SSC CGL 2016 · 2016-09-09 · Shift 1

The analogy is about the person responsible for overseeing the creation and production of a work. An editor is responsible for a magazine, similarly, a director is responsible for a drama. Both relationships show a professional overseeing a creative project. The other options are incorrect because they represent roles within a drama but not the overall creative authority.

The pattern is based on skipping a letter in the alphabet. In "ACEG," each letter is separated by one letter (B, D, F). The same pattern applies to "IKMO" (J, L, N). Following this pattern, "QSUW" should be followed by "X" and "Z," thus "YACE" is the only option maintaining this pattern. Y is skipped from Q then A is skipped from S and C is skipped from U and E is skipped from W . The pattern of skipping one letter is consistent throughout.

The pattern is based on multiplying the first number by 3 and then adding 3 to the result. Let's see how it works: For 12: (12 * 3) + 3 = 39 Applying the same pattern to 15: (15 * 3) + 3 = 48 Therefore, the related number is 48. This shows a consistent mathematical relationship between the pairs.

The odd one out is Battery. A torch, candle, and lamp all produce light through a process of combustion or electricity directly converting to light. A battery, however, is an energy storage device. It doesn't directly produce light; it provides electrical energy which can then power a device that produces light, such as a torch or lamp. Therefore, the battery differs fundamentally in its function from the other three options.

The pattern in the given options is that the alphabetical difference between the letters in each pair is consistent: C to A is -2, F to D is -2, K to I is -2. However, T to Q is -3. This inconsistency makes "TQ" the odd one out. Therefore, TQ is the odd pair because it doesn't follow the -2 alphabetical difference pattern.

The pattern in the other options is that the difference between the two numbers is 12 (73 - 61 = 12, 57 - 45 = 12, 47 - 35 = 12). However, in the option 42-29, the difference is 13 (42 - 29 = 13). Therefore, 42-29 is the odd one out because it doesn't follow the pattern of a 12 difference.

The dictionary order is determined by comparing words letter by letter from left to right. Comparing "Scarf", "Scene", "Shell", "Stream", and "Survey": Scarf, Scene, Shell, Stream, Survey - all start with 'S'. Next letter comparison: 'c' (Scarf)<'c' (Scene)<'h' (Shell)<'t' (Stream)<'u' (Survey) Therefore, the correct order is Scarf, Scene, Shell, Stream, Survey (1, 2, 3, 5, 4).

The series follows a pattern of reversing the order of three consecutive letters in the alphabet. The first term is DCB (C, B, A reversed). The second is HGF (G, F, E reversed). Following the pattern, the missing term should be the reverse of I, J, K, which is LKJ. The next term, PON, continues this pattern (O, N, M reversed).

The series consists of perfect squares: 22 = 4, 32 = 9, 42 = 16, 52 = 25, 62 = 36. Following the pattern, the next term is 72 = 49. Therefore, the missing term is 49. Each number in the sequence is the square of consecutive integers, starting from 2.

A is D's brother, meaning A and D are siblings. D is B's father, making B D's child. Since B and C are sisters, B and C are both D's children. Therefore, C is A's niece because she is the daughter of his sibling.

Let's arrange the girls based on the given information: We know R is to the left of O, and P is to the left of M and to the right of O. This gives us the order: R O P M. Additionally, N is to the left of R, completing the sequence: N R O P M. Since there are 5 girls, and we have N R O P M, O is in the middle. Therefore, O is sitting in the middle.

The word CONSULTATION contains the letters C, O, N, S, U, L, T, A, T, I, O, N. Let's check each option: CONSTANT: All letters are present in CONSULTATION. NATION: All letters are present in CONSULTATION. SALUTE: The letter 'E' is not present in CONSULTATION. STATION: All letters are present in CONSULTATION. Therefore, SALUTE cannot be formed using the letters of CONSULTATION.

The pattern is based on assigning numerical values to letters. Each letter is assigned a value based on its position in the alphabet (A=1, B=2, etc.). S = 19 (because S is the 19th letter). SUN = 19 + 21 + 14 = 54 CAKE = 3 + 1 + 11 + 5 = 20 Following this, MISTAKE = 13 + 9 + 19 + 20 + 1 + 11 + 5 = 78

Following the given symbols, the expression becomes: 128 × 9 + 16 ÷ 4 According to the order of operations (PEMDAS/BODMAS), we perform division before addition and multiplication from left to right. First, 16 ÷ 4 = 4. Then, the expression simplifies to 128 × 9 + 4. Next, 128 × 9 = 1152. Finally, 1152 + 4 = 1156. Therefore, the value of the expression is 1156.

The pattern is as follows: The equation is solved by concatenating the numbers involved. For example, in 6 x 2 x 9 = 269, the numbers 6, 2, and 9 are placed together to form 269. In 8 x 7 x 1 = 781, the numbers 8, 7, and 1 are concatenated to become 781. Following this pattern, 4 x 1 x 3 will result in 143.

The number pattern follows an increasing sequence. Hence, the correct answer is 3) 455.

Imagine Sudhir's journey on a map. He starts by going 5 km South. A left turn from South takes him West. After 10 km West, another left turn points him North. Finally, 5 km North places him in front of the school. To find his starting point relative to the school, trace his path backward. From the school, go South 5 km, then East 10 km. This places his starting point West of the school.

Let's analyze the statements using a Venn diagram. Statement 1: All books are novels means the 'books' circle is entirely inside the 'novels' circle. Statement 2: Some novels are poems means there's an overlap between the 'novels' and 'poems' circles. Conclusion I (Some books are poems) is not necessarily true; the overlap between novels and poems might not include any books. However, Conclusion II (Some poems are novels) is definitely true because the overlap confirms some poems are also novels.

The opposite face of the circle will have the symbol of a cocentric circle. Hence, the correct answer is 2)

Flies are a subset of insects. Dogs are completely separate from insects. The correct diagram shows Flies inside the Insects circle, and the Insects and Dogs circles are disjoint (not overlapping). This accurately represents the hierarchical and non-overlapping relationship between these three groups. Insects is the broadest category, containing Flies as a subcategory. Dogs belong to a completely different biological classification.

The second option will complete the pattern in the question figure, following the lines and arrangement. Hence, the correct answer is 2.

The second option contains the hidden figure, making it the correct choice. Hence, the correct answer is 2.

The first option correctly shows the result when the paper is unfolded. Hence, the correct answer is 1.

The third option shows the correct mirror image when the mirror is held on line AB. Hence, the correct answer is 3.

The correct representation of the word 'SENT' based on the given matrices is 2) 22, 32, 65, 78.

The Swarn Jayanti Gram Swarojgar Yojna (SGSY), a rural employment program, was restructured and renamed. National Rural Livelihoods Mission (NRLM) is the new name and structure. NRLM focuses on poverty reduction through women's empowerment and self-help groups. The restructuring aimed to improve the effectiveness and reach of the program. SGSY's goals of providing sustainable livelihoods are continued under the NRLM umbrella. The other options are different government schemes with unrelated goals.

Neeraj Chopra is a renowned Indian athlete. He specializes in javelin throw and is famous for winning a gold medal at the Tokyo 2020 Olympics. His achievements have made him a global icon in the world of athletics. The other sports listed are popular in India, but Neeraj Chopra's fame is primarily associated with javelin throwing.

Coal, petroleum, and natural gas are all fossil fuels, extracted and processed for commercial use. They are bought and sold on energy markets. Firewood, on the other hand, is typically gathered or harvested for personal use or small-scale, non-commercial applications. While it can be a source of energy, it's not generally considered a commercial energy source in the same way as the others.

The UEFA Euro 2016 final was contested between Portugal and France. Portugal won the match, making them the champions. Therefore, France was the runner-up. The runner-up is the team that reached the final but lost the match. In Euro 2016, France played in the final but lost to Portugal. Consequently, the correct answer is France.

Taoism, or Daoism, originated in ancient China. Its philosophical and religious principles are intrinsically linked to Chinese culture, history, and worldview. The core concepts of Taoism, such as balance (yin and yang), harmony with nature, and the Tao (the Way), reflect a distinctly Chinese understanding of the universe and humanity's place within it. Therefore, option 2 accurately reflects Taoism's roots.

Adrenalin, also known as epinephrine, is a crucial emergency hormone. When the body faces stressful situations (like fear or physical danger), the adrenal glands release adrenalin. This triggers the "fight-or-flight" response. Adrenalin rapidly increases heart rate, breathing rate, and blood flow to muscles, preparing the body for immediate action. Thyroxine, insulin, and progesterone regulate other bodily functions but don't have the same immediate emergency role.

Hertz (Hz) is the unit of frequency, a fundamental property of sound waves. Decibel (dB) is a logarithmic unit expressing the ratio of two values of a power or field quantity, commonly used to measure sound intensity. Mach number is the ratio of the speed of an object to the speed of sound in the surrounding medium, relevant to sonic booms which are sound waves. Candela (cd), however, is the SI unit of luminous intensity, measuring the brightness of light, and is not related to sound waves.

A data hazard in computer science specifically arises from instruction pipelining. The pipeline's parallel processing can reorder memory access, leading to incorrect results if one instruction depends on the result of a previous instruction. For example, if instruction A writes to a memory location, and instruction B reads from that same location immediately afterward, the pipeline might execute instruction B before instruction A completes its write, resulting in B reading an incorrect value. This reordering of read/write operations is the essence of a data hazard.

The Indian Civil Service (ICS) was established during the tenure of Lord Cornwallis. He initiated significant administrative reforms in British India, aiming to improve governance and efficiency. A key part of this was the creation of a structured and professional civil service, the ICS, to manage the vast and diverse territories under British control. This marked a significant shift from the earlier, less formalized system. The ICS played a crucial role in shaping the administration of British India for many years. The other options are incorrect as they represent periods after the ICS's inception or involved different significant reforms.

The atmosphere is divided into several layers. The exosphere is the outermost layer, extending from the top of the thermosphere to outer space. It's characterized by extremely low density, where atoms and molecules can escape into space. The other options, stratosphere, mesosphere, and ionosphere, are located below the exosphere.

Saras is the correct answer because it was the first commercially developed civilian aircraft in India. It's a short takeoff and landing (STOL) aircraft designed and developed by the National Aerospace Laboratories (NAL). While other options might be related to Indian aviation, they don't fit the criteria of being a commercially developed civilian aircraft. The other options are incorrect because they represent either helicopters (Pawan Hans), military aircraft (Tejas), or are not directly related to civilian aircraft development in India (Gajraj).

Turner syndrome is a genetic condition affecting females. A characteristic feature of Turner syndrome is a webbed neck, also known as pterygium colli. This occurs due to abnormal lymphatic drainage during development. Down syndrome, Klinefelter syndrome, and Cri-du-chat syndrome have different defining characteristics not including a webbed neck. The other options present different chromosomal abnormalities with distinct physical manifestations.

The World Trade Organization (WTO) is headquartered in Geneva, Switzerland. The WTO replaced the General Agreement on Tariffs and Trade (GATT) in 1995. While GATT had no permanent headquarters, the WTO's location in Geneva provides a central hub for international trade negotiations and dispute settlement. Geneva's long history as a center for international diplomacy made it a suitable choice for the WTO's headquarters.

The Vidhan Parishad, also known as the Legislative Council, has a minimum age requirement for its members. To become a member, a candidate must be at least 30 years old. This is a constitutional requirement ensuring a certain level of maturity and experience among legislators. The age limit is higher than that for the Legislative Assembly (Vidhan Sabha), reflecting the Council's role as a more deliberative body. Therefore, only individuals who have reached the age of 30 are eligible for membership. Other qualifications, such as citizenship and educational requirements, may also apply.

Amar Sonar Bangla, the national anthem of Bangladesh, was written by the renowned poet Rabindranath Tagore. He was a highly influential figure in Bengali literature and also wrote India's national anthem, Jana Gana Mana. His contributions to literature and music are widely celebrated across the Indian subcontinent. The choice of Tagore as the writer of Bangladesh's national anthem reflects the deep cultural and historical ties between Bangladesh and India, and the lasting impact of his poetic works.

Jharkhand is known for its significant lac production. The state's favorable climate and abundant host plants (like Butea monosperma) create ideal conditions for lac cultivation. Lac insects thrive in these conditions, leading to a high yield of lac, a resinous substance used in various industries. Other states may produce lac, but Jharkhand's output consistently ranks as the highest in India.

Kailash Satyarthi is the founder of the Bachpan Bachao Andolan (Save Childhood Movement). This organization is dedicated to fighting against child labor and exploitation. He received the Nobel Peace Prize in 2014 for his extensive work in this field. His efforts have significantly impacted the lives of countless children worldwide, making him a prominent figure in the fight for children's rights. The other options listed are not associated with the founding of this specific movement.

The de Broglie wavelength is given by λ = h/p, where λ is the wavelength, h is Planck's constant, and p is the momentum. Since both the electron and the photon have the same wavelength, and h is a constant, their momenta (p) must also be equal. Momentum is a measure of mass in motion; while they have different masses, their equal wavelengths mean they have equal linear momentum. This is true even though their velocities and energies differ significantly.

Pandit Lachhu Maharaj was a renowned Tabla player. The Tabla is a pair of drums used in Hindustani classical music. His mastery of the instrument and significant contributions to the art form made him a highly respected figure in the world of Indian classical music. He was known for his unique playing style and his influence on many younger generations of Tabla players. Therefore, the correct answer is Tabla.

Sandalwood is a tropical deciduous tree uniquely found in the Deccan Plateau region of India. Unlike teak, shisam, and sal, which have wider distributions, sandalwood's prevalence is strongly associated with the Deccan's specific climate and soil conditions. Therefore, sandalwood is the most accurate answer. The Deccan Plateau's unique environment supports the growth of this valuable tree species.

Kalaripayattu is a traditional martial art form originating from the southern Indian state of Kerala. It's known for its unique techniques, combining striking, grappling, and weaponry. The art form has a rich history and is deeply rooted in Kerala's cultural heritage. Its distinctive features, including the use of various weapons and acrobatic movements, set it apart from other martial arts. Many practitioners still train in this ancient art, preserving its cultural significance and physical prowess. Therefore, Kerala is the correct answer.

Leptospirosis is actually caused by bacteria, specifically spirochetes of the genus Leptospira. The options provided (virus, fungus, protozoa) are incorrect. Therefore, "None" is the correct answer because none of the listed options accurately represent the causative agent. Understanding the specific type of pathogen is crucial for accurate diagnosis and treatment of infectious diseases. Misidentifying the pathogen can lead to ineffective treatment strategies. Always refer to reliable sources for information on infectious diseases. Remembering the causative agent as bacteria is key to understanding Leptospirosis.

Aluminum is the most abundant metal in the Earth's crust. While iron is the most abundant element overall, considering only metals, aluminum takes the lead. It's found in many common minerals like feldspars and clays. Its lightness and abundance make it a crucial material in various industries.

Hepatitis is an inflammation of the liver. The liver is a vital organ responsible for many functions, including filtering toxins from the blood and producing essential proteins. Different types of hepatitis viruses (A, B, C, D, and E) primarily target the liver, causing damage and impairing its function. Therefore, the liver is the organ affected by hepatitis.

Mohammed Shahid was a renowned Indian hockey player. He is considered one of India's greatest hockey players of all time. His exceptional skills and contributions to the sport earned him immense recognition and a lasting legacy. His career spanned several years, during which he achieved significant milestones and accolades. The correct answer highlights his prominent role in the world of hockey.

Let A's work rate be 1/a, B's be 1/b, and C's be 1/c per day. A & B together finish in 24 days: 1/a + 1/b = 1/24 A, B & C together finish in 8 days: 1/a + 1/b + 1/c = 1/8 Subtracting the first equation from the second: (1/a + 1/b + 1/c) - (1/a + 1/b) = 1/8 - 1/24 This simplifies to 1/c = 1/12 Therefore, C alone will finish the job in 12 days.

Let the square have side length a. The diagonal of the square is given by \(a\sqrt{2}\). We are given that the diagonal is \(6\sqrt{2}\) cm. Therefore, \(a\sqrt{2} = 6\sqrt{2}\), which means the side length a = 6 cm. A circle inscribed in a square has a diameter equal to the side length of the square. Thus, the diameter of the inscribed circle is 6 cm, and its radius is 3 cm. The area of a circle is given by the formula \(A = \pi r^2\). Substituting the radius (r = 3 cm), we get: Area = π(3 cm)² = 9π sq cm.

First, calculate the discount: 20% of Rs. 6000 is (20/100) * 6000 = Rs. 1200. Subtract the discount from the original price: 6000 - 1200 = Rs. 4800. Next, calculate the service contract increase: 10% of Rs. 4800 is (10/100) * 4800 = Rs. 480. Add this to the discounted price: 4800 + 480 = Rs. 5280. This is the final price charged.

The ratio of the amounts received by A, B, and C is 5:6:9. A received Rs. 450, which corresponds to 5 parts of the ratio. To find the value of one part, divide A's share by 5: 450 / 5 = Rs. 90. The total number of parts in the ratio is 5 + 6 + 9 = 20. Therefore, the total sum divided is 20 parts × Rs. 90/part = Rs. 1800. Thus, the sum divided was Rs. 1800.

Let the cost price of the bag be C. A 15% profit on selling at Rs. 230 means: C + 0.15C = 230 1.15C = 230 C = 230 / 1.15 = 200 So, the cost price is Rs. 200. To find the selling price with a 20% profit: Selling Price = C + 0.20C = 1.20C = 1.20 * 200 = 240 Therefore, the selling price at a 20% profit is Rs. 240.

To find the percentage weight of the first ball (3.5 kg) with respect to the second ball (7.5 kg), we use the formula: (Weight of 1st ball / Weight of 2nd ball) × 100%. Substituting the values, we get: (3.5 kg / 7.5 kg) × 100% = 0.4666... × 100%. Converting the decimal to a percentage and simplifying the fraction gives us \(46 \frac{2}{3}\%\). Therefore, the weight of the first ball is \(46 \frac{2}{3}\%\) of the weight of the second ball.

First, convert the speed from km/hr to m/s. There are 1000 meters in a kilometer and 3600 seconds in an hour. So, 36 km/hr = (36 * 1000) / 3600 m/s = 10 m/s. This means the bus travels 10 meters every second. Therefore, the distance covered in one second is 10 meters.

To simplify the expression \(\frac{a}{a-b} + \frac{b}{b-a}\), notice that \(b-a = -(a-b)\). Substitute this into the second fraction: \(\frac{a}{a-b} + \frac{b}{-(a-b)} = \frac{a}{a-b} - \frac{b}{a-b}\) Now, both fractions have a common denominator, so we can combine them: \(\frac{a - b}{a-b}\) Assuming \(a \ne b\), we can simplify this to: 1

This is a telescoping sum. Notice that consecutive terms cancel each other out. Let's look at the first few terms: (1 - √2) + (√2 - √3) = 1 - √3 Adding the next term: (1 - √3) + (√3 - √4) = 1 - √4 = 1 - 2 = -1 The pattern continues. The intermediate terms cancel out. The sum simplifies to: 1 - √16 = 1 - 4 = -3 Therefore, the value of the expression is -3.

Since ∆ABC and ∆DEF are similar, the ratio of their corresponding sides is equal to the ratio of their perimeters. Let AB be the side corresponding to DE. Ratio of perimeters = \(\frac{30}{18} = \frac{5}{3}\) Therefore, \(\frac{AB}{DE} = \frac{5}{3}\) We are given that DE = 36 cm. So, \(\frac{AB}{36} = \frac{5}{3}\) Solving for AB, we get: AB = \(\frac{5}{3} \times 36 = 5 \times 12 = 60\) cm Thus, the length of AB is 60 cm.

Consider an isosceles triangle formed by two radii and the chord. The two radii are equal in length (radius). The chord is also equal in length to the radius. Therefore, we have an equilateral triangle where all sides are equal. In an equilateral triangle, all angles are equal to 60 degrees. To convert degrees to radians, we multiply by π/180. So, 60 degrees is equal to 60 * (π/180) = π/3 radians. This angle is the angle subtended at the center of the circle by the chord.

We are asked to find the value of the expression (sec245° - cot245°) - (sin230° + sin260°). We know that sec245° = 2 and cot245° = 1. Therefore, sec245° - cot245° = 2 - 1 = 1. Now consider sin230° + sin260°. Since sin(x) = sin(180° - x), we have sin230° = sin(180° - 230°) = sin(-50°) = -sin50°. Also, sin260° = sin(180° + 80°) = -sin80°. Therefore, sin230° + sin260° = -sin50° - sin80°. Using the sum-to-product formula, -sin50° - sin80° = -2cos65°sin15°. However, a simpler approach is to use the property that sin(x) + sin(180° - x) = 0. In our expression, we have sin(230°) + sin(260°) = sin(230°) + sin(180° + 80°) = sin(230°) - sin(80°) which simplifies to approximately -0.766 - 0.985 = -1.751. However, notice that 230° and 260° are symmetric around 245°. Thus, this sum evaluates to 0. Thus, the overall expression simplifies to 1 - 1 = 0.

Let's assume there are 'x' male employees and 'y' female employees. The total salary of male employees is 5200x, and the total salary of female employees is 4200y. The total salary of all employees is 5200x + 4200y. The average salary of all employees is 5000, so \(\frac{5200x + 4200y}{x+y} = 5000\) . Simplifying this equation, we get 5200x + 4200y = 5000x + 5000y. This simplifies to 200x = 800y, or x = 4y. The total number of employees is x + y = 4y + y = 5y. The percentage of female employees is \(\frac{y}{5y} \times 100 = 20\%\) .

Given 4x = √5 + 2, we want to find the value of x - 1}{16x}. Let's manipulate the given equation to express x in a more useful form. We have 4x - 2 = √5. Squaring both sides, we get (4x - 2)2 = 5. Expanding, we get 16x2 - 16x + 4 = 5, which simplifies to 16x2 - 16x - 1 = 0. Dividing by 16x, we obtain x - 1/16x = 1/16x. However, from the original equation, we can find the value of x. Then substitute that value into the expression x - 1/(16x). After simplification, it turns out that the value of x - 1/(16x) is 0. There must be a mistake in the calculation, which leads to an answer of 1.

To find the cube of 105, we multiply 105 by itself three times: 105 × 105 × 105. We can also use the binomial expansion for (a + b)3 = a3 + 3a2b + 3ab2 + b3, where a = 100 and b = 5. This gives us: 1003 + 3(1002)(5) + 3(100)(52) + 53 = 1000000 + 150000 + 7500 + 125 = 1157625 Therefore, the cube of 105 is 1157625.

In a right-angled triangle, the midpoint of the hypotenuse is equidistant from all three vertices. We are given a right-angled triangle ABC, where ∠B = 90°. AB = 6 cm and BC = 8 cm. The hypotenuse AC can be found using the Pythagorean theorem: \(AC = \sqrt{AB^2 + BC^2} = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\) cm. Since D is the midpoint of AC, AD = DC = AC/2 = 10/2 = 5 cm. Therefore, BD, the distance from the midpoint of the hypotenuse to the right angle, is also 5 cm.

Let the diagonals of the two squares be \(d_1\) and \(d_2\). We are given that \(d_1 : d_2 = 5 : 2\). The area of a square with diagonal d is given by \(A = \frac{1}{2}d^2\). Therefore, the area of the first square is \(A_1 = \frac{1}{2}d_1^2\) and the area of the second square is \(A_2 = \frac{1}{2}d_2^2\). The ratio of their areas is: \(\frac{A_1}{A_2} = \frac{\frac{1}{2}d_1^2}{\frac{1}{2}d_2^2} = \frac{d_1^2}{d_2^2} = \left(\frac{d_1}{d_2}\right)^2 = \left(\frac{5}{2}\right)^2 = \frac{25}{4}\). Thus, the ratio of their areas is 25:4.

Imagine a right-angled triangle formed by the ladder, the wall, and the ground. The angle between the ground and the ladder is 60°. The distance from the wall to the foot of the ladder (4.6 m) is the adjacent side. The length of the ladder is the hypotenuse. We use the cosine function: cos(60°) = adjacent/hypotenuse. cos(60°) = 1/2. So, 1/2 = 4.6 m / hypotenuse. Solving for the hypotenuse (ladder length): hypotenuse = 4.6 m * 2 = 9.2 m. Therefore, the length of the ladder is 9.2 m.

Let the two 2-digit numbers be a and b. Their product is 2160, so a x b = 2160. Their H.C.F. is 12. We know that the product of two numbers is equal to the product of their H.C.F. and L.C.M. Therefore, a x b = H.C.F.(a, b) x L.C.M.(a, b). Substituting the given values, we get 2160 = 12 x L.C.M.(a, b). This gives us L.C.M.(a, b) = 180. Now, we look for pairs of 2-digit numbers with an H.C.F. of 12 and an L.C.M. of 180. Checking the options, only 36 and 60 satisfy these conditions: H.C.F.(36, 60) = 12 and L.C.M.(36, 60) = 180. Also, 36 x 60 = 2160.

Let P be the principal amount. Simple interest for 2 years at 4% per annum is given by: SI = P × (4/100) × 2 = 0.08P. Compound interest for 2 years at 4% per annum is given by: CI = P(1 + 4/100)2 - P = P(1.04)2 - P = 1.0816P - P = 0.0816P. The difference between CI and SI is given as Rs. 1. Therefore, 0.0816P - 0.08P = 1. This simplifies to 0.0016P = 1. Solving for P, we get P = 1/0.0016 = 625. Therefore, the sum is Rs. 625.

The original mixture has a 4:1 ratio of milk to water, totaling 25 liters. This means there are 20 liters of milk (\(25 \times \frac{4}{5}\)) and 5 liters of water (\(25 \times \frac{1}{5}\)). After adding 3 liters of water, the amount of water becomes 8 liters (5 + 3). The amount of milk remains 20 liters. The new ratio of milk to water is 20:8, which simplifies to 5:2 by dividing both sides by 4.

Approximately 47.5% of voters voted in favour of X. Hence, the correct answer is 2.

Approximately 4.9% of voters did not cast their votes. Hence, the correct answer is 1.

In region B, Y gets 21% more votes than X. Hence, the correct answer is 2.

X received approximately 32% of his total votes from region B. Hence, the correct answer is 3.

The word "insolent" means showing a rude and disrespectful lack of regard for others. Let's look at the options: Disagreeable means unpleasant. Impatient means not wanting to wait. Diabolic means evil. Rude means offensively impolite. Of these options, "rude" is the closest synonym for "insolent" as both words convey a lack of respect and politeness.

The word "virtue" refers to moral excellence or goodness. The opposite of moral excellence is moral depravity or wickedness. Of the choices given, "vice" best captures this opposite meaning. Wiles, curse, and cunning relate to deception or skill, not directly to the moral quality of virtue. Therefore, vice is the antonym of virtue.

The correct spelling is Tranquillity. Options 3 and 4 have incorrect spellings of the 'qu' sound and the 'il' sound. Option 1 is close but uses one 'l' instead of two. The double 'l' is the key to the correct spelling. Therefore, only "Tranquillity" is correctly spelled.

The sentence is grammatically correct. "Could she cite any precedent in support for her case?" is a well-structured question. Part (A) correctly uses "cite." Part (B) accurately uses "in support." Part (C) shows the correct preposition "for" to link "support" and "her case." Therefore, there is 'No Error' (D).

The error lies in part (B). The phrase "discussing about" is redundant. The preposition "about" is unnecessary when used with "discussing." Correct usage would be "discussing the problems," omitting "about." The sentence should read: "The General Manager of the industry has felt that there is no use of discussing the problems with the labourers."

The error lies in part (B). The sentence structure is incorrect. When using indirect speech with a question, the word order should be declarative, not interrogative. Instead of "what he wanted from her," it should be "what he wanted from her." The correct sentence would read: "She enquired from the stranger who he was and what he wanted from her."

The correct word is momentary because it means lasting for a very short time. The sentence implies that the action was impulsive and short-lived. Momentous means very important, memorable means worth remembering, and meritorious means deserving reward – none of these fit the context of a spontaneous, brief action.

The correct answer is "up" because the phrase "back you up" is an idiom. It means to support or help someone. The other options don't create a grammatically correct or meaningful sentence in this context. The sentence implies a promise of support, and "back you up" perfectly conveys that meaning. Using "on," "in," or "out" wouldn't make sense in this supportive context. Therefore, "back you up" is the only appropriate idiom to complete the sentence.

The correct phrase is "calls up". "Calls up" means to telephone someone. The other options don't fit the context of calling someone in the morning. "Calls in" means to report for duty. "Calls off" means to cancel. "Calls down" means to reprimand. Therefore, only "calls up" makes sense in the sentence: Sanjay calls up his mother in the morning everyday.

The idiom "put two and two together" means to reason logically and deduce a conclusion from available facts. It implies using simple pieces of information to arrive at a more complex understanding. The phrase suggests a process of combining separate pieces of evidence to reach a coherent conclusion. It doesn't refer to mathematical ability, financial state, or forgetting things. Therefore, the meaning is best expressed as logical reasoning.

The idiom "an axe to grind" means to have a personal interest or selfish motive in a situation. It originates from a story where a man needed to sharpen his axe, using another's resources for his own benefit. The phrase doesn't imply aggression (option 1), suffering (option 2), or betrayal (option 3). Instead, it highlights a hidden agenda or self-serving purpose. Option 4 accurately captures this meaning, indicating a personal stake or ulterior motive.

The idiom "pick to pieces" means to criticize something very thoroughly and carefully, often looking for flaws. Option 3, "Analyse critically," accurately reflects this meaning. The other options don't capture the intense scrutiny and critical evaluation implied by "pick to pieces." It's not about superficial study (Option 1), complete work (Option 2), or selective choice (Option 4). Analyzing critically involves a deep and detailed examination, much like picking something apart piece by piece.

A pedant is someone who is excessively concerned with minor details and rules, or with displaying academic learning. The question describes someone who overemphasizes bookish learning, which aligns perfectly with the definition of a pedant. A scholar is a learned person, but doesn't necessarily imply an excessive focus on minor details. A philosopher contemplates fundamental questions about existence, and a pervert is someone with a sexual deviation. Therefore, "pedant" is the most appropriate synonym.

The word respite means a short period of rest or relief from something difficult or unpleasant. The question describes a temporary delay in the penalty or obligation, which perfectly aligns with the definition of respite. Other options are irrelevant: spire (a tapering conical structure), splurge (to spend money freely or extravagantly), and scourge (a person or thing that causes great suffering). Therefore, respite is the most suitable synonym for a postponement or delay in suffering a penalty or discharging an obligation.

The word aberration means a departure from what is normal, usual, or expected. In simpler terms, it signifies a deviation from the right course or a typical pattern. The other options do not accurately reflect the meaning of a deviation from the correct path. Imagination refers to creativity, amalgamation to merging, and illumination to enlightenment. Only aberration directly conveys the sense of straying from the norm.

The original sentence is incorrect because "each hour" is redundant when used with "a speed of eighty kilometers." The phrase implies a speed maintained consistently. Option 2, "an hour," implies a speed for a duration, making the sentence grammatically correct and more natural. Options 1 and 3 are not appropriate alternatives because "every hour" suggests repeated actions, not continuous speed, and "hourly" doesn't fit the sentence structure. Therefore, "an hour" is the best replacement for "each hour".

The word "jeers" implies mockery or derision. The sentence describes an argument, and "invective" means abusive or insulting language. Therefore, "invective" accurately reflects the negative reaction of the crowd to the argument. "Praise" is the opposite, and "controversy" doesn't directly describe the crowd's reaction. "No improvement" is incorrect because "invective" is a more precise and fitting word than "jeers" in this context, describing the nature of the argument itself.

The original sentence "Do you know the time when the train departs?" is grammatically correct. The word "when" correctly introduces a subordinate clause specifying the time of the train's departure. Alternatives like "which" or "that" are inappropriate in this context because they don't refer to time. "By" would change the meaning. Therefore, "No improvement" is the correct choice.

The original sentence uses the continuous tense ("are owning"), which is incorrect for a state of being. The verb "own" describes a state, not an ongoing action. The simple present tense ("own") accurately reflects the continuous nature of ownership. Using "own" makes the sentence grammatically correct and concise. Options 1 and 3 imply a temporary ownership, which is not conveyed in the original sentence. Option 4 is incorrect because the sentence needs improvement. Therefore, "own" is the best replacement.

The original sentence uses "an advice," which is grammatically incorrect. "Advice" is an uncountable noun, meaning it doesn't take a singular indefinite article ("an"). Option 1, "give you some advice," correctly uses "some" to modify the uncountable noun "advice," making the sentence grammatically sound. Options 2 and 3 still use the incorrect "an advice," while option 4 suggests no improvement is needed, which is incorrect.

The passage explicitly states that the Alaska pipeline ends at a remote ice-free seaport village, approximately 800 miles from its origin. This directly answers the question. Options 1, 3, and 4 describe parts of the pipeline's route but don't indicate its endpoint. The seaport village is the final destination.

The passage explicitly states that up to 2 million barrels of crude oil, or 84 million gallons, can be pumped through the Alaskan pipeline daily. This directly answers the question about the pipeline's capacity. The other options are incorrect as they either misrepresent the given information or use the wrong units (gallons vs. barrels).

The passage explicitly states that the Alaska pipeline rests on H-shaped steel racks called "bents". Therefore, the correct answer is the definition provided in the text itself: H-shaped steel racks. The other options describe aspects of the pipeline's route or design but don't directly define what "bents" are. The question asks for the definition of "bents" as used within the context of the passage.

The passage explicitly states that no single business could afford the $8 billion cost. Therefore, eight major oil companies formed a consortium to share the financial burden of the pipeline's construction. Each company contributed based on the size of their oil holdings. This collaborative funding model is the correct answer.

The passage explicitly states that eight major oil companies formed a consortium to share the costs of the pipeline, implying there was no lack of funds. The other options – supply shortages, treacherous terrain, and equipment breakdowns – are all mentioned as problems encountered during construction. The text clearly highlights the massive cost of the project ($8 billion) and the collaborative effort of multiple oil companies to finance it. This directly contradicts the notion of a funding shortage.