If we look closely, figure is hidden in option figure 1 as shown below.

Hence, answer should be “Option 1”.

Pattern followed here is,

Taking 1^st column,

4² + 5² => 16 + 25 = 41;

Similarly for 2^nd column,

6² + 3² => 36 + 9 = 45;

For 3^rd column,

7² + x² = 58,

x² = 58 – 49,

x² = 9,

x = Either +3 or -3,

Here all the terms and the given options are positive integers.

Hence, “3” is the correct answer.

Hence, the above figure will be the final figure.

These organs are to be arranged on the basis of position of organs in the body from top to bottom.

So, correct arrangement will be Brain > Thyroid gland > Heart > Liver > Kidney.

Hence, the correct order will be 3, 4, 2, 5, and 1.

Statement I: All squirrels are lizards.

Statement II: All lizards are goose.

Conclusion:

I: Some squirrels are not goose → False.

II: Some lizards are squirrels → True.

III: Some goose are squirrels → True.

Hence, “Conclusion II and III” follows.

The image I flipped horizontally

Hence, “Option 3” is the correct answer

The pattern follow here is,

120 + 8 = 128;

128 + 16 = 144;

144 + 24 = 168;

168 + 32 = 200;

200 + 40 = 240;

Hence, “200” is a term which will complete the series.

Logic follow here is,

In case of 16 : 240,

16 : ((16)² – 16) → 16 : (256 – 16)

= 16 : 240;

Similarly,

6 : ((6)² – 6) → 6 : (36 – 6)

= 6 : 30

Hence, “30” is the correct answer.

The pattern follow here is,

Taking 1^st column,

√9 + 6 => 3 + 6 = 9;

Similarly for 2^nd column,

√25 + 11 => 5 + 11 = 16;

For 3^rd column,

√49 + 13 => 7 + 13 = 20;

Hence, “20” is the correct answer.

Hence, “ORV” is the correct answer.

Given Equation: 27 ÷ 3 – 18 + 3 × 2 = 18

Let’s check each option,

1. Interchanging ÷ and ×

Equation will become: - 27 × 3 – 18 + 3 ÷ 2

81 – 18 + 1.5 ≠ 18

2. Interchanging × and +

Equation will become: - 27 ÷ 3 – 18 × 3 + 2

9 – 54 + 2 ≠ 18

3. Interchanging + and –

Equation will become: - 27 ÷ 3 + 18 - 3 × 2

8 + 18 – 6 ≠ 18

4. Interchanging + and ÷

Equation will become: - 27 + 3 – 18 ÷ 3 × 2

27 + 3 – 6 × 2

30 – 12 = 18

Thus, interchanging “+ and ÷” we get the correct answer.

The symbol # appears in 2 dice position i.e. 1^st and 2^nd from which it is evident that $, &, + and * are adjacent to it and cannot be opposite to #. From this we can conclude that # will face opposite to %.

Similarly, + appears in 2 dice positions i.e. 2^nd and 3^rd from which it is evident that #, *, &, % are adjacent to it and cannot be opposite to +. So, + will face opposite to $.

From the above conclusions we can conclude that * and & will face each other.

Hence, “&” is the correct answer.

Pattern follow here is,

Similarly for word NOSTALGIA,

Hence, NOSTALGIA can be coded as “ONTSBGLAI”.

According to given coding language,

Similarly for FUNCTION,

Hence, “FUNCTION” can be coded as “6211432091514”.

Circle represents ‘Ladies’, Triangle represents ‘Constables’ and Square represents ‘Married persons’.

Number of lady constable not married i.e. number which represent the intersection of Circle and Triangle but not Square, which is number “12”.

Hence, “12” is the correct answer.

The logic followed here is:

Step I: The symbol 'Dotted Circle' are moving positions in increasing order consecutively i.e. in +, +2, +3 and +4.

Step II: The symbol 'Plus' are moving positions in increasing order consecutively i.e. in +, +2, +3 and +4.

So, the complete series of image will be:

Hence, the correct answer is "Option 2".

Checking each option,

1. PUYBD →

2. JOSVX →

3. TYBEG →

4. EJNQS →

Hence, “TYBEG” is the odd one among the following options.

Hence, “30” is the correct answer.

The pattern follow here is,

14 : (14)² => 14 : 196,

12 : (12)² => 12 : 144,

4 : (4)² => 4 : 16,

2 : (2)² => 2 : 4,

Hence, “12 : 244” is the odd one out from the given option.

Insulin is a hormone. Similarly, Pepsin is an enzyme.

Hence, Enzymes is the correct answer.

The pattern follow here is,

Hence, “P” is the correct answer.

Integrity, Honesty and Truthfulness are positive qualities in the personality of a person whereas Hypocrisy is a negative quality in the personality of a person. Hence, Hypocrisy is the odd word out.

Let the age of Natasha be” x” and age of Krishna be “y”.

As per statement given in question:

x + y = 50     ...(i) and

Ten years ago:

Natasha = x -10 years old

Krishna = y -10 years old

→ y – 10 = 2(x – 10)

→ 2x –y = 20 – 10     ...(ii)

From both the equations (i) and (ii)

→ 2x + 2y = 100

→ 2x – y = 10

→ 3y = 90 → y = 30

And x = 20.

Hence, Krishna’s age is 30 years.

According to the question, P + R × T – Q ÷ S + U can be decoded as P is mother of R, R is sister of T, T is father of Q, Q is daughter of S, S is mother of U.

From the above arrangement, S is wife of T.

Hence, “Wife” is the correct answer.

Here, Walnut and Fig both are fruits of a tree. In the pair Raisin and Apricot, also both are fruits of a tree. In all other pairs first is type of second element of the pair or not related as in the given pair. Hence, Raisin and Apricot is the related pair.

• Bhawai  is performed with enormous skill this dance is an exciting pot balancing dance of the snake charmer tribe.
• It demonstrates the art of dancing and revolving even while balancing many articles and items on one's head.

The correct answer is Option 4 i.e. net demand and time liabilities 

Key Points

• The cash reserve ratio (CRR) is the mandatory deposit to be held by banks with the Reserve Bank of India.
• It is calculated daily on the basis of the bank’s net demand and time liabilities with the objective to ensure the liquidity and solvency of the banks.
• The current rate of CRR is 4.50% (As of December  2022).

• The bollywood film 'Kai Po Che' was based on Chetan Bhagat's novel 'The 3 Mistakes of My Life' released in 2013.
• It was directed by Abhishek Kapoor and Pubali Chaudhari, Supratik Sen, Abhishek Kapoor and Chetan Bhagat were the screenplay writers of the film.
• The film had received 6 nominations at the 59th Filmfare Awards and it won two awards, including Best Screenplay for Kapoor and Best Background Score for Hitesh Sonik.

• India's Leander Paes after winning his 43rd Davis Cup doubles rubber against China in April 2018 became the most successful player in the history of Davis Cup.
• Leander Paes teamed up with Rohan Bopanna broke the record of Italy's Nicola Pietrangeli with the most doubles wins in Davis Cup history.
• He is one of the most experienced tennis players in the world.
• He made his Davis Cup debut in 1990 and has since competed in 56 ties, amassing a total win-loss record in singles and doubles of 91-35.

The correct answer is Pakistan.

Key Points

• The Indus Water Treaty (IWT) is a water-distribution treaty between India and Pakistan which was signed on September 19, 1960.
• The treaty was signed by Prime Minister Jawaharlal Nehru and Pakistan’s President Ayub Khan.
• The treaty deals with river Indus and its five tributaries.

These are divided into two categories - 

Eastern Rivers:

• Sutlej
• Beas
• Ravi

Western Rivers:

• Jhelum
• Chenab
• Indus
  

According to the treaty, all the water of the eastern rivers shall be available for unrestricted use in India, and India must allow unrestricted flow of water from the western rivers to Pakistan.

• The 'Friendship Highway' also known as the China-Nepal Highway, connects the capital of Tibet, Lhasa with the Nepalese-Chinese border between Zhangmu and Kodari.
• The 800-kilometre long 'Friendship Highway' goes through the Himalayan mountains and along the Yarlung valley upto Shigatse, Tibet's second-largest city and formerly the home of the Panchen Lamas.

• The English Teacher is a 1945 novel written by R. K. Narayan. It is the third and final part in the 'Malgudi Days" series, preceded by Swami and Friends (1935) and The Bachelor of Arts (1937).
• This novel, dedicated to Narayan's wife Rajam is not only autobiographical but also poignant in its intensity of feeling.
• The story is a series of experiences in the life of Krishna, an English teacher, and his quest towards achieving inner peace and self - development.

• Huangguoshu National Park of China is located in west Guizhou province.
• It is 128 km from Guiyang and 45 km from Anshun, a tourist destination in West China.
• Huangguoshu is also the largest waterfalls in China and East Asia located on the Baishui River in Anshun in the same province.

• Pankaj Advani is the only Indian to have won the Amateur World title in both, snooker and billiards.
• He is the only snooker player to ever win professional world titles in both the long and short formats of snooker and both formats of English billiards.
• Pankaj Advani has also won country's most prestigious awards Padma Shri in 2009, Rajiv Gandhi Khel Ratna in 2006 and Arjuna Award in 2004.

• Indian king Rajendra Chola-I used naval powers to conquer parts of Eastasia.
• He defeated Sri Vijaya or the Kadaram kingdom in East Asia and bore the title Kadaramkonda.
• He belongs to the Imperial Chola Dynasty.
• His reign was from 1012-1044 A.D.
• He built a city called Gangaikonda Cholapuram to commemorate his victory in his northern India campaign which spanned up to Ganges River, where he defeated Bengal king Mahipala-I.
• Therefore, he assumed the title of 'Gangaikondachola' or the conqueror of the river Ganga.

• Night blindness results in loss of vision in the dark and is caused by the deficiency of Vitamin A.
• Nyctalopia (night blindness) is one of the first signs of Vitamin A deficiency.
• Xerophthalmia, Keratomalacia, and complete blindness can also occur since vitamin A has a major role in phototransduction.

• The National Assembly of Pakistan passed it's Constitution on 10th April, 1973.
• The President of the constituent Assembly authenticated it on 12th April 1973 and the Assembly published the Constitution of the Islamic Republic of Pakistan.
• After partitioned from India, Pakistan was declared as an Islamic Republic and it was made mandatory that only a Muslim could become the President of the country.

• Lothal is a port city in Gujarat, located on the banks of the Bhogava River, a right tributary of the Sabarmati River.
• It had the earliest known dock in the world, used mainly for trade purposes in the Indus Valley Civilization.
• Lothal is situated in the Ahmedabad District in modern Gujarat.
• It is considered a port town according to the Archaeological Survey of India.

• Afonso de Albuquerque succeeded Dom Francisco de Almeida as Governor of the Portuguese State of India on November 4, 1509.
• The Marshal of Portugal Dom Fernando Coutinho, sent by King Manuel had been ordered to enforce the orderly succession of Albuquerque to office.
• In 1510, the governor of Portuguese India Afonso de Albuquerque captured the city of Goa.

• Carpels, present in the centre of a flower, form the female reproductive part. It is surrounded by male reproductive structures called stamens.
• The carpels and stamens are surrounded by petals.
• The petals are protected by sepals, which are green.
• The carpels are the female reproductive part of the flower. It is divided into three parts namely- ovary, style and stigma.
• The ovary contains ovules and the style acts as a passage for the pollen tubes carrying the male gametes.
• The stigma is the terminal part of the carpel which is receptive and it receives the pollen grains and provides nutrition for the growth and development of the pollen tube which carries male gametes through style and reaches the ovules to fertilise an egg.

• Sun is the most hot glowing sphere of Plasma at the centre of the solar system.
• It is made of gases and most of it is hydrogen (about 70%) and helium (about 28%).
• While carbon, nitrogen and oxygen make up 1.5% and the other 0.5% is made up of other elements like neon, iron, silicon, magnesium and sulfur.
• It is one of most important sources of energy for life on earth.

• The former princely state of Tripura in the north-eastern part of India was ruled by Manikya dynasty.
• Ratna Fa was the 145th king of Twipra and he was the first to assume the title Manikya and as such can be considered the founder of the Manikya dynasty.
• The first king of Twipra is Chandra, the moon himself but the list of historical begins with Ratna Fa only.

• DNA - deoxyribonucleic acid is a form of a double helix carrying genetic instructions in humans and almost all other organisms.
• DNA is mostly located in the cell nucleus but it also found in mitochondria in a small amount.
• The DNA strands are composed of monomeric units called nucleotides which is composed of four nitrogen-containing nucleobases like cytosine, guanine, adenine, thymine are called deoxyribose.

• The Torah is part of the larger text known as the Tanakh or the Hebrew Bible.
• ‘The Torah’ is the central reference of Judaism. It has a range of meanings. It can most specifically mean the first five books of the 24 books of the Tanakh, and it usually includes the rabbinic commentaries.
• It is supplemental oral tradition represented by later texts such as the Midrash and the Talmud.
• With between 14.5 and 17.4 million adherents worldwide, Judaism is the tenth largest religion in the world.

• Ministry for Environment, Forest and Climate Change launched ';India Cooling Action Plan' (ICAP) on 8 March 2019.
• ICAP is a 20-year road map (2018 to 2038) to address the cooling requirements for all sectors such as buildings, cold chain, transport and refrigeration.
• It aims to reduce cooling demand across sectors by 20% to 25% and reduce refrigerant demand by 25% to 30% by 2037-38.

• ‘Survival of the fittest’ is a phrase that comes from the principle of natural selection which was given by Charles Darwin.
• The phrase was actually used first by Herbert Spencer after reading Darwin’s book ‘On the Origin of Species’.
• It originated from the Darwinian Evolutionary theory and reproductive success is the biological concept of it.
• In simpler terms, it means, that the form which will leave the most copies of itself in the successive generations will survive.

• Benchmark prime lending rate or ;prime rate is the interest rate that commercial banks charge their most creditworthy customers.
• Prime lending rate, is largely determined by the federal funds rate, which is the overnight rate that banks use to lend to one another.
• The prime rate is also important for individual borrowers, as the prime rate directly affects the lending rates available for a mortgage, small business loan or personal loan.
• Generally, the prime rate is reserved for only the most qualified customers, determined as those who pose the least amount of risk of default.
• RBI's REPO rate and CRR affect the benchmark prime lending rate.

• World Water Day is celebrated annually on 22nd March.
• The day aims to draw attention to the importance of universal access to clean water, sanitation and hygiene (WASH) facilities in developing countries.
• The day also focuses on advocating for the sustainable management of freshwater resources.
• Theme: "Leaving no one behind".
• This is an adaptation of the central promise of the 2030 Agenda for Sustainable Development: as sustainable development progresses, everyone must benefit.

• The highest lake in Pakistan is the Rush Lake located in Nagar Valley, Gilgit - Baltistan at an altitude of over 4,700 meters near the Rush Pari Peak.
• It is also the 25th highest lake is the world.
• The second highest lake in Pakistan is the Karambar Lake, which at an altitude of 4,272 meters, is the 31st highest lake in the world.
• It is also one of the highest alpine lakes in the world.

• The Constitution of India was amended for the first time on 10th May 1951.
• The Statement of Objects and Reasons appended to the Constitution (First Amendment) Bill, 1951 was enacted as the Constitution (First Amendment) Act, 1951.
• The first amendment added Article 15(4) and Article 19(6) and also brought changes in the right to property in pursuance after the decision of Supreme Court regarding Fundamental Right of the Citizens.

Radii of two circular faces of the frustum of a cone are 5 cm and 2 cm

Height of the circular frustum of cone H = 14 cm

As we know,

Volume of the frustum of cone = 1/3 × π [R² + r² + Rr] 14

⇒ 1/3 × 22/7 × [5² + 2² + 5 × 2] × 14

⇒ 22/3 × [25 + 4 + 10] × 2

⇒ 22/3 × 39 × 2

⇒ 572

Total number of students of college C = 320 + 540 + 350 = 1210

Number of students in science stream of college C = 540

Required percentage = [540/1210] × 100 = 44.66%= 45% (approx)

Total number of students studying science in collages A and B together = 620 + 680 = 1300

Total number of students studying commerce in colleges D and E together = 520 + 330 = 850

Required ratio = 1300 ∶ 850 = 26 ∶ 17

Without stoppage average speed = 80 km/h

With stoppages average speed = 72 km/h

As we know,

Time of rest per hour equal to the difference in average speed divided by the speed without stoppage.

Required time = [(80 – 72)/80] × 60 = 6

So, A train stops on an average 6 minute/hr

Given:

The price of sugar is increased by 21%. A person wants to increase his expenditure by 12%.

Calculation:

Let the initial price of sugar be 100x

Price of sugar after increased = 100x × [121 / 100] = 121x

Person wants his expenditure increase by 12% only,

So, his expenditure should be = 100x × [112 / 100] = 112x

Required percentage = [(121x – 112x) / 121x] × 100 = 7.43% ≈ 7.4%

Alternate MethodNOTE - This is a short trick method to solve these type of questions.

Expenditure = Price × Consumption

112/100 = 121/100 × y

y = 112/121 

Therefore, the reduction in consumption = 121 - 112 = 9

Therefore, Percentage reduction = 9/121 × 100 = 7.43% ≈ 7.4%

Given, ∠BAC = 24°

⇒ ∠ACB = 90° [Angle in a semicircle is 90]

In ΔACB

⇒ ∠ACB + ∠CBA + ∠BAC = 180°

⇒ ∠CBA = 180° – 90° – 24° = 66°

⇒ ∠BDC = ∠CAB = 24° [Alternate interior angle]

⇒ ∠DCA = ∠ABD = 24° and ∠CAD = ∠DBC

∵ Two inscribed angles forming the same arc or forming two equal arcs are equal.

⇒ ∠CBA = ∠DBC + ∠ABD

⇒ 66° = ∠DBC + 24°

⇒ ∠DBC = 66° – 24° = 42°

⇒ ∠CAD = ∠DBC = 42°

Number of students of the commerce stream in all colleges = 480 + 520 + 350 + 520 + 330 = 2200

Number of students of college D in commerce stream = 520

2200 students represents = 360°

520 students will represent = [360°/2200] × 520 = 85° (approx)

As we know,

Difference between the compound interest and simple interest for 2 years formula,

Given, r = 12%, time = 2 years and P = x

⇒ Pr²/(100)² = difference

⇒ (P × 12 × 12)/100 × 100 = 18

⇒ P = 1250

Given, BP ∶ PC = 1 ∶ 2 or BP ∶ PC = 2 ∶ 4

Let PB be 2 units and PC be 4 units

BC = BP + PC = 2 + 4 = 6 unit

If Q is the midpoint of BP, then BQ = QP

BQ = BP/2 = 2/2 = 1 unit

arΔABQ ∶ arΔABC = BQ ∶ BC

arΔABQ ∶ arΔABC = 1 ∶ 6

sin² 48° + sin² 42° – sec² 30° + tan² 60°

⇒ sin²48° + cos²(90° – 42°) – (2/√3)² + (√3)²

⇒ sin²48° + cos²48° –4/3 + 3 [sin(90 – θ) = cos θ and sin² θ + cos² θ = 1]

⇒ 1 –4/3 + 3

⇒ 4 – 4/3

⇒ 8/3

Let the efficiency of B be 100.

Efficiency of A will be = 100 × [150/100] = 150

Efficiency of C will be = 100 × [60/100] = 60

Efficiency ratio of A, B and C = 150 ∶ 100 ∶ 60 = 15 ∶ 10 ∶ 6

Total work = (15 + 10 + 6) × 10 = 310

150% of total work = 310 × [150/100] = 465

150% of total work A will complete in = 465/15 = 31 days

Given:

AB = 8 cm

BC = 12 cm

AC = 6 cm

ar(ΔABC)/ar(ΔPQR) = 16/25

Concept used:

In similar triangles, the ratio of their areas is the square of the ratio of their sides.

Calculation:

According to the question,

Let QR = x (since QR corresponds to AC in ΔABC)

(ar(ΔABC)/ar(ΔPQR)) = (AC/QR)²

⇒ (16/25) = (6/x)²

⇒ 4/5 = 6/x

⇒ x = 30/4 = 7.5 cm

 RQ = 7.5 cm

∴ RQ is equal to 7.5 cm.

sec θ = hypotenuse/Base = 13/5

Using Pythagoras theorem

(Hypotenuse)² = (Base)² + (Perpendicular)²

13² = (Perpendicular)² + 5²

Perpendicular = √(169 – 25) = 12

tan θ – sin θ + cos θ

12/5 – 12/13 + 5/13                [sin θ = P/H, cos θ = B/H and tan θ = P/H]

⇒ (156 – 60 + 25)/65

⇒ 121/65

⇒ sin 5θ = cos(50° – 3θ),

⇒ sin 5θ = sin[90° – (50° – 3θ)] [cos(90 – θ) = sin θ]

⇒ 5θ = 90° – 50° + 3θ

⇒ 2θ = 40°

⇒ θ = 20°

Given, AB = 6 cm, PB = 5 cm, PD = 5 cm

Let the length of CD be x, PA = (5 + 6) = 11 and PC = (5 + x)

As we know,

PB × PA = PD × PC

⇒ 5 × 11 = 5 × (5 + x)

⇒ (5 + x) = 11

⇒ x = 11 – 5 = 6 cm

SP of each article = Rs. 2508

CP of first article = 2508 × [100/114] = 2,200

CP of second article = 2508 × [100/88] = 2,850

Total SP of both article = 2508 × 2 = 5,016

Total CP of both article = 2,200 + 2,850 = 5,050

Total loss = 5,050 – 5,016 = 34

Loss percentage = [34/5,050] × 100 = 0.673% = 0.7% (approx)

As we know,

⇒ (x + 1/x)² = x² + 1/x² + 2

Given, √x + 1/√x = √7

⇒ (√x + 1/√x)² = (√x)² + (1/√x)² + 2

⇒ √7² = x + 1/x + 2

⇒ x + 1/x = 7 – 2 = 5

As we know,

⇒ (x + 1/x)³ = x³ + 1/x³ + 3(x + 1/x)

⇒ 5³ = x³ + 1/x³ + 3 × 5

⇒ x³ + 1/x³ = 125 – 15 = 110

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

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

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

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

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

⇒ 5.8 + (7.4 ÷ 3.7 × 5) – 6 × 2 ÷ 2.5

⇒ 5.8 + (2 × 5) – 6 × 0.8

⇒ 5.8 + 10 – 4.8

⇒ 11

⇒ (a + b)³ = a³ + b³ + 3ab (a + b)

Given, a + b = 8 and ab = 32/3

⇒ 8³ = (a³ + b³) + 3 × 32/3 × 8

⇒ (a³ + b³) = 512 – 256 = 256

MP of the article Rs. x

According to the question

⇒ x × [75/100] × [85/100] = 535.50

⇒ x = 840

MP of the article = Rs. 840

Given:

a + b + c = 4 and ab + bc + ca = 2

Formula used:

a3 + b3 + c3 – 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)

(a + b + c)² = a2 + b2 + c2 + 2ab + 2bc + 2ca

Calculation:

⇒ a³ + b³ + c³ – 3abc = (a + b +c) [(a + b + c)² – 3(ab + bc + ca)]

⇒ 4 [4² – 3 × 2]

⇒ 4 (16 – 6)

⇒ 4 × 10

⇒ 40

Additional Informationa3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)

a2 + b2 + c2 = (a + b + c)2 - 2(ab + bc + ca)

⇒ (a + b + c){(a + b + c)2 - 2(ab + bc + ca) - (ab + bc + ca)}

⇒ a3 + b3 + c3 – 3abc = (a + b +c) [(a + b + c)2 – 3(ab + bc + ca)]

Total number of students in the arts stream = 580 + 460 + 320 + 470 + 370 = 2200

Required average = 2200/5 = 440

As we know,

Divisibility law of 11∶ If the difference of the alternating sum of digits of the number is a multiple of 11 (e.g. 2343 is divisible by 11 because 2 - 3 + 4 - 3 = 0, which is a multiple of 11).

⇒ 46393x8 divisible by 11 if x = 3

Or

⇒ 4 – 6 + 3 – 9 + 3 – x + 8 = 0

⇒ x = 18 – 15 = 3

Number of girls in class = 50 × 46/100 = 23

Number of boys in class = 50 – 23 = 27

Average marks of girls = 62

Sum of marks of girls = 62 × 23 = 1426

Average marks of boys = 58

Sum of marks of boys = 58 × 27 = 1566

Total sum of marks of all class = 1426 + 1566 = 2992

Average marks of whole class = 2992/50 = 59.84

⇒ a ∶ b = 5 ∶ 8            ----(1)

⇒ c ∶ b = 4 ∶ 3            ----(2)

Multiply by 3 in equation (1) and multiply by 8 in equation (2)

⇒ a ∶ b ∶ c = 15 ∶ 24 ∶ 32

Option 4 is the correct solution.

also is not required in the above sentence as only one thing is mentioned.

Option 2 is the correct solution.

manipulate is the correctly spelt word while the rest all are wrongly spelt.

'manipulate' means to handle or control (a tool, mechanism, information, etc.) in a skilful manner.

Here the correct answer is Thrifty.

Key Points:-

• Let's look at the meaning of the given word:-
• Extravagant*(adjective)* - lacking restraint in spending money or using resources.
• For Example - It was rather extravagant to buy both.
• Let's look at the meaning of the correct answer:-
• ​Thrifty*(adjective)* - using money and other resources carefully and not wastefully.
• For Example - He had been brought up to be thrifty and careful.

Thus, the correct antonym for the given word is Thrifty.

Mistake Points

• You may think that 'pauper' is an antonym of extravagant but the correct antonym of extravagant is Thrifty because it is not obvious that a poor man may be spending less money.
• Pauper means a poor man. It is a noun.

Option 3 is the correct solution.

The sentence is a positive sentence so option 2 and 1 are wrong. Option 4 does not form an appropriate formation. So, option 3 is the correct solution.

The correct answer is CBAD

Key Points

• The given sentence is an example of a Sentence Jumble.
• The first statement of a sentence jumbled question is usually an independent general statement, a noun, a universal fact, the starting of an incident, or it starts with 'most' or 'once'.
• Part C will be the first sentence because it an independent general statement. It establishes the theme for the passage.
• Part B will be the next in sequence. It has the pronoun 'it', referring back to 'friendship'.
• Part A will be the next in sequence. It mentions the first principle the friendship is governed.
• Part D is the conclusive statement, so should be kept at the last.

The sequence in which sentences are arranged is: Friendship is one of the most coveted relationships on earth. Like all relationships, it is also governed by some well-defined principles. The first of these states that the only way to have a friend is to be one. Thus, one must be reliable as a friend to expect reliability in others.

Option 3 is the correct solution.

at is used to show location or place.

Option 2 is the correct solution.

It was a gas so it will be leaked.

Option 2 is the correct solution.

speaks volume means to provide a lot of information about something. So, the sentence would be His success at such a young age gives enough proof for his talent.

Option 2 is the correct solution.

The order of the passive form is object+verb+subject. So, the passive form of the given sentence would be It is time for dinner to be served.

Option 1 is the correct solution.

Concise means brief but comprehensive. So, the synonym for Concise is brief.

Option 2 is the correct solution.

succumb means to fail to resist pressure. So, the sentence would be The accident victim succumbed to his injuries before he could be taken to the hospital.

Option 2  is the correct solution.

The correct order is BADC. B is an independent sentence so it should be first. A is the continuation of B because it's still speaking about mother tongue. C is the continuation of D.

Option 3 is the correct solution.

The order of the active form is subject+verb+object. Here, the verb used is believed which is the past participle of the verb believes. So, the active form of the sentence would be People still believe in superstitions

Option 2 is the correct solution.

He is more smarter is grammatically wrong because smarter is already in a comparative degree, and adding more would make it a double comparative

The correct answer is "Insatiable".

Key Points

• The word that means "that which cannot be satisfied" is "insatiable."
• Insatiable: This word refers to an intense or unquenchable desire or appetite that cannot be satisfied. It implies a constant craving or longing for more and is often used to describe someone who has an insatiable hunger or thirst for something, whether it be food, success, knowledge, or experiences.
• Example: Despite having a full meal, his insatiable appetite drove him to raid the fridge for more snacks.
• Now, let's look at the other options:
• Impossible: This word refers to something that cannot be done, achieved, or realized. It indicates that a particular action, event, or outcome is not possible or cannot happen.
• Example: It is impossible to fly without the assistance of an aircraft or wings.
• Incredible: This word means something that is hard to believe, astonishing, or extraordinary. It suggests that an event, situation, or fact is so remarkable or impressive that it is difficult to accept or comprehend.
• Example: The acrobat's incredible performance left the audience in awe.
• Improbable: This word refers to something that is unlikely or not probable. It suggests that an event or outcome has a low chance of happening or is not expected to occur.
• Example: It is highly improbable for a novice chess player to defeat a grandmaster.
• Out of the given options, the word that aligns with the meaning "that which cannot be satisfied" is "insatiable."
• Hence option 3 is correct.

Option 2 is the correct solution.

It should be was waiting for the because here was refers to the subject child which is singular.

Option 4 is the correct solution.

Superlative degree must be used in a negative sense because disaster is used. So, worst is the solution.

Option 3 is the correct solution.

Explanation: 

• Put the cart before the horse means to reverse the proper order or procedure of something
  

Example: Aren't you putting the cart before the horse by deciding what to wear for the wedding before you've even been invited to it?

The correct answer is "retrospection".

Key Points

• Retrospection means the action of looking back on or reviewing past events or situations.

Therefore, the correct answer is "option 4".

Additional Information

• Circumspection: Cautiousness in one's actions or decisions.
• Introspection: Examining one's own mental and emotional processes.
• Inspection: Close examination or scrutiny of something.

Option 3 is the correct solution.

vigilant means keeping a careful watch for possible danger or difficulties. So, the most appropriate antonym for vigilant would be careless.

The correct answer is 'Deadly.'

Key Points

• "Deadly" directly describes the nature and effect of the gas released during the Bhopal gas tragedy. It implies that the gas was fatal or capable of causing death, which aligns with the historical accounts of the disaster where thousands of people lost their lives due to exposure.
• "Abominable" refers to something that causes moral revulsion and is typically used to describe actions rather than the physical properties of substances. Therefore, it's less fitting in the context of describing a gas.
• "Merciless" personifies the gas, suggesting it showed no pity, but it doesn't accurately convey the fatal nature of the exposure in the same direct way that "deadly" does.
• "Incurable" is usually used to describe diseases or conditions that cannot be cured. While the effects of the gas might have led to incurable conditions, the term itself does not directly describe the nature of the gas as fatal.

Therefore, the correct answer is 'Option 2.'

The correct answer is "Praise". 

Key Points

• Exalt means to praise, glorify, or honor. (प्रशंसा करना)
• Example: The king decided to exalt the brave soldier for his heroic deeds.
• Praise means to express approval, admiration, or compliment. (प्रशंसा)
• Example: The teacher decided to praise the student for his excellent performance in the exam.
• Therefore, the correct answer is Option 4.

Additional Information

• Extract : To take out or remove. (निकालना)
• Challenge : To invite or dare someone to compete or prove something. (चुनौती देना)
• Condemn : To express strong disapproval or criticize severely. (निंदा करना)

Option 3 is the correct answer.

Key Points

• Here, tamper means to interfere with something. In the sentence given, it says about not to do something. So, tamper is the appropriate answer.

Additional Information

• Reckon: consider or regard in a specified way
• Trifle: treat without seriousness or respect
• Temper: a person's state of mind seen in terms of their being angry or calm

Option 2 is the correct solution.

argument is the correctly spelt word.

The correct answer is 'deferred'.

Key Points

• The term "deferred" means to delay or postpone. So, deferred is the most appropriate word to be used, as people died from its poison for a long time afterwards.
• The term momentary suggests something that happens quickly or lasts for only a short period.
• "Averted" means to prevent or avoid. It doesn't fit in this context because the sentence speaks to the consequences of the disaster, not the prevention of it.
• "Detained" is not appropriate in this context. It means to hold back or delay, primarily used in the context of keeping someone in custody or delaying actions. It does not relate to the nature of death as a consequence of the disaster.
• "Deferred" means postponed or delayed. But in this context, the writer is trying to explain the fact that deaths due to this disaster occurred both instantly and  after a long time as well. 
  

So, deferred is the most appropriate word to be used, as people died from its poison for a long time afterwards.

Therefore, the correct option is 'Option 4.'