RRB NTPC CBT 2 (Level-3) Official Paper (Held On: 14 June 2022 Shift 2) (Previous Year Paper)

The correct answer is Darshana Jhaveri.

Key Points

• Darshana Jhaveri
• Darshana Jhaveri was born in Mumbai.
• Darshna Jhaveri is related to Manipuri dance.
• She learned Manipuri dance from Guru Bipin Singh.
• Later, she learned the traditional Raslila dances from Sutradhari Kshetritombi Devi, the Nata Pung from Guru Meitei Tomba Singh and traditional Maibi Jagoi from Kumar Maibi.
• Darshana Jhaveri received the Sangeet Natak Akademi Award in 1996 by Sangeet Natak Akademi.
• She was honored with the Padma Shri in 2002.
• She was awarded the Kalidas Samman Award in 2018.

Additional Information

The logic followed here is:

Hence, ‘N30’ is the correct answer.

Given:

$\sqrt[4]{{{{1296}^3}}}$

Calculation:

$\sqrt[4]{{{{1296}^3}}}$

⇒ $\sqrt[4]{{{{(36 \times 36)}^3}}}$

⇒ $\sqrt[4]{{{{(6^2 \times 6^2)}^3}}}$

⇒ $\sqrt[4]{{{{(6\times 6)}^ {2 \times 3}}}}$

⇒ $\sqrt[4]{{{{(6\times 6)}^6}}}$

⇒ $\sqrt[4]{{{{(6^2)}^6}}}$

⇒ $\sqrt[4]{{{{(6)}^{6 \times 2}}}}$

⇒ $\sqrt[4]{{{{(6)}^{12}}}}$

⇒ $6^{12 \over 4}$

⇒ 6³

⇒ 216

∴ The simplified answer of $\sqrt[4]{{{{1296}^3}}}$ is 216.

Seven boxes of different colours, Red, Yellow, Blue, Green, Orange, Violet and Indigo were stocked one on the other, not necessarily in the same order.

1. No other box was placed below the orange box. 2. The Red box was placed at the topmost position.

3. The Green box was second to the bottom of the Indigo box.  4. The Yellow box was exactly above the Indigo box. 

5. The Violet box was placed second to the top of the Blue box.

Clearly, the above condition cannot be satisfied in Case II, so it is eliminated.

The final arrangement is shown below:

 

1. Violet box – 7th position from the top → False (4th position from the top)
2. Yellow box – 5th position from the top → False (2^nd position from the top)
3. Green box – 3rd position from the top → False (5th position from the top)
4. Blue box – 6th position from the top → True

Hence, 'Blue box – 6th position from the top' is the correct answer.

The logic followed here is:

• BELATED
• Alphabetical order of letters: T > L > E = E > D > B > A
• Therefore, code = TLEEDBA
• STOREY 
• Alphabetical order of letters: Y > T > S > R > O > E
• Therefore, code = YTSROE
• DOUBBLE
• Alphabetical order of letters: U > O > L > E > D > B = B
• Therefore, code = UOLEDBB

Hence, ‘UOLEDBB’ is the correct answer.

The correct answer is Tennis.

Key Points 

• US Open champion Emma Raducanu has been voted BBC Sports Personality of the Year 2021.
• She has become the third WTA (Women's Tennis Association) player to win the award in its 67-year history.
• Raducanu became the first British woman to win a Grand Slam singles title after defeating Leylah Fernandez in the Flushing Meadows final in September 2021.

​ 

Important Points

• Raducanu follows in the footsteps of three-time Grand Slam champions Wade and Ann Jones as BBC Sports Personality of the Year winners.
• Wade and Jones collected the award after their Wimbledon triumphs in 1977 and 1969, respectively.
• Additionally, on the ATP (Association of Tennis Professionals) side, Greg Rusedski (1997) and Andy Murray (2013, 2015-16) have won the award.
• Raducanu beat two Olympic gold medallists into second and third place - diver Tom Daley and swimmer Adam Peaty.
• She is the first woman to win the BBC Sports Personality of the Year since equestrian Zara Phillips in 2006.

Given:

$\frac{1}{4},,\frac{4}{3},,\frac{5}{7},,\frac{5}{4},,\frac{8}{5}$

Concept used:

If A/B is a fraction, the reciprocal of A/B = B/A.

Calculation: 

Reciprocals of the given numbers are:

1/4 ⇒ 4

4/3 ⇒ 3/4

5/7 ⇒ 7/5

5/4 ⇒ 4/5

8/5 ⇒ 5/8

Hence, the sum of the reciprocals of the number

⇒ 4 + 3/4 + 7/5 + 4/5 + 5/8

⇒ $(160\ +\ 30\ +\ 56\ +\ 32\ +\ 25) \over 40$

⇒ $303\over 40$

Thus, the reciprocal of the sum of the reciprocals of the numbers = $\frac{{40}}{{303}}$

∴ The reciprocal of the sum of the reciprocals of the numbers is $\frac{{40}}{{303}}$.

Five candidates - J, K, L, M and N are sitting in the same row, facing north waiting to be interviewed by the HR Manager.

1. J is fourth from the left.
2. L is an immediate neighbor of both K and J.

3. N is to the left of K.

M, the only remaining person will occupy the vacant position.

The final arrangement will be as shown below:

Clearly, N is 5th from the right.

Hence, '5th from the right' is the correct answer.

The correct answer is The People of India.

Key Points

• Preamble:-  WE, THE PEOPLE OF INDIA, having solemnly resolved to constitute India into a SOVEREIGN SOCIALIST SECULAR DEMOCRATIC REPUBLIC and to secure to all its citizens:

JUSTICE, social, economic and political; LIBERTY of thought, expression, belief, faith and worship; EQUALITY of status and of opportunity; and to promote among them all FRATERNITY assuring the dignity of the individual and the unity and integrity of the Nation; IN OUR CONSTITUENT ASSEMBLY this twenty-sixth day of November 1949, (26th Nov 1949) do HEREBY ADOPT, ENACT AND GIVE TO OURSELVES THIS CONSTITUTION

• The preamble of the Indian constitution is taken from the constitution of the USA. But its ideals of Liberty, Equality, and Fraternity from the French Constitution.
• It has been amended by the 42nd constitutional amendment act, 1976, which added three new words:
• Socialist
• Secular
• Integrity.
• The preamble to the Indian constitution is based on the objective resolution drafted and moved by Pandit Nehru and adopted by the constituent assembly.

Shortcut Trick

Initial ratio of liquid A and liquid B is 3 : 4 and the new ratio is 4 : 5 after adding 5 litres of liquid A.

Since liquid B remains constant, equate its units by multiplying the first ratio by 5 and the second by 4.

Initial Ratio → 15 : 20 | New Ratio → 16 : 20

Increase in liquid A = 16 − 15 = 1 unit → 5 litres.

Quantity of liquid B = 20 units = 20 × 5 = 100 litres.

∴ The correct answer is 100 litres.

Alternate Method

Given: Initial ratio A : B = 3 : 4. Added quantity of A = 5 litres. New ratio A : B = 4 : 5.

⇒ Let the initial quantity of liquid A be 3x and liquid B be 4x.

⇒ According to the question: (3x + 5) / 4x = 4 / 5

⇒ Cross-multiplying: 5 × (3x + 5) = 4 × 4x

⇒ 15x + 25 = 16x

⇒ 16x − 15x = 25

⇒ x = 25

⇒ Quantity of liquid B = 4x = 4 × 25 = 100 litres.

Therefore, the total quantity of liquid B in the mixture is 100 litres, which corresponds to option (4).

∴ The correct answer is 100 litres.

Additional Information

Concept of Constant Quantity

When only one component of a mixture is added or removed, the quantity of the other component remains unchanged. Use this to equate the ratio parts of the constant component.

Ratio and Proportion Properties

If a : b is the initial ratio and x is added to 'a' to make the ratio c : d, then (a × k + x) / (b × k) = c / d, where k is a constant multiplier.

Alligation Rule

The ratio of the weights of two items mixed is inversely proportional to the differences between their concentrations and the mean concentration: (Quantity 1 / Quantity 2) = (C2 − Cm) / (Cm − C1).

The correct answer is Renuka Lake.

Key Points 

• Renuka lake is situated in the Sirmour district of Himachal Pradesh.
• It is 672 m above sea level.
• Renuka Lake is located at a distance of 37 km from Nahan and 60 km from Paonta Sahib covering an area of 2.5 km.
• One of the popular temples of Himachal Pradesh, Renukaji is situated on the bank of this lake.

Additional Information 

• Ashtamudi lake is an estuary which lies in the Kollam district.
• This is the second-largest wetland in Kerala with a palm-shaped extensive water body and eight prominent arms, adjoining the Kollam town.
• Vembanad Lake is also known as Vembanad Kayal, Vembanad Kol, Punnamada Lake and Kochi Lake (in Kochi).
• This is the largest lake in Kerala and the longest lake in India.
• Vallam Kali (i.e Nehru Trophy Boat Race) is a Snake Boat Race held every year in the month of August in Vembanad Lake.
• Sasthamkotta Lake, also categorized as a wetland, is the largest freshwater lake in Kerala.
• The lake is named after the ancient Sastha temple (a pilgrimage center) located on its bank.

Rajpal is a resident of the 21st floor from the top and 9th from the ground (which is counted as floor no. 1) of a building.

If the building has no basement.

Total number of floors in the building = 21 + 9 - 1

= 30 - 1

= 29

Hence, ‘29’ is the correct answer.

Shortcut Trick LCM of 18, 27, 30, 40, and 45 = 1080. Required number x = (LCM × k) + Remainder. For the least four-digit number, k = 1 → x = 1080 × 1 + 9 = 1089. Required Remainder = 1089 ÷ 37 → 1089 = (37 × 29) + 16. ∴ The correct answer is 16.

Alternate Method Given: Divisors are 18, 27, 30, 40, and 45. Remainder in each case = 9. Formula Used: Number (x) = [LCM(Divisors) × k] + Common Remainder.

⇒ Prime Factorization: ⇒ 18 = 2 × 32 ⇒ 27 = 33 ⇒ 30 = 2 × 3 × 5 ⇒ 40 = 23 × 5 ⇒ 45 = 32 × 5 ⇒ LCM = 23 × 33 × 5 = 8 × 27 × 5 = 1080. ⇒ Since 1080 is a four-digit number, the least value of x occurs at k = 1. ⇒ x = 1080 + 9 = 1089. ⇒ Now, divide 1089 by 37: ⇒ 1089 ÷ 37 = 29 with a remainder of 16. ∴ The correct answer is 16.

Additional Information LCM Method for Remainders When a number is divided by a, b, c and leaves the same remainder r in each case, the number is of the form: [LCM(a, b, c) × k] + r. Least n-digit Number To find the least n-digit number, we adjust 'k' such that the product (LCM × k) is just above the smallest n-digit power (like 1000 for 4 digits). Remainder Theorem If a number N is divided by D, then N = D × Q + R, where Q is the quotient and 0 ≤ R < D.

Rahul started from his home to go to a park.

• He went 50 metres towards the East.

• Then turned towards the South and walked 10 metres.

• He then turned right and walked for 40 metres.

 

• Finally, he turned to his right and walked 20 metres to reach the park.

Clearly, the house is to the south-west of the park.

Hence, 'South-west' is the correct answer.

The correct answer is January 2022.

Key Points 

• The Lok Sabha secretariat launched a new app titled “Digital Sansad” on January 27, 2022.
• About Digital Sansad App:
• The digital sandad app was launched to make it easier for people to follow proceedings in Parliament and their lawmakers.
• The app is available in both android and IOS platform.
• It carries all the major content of interlinked portal of Indian Parliament.
• ​This app is launched:
• ​Legislature is required to keep its constituents apprised of its routine proceedings.
• This objective needs Parliament to keep its communication channels up-to-date with evolving technological landscape.
• Thus, parliament started expanding its digital footprint.
• Launch of ’Digital Sansad App’ is an initiative in that direction.
• ​Digital Sansad App is the brainchild of Lok Sabha Speaker, Om Birla.
• With this app, he sought to make parliamentary proceedings more accessible to people.

Shortcut Trick

Find the slant height (l) using the triplet: l = √(8² + (12 − 6)²) = √(8² + 6²) = 10 cm.

Curved Surface Area = π × (sum of radii) × slant height

⇒ CSA = π × (12 + 6) × 10 = 180π cm².

∴ The correct answer is 180π cm².

Alternate Method

Given data:

Height (h) = 8 cm

Top radius (r) = 6 cm

Bottom radius (R) = 12 cm

Formula used:

Slant height (l) = √(h² + (R − r)²)

Curved Surface Area (CSA) = π × (R + r) × l

Calculations:

⇒ l = √(8² + (12 − 6)²)

⇒ l = √(64 + 6²) = √(64 + 36)

⇒ l = √100 = 10 cm

⇒ CSA = π × (12 + 6) × 10

⇒ CSA = π × 18 × 10

⇒ CSA = 180π cm²

∴ The correct answer is 180π cm².

Additional Information

Total Surface Area (TSA) of Frustum

TSA = CSA + Area of top circle + Area of bottom circle = π(R + r)l + πR² + πr².

Volume of Frustum of a Cone

Volume (V) = (1/3) × π × h × (R² + r² + Rr).

Slant Height Relation

The slant height (l) is the hypotenuse of a right-angled triangle formed by the height (h) and the difference in radii (R − r).

The correct answer is Gujarat.

Key Points

• Gujarat state’s groundnut exports surged to 4.7 lakh metric tonnes (MT) in fiscal year.
• The maximum quantity of groundnut was exported to Vietnam, Indonesia, Philippines and China.
• Gujarat, the largest producer of the oilseed in India.
• Gujarat, it was sown in 20.65 lakh hectares followed by Andhra Pradesh 7.50 lakh ha, Rajasthan 7.28 lakh ha, Karnataka 5.34 lakh ha and Madhya Pradesh 2.80 lakh ha.

Additional Information

• Peanut or groundnut (Arachis hypogaea), is a species in the legume or "bean" family.
• The peanut was probably first domesticated and cultivated in the valleys of Paraguay.
• Peanuts are known by many other local names such as earthnuts, ground nuts, goober peas, monkey nuts, pygmy nuts and pig nuts.
• The main Groundnut varieties produced in India are Kadiri-2, Kadiri-3, BG-1, BG-2, Kuber , GAUG-1, GAUG-10, PG-1 , T-28, T-64, Chandra, Chitra, Kaushal, Parkash, Amber etc.
• Major Growing States:
• Gujarat, Andhra Pradesh, Tamil Nadu, Karnataka, Maharashtra ,Rajasthan, Madhya Pradesh, Orissa, and Uttar Pradesh.

Shortcut Trick Test standard angles for 0° < θ < 90°. Let θ = 30°: 3 × cos2 30° + 1 = 3 × (3/4) + 1 = 9/4 + 1 = 13/4. (Does not match 4 sin 30° = 2) Let sin θ = 1/3: 3(1 − 1/9) + 1 = 3(8/9) + 1 = 8/3 + 1 = 11/3. (Does not match 4/3) Solving the quadratic in sin θ gives sin θ = 2/3. Then sec2 θ = 1 / (1 − sin2 θ) = 1 / (1 − 4/9) = 9/5. ∴ The correct answer is 9/5. Alternate Method Given: 3 cos2 θ + 1 = 4 sin θ Formula Used: cos2 θ = 1 − sin2 θ; sec2 θ = 1 / cos2 θ

⇒ 3(1 − sin2 θ) + 1 = 4 sin θ ⇒ 3 − 3 sin2 θ + 1 = 4 sin θ ⇒ 3 sin2 θ + 4 sin θ − 4 = 0 ⇒ 3 sin2 θ + 6 sin θ − 2 sin θ − 4 = 0 ⇒ 3 sin θ(sin θ + 2) − 2(sin θ + 2) = 0 ⇒ (3 sin θ − 2)(sin θ + 2) = 0 ⇒ sin θ = 2/3 (Since sin θ cannot be −2) ⇒ cos2 θ = 1 − (2/3)2 = 1 − 4/9 = 5/9 ⇒ sec2 θ = 1 / (5/9) = 9/5 ∴ The correct answer is 9/5. Additional Information Trigonometric Identities Fundamental identities include sin2 θ + cos2 θ = 1, 1 + tan2 θ = sec2 θ, and 1 + cot2 θ = cosec2 θ. Reciprocal Relations sec θ = 1/cos θ, cosec θ = 1/sin θ, and cot θ = 1/tan θ. Pythagorean Theorem In a right-angled triangle, Hypotenuse2 = Perpendicular2 + Base2.

The logic followed here is:

Hence, '227' is the correct answer.

Shortcut Trick

For a 2-year period, the ratio of Principal (P) to Amount (A) is used by taking the square root.

Ratio of P : A → 400 : 484

Divide by 4 → 100 : 121

Square root for 1 year → √100 : √121 = 10 : 11

Interest for 1 year = 11 − 10 = 1 unit

Rate % = (1 ÷ 10) × 100 = 10%

∴ The correct answer is 10%.

Alternate Method

Given:

Principal (P) = ₹400

Amount (A) = ₹484

Time (n) = 2 years

Formula Used: A = P(1 + R/100)ⁿ

Calculations:

⇒ 484 = 400(1 + R/100)²

⇒ 484 ÷ 400 = (1 + R/100)²

⇒ 121 ÷ 100 = (1 + R/100)²

⇒ √(121 ÷ 100) = 1 + R/100

⇒ 11 ÷ 10 = 1 + R/100

⇒ R/100 = (11 ÷ 10) − 1

⇒ R/100 = 1 ÷ 10

⇒ R = (1 × 100) ÷ 10

⇒ R = 10%

∴ The correct answer is 10%.

Additional Information

Compound Interest Formula

The total amount A is given by A = P(1 + r/n)^nt, where n is the number of times interest is compounded per year.

Effective Rate of Interest

When interest is compounded more than once a year, the effective rate is higher than the nominal rate: E = (1 + r/n)ⁿ − 1.

CI vs SI for 2 Years

The difference between CI and SI for 2 years is given by: D = P(R/100)².

Rule of 72

A quick way to estimate how long it takes to double your money: Time ≈ 72 ÷ Interest Rate.

Given:

\(\left[ {2\frac{7}{8}, - ,\left{ {3, - ,\left( {1\frac{1}{4}, - ,\frac{5}{8}} \right)} \right}} \right], + ,{\rm{P}}, \times ,\frac{1}{8}\) = 0

Concept used:

Calculation:

\(\left[ {2\frac{7}{8}, - ,\left{ {3, - ,\left( {1\frac{1}{4}, - ,\frac{5}{8}} \right)} \right}} \right], + ,{\rm{P}}, \times ,\frac{1}{8}\) = 0

⇒\(\left[ {2\frac{7}{8}, - ,\left{ {3, - ,\left( {\frac{5}{4}, - ,\frac{5}{8}} \right)} \right}} \right], + ,{\rm{P}}, \times ,\frac{1}{8}\) = 0

⇒\(\left[ {2\frac{7}{8}, - ,\left{ {3, - ,\left( {,\frac{10 - 5}{8}} \right)} \right}} \right], + ,{\rm{P}}, \times ,\frac{1}{8}\) = 0

⇒\(\left[ {2\frac{7}{8}, - ,\left{ {3, - ,{,\frac{5}{8}}} \right}} \right], + ,{\rm{P}}, \times ,\frac{1}{8}\) = 0

⇒\(\left[ {2\frac{7}{8}, - ,\left{ { {\frac{24-5}{8}}} \right}} \right], + ,{\rm{P}}, \times ,\frac{1}{8}\) = 0

⇒$\left[ {\frac{23}{8}, - , { {\frac{19}{8}}}} \right], + ,{\rm{P}}, \times ,\frac{1}{8}$ = 0

⇒$\left[ {{ {\frac{23-19}{8}}}} \right], + ,{\rm{P}}, \times ,\frac{1}{8}$ = 0

⇒ $\frac{1}{2} + ,{\rm{P}}, \times ,\frac{1}{8}$ = 0

⇒ $\frac{1}{2} + \frac{\rm P}{8}$ = 0

⇒ $\rm\frac{4+P}{8}$ = 0

⇒ 4 + P = 0

⇒ P = - 4

∴ Required answer of P is - 4.

Venn diagram:

Conclusions:

A. Some students are professors. → True (Some professors are students.)

B. Some teachers are professors. → True (As all students are teachers and Some professors are students)

Hence, Both conclusions A and B follow.

Shortcut Trick

Height (h) = 4/5 × 12.5 = 10 cm

Volume = π × r² × h

Volume = π × 156.25 × 10 = 1562.5 π cm³

∴ The correct answer is 1562.5 π cm³.

Alternate Method

Given:

Base radius (r) = 12.5 cm

Height (h) = 4/5 × radius

Formula Used:

Volume of a cylinder = πr²h

Calculations:

⇒ h = (4/5) × 12.5 cm

⇒ h = 4 × 2.5 = 10 cm

⇒ Volume = π × (12.5)² × 10

⇒ Volume = π × 156.25 × 10

⇒ Volume = 1562.5 π cm³

∴ The correct answer is 1562.5 π cm³.

Additional Information

Curved Surface Area (CSA) of Cylinder

The area of the side surface of the cylinder is given by 2πrh.

Total Surface Area (TSA) of Cylinder

The sum of the CSA and the area of the two circular bases: 2πrh + 2πr² = 2πr(h + r).

Volume of a Cone

For the same radius and height, the volume of a cone is exactly one-third of the volume of a cylinder: (1/3)πr²h.

The correct answer is Viruses.

Key Points 

• Dengue is caused by the Dengue virus and mosquito-borne viral disease.
• The dengue virus is transmitted by female mosquitoes called – Aedes aegypti.
• These dengue mosquitos are found everywhere (Both inside and outside the house) and generally bite during the daytime.
• These mosquitos are found to be at the peak of their activeness at dawn and dusk.
• The symptoms of the disease can develop only after 6 to 10 days after being bitten by an infected mosquito.

The correct answer is Seventh Schedule.

Key Points 

• The 7th Schedule of the Indian Constitution deals with the division of powers between the Union government and State governments.
• Article 246 deals with the 7th Schedule of the Indian Constitution.
• It mentions three lists named Union List, State List, and Concurrent List which specify the divisions of power between Union and States.
• There are 100 subjects on the union list, 61 subjects on the state list, and 52 subjects on the concurrent list.

Additional Information 

• Eighth Schedule:
• The provisions relating to the 8th Schedule are in articles 344(1) and 351.
• 22 official languages in India are covered under the 8th schedule.
• Ninth Schedule:
• The Schedule contains a list of central and state laws which cannot be challenged in courts and was added by the Constitution (First Amendment) Act, 1951.
• The first Amendment added 13 laws to the Schedule. Subsequent amendments in various years have taken the number of protected laws to 284 currently.
• It was created by the new Article 31B, which along with Article 31A was brought in by the government to protect laws related to agrarian reform and for abolishing the Zamindari system.

Given:

Manu purchased an old bike for ₹5,500 and spent 12% of this amount on repairs.

Sold the bike at an overall loss of 5%.

Concept used:

Selling Price = Cost Price - Cost Price × Loss%

Calculation:

Amount spent on repairing the bike

⇒ 5500 × 12%

⇒ ₹660

Overall cost price of the bike = 5500 + 660 = ₹6160

Hence, the selling price of the bike

⇒ 6160 - 6160 × 5%

⇒ 6160 - 6160 × 0.05

⇒ 6160 - 308

⇒ ₹5852

∴ The price at which Manu sold the bike was ₹5852.

Pairs of letters in the word "VERSION" (in both the forward and backward directions) which have as many letters between them in the word as there are in the English alphabetical order is shown below:

1. RS
2. NO
3. NR
4. OR
5. SV

Hence, ‘5’ is the correct answer.

The logic followed here is:

According to the alphabetical positions of the letters,

Hence, ‘35P51’ is the correct answer.

The correct answer is Raj Angad Bawa.

Key Points

• Raj Angad Bawa takes 5/31 in U19 World Cup final.
• India win the 2022 U19 World Cup title, by beating England by 4 wickets
• Shaik Rasheed and Nishant Sindhu cracked the 50s in chase of 190 as India clinched record-extending fifth U19 World Cup title in Antigua.
• Raj Bawa claimed a fifer while Ravi Kumar bagged 4 wickets to fold England for 189.
• BCCI president Sourav Ganguly announced a cash prize of 40 lakhs.

Additional Information

• The 2022 ICC Under-19 Cricket World Cup was held in the West Indies in January and February 2022 with sixteen teams taking part.
• It was the fourteenth edition of the Under-19 Cricket World Cup, and the first that was held in the West Indies.
• England became the first team to reach the final of the tournament after they beat Afghanistan by 15 runs in the first Super League semi-final match.
• It was the first time that England had reached the final of the Under-19 Cricket World cup since winning the 1998 tournament in South Africa.
• In the second semi-final, India beat Australia by 96 runs.

Let's check each option:

1. ÷ and +

Given equation: 69 × 3 - 4 ÷ 5 + 6 = 9

After interchanging the signs, we get:

L.H.S = 69 × 3 - 4 + 5 ÷ 6

= 69 × 3 - 4 + 0.83

= 207 - 4 + 0.83

= 207.83 - 4

= 203.83 ≠ R.H.S

2. × and +

Given equation: 69 × 3 - 4 ÷ 5 + 6 = 9

After interchanging the signs, we get:

L.H.S = 69 + 3 - 4 ÷ 5 × 6

= 69 + 3 - 0.8 × 6

= 69 + 3 - 4.8

= 72 - 4.8

= 67.2 ≠ R.H.S

3. + and -

Given equation: 69 × 3 - 4 ÷ 5 + 6 = 9

After interchanging the signs, we get:

L.H.S = 69 × 3 + 4 ÷ 5 - 6

= 69 × 3 + 0.8 - 6

= 207 + 0.8 - 6

= 207.8 - 6

= 201.8  ≠ R.H.S

4. × and ÷

Given equation: 69 × 3 - 4 ÷ 5 + 6 = 9

After interchanging the signs, we get:

L.H.S = 69 ÷ 3 - 4 × 5 + 6

= 23 - 4 × 5 + 6

= 23 - 20 + 6

= 29 - 20

= 9 = R.H.S

Hence, ‘× and ÷’ is the correct answer.

The correct answer is Surdas.

Key Points

• The Sursagar is a poetic composition by Surdas.
• Surdas was a great devotee of Lord Krishna.
• In Sursagar, most of the compositions are attributed to Lord Krishna.
• He was one of the prominent figures in the Bhakti Movement between the 14th to 17th centuries of India.
• He was blind and was a poet.
• Other literary works of Surdas are Sur Saravali, and Sahitya Lahari.
• His most of poems were written praising Lord Krishna.

Additional Information

• Virdas
• He is an Indian comedian, actor, and musician.
• Also, a bollywood actor worked in films like Badmaash Company, Delhi Belly, and Go Goa Gone.
• Chaitanya​
• Born at Navadwip, West Bengal, in 1486 A.D.
• He was famous for his unique devotion to Krishna with ecstatic song and dance.
• Chaitanya introduced the Sankhya philosophy of “Achintya bhedabheda”.
• Vidyapati
• Vidyapati Thakur was a Maithili Brahman writer and poet.
• He was known for his Sanskrit works and also for his erotic poetry written in the Maithili language.
• He was a devotee of Shiva, but also wrote love songs and devotional Vaishnava songs.

The correct answer is Mewati.

Key Points

• Rattan Mohan Sharma is an Indian classical vocalist, belonging to the Mewati Gharana.
• He is one of the highest-selling recording artists ever in the Spiritual and Devotional categories.
• His trendsetting albums such as "Gayatri Mantra" have sold over half a million copies the world over.
• He has more than "300 BEST SELLING ALBUMS" to his credit.
• He has received several awards and the title of "Badshah-e-Taraana"  for creating a breathtaking unique style of "Taraana".
• He has trained under Pandit Jasraj and Pandit Pratap Narayan (Tabla).
• His melodious rendition of "Haveli Sangeet" and "Rajasthani Folk" has always left audiences worldwide spellbound.
• More than 5000 of his performances worldwide have been in temples, colleges, and prestigious music festivals.
• He is the Founder of Pandit Jasraj School of Music Foun dation- Mumbai and also a faculty in Pandit Jasraj School of Music Foundation- Tampa, Florida, US.​​

Additional Information

• Indian Music Gharanas

Given:

A and B together can complete a piece of work in 36 days while B and C together can do it in 20 days.

The efficiency of C is thrice the efficiency of A.

Concept used:

Total work = Work done per day × Total time taken 

Calculation:

LCM (36, 20) = 180

Let the total work be the LCM of the individual like taken by the group of workers.

Hence, total work = 180 units

Similarly, let A and B do P and Q units work a day respectively.

Thus, C does = 3 × P = 3P units work a day.

According to the question,

(P + Q) × 36 = 180

⇒ P + Q = 180/36

⇒ P + Q = 5

⇒ Q = (5 - P)      ....(1)

(Q + 3P) × 20 = 180

⇒ Q + 3P = 180/20

⇒ Q + 3P = 9

⇒ (5 - P) + 3P = 9 (From 1)

⇒ 2P = 4

⇒ P = 2

Now,

Q = 5 - P

⇒ 5 - 2 = 3

Hence, B alone can complete two-third of the original work in

⇒  ${180 × {2 \over 3}} \over 3$

⇒ 180 × ${2 \over 9}$

⇒ 40 days

∴ B alone can complete two-third of the original work in 40 days.

The correct answer is Arthashastra.

Key Points 

• Kautilya’s Arthashastra is an ancient Indian Sanskrit treatise on statecraft, economic policy, and military strategy.
• The book on statecraft was written in the Mauryan period.
• The text is divided into 15 chapters known as books.
• The book was written in Sanskrit.
• Even before the final version of Arthashastra was written in the fourth century B.C. by Kautilya, there appeared a tradition of writing on and teaching of statecraft because Kautilya acknowledges his debt to his predecessors in the field.
• Kautilya was the Prime Minister of Chandragupta Maurya.

Additional Information

• Indica was written by Megasthenes.​

• Megasthenes was the Greek ambassador at Chandragupta Maurya's court.

The correct answer is Ministry of Civil Aviation.

Key Points

• The Ministry of Civil Aviation (MoCA) published the UAS Rules, 2021.
• They were perceived by academia, Startups, end-users and other stakeholders as being restrictive in nature as they involved considerable paperwork, required permissions for every drone flight and very few “free to fly” green zones were available.
• In view of its traditional strengths in innovation, information technology, frugal engineering and huge domestic demand, India has the potential to be global drone hub by 2030.

Additional Information

• key features of Drone Rules 2021
• Built on a premise of trust, self-certification and non-intrusive monitoring.
• Designed to usher in an era of super-normal growth while balancing safety and security considerations.
• Digital sky platform shall be developed as a user-friendly single-window system.
• There will be minimal human interface and most permissions will be self-generated.
• No remote pilot licence required for micro drones (for non-commercial use) and nano drones.
• No requirement for security clearance before issuance of any registration or licence.

The correct answer is Geneva, Switzerland.

It was established in 1971 as a not-for-profit foundation that is headquartered in Geneva, Switzerland.

• The World Economic Forum is the International Organization for Public-Private Cooperation.
• The WEF was founded by Klaus Schwab, a business professor at the University of Geneva.
• The Forum engages the foremost political, business, cultural and other leaders of society to shape global, regional and industry agendas.
• Reports released by the WEF - Global Competitiveness Report, the Global Risks Report and the Global Gender Gap Report.

Additional Information

• The annual meeting of the World Economic Forum took place in Switzerland.
• The World Economic Forum's Annual Meeting will take place in Davos-Klosters, Switzerland from 22-26 May 2022.
• It will take place under the theme of Working Together, Restoring Trust.
• It will be the first global in-person leadership event since the outbreak of the COVID-19 pandemic.
• The World Economic Forum is pleased to announce that it will hold its Annual Meeting 2022 in Davos-Klosters, Switzerland, from Sunday 22 to Thursday 26 May.
• The Annual Meeting 2022, returning to Davos-Klosters after a two-year hiatus, will offer world leaders an opportunity to take stock of the state of the world and shape partnerships and policies for the crucial period ahead.

The correct answer is Annie Besant.

Key Points

• Annie Besant was connected to the Home Rule Movement in India.
• Annie Besant launched the All India Home Rule League in 1916 along with Bal Gangadhar Tilak.
• Annie Besant was an ardent supporter of Irish self-rule.
• Annie Besant fought for the freedom of thought, secularism, women’s rights, and various social issues.
• Annie Besant Besant converted to Theosophy after meeting Helena Blavatsky in 1889.
• She came to India for the first time in 1893 as part of the Theosophical Society.
• Annie Besant was the society’s president from 1907 to 1933.
• Annie Besant set up the Central Hindu College (CHC) at Benares in 1898.
• She also joined the Indian National Congress (INC) in 1914.
• She also became the Congress President in the Calcutta session in 1917.

Additional Information

• Sarojini Naidu
• Sarojini Naidu was the first Indian woman president of the Indian National Congress.
• She became the president of the Indian National Congress in the Kanpur session in 1925.
• She was given the title of "Nightingale of India" for her contributions in the field of poetry writing.
• She was called 'Bharat Kokila'.
• She is the first woman to hold the office of governor in the dominion of India.
• She became the governor of the United Provinces in 1947.
• Madam Bhikaji Cama
• Madam Bhikaji Cama hoisted the Indian Flag in Germany.
• International Socialist Conference was being held at Stuttgart where the flag was hoisted in the year 1907.
• She is also known as the mother of the Indian Revolution.
• She founded the Paris Indian Society.
• Matangini Hazra
• She was an Indian revolutionary who participated in the Indian independence movement until she was shot dead by the British Indian police in front of the Tamluk Police Station, Midnapore District.
• She was affectionately known as "Gandhi buri" and "Bangla for old lady Gandhi".
• In 1920, she took part in the Non-Cooperation Movement and was arrested for breaking the Salt Act.
• She also participated in the 'Chowkidari Tax Bandha' (abolition of chowkidari tax) movement.

The correct answer is The UAE.

Key Points

• The United Arab Emirates has announced to change its existing five-day workweek to a four-and-a-half day starting January 1, 2022.
• It has become the world's first country to make the employee-friendly transition as part of its efforts to improve productivity and work-life balance.
• Monday to Thursday the work timings would be from 7.30 am to 3.30 pm, followed by a half-day on Friday.​

Additional Information

• Saturdays and Sundays are full-day holidays under the new rule.
• Further, employees would be offered flexible working hours and work-from-home options on Friday.
• The new system will first be implemented in all federal government entities; schools, colleges, and private institutions are expected to follow suit.

Given:

$7\frac{3}{5}, \times ,4\frac{1}{2},, - ,{\rm{K}},,{\rm{ = }},,{\rm{26}}\frac{3}{4}$

Concept used:

Calculation:

$7\frac{3}{5}, \times ,4\frac{1}{2},, - ,{\rm{K}},,{\rm{ = }},,{\rm{26}}\frac{3}{4}$

⇒ ${{38} \over 5} \times {9 \over 2}$ - K = ${107 \over 4}$

⇒ $342 \over 10$ - ${107 \over 4}$ = K

⇒ K = ${684 - 535} \over 20$

⇒ K = $149 \over 20$

⇒ K = $7\frac{9}{{20}}$

∴ $7\frac{9}{{20}}$ can replace K in $7\frac{3}{5}, \times ,4\frac{1}{2},, - ,{\rm{K}},,{\rm{ = }},,{\rm{26}}\frac{3}{4}$.

$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$

Given:

The marks obtained by A in a test are 20% more than the marks obtained by B, and C obtained 85% of the total marks obtained by A and B.

Calculation:

Let marks obtained by B be 100Q.

Hence, marks obtained by A = 100Q + 100Q × 20% = 120Q

Thus, marks obtained by C

⇒ (100Q + 120Q) × 85%

⇒ 220Q × 85%

⇒ 187Q

Now,

% = ${{187Q - 120Q} \over 187Q} \times 100\%$

⇒ ${{67Q} \over 187Q} \times 100\%$ ≈ 35.82% ≈ 35.8% 

∴ By 35.8% the marks obtained by A are less than the marks obtained by C.

Given:

A can do a piece of work in 24 days and B can do $\frac{2}{5}$ of the same work in 12 days.

Both work together for 6 days.

Concept used:

Total work = Work done per day × Total time taken 

Calculation:

B can do $\frac{2}{5}$ of the same work in 12 days

Hence, time taken by B to complete the work = 12 ÷ $\frac{2}{5}$ = 30 days

LCM (24, 30) = 120

Let the total work be the LCM of the individual time taken by the workers.

Hence, total work = 120 units

Thus,

A does a day = 120/24 = 5 units work

B does a day= 120/30 = 4 units work

Now, work done by them together in 6 days

⇒ 6 × (5 + 4)

⇒ 54 units

Hence, the remaining work in fraction = ${{120 - 54} \over 120}$

⇒ ${{66} \over 120}$ = $\frac{{11}}{{20}}$

∴ $\frac{{11}}{{20}}$ work is still left.

Given sequence: h__cd_p_c_h_k_dh_k

1. phcdkpchdk → phhcc - ddpkc - phckh - dhdkk
2. phdkpchkpc → ​phhdc - dkppc - chhkk - dhpkc
3. dphkchdpck → ​dhphc - dkpcc - hhdkp - dhckk
4. ​dpkhkdpcpc → dhpkc - dhpkc - dhpkc - dhpkc

• In option 4, dhpkc is repeated

Hence, ‘dpkhkdpcpc’ is the correct answer.

In a certain code language,

• 'club' is written as 'school'
• 'school' is written as 'playground'
• 'playground' is written as 'house'
• 'house is written as 'market'
• 'market' is written as 'bus'

Students go to study to 'School' and 'school' is written as 'playground'.

Therefore, students go to study to Playground.

Hence, ‘Playground’ is the correct answer.

Given:

Two chords AB and CD of a circle intersect at point F inside the circle. If AF = 4 cm, BF = 6 cm and CF = 3 cm.

Concept used:

If PQ and RS are two chords of a circle that intersect at a point M, we can conclude

PM × QM = RM × SM

Calculation:

Accoding to the concept,

AF × BF = CF × DF

⇒ 4 × 6 = 3 × DF

⇒ DF = 24/3

⇒ DF = 8

Now, the length of CD

⇒ (CF + DF)

⇒ 3 + 8

⇒ 11 cm

∴ The length of CD is 11 cm.

Eight friends are sitting around a circular table at equal distances with their back towards the centre of the table.

1. Ishin is sitting to the immediate right of Anshu. 2. Only three people sit between Ishin and Varun. 3. Fiza is sitting to the immediate left of Anshu. 

4. Dhruv is to the immediate left of Varun. 5. Amina is is not an immediate neighbour of Dhruv.

6. Only three people sit between Harmeet and Fiza.

7. There are only two people between Mohit and Harmeet. 

The vacant position will be occupied by the only left person Amina.

Therefore, the final arrangement will be as shown below:

Clearly, Amina is sitting to the immediate left of Harmeet.

Hence, 'Amina' is the correct answer.

The correct answer is Subscript.

Key Points

• While writing a chemical formula H₂O, the number of molecules is denoted in the subscript form.
• There is a provision in Microsoft Office Word to write the number in the subscript form by using the 'Subscript' option.
• Subscript: 
• The <sub> tag is used to add a subscript text to the HTML document.
• The <sub> tag defines the subscript text.
• Subscript text appears half a character below the normal line and is sometimes rendered in a smaller font.
• Subscript text can be used for chemical formulas, like H₂O to be written as H₂O.

Additional Information

• Drop cap
• ​MS Word provides a special feature known as a drop cap.
• A drop cap is a large capital letter that presents at the beginning of a text block or a paragraph and has the depth of two or more lines of regular text.
• A drop cap is the largest capital letter or a word(according to the user requirement) which is used as a decorative element at the beginning of a paragraph.
• Superscript​
• ​Superscript is a character(s) half the height of a standard character and printed higher than the rest of the text.
• An example of a superscript is 2⁵.
• Superscript can be used for exponents in mathematics.
• Strikethrough
• ​Strikethrough is a font effect that causes text to appear as though it is crossed out.
• Strikethrough is often used to indicate text that is no longer valid in a document or on a web page.

Shortcut Trick Let Mode = 13 and Median = 9 based on the given ratio. Empirical formula: Mode = 3 × Median − 2 × Mean ⇒ 13 = 3 × 9 − 2 × Mean ⇒ 2 × Mean = 27 − 13 = 14 ⇒ Mean = 7 ∴ The correct answer is 7 : 13.

Alternate Method Given: Ratio of Mode to Median = 13 : 9 Formula Used: Empirical Relation: Mode = 3 × Median − 2 × Mean

Empirical Formula Ratio Mean

7 Parts

Median

9 Parts

Mode

13 Parts

Calculations: ⇒ Let Mode = 13x and Median = 9x ⇒ Substituting the values into the empirical formula: ⇒ 13x = 3 × (9x) − 2 × Mean ⇒ 13x = 27x − 2 × Mean ⇒ 2 × Mean = 27x − 13x ⇒ 2 × Mean = 14x ⇒ Mean = 7x ⇒ Required ratio = Mean : Mode ⇒ Ratio = 7x : 13x = 7 : 13 ∴ The correct answer is 7 : 13.

Additional Information Empirical Relationship For a moderately skewed distribution, the relationship between the three measures of central tendency is given by: Mode = 3 × Median − 2 × Mean. Types of Distribution Skewness Symmetrical Distribution: Mean = Median = Mode.Positively Skewed: Mean > Median > Mode.Negatively Skewed: Mean < Median < Mode. Measures of Central Tendency Mean is the average of all data points. Median is the middlemost value when data is arranged in ascending order. Mode is the value that occurs most frequently in the dataset.

1. Yatharth scored more marks than Karan.

Yatharth > Karan

2. Parth's marks were less than Amrita.

Amrita > Parth

3. Vineeta scored more marks than Parth.

Vineeta > Parth

4. Parth scored exactly the same marks as Yatharth.

Parth = Yatharth

5. Girish did not score more marks than Karan.

Karan > Girish

6. Vineeta scored less marks than Amrita.

Amrita > Vineeta

From all the 6 statements, we get:

Amrita > Vineeta > Parth = Yatharth  > Karan > Girish

1. Karan scored less marks than Vineeta. → True
2. Girish scored less marks than Parth. → True
3. Amrita scored more marks than Karan. → True
4. Yatharth scored more marks than Amrita. → False (Amrita scored more marks than Yatharth)

Clearly, option 4 is NOT correct according to above information.

Hence, 'option 4' is the correct answer.

The correct answer is Things to Leave Behind.

Key Points

• The Sahitya Akademi, on 30 December 2021, announced its awards for 2021 for literary works in 20 languages, including novels in Assamese and English.
• In English, Author Namita Gokhale won the award for her book Things to Leave Behind.
• This year, 7 books of poetry, five short stories, two plays, one each of biography, autobiography, criticism and epic poetry have been chosen for the award.

Additional Information

• Ms Gokhale was awarded for her novel Things to Leave Behind and Ms Pujari for Iyat Ekhan Aaronya Asil.
• Daya Prakash Sinha was awarded in Hindi for Samrat Ashok (Play).
• Among the winners for poetry were Mwdai Gahai (Bodo), Sanjiv Verenkar (Konkani), Hrushikesh Mallick (Odia), Meethesh Nirmohi (Rajasthani), Vindeshwariprasad Mishr ‘Vinay’ (Sanskrit), Arjun Chawla (Sindhi) and Gorati Venkanna (Telugu).
• Books of short stories by writers Raj Rahi (Dogri), Kiran Gurav (Marathi), Khalid Hussain (Punjabi), Niranjan Hansda (Santali) and Ambai (Tamil) were among those chosen for the awards.
• A biography by D.S. Nagabhushana in Kannada, an autobiography by George Onakkoor in Malayalam, a work of criticism by Wali Mohd.
• Aseer Kashtawari in Kashmiri and a book of epic poetry by Chhabilal Upadhyaya.
• For Hindi the Daya Prakash Sinha got the award for the  Play

Shortcut Trick

Relative Speed (Opposite direction) = 62 + 10 = 72 km/h

Convert to m/s: 72 × (5/18) = 20 m/s

Length of train = Relative Speed × Time = 20 × 12 = 240 m

∴ The correct answer is 240 m.

Alternate Method

Given:

Speed of train (S₁) = 62 km/h

Speed of man (S₂) = 10 km/h

Time taken (t) = 12 sec

Formula Used:

Relative Speed (Opposite Direction) = S₁ + S₂

Distance (Length of train) = Relative Speed × Time

Conversion: 1 km/h = 5/18 m/s

Calculations:

⇒ Relative Speed = 62 + 10 = 72 km/h

⇒ Relative Speed in m/s = 72 × (5/18)

⇒ Relative Speed = 4 × 5 = 20 m/s

⇒ Length of train = 20 × 12

⇒ Length of train = 240 m

∴ The correct answer is 240 m.

Additional Information

Relative Speed Concept

When two objects move in opposite directions, their relative speed is the sum of their speeds (u + v). When they move in the same direction, it is the difference (u − v).

Unit Conversion

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

Train Crossing a Man

When a train crosses a stationary or moving point object (like a man, pole, or tree), the distance covered is equal to the length of the train.

Given:

The divisor is 22.8 and the quotient is 8.5.

Remainder = 0

Concept used:

Dividend = Divisor × Quotient + Remainder

Calculation:

According to the question, the dividend

⇒ 22.8 × 8.5 + 0

⇒ 193.8

∴ The dividend is 193.8.

The logic followed here is:

Similarly,

Hence, ‘ORTX’ is the correct answer.

The correct answer is Integrated Services Digital Network.

Key Points

• ISDN is a set of communication standards for simultaneous digital transmission of voice, video, data, and other network services over the traditional circuits of the public switched telephone network.
• This results in potentially better voice or data quality than an analog phone can provide.
• It provides a packet-switched connection for data in increments of 64 kilobit/s.
• It provided a maximum of 128 kbit/s bandwidth in both upstream and downstream directions.
• A greater data rate was achieved through channel bonding.
• It can integrate speech and data on the same lines, which were not available in the classic telephone system.

Additional Information

• Advantages of ISDN:
• ISDN channels have a reliable connection.
• ISDN is used to facilitate the user with multiple digital channels.
• It has a faster data transfer rate.
• Disadvantages of ISDN:
• ISDN lines are costlier than the other telephone system.
• It requires specialized digital devices.
• It is less flexible.

Shortcut Trick

For divisibility by 72, the number must be divisible by 8 and 9.

Divisibility by 8: Check last three digits 78y ⇒ 784 is divisible by 8, so y = 4.

Divisibility by 9: Sum of digits (8+3+x+9+3+6+7+8+4) = 48 + x ⇒ x = 6 (since 54 is divisible by 9).

Value = 3(6) − 2(4) = 18 − 8 = 10.

∴ The correct answer is 10.

Alternate Method

Given: Number 83x93678y is divisible by 72.

Step 1: Check Divisibility by 8

⇒ Last three digits 78y must be divisible by 8.

⇒ 78y ÷ 8 ⇒ 8 × 9 = 72; Remainder = 6. To be divisible, 6y must be 64.

⇒ y = 4.

Step 2: Check Divisibility by 9

⇒ Sum of digits = 8 + 3 + x + 9 + 3 + 6 + 7 + 8 + 4 = 48 + x.

⇒ For divisibility by 9, the nearest multiple of 9 after 48 is 54.

⇒ 48 + x = 54 ⇒ x = 6.

Step 3: Calculate (3x − 2y)

⇒ 3 × 6 − 2 × 4

⇒ 18 − 8 = 10.

∴ The correct answer is 10.

Additional Information

Divisibility Rule of 8

A number is divisible by 8 if its last three digits are divisible by 8 or if they are 000.

Divisibility Rule of 9

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

Composite Divisibility

If a number is divisible by two co-prime numbers a and b, then it is also divisible by their product (a × b).

The correct answer is Myanmar.

Key Points

• The Rohingya people are an ethnic group originating from Myanmar.​
• Myanmar is a majority-Buddhist state, but the Rohingya people are primarily Muslim, though a small number are Hindus too.
• They live mostly in Rakhine State on Myanmar’s western coast.
• The Rohingya people are considered “the most persecuted minority in the world” by the United Nations.
• The story of that persecution has its roots in Britain’s colonization of Burma, and modern-day Myanmar’s refusal to recognize the existence of people who have existed for thousands of years.
• As non-citizens, Rohingya people lack basic rights within Myanmar and are considered stateless.
• Myanmar recognizes 135 distinct ethnic groups, the Rohingya are not one of them.
• Today, the Rohingya are considered illegal immigrants by Myanmar and are not recognized under the law.
• Rohingya people cannot access social services or education, and their movement outside of Rakhine State is closely restricted.
• The UN has accused Myanmar of ethnic cleansing.

Additional Information

• The United Nations (UN)
• It was founded in 1945.
• Members- 193
• The Charter of the United Nations is the founding document of the United Nations.
• It was signed on 26 June 1945, in San Francisco, US.
• Purposes of UN:
• To maintain international peace and security,
• To develop friendly relations among nations,
• To achieve international co-operation in solving international problems,
• To be a center for harmonizing the actions of nations in the attainment of these common ends.
• Secretary-General- António Guterres
• Secreteriat- New York City, USA

The correct answer is Meghalaya.

Key Points

• Known as the '100 Drum Festival', the Wangala Festival is a traditional festival in the northeastern Indian state of Meghalaya.
• The festival kicked off on November 12th, 2021.
• The festival lasts from two days to a week.
• It is one of the most important festivals of the Garo Tribe.
• The tribesmen make sacrifices to please their god Saljong. ​

Additional Information

• The Wangala festival marks the end of a period of toil, that brings good results to the fields which also signifies the onset of winter.
• It is also celebrated in honour of the Sun God that marks the end of the long harvest season.
• Wangala is celebrated with different forms of dance.
• These dances are performed on the tunes of folk songs that are played on drums and primitive flute.
• Additionally, these flutes are made of buffalo horns.
• On the first day of the festival, people celebrate it with a ceremony called Ragula.
• This ceremony is performed in the house of the village’s chief.
• Then on the second day of celebration, which is called Kakkat, people begin the ceremony by dancing to the rhythms of long oval-shaped drums.
• In this celebration, young and old join together while men play the drums and women perform traditional dance forms. The dance form is known as Dama Dagota.​

Important Points

• ​Meghalaya:
• Lok Sabha seats - 2.
• Rajya Sabha seats - 1.
• State Animal - Clouded leopard.
• State Bird - Common hill myna.
• National Parks - Balphakram National Park, Nokrek Ridge National Park.

The correct answer is Sutta Pitaka.

Key Points

• Therigatha is classified as part of the Khuddaka Nikaya, the collection of short books in the Sutta Pitaka.
• Therigatha is the "earliest extant text depicting women's spiritual experiences." in Theravada Buddhism.
• The Therigatha is a collection of 73 poems written by Buddhist nuns over a period of 300 years.
• It is a collection of short poems in Pali attributed to members of the early **Buddhist sangha.**​
• Sutta Pitaka
• ​The Sutta Pitaka contains the Buddha's teachings recorded mainly as sermons delivered in historical settings.
• It includes the Dhammapada.
• The Dhammapada means 'the path or verses of truth' and is the best known of all the Buddhist scriptures in the West.

Additional Information

• Vinaya Pitaka
• ​The Vinaya-Pitaka, or "basket of discipline," is the first of three parts of the Tipitaka, a collection of the earliest Buddhist texts.
• The Vinaya Pitaka records the Buddha's rules of discipline for monks and nuns.
• It also contains stories about the first Buddhist monks and nuns and how they lived.
• Mahavamsa
• Mahavaṃsa is a historical chronology of Ceylon (modern Sri Lanka), written in the 5th or 6th century.
• It deals more with the history of Buddhism and with dynastic succession in Ceylon.
• ​The text was written in Pali, the sacred language of Buddhism.
• Dipavamsa
• ​The meaning of Dipavamsa is “Chronicle of Island”.
• It is the oldest historical record of Sri Lanka.
• It is believed to have been compiled around the 3rd or 4th century BC somewhere in Anuradhapura in Sri Lanka.
• It is written during the reign of King Dhatusena of Sri Lanka, the first Mauryan King of Sri Lanka.

The correct answer is 12.

Key Points

• The main contribution of members is to provide support towards arts, literature, sciences, and social services.
• The Rajya Sabha should consist of a maximum of 250 members.
• Out of a total of 250 members, 238 members are representing the States and Union Territories and 12 members are nominated by the President.

Additional Information

• Rajya Sabha is a permanent body that cannot be dissolved.
• However, one-third of its members retire every second year and are replaced by newly elected members for the next six years.
• The Vice-President of India is the Chairman of the Rajya Sabha.​
• In Rajya Sabha, twelve members are nominated by the President of India for a period of six years.

In a group of 5 friends, J, K, L, M and N, all scored different marks.

1. J scored higher marks than L and N, but less marks than K and M.

K, M > J > L, N

2. K scored more marks than M.

K > M > J > L, N

3. L did not score the least marks.

K > M > J > L > N

Clearly, N scored the least marks.

Hence, ‘N’ is the correct answer.

Shortcut Trick

Total interest percentage = Rate × Time = 5% × 2 = 10%.

Total Amount percentage = 100% (Principal) + 10% (Interest) = 110%.

As per the question, 110% corresponds to ₹16,500.

Therefore, 100% (Principal) = (16,500 ÷ 110) × 100 = 150 × 100 = ₹15,000.

∴ The correct answer is ₹15,000.

Alternate Method

Given: Amount (A) = ₹16,500, Rate (R) = 5% p. a., Time (T) = 2 years.

Formula Used: A = P(1 + (R × T) ÷ 100)

⇒ 16,500 = P × (1 + (5 × 2) ÷ 100)

⇒ 16,500 = P × (1 + 10 ÷ 100)

⇒ 16,500 = P × (1 + 0.1)

⇒ 16,500 = 1.1P

⇒ P = 16,500 ÷ 1.1

⇒ P = 15,000

∴ The correct answer is ₹15,000.

Additional Information

Simple Interest (SI) formula

Simple Interest is calculated only on the initial Principal: SI = (P × R × T) ÷ 100.

Principal from Amount

To find the original sum when Amount is known: P = (100 × A) ÷ (100 + RT).

Compound Interest (CI)

Unlike SI, Compound Interest is calculated on the principal plus any accumulated interest from previous periods: A = P(1 + R/100)^T.

The correct answer is China.

Key Points

• In a separate reply, Commerce and Industry Minister Piyush Goyal said that imports from China have increased from USD 60.41 billion in 2014-15 to USD 65.21 billion in 2020-21, exhibiting a marginal increase of 7.94 per cent over FY15.
• Despite India’s efforts to reduce dependence on Chinese Imports amid an increased policy emphasis on self-reliance and the continuing tension along the border, the country’s bilateral trade with China has grown 44 per cent in 2021, according to Chinese government data for the full calendar year. Imports grew over a record 46 per cent while exports were up 35 per cent.

Additional Information

• President of China is Xi Jinping.
• Capital of China is Beijing.
• currency of china is Renminbi.

Given:

A family's monthly income is ₹45,000. 

Out of the monthly income, 20% is spent on food, 20% is spent on the house rent, 5% is spent on shopping, 10% is spent on personal expenses and the rest is saved.

They decided to donate 12% of the monthly savings to the poor.

Calculation:

Let the total income be 100%.

Total percentage of the total expenditure

⇒ (20 + 20 + 5 + 10)%

⇒ 55%

Hence, the saving percentage = (100 - 55) = 45%

Thus, the donation percentage = 45 × 12% = 5.4%

Now, the amount that they donate to the poor

⇒ 45000 × 5.4%

⇒ ₹2430

∴ The amount that they donate to the poor is ₹2430.

The logic followed here is:

Hence, ‘48T17’ is the correct answer.

The correct answer is 1,2 and 3.

Key Points

• Clause (2) of Article 124: 
• The Chief Justice of India and the Judges of the Supreme Court are appointed by the President.
• Art. 124(7) provides:
• "No person who has held office as a Judge of the Supreme Court shall plead or act in any court or before any authority within the territory of India."
• Article 125(1):​
• ​There shall be paid to the Judges of the Supreme Court such salaries as may be determined by Parliament by law and, until provision in that behalf is so made, such salaries as are specified in the Second Schedule.
• ​Hence, Statements **1,2, and 3 are true.**​

Additional Information

• Facts about Judges of the Supreme court of India
• ​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.
• Supreme Court Judges retire upon attaining the age of 65 years.
• The chief justice is responsible for the allocation of cases and the appointment of constitutional benches.
• Justice Y. V. Chandrachud is the longest-serving Chief Justice in India, who served 2696 days.
• The current and 50thth chief justice of India is Justice D.Y. Chandrachud.

The correct answer is Rashid Khan.

Key Points

• Afghanistan's leg-spinner Rashid Khan picked up his 400th wicket in competitive T20 cricket during the team's T20 World Cup match against New Zealand on 7 Nov'21.
• He achieved the feat in his 289th T20 match.
• He also holds the record for most T20 scalps in a calendar year, having picked a staggering 96 wickets in 2018.
• Only three other bowlers have crossed the 400-wicket mark in T20 cricket.

Additional Information

• Dwayne Bravo, the first to achieve 400 wickets, also became the first bowler to cross 500 T20 wickets.
• Two other bowlers that followed him to the feat are Imran Tahir (in 320 matches) and Sunil Narine (in 362 matches), both reaching the milestone earlier in 2021.
• Rashid is only the fourth man, after Tim Southee, Shakib Al Hasan and Lasith Malinga, to achieve the milestone of 100 wickets in T20Is.

Important Points

• Afghanistan: (as of July 2022)
• Capital: Kabul.
• Currency: Afghan afghani

The correct answer is HBCSE, TIFR Mumbai.

Key Points

• The Homi Bhabha Centre for Science Education (HSCSE) at the Tata Institute of Fundamental Research (TIFR), Mumbai, has launched a new online popular talk series called STEAMboat on Children's Day on Sunday, November 14,2021.
• The program consists of exciting talks, animated videos, and much more in multiple languages, exploring Science, Technology, Engineering, Arts, Mathematics, and their intersections.
• The initiative aims to use new media technologies and the internet to widen and consolidate the outreach endeavor in the digital space.
• Engaging sessions on STEAM and related topics in Indian regional languages as well as English.
• For starters, a STEAMboat session will be released every second Sunday of the month.
• These sessions may be live or pre-recorded and will cover a range of topics from all disciplines which are of general interest to people.
• The **sessions will be available on HBCSE’s YouTube channel.**​

Additional Information

• Tata Institute of Fundamental Research (TIFR), Mumbai
• ​TIFR is a National Centre of the Government of India, under the Department of Atomic Energy, as well as a deemed University awarding degrees for master's and doctoral programs.
• The Institute was founded in 1945 with support from the Sir Dorabji Tata Trust under the vision of Dr. Homi Bhabha.
• TIFR, carry out basic research in physics, chemistry, biology, mathematics, computer science ,and science education.
• The main campus is located in Mumbai, with centers at Pune, Bengaluru, and Hyderabad.

Shortcut Trick

Difference in length = 1000 m − 750 m = 250 m

Difference in time = 60 s − 50 s = 10 s

Speed = 250 ÷ 10 = 25 m/s

Speed in km/h = 25 × 18 ÷ 5 = 90 km/h

∴ The correct answer is 90 km/h.

Alternate Method

Given:

Bridge length = 1 km = 1000 m, Time taken = 1 min = 60 s

Tunnel length = 750 m, Time taken = 50 s

Formula Used:

Distance = Speed × Time

When a train crosses an object with length (bridge/tunnel), Total Distance = Train Length + Object Length

Calculations:

Let the length of the train be L.

⇒ Speed = (L + 1000) ÷ 60 --- (Equation 1)

⇒ Speed = (L + 750) ÷ 50 --- (Equation 2)

⇒ (L + 1000) ÷ 60 = (L + 750) ÷ 50

⇒ 5 × (L + 1000) = 6 × (L + 750)

⇒ 5L + 5000 = 6L + 4500

⇒ L = 500 m

⇒ Speed = (500 + 1000) ÷ 60 = 1500 ÷ 60 = 25 m/s

⇒ Speed in km/h = 25 × 18 ÷ 5

⇒ Speed = 5 × 18 = 90 km/h

∴ The correct answer is 90 km/h.

Additional Information

Speed Conversion

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

Train Crossing a Pole or Stationary Point

When a train crosses a pole or a person, the distance covered is equal to the length of the train (L).

Relative Speed (Same Direction)

When two objects move in the same direction with speeds u and v, the relative speed is |u − v|.

Relative Speed (Opposite Direction)

When two objects move in opposite directions with speeds u and v, the relative speed is (u + v).

13th June 2005 → Friday

13th June 2005 + 17 days = 30^th June 2005

Number of days from 1^st July 2005 to 5th July 2005 = 5

⇒ 17 + 5 = 22

• 13th June 2005 + 22 days =  5th July 2005

22 when divided by 7 leaves 1 as remainder.

3th June 2005 + 1 odd day =  5th July 2005

⇒ Friday + 1 odd = Saturday

So, it was Saturday on 5th July 2005.

Hence, ‘Saturday’ is the correct answer.

Given equation: 200 + 10 - 25 × 60 ÷ 20 = X

After replacing the symbols by their meaning, we get:

L.H.S. = 200 ÷ 10 × 25 + 60 - 20

= 20 × 25 + 40

= 500 + 40

= 540 = X

Hence, ‘540’ is the correct answer.

The correct answer is Bhutan.

Key Points

• India and Bhutan today inked an MoU for developing cooperation between two countries in the area of environment.
• The MoU was signed virtually by Minister of Environment, Forest and Climate Change Prakash Javadekar from the Indian side and Minister of Foreign Affairs and Chairperson of the National Environment Commission Lyonpo Dr. Tandi Dorji from the Bhutanese side.
• This MoU strengthen scientific, technological, and management capabilities.

Additional Information

• Prime Minister of Bhutan is Lotay Tshering.
• Capital of Bhutan is Thimpu.
• Currency of Bhutan is ngultrum.

The correct answer is Si.

Key Points

• The element used in making solar cells is silicon.
• Solar cells contain a p-n junction diode which is usually made of Si and GaAs.
• The device used to convert solar energy into electrical energy is known as solar cells.
• It is based on photovoltaic effects.
• The photoelectric effect is defined as the generation of voltage due to the bombardment of light photons.
• Pure silicon which is crystalline in nature is a poor conductor of electricity as it is a semiconductor material at its core.

Important Points

• Working Principle of Solar cells.
• Works on the principle of photovoltaic effect.
• When light falls on the solar panel, the light photons reach the silicon junction.
• They excite electrons from the valence band to the conduction band, leaving behind an equal number of holes in the valence band.
• These electron –holes pairs generated in the depletion region move in opposite directions due to the barrier field.
• Photo-generated electrons move towards the n side and holes towards the p side.
• The collection of these charge carriers makes the p-side a positive electrode and the n side a negative electrode.
• Hence a **photovoltage is set up across the junction.**​​

Additional Information

• Advantages of solar cells are:
• Pollution free.
• Long-lasting.
• Maintenance free.
• Can be used anywhere as a self-generating source of electricity.
• Disadvantages:
• High cost of installation.
• Low efficiency.

Prashant, Kamal, Rishi, Sunita, Tanvi, Vimal, Wazir and Yogita are sitting at a square table in such a way that four of them are sitting at four corners of the table, while the other four are sitting in the middle of each of four sides of the table.

The four who are sitting at the corners of the table are facing the centre, whereas those who are sitting in the middle of the sides of the table are facing outside.

1. Prashant, who is facing the centre, is sitting third to the right of Vimal.
2. Tanvi, who is facing the centre, is not an immediate neighbour of Vimal.

Clearly, Tanvi is sitting second to the left of Prashant as she is facing the centre and the only vacant possible position for Tanvi is second to the left of Prashant.

3. Only one person is sitting between Vimal and Wazir. 4. Rishi is not an immediate neighbour of Prashant. ​

4. Sunita sits second to the right of Kamal.

5. Kamal is facing the centre.

Case I is eliminated as there is no vacant position left for Rishi to occupy.

Rishi is sitting between Tanvi and Sunita.

Yogita is sitting between Prashant and Tanvi.

The final arrangement will be as shown below:

1. Kamal is an immediate neighbour of Yogita. → False (Prashant and Tanvi are immediate neighbours of Yogita)
2. Kamal is an immediate neighbour of Vimal. → True
3. Kamal is sitting to the immediate right of Tanvi. → False (Kamal is sitting diagonally opposite to Tanvi)
4. Kamal is an immediate neighbour of both Tanvi and Sunita. → False (Kamal is sitting diagonally opposite to Tanvi)

Hence, 'Kamal is an immediate neighbour of Vimal' is the correct answer.

The correct answer is Avanti.

Key Points Avanti was an ancient Indian Mahajanapada (great region), which at present belonged to the Malwa region.

According to the Buddhist text, Anguttara Nikaya, Avanti was one of the Solasa Mahajanapadas (sixteen great regions) of the 6th century BCE.

The district was divided into two parts by the Vindhyas, the capital of the northern part was in Ujjayini and the southern part was the Mahishmati center.

Additional Information

The logic followed here is:

And

Similarly,

Hence, ‘GQNTE’ is the correct answer.

Ajit was born on Monday, 24 March 1980.

24 March 1980 → Monday

An ordinary year has 1 odd day and a leap year has 2 odd days.

24 March 1980 + 41 years = 24 March 2021

• In 41 years, there are 10 leap years and 31 non-leap years.
• No. of odd days in 41 years = 10 × 2 + 31 × 1 = 20 + 31 = 51

51 when divided by 7, leaves 2 as remainder.

⇒ 24 March 1980 + 2 odd days = 24 March 2021

⇒ Monday + 2 = Wednesday

So, it will be Wednesday on 24 March 1980.

Hence, ‘Wednesday’ is the correct answer.

Given:

Five years ago, the average age of A, B, and C was 17 years.

Seven years ago, the average age of A and B was 17$\frac{1}{2}$ years i.e. 17.5 years.

Calculation:

Let A, B, and C be P, Q, and R years old. (Presently)

According to the question,

(P - 7) + (Q - 7) = 17.5 × 2

⇒ P + Q = 35 + 14

⇒ P + Q = 49      ....(1)

(P - 5) + (Q - 5) + (R - 5) = 17 × 3

⇒ P + Q + R = 51 + 15

⇒ P + Q + R = 66

⇒ 49 + R = 66

⇒ R = 66 - 49

⇒ R = 17

Hence, C's age after 2 years from now

⇒ R + 2

⇒ 17 + 2 = 19

∴ The age of C after 2 years will be 19 years.

The correct answer is Europe.

Key Points

• The Iberian Peninsula is a peninsula in southwestern Europe, occupied by Spain and Portugal.
• The Iberian Peninsula is located on Europe's southwestern tip.
• It is part of the southern Europe peninsula, which comprises three peninsulas; Iberian, Balkan, and Italian peninsulas.
• The Iberian is the westernmost peninsula of the three peninsulas.
• The largest country which is part of the Iberian Peninsula in Spain, which makes up about 79% of the peninsula.
• The other countries part of this region is **Portugal, France, Andorra, and Gibraltar.**​

Important Points

• Peninsula
• landform surrounded by water on most of its border (three sides) while being connected to a mainland from which it extends.
• Arabian Peninsula or Arabia is the largest peninsula in the world which occupies an area of 3.2 million square Km.

Additional Information

• List of Peninsulas of the World:

The logic followed here is:

• if a letter appears twice in a word, at the second occurrence, it is coded with its reverse alphabetical position → So, 'S', the last letter is coded as 8 as the reverse alphabetical position of S is 8.
• if a vowel appears between two consonants, its corresponding number gets doubled → So, A is coded as 2 as the corresponding number of A is 1.
• The remaining letters are coded as per their alphabetical order; so G is coded as 7, L is coded as 12 and S is coded as 19.

Hence, ‘7122198’ is the correct answer.