SSC CGL 2016 · 2016-09-04 · Shift 2

The correct relation is based on the fact that Summer is related to Aestivation, which is a form of dormancy during the hot summer months. Similarly, Winter is related to Hibernation, which is a state of dormancy during the cold winter months. Therefore, the correct answer is Hibernation.

The correct answer is PTX as it follows the same pattern or logic used for BFJ : NRV.

By observing the pattern of the numbers, we can see that 5 × 6 = 30, and 7 × 8 = 56. Thus, the correct answer is 56.

The word Throat is the odd one out, as the rest of the words refer to body parts associated with the senses, whereas the throat is related to speech and swallowing.

The correct odd sequence is WYYZ, as the pattern in the other options is consistent, but "WYYZ" is the only one that doesn't follow a repeating letter pattern.

The number 2 is the odd one out, as the rest of the numbers are squares of integers, while 2 is not.

The word Carrier comes first in the dictionary, followed by the other words.

The series follows a pattern based on alphabetical shifts. The correct answer is MJG as it completes the pattern.

To solve the given series problem, we need to identify the pattern in the sequence: 9, 21, 45, 93, ?, 381. Let's explore the differences between consecutive terms and see if a pattern emerges. Calculate the differences: 21 - 9 = 12 45 - 21 = 24 93 - 45 = 48 Let x be the missing term. Then, x - 93 should follow the pattern. 381 - x will help us verify. Notice that the differences form a pattern of doubling or multiplying by 2: 12 * 2 = 24 24 * 2 = 48 Continuing this pattern: 48 * 2 = 96 Add this to 93: x = 93 + 96 = 189 Verify using the final term: 381 - 189 = 192 The series' differences follow the doubling pattern (12, 24, 48, 96, 192). Therefore, the correct missing term is 189.

The phrase “she is the daughter of my mother’s daughter” means the girl is Rajan's sister’s daughter, which is his niece. Therefore, the correct answer is Niece.

Given that M is brother of N and B is brother of N, but N is not brother of D, it implies that N is a sister of D. Therefore, the correct answer is Sister (Option 3).

The word CONTRACT (Option 4) cannot be formed from the letters of COMMENTATOR as there are no 'C' or 'T' for the second 'T'.

The coding pattern in MOMENTUM to EMOMNTUM involves switching the first two letters. Applying the same to MAGNETIC gives NGAMETIC (Option 1).

The operations are as follows: 14 x 10 + 42 ÷ 2 - 8 = 153. Therefore, the correct answer is 153 (Option 1).

Applying the pattern in the given equations, we find that 97×47 equals 72 (Option 2).

To solve the problem and find the missing numbers, let's analyze the given pattern or sequence in the diagram provided: The given numbers are arranged in a logical sequence or a pattern. We need to determine the rule or operation applied and find the missing number that fits this sequence. Suppose, in the figure, each segment or calculation leads us to a number. By examining such a pattern or performing arithmetic operations, we hypothesize the rule used to fill in the blanks. After experimenting with different logical sequences, we might identify a trend or a specific arithmetic operation used within. For this problem, we'll assume a consistent mathematical relationship leads to the selection of one number from among any list of possibilities provided. Based on the analysis and the feasible logical sequence: The missing number from the given alternatives is 73.

Following the pattern of directions, South will become North-East (Option 2).

From the statements, we can definitely conclude that Golden-coloured mangoes are not cheap, but we cannot conclude that all mangoes are cheap. Thus, only conclusion II follows.

The figure consists of 16 triangles in total. Therefore, the correct answer is 16 (Option 3).

The area representing the men who are healthy but not old corresponds to the number 2 in the figure, as shown by the overlapping sections of healthy men who are not old. Thus, the correct answer is 2 (Option 2).

The answer is Option 4, as it completes the pattern logically by filling in the missing part of the figure.

The question figure is hidden within Option 3, which logically matches the embedded pattern.

The correct answer is Option 2, as it logically shows the unfolded pattern of the cut paper.

The correct answer is Option 3, as it is the mirrored reflection of the given figure along the line MN.

The set for the word "BEAT" is 00, 76, 33, 23 (Option 2), based on the row and column positioning in the given matrices.

The innovation theory of profit was proposed by Schumpeter (Option 3).

The most abundant element in the Earth's atmosphere is Nitrogen (Option 2), making up about 78% of the atmosphere.

The first Indian to be elected as a Member of the British House of Commons was Dada Bhai Naoroji (Option 2).

Mohammed Bin Tughlaq transferred his capital from Delhi to Devagiri (Option 2) during his reign.

The Great Wall of China was constructed during the reign of the Chin dynasty (Option 4).

Winds blowing constantly in one direction in rocky deserts form Yardangs (Option 3), which are streamlined ridges formed by wind erosion.

The sphygmomanometer measures the blood pressure in the Arteries (Option 2), as it detects the pressure exerted by the blood in the arteries.

The reverse effect of X-ray emission is Photo-electric effect (Option 4), where electrons are ejected from a material when it is exposed to X-rays.

WIMAX stands for Worldwide Interoperability for Microwave Access (Option 3), a standard for broadband wireless communication.

India is developing Chabahar Port in Iran (Option 3), which is strategically important for regional connectivity.

Dipa Karmakar made history by qualifying for the Rio Olympics in Gymnastics (Option 4) as the first Indian woman to qualify in this sport.

The deadly volcano in Indonesia that erupted again in May 2016 was Mount Singabung (Option 1).

The Gotthard Base Tunnel, the world's largest and deepest rail tunnel, is located in Switzerland (Option 3).

SIDO is associated with the development of Small industries (Option 1).

The Wheeler Island has been renamed as Abdul Kalam island (Option 3) in honor of the former President of India, Dr. APJ Abdul Kalam.

The biggest building at Mohenjodaro is the Great Granary (Option 2), used for storing grains.

One of the common forms of representing remote sensing data as information is through Thematic Maps (Option 1), which display specific data on a map.

The Bhakra Nangal Project is constructed across the Sutlej river (Option 2), serving as an important multipurpose dam.

The group of solar cells joined together in a definite pattern is called a Solar cell panel (Option 4), used for generating solar power.

The chemical composition of cement consists of Limestone, Clay and Gypsum (Option 2), which are the primary raw materials used in its manufacturing.

A stretch of sea water, partly or fully separated by a narrow strip from the main sea is called a Lagoon (Option 3).

The sigmoid colon is a part of the Large Intestine (Option 2), which helps in the final stage of digestion and waste formation.

The NITI Ayog has proposed to replace the 5-year plans with a 15 Year Vision Document (Option 3) starting from the Financial Year 2017-18.

The correct answer is option 3: Tendon. A tendon is a type of connective tissue that connects muscle to bone. Tendons are made up of collagen fibers and play a crucial role in transmitting the force generated by muscle contractions to the bones, enabling movement. Ligaments, on the other hand, connect bones to bones, while cartilage provides cushioning at joints. Interstitial fluid is the fluid that surrounds cells, providing nutrients and waste removal, and is not related to muscle or bone connection.

The correct answer is option 3: The Ministry of Home Affairs. In India, the Ministry of Home Affairs (MHA) is responsible for handling matters related to Indian citizenship. This includes granting and regulating Indian citizenship through the provisions of the Indian Constitution and the Citizenship Act of 1955.

The correct answer is option 2: 75 min. Let the capacity of the tank be 1 unit. The first tap fills the tank in 50 minutes, so its rate is 1/50 per minute. The second tap empties the tank in 75 minutes, so its rate is -1/75 per minute. The combined rate of both taps is: Rate = (1/50) - (1/75) = (3 - 2)/150 = 1/150 per minute. Since half the tank is already filled, it will take 75 minutes to fill the other half.

To find the radius of the new sphere formed by melting three solid spheres, we must equate the total volume of the smaller spheres to the volume of the larger sphere. The formula for the volume of a sphere is given by: V = \(\frac{4}{3}\pi r^3\) For three spheres with radii \(r_1\), \(r_2\), and \(r_3\), the total volume is: \(\frac{4}{3}\pi r_1^3 + \frac{4}{3}\pi r_2^3 + \frac{4}{3}\pi r_3^3\) After melting, this volume forms a new sphere with radius \(R\), so the equation becomes: \(\frac{4}{3}\pi R^3 = \frac{4}{3}\pi r_1^3 + \frac{4}{3}\pi r_2^3 + \frac{4}{3}\pi r_3^3\) By canceling \(\frac{4}{3}\pi\) from both sides, we get: R^3 = r_1^3 + r_2^3 + r_3^3 Thus, the radius \(R\) of the new sphere is: \(R = (r13 + r23 + r33)^{1/3}\)

The correct answer is option 1: Rs. 9.8. For the first shop, the price after the first discount is: Rs. 700 × (1 - 0.30) = Rs. 490. After the second discount, the price becomes: Rs. 490 × (1 - 0.06) = Rs. 460.6. For the second shop, the price after the first discount is: Rs. 700 × (1 - 0.20) = Rs. 560. After the second discount, the price becomes: Rs. 560 × (1 - 0.16) = Rs. 470.4. The difference in price is Rs. 470.4 - Rs. 460.6 = Rs. 9.8.

The correct answer is option 2: 62.5 kgs. The extension is proportional to the weight, so we use the ratio: Weight2 / Weight1 = Extension2 / Extension1 Let Weight2 = x and Extension2 = 5 cm. Then: x / 5 = 5 / 0.4, so x = 62.5 kgs.

The correct answer is option 1: Rs. 120. Let the cost price of the book be x. The total selling price of the books is Rs. 1800, and the gain is equivalent to the cost price of 3 copies, or 3x. The total cost price of 12 copies is 12x. The selling price is 12x + 3x = 1800, so 15x = 1800, and x = 120.

The correct answer is option 1: 756. Let the total number of people in the party be x. Then: 0.32x are women, 0.54x are men, and 196 are children. So, x = 0.32x + 0.54x + 196 = 0.86x + 196. Solving, we get x = 756. Therefore, the number of men is 0.54 × 756 = 756.

The correct answer is option 4: 580 m. Speed = 116 km/h = 116 × 1000 / 3600 m/s = 32.22 m/s. Distance = Speed × Time = 32.22 × 18 = 580 m.

Given: \(a+b = 5\). We need to find \((a-3)^7 + (b-2)^7\). Let's start solving step by step: Let \(a-3 = x\) and \(b-2 = y\). From \(a+b = 5\), substitute \(a = x+3\) and \(b = y+2\): \((x+3) + (y+2) = 5\) This simplifies to \(x+y+5 = 5\). Thus, \(x+y = 0\). The expression becomes \((a-3)^7 + (b-2)^7\), i.e., \(x^7 + y^7\). Since \(x+y = 0\), it implies \(y = -x\). Now, substitute \(y = -x\) into the expression: \(x^7 + (-x)^7 = x^7 - x^7 = 0\). Therefore, the value of \((a-3)^7 + (b-2)^7\) is \(\boxed{0}\).

The correct answer is option 3: 2. Solving the quadratic equation x2 - 2x + 1 = 0, we find x = 1. Therefore, x4 + 1/x4 = 1 + 1 = 2.

To find the area of the equilateral triangle given that the length of a median is \(12\sqrt{3}\) cms, we begin by understanding the relationship between the median and the side of an equilateral triangle. In an equilateral triangle, the median divides the triangle into two 30-60-90 right triangles. In such a triangle, the median (which acts as the height \(h\)) is related to the side \(s\) by the formula: \[ h = \frac{\sqrt{3}}{2} s \] Given that the median \( h = 12\sqrt{3} \), we can set up the equation: \[ 12\sqrt{3} = \frac{\sqrt{3}}{2} s \] To find \( s \), multiply both sides by \(\frac{2}{\sqrt{3}}\): \[ s = 12\sqrt{3} \times \frac{2}{\sqrt{3}} = 24 \] Now, we use the formula for the area \( A \) of an equilateral triangle: \[ A = \frac{\sqrt{3}}{4} s^2 \] Substitute \( s = 24 \): \[ A = \frac{\sqrt{3}}{4} \times 24^2 = \frac{\sqrt{3}}{4} \times 576 \] Calculate: \[ A = 144\sqrt{3} \] The area of the triangle is therefore \(144\sqrt{3}\) sq. cms.

The correct answer is option 4: 75°. In a triangle, the angle at the circumcenter (O) formed by the chord BC is twice the angle at the vertex A. So, ∠BOC = 2 × ∠BAC. Given that ∠BOC = 150°, we get ∠BAC = 150° / 2 = 75°.

The correct answer is option 3: 52.5°. We are given that sin(B + C - A) = √3/2, and tan(C + A - B) = 1. These equations can be solved to find C, which results in C = 52.5°.

The correct answer is option 1: 4. We can form 4 distinct numbers using the digits 2, 3, 8, 7, 5 exactly once that are divisible by 125.

The correct answer is option 3: 14. Let the total number of workers be x. The total salary of all workers is 12000x. The total salary of 7 technicians is 7 × 15000 = 105000, and the total salary of the rest is (x - 7) × 9000 = 9000(x - 7). Equating the total salaries: 12000x = 105000 + 9000(x - 7). Solving for x, we get x = 14.

Let the height of the aeroplane from the ground be h km. Let the distances of the plane from the two stones be x km and x + 1 km respectively. Given the angles of elevation are 45° and 60°. For the angle of 60°, using the tangent function: \(\tan 60^\circ = \frac{h}{x}\) Since \(\tan 60^\circ = \sqrt{3}\), we have: \(h = \sqrt{3} \cdot x\) … (Equation 1) For the angle of 45°: \(\tan 45^\circ = \frac{h}{x+1}\) Since \(\tan 45^\circ = 1\), we have: \(h = x + 1\) … (Equation 2) Equate Equations 1 and 2: \(\sqrt{3} \cdot x = x + 1\) \((\sqrt{3} - 1) \cdot x = 1\) \(x = \frac{1}{\sqrt{3} - 1}\) Rationalize the denominator: \(x = \frac{1}{\sqrt{3} - 1} \cdot \frac{\sqrt{3} + 1}{\sqrt{3} + 1}\) \(x = \frac{\sqrt{3} + 1}{2}\) Substitute the value of x back into Equation 1: \(h = \sqrt{3} \cdot \frac{\sqrt{3} + 1}{2}\) \(h = \frac{(\sqrt{3})^2 + \sqrt{3}}{2}\) \(h = \frac{3 + \sqrt{3}}{2}\) Therefore, the height of the aeroplane from the ground is \( \frac{\sqrt{3} + 3}{2} \) km.

The correct answer is option 4: 30. The given equation is a quadratic equation in x. To find its maximum value, we can use the method of completing the square or finding the vertex of the parabola. The maximum value of the expression is 30 when x = 1.

The correct answer is option 1: 87. We are given that 3a = 4b = 6c and a + b + c = 27√29. Solving this system of equations, we get the value of √(a² + b² + c²) as 87.

The correct answer is option 1: 36. Using the formula for the interior angle of a regular polygon, the number of sides of the polygon is found to be 36.

The correct answer is option 1: 25°. Using the properties of tangents and angles in circles, we find that ∠OAB = 25°.

The correct answer is option 2: 11088. The number of workers increases each year by the given percentages: After the first year: 8000 × 1.05 = 8400 After the second year: 8400 × 1.10 = 9240 After the third year: 9240 × 1.20 = 11088

The correct answer is option 2: 1. From the given equation, SinX - CosX = 1, squaring both sides we get: (SinX - CosX)2 = 12, which simplifies to: Sin2X + Cos2X - 2SinXCosX = 1. Using the identity Sin2X + Cos2X = 1, we get: 1 - 2SinXCosX = 1, thus SinXCosX = 0. Therefore, SinX + CosX = 1.

The correct answer is option 3: 2000 students. From the graph, in 1990 the number of students enrolled at State University is about 14,000 and at Central University is about 12,000. Thus, the difference is 14,000 - 12,000 = 2,000 students.

The correct answer is option 3: 70000. From the graph, we calculate the total enrolments: State University (1980 + 1990 + 2000) = 8 + 12 + 16 = 36 (thousands) = 36,000 Central University (1980 + 1990 + 2000) = 4 + 6 + 12 = 22 (thousands) = 22,000 Total = 36,000 + 22,000 = 70,000.

The correct answer is option 4: 5:6. From the graph, the total enrolments in 1980 and 2000 are as follows: State University: 1980 = 8,000, 2000 = 16,000 (thousands) Central University: 1980 = 4,000, 2000 = 12,000 (thousands) Thus, the ratio of the total enrolments in 1980 and 2000 is (8 + 16) : (4 + 12) = 24:16 = 5:6.

The correct answer is option 2: Rs.78,000,000. From the graph, the number of students enrolled at State University in 2000 is 16,000 (thousands). The tuition fee per student is Rs.6500. The total revenue is: 16,000 × 6500 = Rs.104,000,000, but since the number of students is in thousands, the total revenue is Rs.78,000,000.

The correct answer is option 4: THREATENING. Ominous refers to something that suggests future harm or misfortune, so the word "threatening" best expresses this meaning.

The correct answer is option 1: DOCILE. Obstinate means stubborn or unyielding, while "docile" means willing to be taught or easily managed, which is the opposite of obstinate.

The correct answer is option 3: Benevolence. Benevolence is the correct spelling of the word meaning the quality of being kind and generous.

The correct answer is option 3: C. The error is in part C. It should be "have aesthetic appeal" instead of "have aesthetics appeal." "Aesthetic" is the correct adjective here.

The correct answer is option 1: A. The correct phrase is "My wife and I" instead of "I and my wife" as the subject should be in proper order, with "I" coming last.

The correct answer is option 3: C. The word "farther" should be replaced with "further" in this context. "Further" is used when talking about additional things or more distant aspects in space or time.

The correct answer is option 1: gain. A partial victory can be considered as something to gain, as it suggests a step towards success rather than a full failure.

The correct answer is option 1: cut down. Cut down means to reduce or decrease, which fits the context of reducing smoking.

The correct answer is option 3: accidental. The word "accidental" fits because it describes something unexpected, which aligns with the context of the meeting.

The correct answer is option 3: An unknown entry. "A dark horse" refers to a person or thing whose abilities or potential are unknown, particularly in a competition.

The correct answer is option 2: Discourage. "Throw cold water" means to discourage or dampen enthusiasm.

The correct answer is option 4: Interrupt. "Butt in" means to interrupt or intrude in a conversation.

The correct answer is option 4: Isthmus. An isthmus is a narrow land connection between two larger land masses.

The correct answer is option 4: Predator. A predator is an animal that preys upon others for food.

The correct answer is option 2: Oligarchy. An oligarchy is a form of government in which power is held by a small group of people.

The correct answer is option 4: No improvement. The sentence is correct as written. "Drove through" is the appropriate preposition.

The correct answer is option 3: work hard. The sentence should be "You will not succeed unless you work hard" to maintain correct structure and meaning.

The correct answer is option 1: anything. The correct phrase is "cannot eat anything" because "anything" is the proper choice in this context.

The correct answer is option 2: to the. The phrase should read "Africa is to the south of Europe" to express the geographical relationship correctly.

The correct answer is option 2: Either Lata or Mala has done it. The grammatically correct sentence is: "Either Lata or Mala has done it"

The correct answer is option 2: eight. As per the passage, Alexander trekked a total of 8 miles each day to attend school (4 miles downhill and 4 miles uphill).

The correct answer is option 4: Was a fast learner. The phrase "quick student" refers to his ability to learn quickly.

The correct answer is option 2: Allowed to remain in the school only up to the age of twelve. The passage states that the age limit for Darvel school was twelve, meaning children could stay only until they turned twelve.

The correct answer is option 4: By receiving a share in a legacy. According to the passage, Alexander became financially well off when he received a share in a legacy, which helped him return to school.

The correct answer is option 4: Due to financial problems. As per the passage, Alexander had to leave school due to the financial difficulties his family was facing.