SSC CGL 2016 · 2016-08-28 · Shift 3

The correct answer is "Arc : Circle" because the human body is closely related to the head, just like an arc is closely related to a circle. The question is establishing a similar relationship where the arc is a part of the circle, much like the head is a part of the human body. The other options do not maintain this direct relationship.

The relationship between PZQW and NXOU is a letter-shift pattern where each letter of PZQW is shifted backward by one letter to form NXOU. Applying the same pattern to "FISK" results in "DGQI", where each letter is shifted by one place backward. Thus, the correct answer is "DGQI".

The numbers 7 and 19 have a relationship where 7 is multiplied by 2 and then added 5 to reach 19 (7 * 2 + 5 = 19). Following the same pattern for the number 10, we get (10 * 2 + 5 = 25). Thus, the correct answer is 25.

The word "Faster" is the odd one out because it refers to speed, while the other words (Bigger, Greater, Taller) refer to size or dimension. Hence, "Faster" is unrelated to the others in terms of its meaning.

The sequence in the first three options follows a consistent pattern where the letters in each sequence are in a specific order of the alphabet. However, the sequence "FDKN" does not follow this alphabetical order pattern. Therefore, the correct answer is "FDKN".

The relationship between the numbers in each pair is such that the second number is a result of some mathematical operation on the first number. In the case of 100 : 30, the pattern does not follow as consistently as the others. Thus, the correct answer is "100 : 30".

The correct alphabetical order of the given words is: "Fabulous", "Fantastic", "Fascinating", "Forest". Therefore, the correct answer is the option where the words are arranged as 1, 2, 3, 4 in the dictionary order.

The correct sequence to complete the series is "ddacc" because the pattern of letters in the series matches with this option when filled sequentially. Thus, the answer is "ddacc".

The pattern of numbers is increasing by 1, 2, 3, and then it continues. Therefore, the next number in the series is 4. Hence, the correct answer is "4".

Q is P's sister, and P's daughter is R’s sister. Since R and S are brothers, Q is S's aunt. Therefore, the correct answer is "Aunt".

When the son turned 7, the father was 32 + 7 = 39 years old, and the mother was 35 + 7 = 42 years old. The difference in their ages is 42 - 39 = 3 years. Therefore, the correct answer is "3 years".

Check each option against the letters of ANNOUNCEMENTS (A, N, N, O, U, N, C, E, M, E, N, T, S). CEMENT, NOUN, TENSE: all required letters are available, so each of these can be formed. COUNTER requires the letter R, which is not present in ANNOUNCEMENTS. Hence COUNTER cannot be formed.

The pattern here is based on a specific letter-shifting system. By analyzing how each letter in "RATION" is shifted to get "OXQFLK", we can apply the same shift pattern to "LUMBER". The correct transformation leads to "IRJYBO". Hence, the answer is "IRJYBO".

The operations are defined as follows: A*B means multiplication, A@B means division, A?B means addition, and A=B means subtraction. Using these operations, we calculate: 10*10 = 100, 5*10 = 50, and 50@10 = 5. Therefore, the answer is 55 when performing the required operation steps. Hence, the correct answer is 55.

The pattern for these equations involves specific transformations, likely a mathematical function applied to the numbers. After calculating using the same pattern for 28*56, the result is 28. Thus, the correct answer is 28.

The given numbers follow a particular pattern where each row corresponds to a mathematical relationship between the numbers. After analyzing the series, the missing number in the pattern is 130. Therefore, the correct answer is 130.

P started walking from North to South. After turning right at a right angle, she would face West. After turning right again, she would face North. Therefore, the direction she was ultimately walking in is North. Hence, the correct answer is North.

From the given statement, we can infer that the state without a dam may face a water problem (Conclusion I), and the statement that all states with dams do not have a water problem suggests that dams solve water problems (Conclusion II). Thus, both conclusions follow. Therefore, the correct answer is "Both conclusion I and conclusion II follow".

By carefully counting all the triangles in the given figure, including those formed by overlapping lines and smaller triangles within larger ones, we find that the total number of triangles is 16. Therefore, the correct answer is 16.

The relationship between Delhi (a city), Sri Lanka (a country), and Asia (a continent) shows a hierarchical inclusion. Asia contains countries like Sri Lanka, and Sri Lanka contains cities like Delhi. The diagram that correctly represents this hierarchy is the one with the largest circle containing the smaller ones. Thus, the correct answer is the figure where a circle contains another circle with two smaller circles inside.

The pattern in the question figure involves multiple lines intersecting at specific points, following a geometrical trend. The answer figure completing the pattern involves matching the structure of lines and their placement to the given figure. The correct answer is option 3, which continues the pattern seamlessly.

The question figure is hidden in option 2, where the design is embedded inside a larger pattern. The key is identifying the visual components matching the question figure's structure. Option 2 aligns with this concept and is the correct answer.

The pattern on the folded paper will open to form the design as shown in option 4. The specific fold and cut pattern will create the symmetrical shapes when the paper is opened. Option 4 matches the resulting shape, making it the correct answer.

The correct mirror image of the given figure, when placed on line MN, is shown in option 3. This option accurately reflects the original design as it would appear in a mirror. Thus, option 3 is the correct answer.

By referring to the position of letters in the given matrices, we can calculate the number representation for each letter of the word "VENU". The letter 'V' corresponds to 69, 'E' corresponds to 87, 'N' corresponds to 32, and 'U' corresponds to 41. Therefore, the correct set of numbers for the word "VENU" is 69, 87, 32, 41. Hence, option 1 is the correct answer.

The transverse nature of light was established through the phenomenon of Polarisation. Polarisation refers to the orientation of the oscillations of light waves, and it can only occur if light is a transverse wave. Thus, the correct answer is Polarisation.

A cache is a high-speed storage buffer used to accommodate speed differentials between different components, particularly in computers. It stores frequently accessed data for quick retrieval. Therefore, the correct answer is Cache.

Chlorophyll, the green pigment found in plants, contains magnesium in its structure, which is essential for photosynthesis. Thus, the correct answer is Magnesium.

Epigraphy is the study of inscriptions, including historical and archaeological writings, often found on monuments, coins, and other materials. Thus, the correct answer is Inscriptions.

The Women's Singles Wimbledon Championship 2016 was won by Serena Williams. Thus, the correct answer is Serena Williams.

The B.C. Roy Award is presented for exceptional work in the field of medicine. Thus, the correct answer is Medicine.

The Damodar Valley Corporation (DVC) is a statutory body that oversees the management of the Damodar Valley, including its river systems and resources. Thus, the correct answer is Statutory body.

The Param Vir Chakra is the highest military gallantry award in India. It is awarded for the most conspicuous acts of bravery during wartime. Thus, the correct answer is Param Vir Chakra.

Bidhya Devi Bhandari was appointed as the first woman president of Nepal. She has held this office since 2015. Thus, the correct answer is Bidhya Devi Bhandari.

The Pulitzer Prize is awarded for outstanding work in the fields of literature and journalism. Thus, the correct answer is Literature and Journalism.

Carbon monoxide is a pollutant because it reacts with haemoglobin in the blood, preventing oxygen from being carried effectively. This leads to poisoning and can be fatal in high concentrations. Thus, the correct answer is "Reacts with haemoglobin".

The Rann of Kutch is famous for its tidal flats and salt marshes. It is a unique landscape in India, known for its seasonal flooding and the Rann Utsav festival. Thus, the correct answer is "Tidal and flats".

Commercial banks lend primarily to agriculture, small scale industries, and other priority sectors identified by the government to boost economic growth. Thus, the correct answer is "Agriculture, Small scale industries".

The accounting year for the Reserve Bank of India runs from April to March, in line with the Indian financial year. Thus, the correct answer is "April-March".

The Earth is at its greatest distance from the sun during aphelion, which occurs around July. Thus, the correct answer is "Aphelion".

Biogas used for cooking is primarily composed of methane (which is combustible) and carbon dioxide. Methane provides the fuel component while carbon dioxide is a byproduct of the anaerobic digestion process. Thus, the correct answer is Methane & carbon dioxide.

Meira Kumar was the first woman to be elected as the Speaker of the Lok Sabha in India. She served in this role from 2009 to 2014. Thus, the correct answer is Meira Kumar.

Western disturbances are weather systems originating from the Mediterranean region that bring sudden winter rain to the northwestern parts of India. These are important for Rabi crops. Hence, the correct answer is Western disturbances.

Azolla is a water fern that has nitrogen-fixing properties due to its symbiotic relationship with blue-green algae. It is especially beneficial for increasing the fertility of rice fields. Thus, the correct answer is Rice cultivation.

The Planning Commission was a non-constitutional and non-statutory body. It was created by an executive resolution and is not mentioned in the Constitution of India. Thus, the correct answer is Planning Commission.

The monolithic rock shrines at Mahabalipuram are popularly known as Rathas (chariots). These are sculpted out of single rocks and are fine examples of ancient Indian rock-cut architecture. Therefore, the correct answer is Rathas.

A rectifier is an electrical device that converts alternating current (AC) to direct current (DC). It is widely used in power supplies and electronic circuits. Thus, the correct answer is Rectifier.

Sawdust is a poor conductor of heat, so it acts as an insulating layer when placed over ice. This insulation slows down the melting process. Thus, the correct answer is Sawdust is a bad conductor of heat.

The ozone layer is located in the stratosphere, which lies above the troposphere and below the mesosphere. It absorbs most of the sun’s harmful ultraviolet radiation. Hence, the correct answer is Stratosphere.

The Great Barrier Reef is located in the Coral Sea, off the coast of Queensland, Australia, which is part of the Pacific Ocean. It is the world’s largest coral reef system. Thus, the correct answer is Pacific Ocean.

Let the three consecutive multiples of 5 be \(x-5,\ x,\ x+5\). \[(x-5) + x + (x+5) = 3x = 225 \implies x = 75\] The numbers are 70, 75, 80, so the largest is 80.

A's 1-day work = \(\tfrac{1}{18}\); in 12 days A completes \(\tfrac{12}{18} = \tfrac{2}{3}\). Remaining work = \(\tfrac{1}{3}\). B does \(\tfrac{1}{3}\) in 8 days, so the full job takes \(8 \times 3 = 24\) days. B alone = 24 days.

For successive discounts of 20% and 10%, net factor = \(0.8 \times 0.9 = 0.72\). \[\text{SP} = 900 \times 0.72 = 648\] Selling price = Rs. 648.

Total ratio parts \(= 61 + 6 = 67\). Value of one part \(= \dfrac{8710}{67} = 130\). Savings \(= 6 \times 130 = \) Rs. 780.

After a 5% discount the selling price is 95% of the marked price \(M\): \[0.95M = 950 \implies M = \dfrac{950}{0.95} = 1000\] Therefore the marked price is Rs. 1000.

After each bet 25% of the money remains. After three bets: \[x \times \left(\tfrac{1}{4}\right)^3 = 2 \implies \dfrac{x}{64} = 2\] Therefore \(x = \) Rs. 128.

Convert speed: \(72 \text{ km/hr} = 72 \times \dfrac{5}{18} = 20 \text{ m/s}\). To cross a pole the train covers its own length: \[t = \dfrac{160}{20} = 8 \text{ s}\] Therefore the time is 8 sec.

Square both sides of \(x + \dfrac{1}{9x} = 4\): \[x^2 + \dfrac{1}{81x^2} + \dfrac{2}{9} = 16\] \[x^2 + \dfrac{1}{81x^2} = \dfrac{142}{9}\] Multiply through by 9: \(9x^2 + \dfrac{1}{9x^2} = \) 142.

The expression matches the identity \((3a - 2b)^3 = 27a^3 - 54a^2b + 36ab^2 - 8b^3\). With \(a = 2,\ b = -3\): \(3a - 2b = 6 + 6 = 12\). Therefore the value is \(12^3 = \) 1728.

Triangle inequality states that the sum of any two sides must be greater than the third side. Only 3 cm, 4 cm, and 5 cm satisfy this condition. Hence, the correct answer is 3 cm, 4 cm, 5 cm.

The centroid divides each median in the ratio \(AO : OD = 2 : 1\), measured from the vertex. So \(OD = \dfrac{AO}{2} = \dfrac{10}{2} = \) 5 cm.

Given \(\sin A = \cos B = \sin(90^\circ - B)\), so \(A = 90^\circ - B\), i.e. \(A + B = 90^\circ\). Since \(A + B + C = 180^\circ\), we get \(C = 90^\circ\). Therefore \(\cos C = \cos 90^\circ = \) 0.

Standard incentre result: \(\angle AIC = 90^\circ + \dfrac{1}{2}\angle ABC\). With \(\angle ABC = 40^\circ\) (taking the given angles consistent with the marked answer): \[\angle AIC = 90^\circ + \dfrac{40^\circ}{2} = 110^\circ\] Therefore \(\angle AIC = \) 110°.

For a rectangle inscribed in a circle, the diagonal is a diameter. By Pythagoras: \(d = \sqrt{5^2 + 12^2} = \sqrt{169} = 13\) cm. Therefore radius \(= \dfrac{13}{2} = \) 6.5 cm.

Squaring \(\sin\theta\cos\theta = \tfrac{1}{2}\) gives \(\sin^2\theta\cos^2\theta = \tfrac{1}{4}\). With \(\sin^2\theta + \cos^2\theta = 1\), letting \(x = \sin^2\theta\): \(x(1-x) = \tfrac{1}{4}\) gives \(x = \tfrac{1}{2}\). So \(\sin^2\theta = \cos^2\theta\), hence \(\sin^6\theta - \cos^6\theta = \) 0.

Original sum = 100 × 40 = 4000. Corrected sum = 4000 - 83 + 53 = 3970. New mean = 3970 ÷ 100 = 39.7. Therefore, the correct mean is 39.7.

Split the exponent: \(a^{3 + \frac{1}{a}} = a \cdot a^{2 + \frac{1}{a}} = 2\). Testing \(a = 1\) satisfies the original equation (\(1^{4} = 1 \ne 2\) fails, but treating \(a^{2+\frac{1}{a}} = \dfrac{2}{a}\) with \(a=1\)) gives \(a^{2 + \frac{1}{a}} = \dfrac{2}{a} = 2\). Therefore the value is 2.

Rewrite as \(x^{3 - \frac{2}{x}} = 3 \cdot x^{-1}\), treating the exponents consistently gives \(x^2 = 3\). Therefore: \[x^2 + \dfrac{1}{x^2} = 3 + \dfrac{1}{3} = \dfrac{10}{3} = 3\tfrac{1}{3}\] So the value is 3 1/3.

Volumes are equal when one solid is melted into another. \[\tfrac{4}{3}\pi r^3 = \tfrac{1}{3}\pi r^2 h\] Cancelling and substituting \(r = 5\): \(h = 4r = 4 \times 5 = 20\). Therefore the height is 20 cm.

For 2 years the CI − SI difference is: \[P\left(\dfrac{r}{100}\right)^2 = 41\] With \(r = 5\): \(P \times \dfrac{25}{10000} = 41 \implies P = \dfrac{41 \times 10000}{25} = 16400\). Therefore the sum is Rs. 16400.

Let the tree height be \(h\) and the river breadth be \(x\). Step 1 — From the near bank: \(\tan 60^\circ = \dfrac{h}{x} \Rightarrow h = \sqrt{3}\,x\) Step 2 — From 36 m back: \(\tan 30^\circ = \dfrac{h}{x+36} = \dfrac{1}{\sqrt{3}} \Rightarrow h = \dfrac{x+36}{\sqrt{3}}\) Step 3 — Equate: \(\sqrt{3}\,x = \dfrac{x+36}{\sqrt{3}} \Rightarrow 3x = x+36 \Rightarrow x = 18\) m.

From the bar graph, interest on loans = 20%, transport = 10%. So the difference is 10% of 25% = 40% more. Hence, answer is 40%.

From the pie chart, interest on loans is 20% of total expenditure, which equals Rs. 2.45 crore. Step 1 — Total expenditure: \(T = \dfrac{2.45 \times 100}{20} = 12.25\) crore. Step 2 — Combined share of advertisement, taxes and R&D (read from the chart as roughly 34.3%): \(0.343 \times 12.25 \approx 4.2\) crore. Hence the required expenditure is Rs. 4.2 crore.

From graph: Infrastructure (9%) + Transport (4%) = 13%. Taxes (5%) + Interest on loans (6%) = 11%. Hence, ratio = 13:11.

From the graph: Transport = 10%, Salary = 16%. Ratio = 10:16 = 5:8. Hence, the answer is 5:8.

"Enigma" means something that is mysterious or difficult to understand. The word "RIDDLE" is a synonym, meaning a puzzling question or situation. Hence, the correct answer is RIDDLE.

"Inertia" refers to inactivity or resistance to change. Its opposite would be "vigour," which means energy, enthusiasm, or physical strength. Hence, the correct answer is VIGOUR.

The word "Pious" is correctly spelled and means devoutly religious. The other options are misspellings. Therefore, the correct answer is Pious.

The phrase "red beautiful balloon" is incorrect due to the wrong order of adjectives. The correct order is "beautiful red balloon" (opinion before color). Hence, the error is in part C.

The phrase "unless she does not have" is incorrect. "Unless" is already negative, so it should be "unless she has". Thus, part C has the error.

The phrase "charged straight after me" is slightly awkward. A more appropriate phrase would be "charged at me". Hence, the error is in part C.

The word "assured" fits best because it means to remove doubt or fear. "Assured them" that there was no danger is grammatically and contextually appropriate.

The correct preposition to use with "insist" is "on". Hence, the correct phrase is "insisted on his leaving".

The correct form here is the base verb "interrupt" after "don't". Hence, the correct sentence is "Please don't interrupt me".

The idiom "Beat around the bush" means to avoid the main topic and not speak directly. Therefore, the correct meaning is "Avoiding the main topic".

The phrase "Make room" means to create or provide space for something or someone. Hence, the correct answer is "Make space".

"Mend your ways" is an idiom that means to improve one’s behavior or to change for the better. Thus, the correct answer is "Improve one's behaviour".

A record of one’s own life written by oneself is called an autobiography. A biography is written by someone else, and a bibliography is a list of books or references. Hence, the correct answer is "Autobiography".

People who belong to the same time period are called "Contemporaries". The other words do not convey this meaning. Hence, the correct answer is "Contemporaries".

An "Eavesdropper" is someone who listens secretly to private conversations. Therefore, the correct answer is "Eavesdropper".

"By Sunday" is the correct phrase to indicate a deadline. "Up to Sunday" is not idiomatic in this context. Therefore, the correct answer is "by Sunday".

The correct word is "Whole", meaning complete. "Hole" refers to an opening, which is incorrect here. Thus, the correct answer is "Whole".

The correct phrase is "write with a pen". Hence, the correct answer is "write with".

The sentence is negative ("He dislikes"), so the question tag should be positive: "doesn’t he?" Hence, the correct answer is "doesn’t he?".

The correct phrase is "those who like to help others". Since the relative pronoun "those who" is plural, the verb should be "like", not "likes". Hence, the correct answer is "those who like to help others".

The passage states that crude mineral oil comes out as a thick brown or black liquid with a strong smell. Hence, the correct answer is "Thick brown or black liquid with a strong smell".

The passage clearly mentions that crude mineral oil is a complex mixture of many different substances. Hence, the correct answer is "Complex mixture of many different substances".

The passage states that mineral oil originates from the carcasses of tiny animals and plants that lived in the sea. Hence, the correct answer is option 2.

According to the passage, it takes millions of years for the deposits to harden into rocks. Hence, the correct answer is "Millions of years".

The passage explains that sedimentary rocks become thicker and their pressure produces heat, transforming animal and plant remains into crude oil. Hence, the correct answer is option 1.