One + of + the + plural noun + singular verb.
• Example: This is one of the best institutions I have ever enrolled in.
  

Correct Sentence: One of the girls from our college has been selected for the National Basketball Championship.

The correct answer is 'the other minister have left'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'the other minister has left' should be used instead of 'the other minister have left'.
• When ‘along with’ is used to join two subjects then the verb that follows will be according to the first subject and in this case, it is ‘The Prime Minister’ which is singular.
• So, the singular verb ‘has’ will be used. 
  

Correct Sentence: The Prime Minister, along with the other ministers has left for the USA to attend an important meeting.

The correct answer is ‘Neither of the twins is'.

 Key Points

• The word 'neither', when used as the subject, takes a singular verb because it is referring to not one or the other of two people or things.
• So in this case, instead of using 'are', we should use 'is'.
• Therefore, the phrase "Neither of the twins are" should be replaced with "Neither of the twins is".
• Correct Sentence: Neither of the twins is able to solve the math problem.

Therefore, the correct answer is ‘Option 1’.

 Additional Information

• Option 2, 'Neither of the twins was', is not correct in this context because the sentence is in the present tense while 'was' is a past tense verb.
• Option 3, 'No one of the twins is', doesn't sound as natural as 'neither' when referring to two subjects, and it alters the sentence more than necessary.
• The sentence needs improvement, therefore 'No improvement' is not the correct option.

The correct answer is 'is dwindling due to'.

 Key Points

• The subject of the sentence is 'The number of species', which is singular.
• Therefore, a singular verb should be used. The verb 'are' mismatches with the singular subject in the sentence.
• 'The number of something' always takes a singular verb, so 'The number of species...are' must be replaced with 'The number of species...is'
• Therefore, "The number of species...are dwindling due to" should be replaced with "The number of species...is dwindling due to".

Therefore, the correct answer is ‘Option 1’.

 Additional Information

• Option 2, 'are dwindling because of', is not correct due to the verb tense issue as explained before. The subject is singular, so the verb should be 'is', not 'are'.
• Option 3, 'is dwindling as a consequence of', although grammatically correct and means the same thing as 'due to', is not the best choice since it changes the original sentence more than necessary.
• 'No improvement' is not a suitable option as the original sentence is erroneous