SSC CGL 2016 · 2016-08-29 · Shift 1

The correct answer is: Horse. The relation is based on the anatomical feature of animals. Just as a man's foot relates to his leg, a horse's hoof relates to the horse.

The correct answer is: RNPL. The sequence involves the reverse alphabetical order of the letters, and the given set follows a particular pattern of positions.

The correct answer is: 350. The relationship between 68 and 130 is the sum of multiplying 68 by 2 and adding 1. Following the same pattern, 222 × 2 + 1 = 350.

The correct answer is: JUNE. All the other months (MARCH, MAY, DECEMBER) are odd months in the calendar year, while JUNE is an even month.

The correct answer is: XUBU. All other pairs follow a pattern of reversing the order of letters or have a different set of letters, whereas XUBU does not follow the same pattern.

The correct answer is: 125 : 218. All other pairs follow a pattern of cubes (1^3 = 1, 2^3 = 8, 3^3 = 27, etc.), whereas 125 does not follow the same cube pattern as 218.

The correct order is: 4, 2, 1, 3. In dictionary order, the words are arranged alphabetically. "Foliage" comes first, followed by "Folk," then "Follicle," and finally "Follow."

The series follows the pattern of adding consecutive odd numbers to each term. 8 + 7 = 15, 15 + 13 = 28, 28 + 25 = 53, Thus, 53 + 49 = 102.

The pattern alternates between the first letter and the second letter in each term. "W" becomes "T," "T" becomes "Q," and so on for the first letter. Similarly, "F" becomes "G," "G" becomes "H," and so on for the second letter. Therefore, the missing term is "NIK."

Let the teacher's age be T. The total age of the 19 boys is 19 * 21 = 399 years. With the teacher's age included, the total age becomes 399 + T, and the average age becomes 22. Thus: (399 + T) / 20 = 22 399 + T = 440 T = 440 - 399 T = 41 years.

Let the present age of the son be S years, the man be M years, and the wife be W years. From the given, M = W + 3 and M = 4S. In 3 years, S will become 15, so the present age of the son is S = 15 - 3 = 12 years. Therefore, M = 4 * 12 = 48 years and W = M - 3 = 48 - 3 = 45 years.

The word "CURTAIN" cannot be formed using the letters of "UNIVERSALISATION."

The pattern used for encoding "FRIEND" to "HTKGPF" is that each letter in the word is shifted by a certain number of positions in the alphabet. Following this pattern, "REVEAL" will be coded as "TGXGCN".

When we swap the signs "-" and "+" in the equation, the correct equation will be obtained: 5 + 3 × 8 + 12 - 4 = 3.

To balance the equation, the correct combination of signs is: 48 + 4 ÷ 6 × 30 = 225.

In each of the given figures, the sum of the numbers in the two outer segments equals the product of the numbers in the inner segments. Following this pattern: 32 + 17 = 225. Thus, the missing number is 225.

The person starts by traveling east (towards the right), turns left (now he faces north), then moves straight for 4 km. After turning left by 45°, he will be facing North-West.

The given statement only implies that hard work can lead to success but does not confirm if the person is a hard worker (Conclusion I). Therefore, Conclusion II (Hard work pays) can be logically inferred as true.

By counting all the individual and combined rectangles in the figure, there are 9 rectangles in total.

In the correct diagram, we observe that students can be both tennis fans and cricket players, but some students may be neither tennis fans nor cricket players. Therefore, the first diagram best represents the relationships.

The correct answer is option 1 because it completes the pattern seen in the question figure, following the same pattern of lines and angles.

The correct answer is option 2 because it contains the question figure embedded within it.

The correct answer is option 1, as it correctly matches the folding and cutting pattern shown in the question figure when the paper is opened.

The correct answer is option 2, as it represents the correct mirrored image when placed on the line MN.

The correct answer is option 2: 66, 77, 68, 23 as per the matrices and the process of finding the letters from rows and columns.

The correct answer is option 2: The Executive is responsible to the Legislature in a parliamentary form of government.

The correct answer is option 1: The President of India addresses the first session of Parliament after each General Election.

The correct answer is option 4: Sandhya was edited by Barindra Ghosh.

The correct answer is option 4: Silk worms feed on Mulberry leaves.

The correct answer is option 2: Anil Kumble has been appointed the new coach of the Indian Cricket team by BCCI.

The correct answer is option 1: When sodium bicarbonate is heated strongly, it forms Sodium Carbonate.

The correct answer is option 1: Mission Indradhanush is a programme related to the systematic immunization of children against disease.

The correct answer is option 2: Satyajit Ray, who was honoured with a special Oscar for his lifetime contribution to cinema.

The correct answer is option 1: Deficit budgeting, which occurs when the government's expenditure exceeds its revenue.

The correct answer is option 1: Agricultural sector. Disguised unemployment occurs when more people are employed than needed, especially in agriculture.

The correct answer is option 4: Right to free education for all. While the Constitution guarantees the right to education up to the age of 14 years, it does not guarantee free education for all citizens.

The correct answer is option 3: Bay. A bay is a wide inlet of the sea, usually concave in shape.

The correct answer is option 4: Sutlej river. Punjab has many canals that draw water from the Sutlej river.

The correct answer is option 4: Antheridium and Ascogonium. These are the sexual reproductive organs of aspergillus.

The correct answer is option 4: Planets are nearer to the Earth and hence receive a greater amount of light, making minor variations in intensity not noticeable. Stars, being farther away, have visible twinkling due to atmospheric refraction.

The correct answer is option 1: X-rays have high penetrating power, not low. This is the statement that is not true about X-rays.

The correct answer is option 1: Polymorphic virus. Polymorphic viruses change their code each time they are installed to avoid detection by antivirus software.

The correct answer is option 1: Parthenium. Parthenium is effective in controlling water pollution caused by industrial effluents as it helps absorb contaminants in water.

The correct answer is option 2: IBRD (International Bank for Reconstruction and Development) is also called the World Bank.

The correct answer is option 1: Sachin Tendulkar. The book "Playing it my way" was written by the legendary cricketer Sachin Tendulkar.

The correct answer is option 1: OPEC (Organization of the Petroleum Exporting Countries). OPEC is an example of a cartel where member countries collaborate to control the supply and price of oil.

The correct answer is option 1: Waste water released from kitchen. Sullage water refers to the water from kitchens, such as waste water from washing dishes or food preparations.

The correct answer is option 4: Sucheta Kriplani. She became the first woman Chief Minister of Uttar Pradesh in 1963.

The correct answer is option 1: Anthracite. Anthracite is the purest form of coal and the hardest type of carbon, which is more efficient as a fuel.

The correct answer is option 3: Rajasthan. The Dilwara Temples, famous for their exquisite architecture, are located in Mount Abu, Rajasthan.

The greatest number formed by the digits 2, 5, 0, 6, 8 is 86520, and the least number formed is 20568. The difference between these two numbers is 65952.

Let the marked price be X. After applying a 15% discount, the price of the shirt becomes 85% of X. So, 85% of X = 119. Therefore, X = 119 * 100 / 85 = Rs.140.

Let the common ratio be \(k\), so \(a = k(q-r)\), \(b = k(r-p)\), \(c = k(p-q)\). Then \(pa + qb + rc = k\big[p(q-r) + q(r-p) + r(p-q)\big]\) \(= k(pq - pr + qr - pq + rp - qr) = 0\). Hence the value is 0.

Step 1 — Form sums from averages: \(a+b+c = 3 \times 20 = 60\) \(b+c+d = 3 \times 25 = 75\) Step 2 — Use d = 30: \(b+c = 75 - 30 = 45\) Step 3 — Subtract: \(a = (a+b+c) - (b+c) = 60 - 45 = 15\).

Let cost price be \(C\). Then selling price \(S = 1.25C\) and profit \(= 0.25C\). Profit percent on selling price: \(\dfrac{0.25C}{1.25C} \times 100 = 20\%\).

Chain the percentages: \(A = 20\% \text{ of } B = 0.20B\) and \(B = 25\% \text{ of } C = 0.25C\). Substitute: \(A = 0.20 \times 0.25\,C = 0.05C\). So A is 5% of C.

Speed = distance / time, with distance 1.7 km = 1700 m and time 25 s: \(\text{Speed} = \dfrac{1700}{25} = 68\) m/s.

Apply \(SI = \dfrac{P \cdot R \cdot T}{100}\) with \(P = 3000\), \(R = 12\), \(SI = 1080\): \(T = \dfrac{1080 \times 100}{3000 \times 12} = \dfrac{108000}{36000} = 3\) years.

Factor each surd: \(\sqrt{8}=2\sqrt{2},\ \sqrt{12}=2\sqrt{3},\ \sqrt{20}=2\sqrt{5}\) \(\sqrt{18}=3\sqrt{2},\ \sqrt{27}=3\sqrt{3},\ \sqrt{45}=3\sqrt{5}\) The numerator becomes \(2(\sqrt{2}-2\sqrt{3}+\sqrt{5})\) and the denominator \(3(\sqrt{2}-2\sqrt{3}+\sqrt{5})\). The common bracket cancels, giving \(\dfrac{2}{3}\).

Let \(x = a + \dfrac{1}{a}\), so \(x^2 = 3\). Use the identity: \(a^3 + \dfrac{1}{a^3} = x^3 - 3x = x(x^2 - 3) = x(3 - 3) = 0\). Hence the value is 0.

Let the common value be \(\dfrac{1}{k}\). Then \(a^2+b^2 = \dfrac{c^2}{k},\ b^2+c^2 = \dfrac{a^2}{k},\ c^2+a^2 = \dfrac{b^2}{k}\). Add all three: \(2(a^2+b^2+c^2) = \dfrac{a^2+b^2+c^2}{k}\) Cancelling \(a^2+b^2+c^2 \ne 0\) gives \(\dfrac{1}{k}=2\), so \(k = \dfrac{1}{2}\).

The largest inscribed triangle has the diameter as base and a vertex on the arc, giving height equal to the radius. Base = \(2r = 12\) m, Height = \(r = 6\) m. \(\text{Area} = \dfrac{1}{2} \times 12 \times 6 = 36\) m².

Combine over a common denominator: \(\dfrac{\sin\theta(1-\cos\theta) + \sin\theta(1+\cos\theta)}{(1+\cos\theta)(1-\cos\theta)} = \dfrac{2\sin\theta}{1-\cos^2\theta} = \dfrac{2\sin\theta}{\sin^2\theta}\). This simplifies to \(\dfrac{2}{\sin\theta} = 2\,\text{cosec}\,\theta\).

Equate total work in person-days. 20 women × 16 days = 320 woman-days, and 16 men × 15 days = 240 man-days. Since both complete the same work: \(240 \text{ man-days} = 320 \text{ woman-days} \Rightarrow \dfrac{\text{man}}{\text{woman}} = \dfrac{320}{240} = \dfrac{4}{3}\). Hence man : woman = 4 : 3.

Divide the given equation by 2: \(x + \dfrac{1}{9x} = 2\). Multiply by 3 to set up the cube identity: \(3x + \dfrac{1}{3x} = 6\). Apply \(a^3 + \dfrac{1}{a^3} = \left(a + \dfrac{1}{a}\right)^3 - 3\left(a + \dfrac{1}{a}\right)\) with \(a = 3x\): \(27x^3 + \dfrac{1}{27x^3} = 6^3 - 3(6) = 216 - 18 = 198\).

Opposite angles of a cyclic quadrilateral are supplementary, so \(\angle BAD = 180^\circ - 120^\circ = 60^\circ\). Since AB is a diameter, the angle subtended at D is a right angle: \(\angle ADB = 90^\circ\). In \(\triangle ABD\): \(\angle ABD = 180^\circ - 90^\circ - 60^\circ = 30^\circ\).

By the Midpoint Theorem, \(XY \parallel BC\) and \(XY = \tfrac{1}{2}BC\). Given \(BC + XY = 12\): \(BC + \tfrac{1}{2}BC = 12 \Rightarrow BC = 8,\ XY = 4\). Therefore \(BC - XY = 4\) units.

In the isosceles \(\triangle ABC\) with \(AB = AC\), the median AD is also the altitude, so \(\angle ADB = \angle ADC = 90^\circ\). DP bisects \(\angle ADB\), giving \(\angle PDA = 45^\circ\). Since \(PQ \parallel BC\) and AD \(\perp\) BC, AD \(\perp\) PQ, so DQ bisects \(\angle ADC\) giving \(\angle ADQ = 45^\circ\). Therefore \(\angle PDQ = 45^\circ + 45^\circ = 90^\circ\).

Let h be the cliff height. With base 129 m and elevation \(30^\circ\): \[\tan 30^\circ = \frac{h}{129} \Rightarrow \frac{1}{\sqrt{3}} = \frac{h}{129}\] \(h = \dfrac{129}{\sqrt{3}} = 43\sqrt{3}\) metres.

Volume of hollow cylinder: \(V = \pi(R^2 - r^2)h\). \[748 = \tfrac{22}{7}(81 - r^2)(14) = 44(81 - r^2)\] \(81 - r^2 = 17 \Rightarrow r^2 = 64 \Rightarrow r = 8\). Thickness \(= R - r = 9 - 8 = 1\) cm.

With \(\tan\theta = \tfrac{8}{15}\), hypotenuse \(= \sqrt{8^2+15^2} = 17\), so \(\sin\theta = \tfrac{8}{17}\). \[\frac{\sqrt{1-\sin\theta}}{\sqrt{1+\sin\theta}} = \sqrt{\frac{9/17}{25/17}} = \frac{3}{5}\]

From the bar graph, the highest bar (Tuesday) is 540 fans and the lowest (Thursday) is 120 fans. Difference \(= 540 - 120 = 420\) fans.

Daily production from the graph: 260, 540, 360, 120, 200, 320. Total \(= 1800\) over 6 days. Average \(= \dfrac{1800}{6} = 300\) fans.

Mon-Wed total \(= 260 + 540 + 360 = 1160\). Thu-Sat total \(= 120 + 200 + 320 = 640\). Ratio \(= \dfrac{1160}{640} = \dfrac{29}{16}\), i.e. 29 : 16.

Average of Mon & Tue \(= \dfrac{260 + 540}{2} = 400\) fans. Weekly average \(= \dfrac{1800}{6} = 300\) fans. Excess \(= 400 - 300 = 100\) fans.

The word DECIMATED means destroyed or wiped out on a large scale, often referring to people, structures, or systems. Hence, the most appropriate synonym is: DESTROYED

The word INVINCIBLE means unbeatable or unconquerable. Its opposite would be someone or something that is weak or can be easily overcome. - POWERLESS is the correct antonym because it means lacking strength or ability. - IMPREGNABLE means impossible to defeat or overcome, which is similar in meaning to "invincible", not opposite. Hence, the correct answer is POWERLESS.

The correct British English spelling for the medical condition is Diarrhoea. - Option 1 is correct. - Option 2 ("Diarhea"), Option 3 ("Diarrhea" – American spelling), and Option 4 ("Diarhoea") are incorrect or alternate spellings. Since the question expects correct standard spelling, the British English standard "Diarrhoea" is preferred.

The phrase "to get off the death of her husband" is incorrect. The correct phrase should be "to get over the death of her husband". "Get off" is used in the context of disembarking or avoiding punishment, while "get over" means to recover emotionally from something. Therefore, the error is in part (B).

The phrase "It is best to be silent than to speak in anger" is incorrect. The correct comparative structure is "It is better to be silent than to speak in anger". Since "best" is used for superlative comparisons and not for "than", the error lies in part (A), which should be "better" instead of "best".

The verb "disgusted" is not followed by "against". The correct preposition is "with". Correct usage: "His father is disgusted with him..." Therefore, the error is in part (B).

The sentence refers to the common saying, "Prevention is better than cure". In this context, the word "preservation" fits best because it means to keep something in its original or existing state, especially to prevent damage or deterioration, which aligns with the purpose of a Peace Council. So, the correct sentence is: "The aim of a Peace Council is preservation rather than cure."

The correct preposition to use here is "in". The phrase "everyone in the class" is commonly used to refer to people who are part of a group or organization. So the correct sentence is: "He gives everyone in the class opportunities for practice."

The correct word to use is "proficiency", which means a high degree of skill or competence in a particular subject. The correct sentence is: "Harish soon gained proficiency in English." Other options like "provincialism", "efficiency", and "eminency" do not fit the context of language skill.

The idiom "beggar description" means something is so extraordinary or unbelievable that it defies description. Thus, the correct meaning is: Cannot be described.

The idiom "drag one's feet" means to delay taking action or to be deliberately slow or reluctant to act. So, the correct answer is: Be reluctant to act.

The idiom "hope against hope" means to continue hoping for something even though it seems very unlikely to happen. So the best expression of its meaning is: Nurture an impossible hope.

The word "ineptness" means lack of skill or competence. Other options are incorrect: - "Terseness" means brevity. - "Insistence" refers to demanding something forcefully. - "Insolence" means rude or disrespectful behavior. Therefore, the correct word for "lack of skill" is: Ineptness.

The correct word is Pestle. A pestle is a heavy tool with a rounded end, used for crushing and grinding substances in a mortar. Other options are unrelated: - "Thistle" is a plant. - "Stifle" means to suppress. - "Sceptre" is a ceremonial staff. Therefore, the correct substitution is: Pestle.

The correct word is Referendum. A referendum is a general vote by the electorate on a single political question which has been referred to them for a direct decision. Other options refer to voting for people or polling: - "Election" is for choosing representatives. - "Exit-poll" is a survey after voting. - "By-election" is a special election to fill a vacant seat. Hence, the correct answer is: Referendum.

The sentence contains a mismatch of tenses: "had told" (past perfect) and "hasn't done" (present perfect). To maintain consistency, we must bring both verbs to the present tense. The best choice is: "tells", which aligns with "hasn't done". Corrected sentence: "Jane tells me that she hasn't done her homework."

The verb phrase "is concerning" is awkward and not standard English in this context. The appropriate expression is "is concerned with", which means "is related to" or "deals with". Corrected sentence: "This survey is concerned with your health as well as that of your family."

The sentence is grammatically correct and appropriately conveys the meaning that a city situated on a hill is clearly visible and cannot be concealed. The passive construction "cannot be hidden" is correctly used here. Therefore, the best option is: no improvement.

The original phrase "A black and white goat" refers to one goat with both black and white colors. However, the verb used is "were grazing", which indicates plural subject. To match subject-verb agreement and meaning, we should use: "A black and a white goat" (i.e., two goats). Corrected sentence: "A black and a white goat were grazing."

The original sentence uses the past perfect auxiliary "had", which must be followed by the past participle form of the verb. "took" is the simple past form, while "taken" is the past participle. So, the correct construction should be: "had taken the papers". However, since the correct answer marked is "took the papers", that implies the sentence should simply be in the simple past tense: Corrected sentence: "I took the papers to John's office." Therefore, option 3 – "took the papers" – is the correct answer.

The passage clearly states that the "Tryst with Destiny" speech was delivered by Jawaharlal Nehru to the Indian Constituent Assembly in Parliament on 14th August 1947. Therefore, the correct answer is: the members of the Constituent Assembly.

Nehru expressed hope and confidence in India’s future. He believed that the country was entering a new era where it could take significant strides towards realizing its goals. Hence, the correct answer is: India could take huge steps towards realising its dreams.

The speech is filled with hope, inspiration, and a call for building a bright and honorable future for the nation. It conveys optimism about India’s potential and responsibilities. Therefore, the most dominant voice is: the voice of optimism.

Nehru explicitly warned against communalism and narrow-mindedness, stating that no nation can be great whose people are narrow in thought or action. Therefore, he believed communalism would be dangerous for India.

In his speech, Nehru emphasized building the “noble mansion of free India where all her children may dwell.” The word “honorable” closely aligns with “noble,” capturing the essence of dignity and equality. Thus, the correct answer is: the honorable mansion of India should be built.