SSC CGL 2017 · 2017-08-20 · Shift 3

The relation in the first pair is halving: \(12.5 \div 2 = 6.25\). Applying the same rule to 7: \(7 \div 2 = 3.5\). Therefore the missing term is 3.5.

The relation is Object : its characteristic colour. Cotton is typically white. Applying the same relation to Coal, its characteristic colour is Black. Fire, mine and wood describe a use, source or alternative fuel none of which is a colour so they fail the analogy.

Letters available in LATCHING: L, A, T, C, H, I, N, G (no E). THING (T,H,I,N,G), CHAIN (C,H,A,I,N) and CLING (C,L,I,N,G) use only letters from this set. CHEAT requires the letter E, which is not present in LATCHING, so it cannot be formed.

Each term is three consecutive alphabet letters, alternating ascending and descending: CDE (asc), IHG (desc), KLM (asc), QPO (desc), STU (asc). So the next term must be descending. The first letters are C(3), I(9), K(11), Q(17), S(19) with gaps +6, +2, +6, +2. The next gap is +6, giving 19 + 6 = 25 = Y. Writing three letters descending from Y: YXW.

Each letter of BOULDER is shifted back by 2 positions, with wrap-around (B→Z, O→M, U→S, L→J, D→B, E→C, R→P). Applying the same shift to ELK: E(5)→C(3), L(12)→J(10), K(11)→I(9). Hence ELK is coded as CJI.

Compare letter counts and structure: Money(5), Amity(5), Camera(6), Animal(6), Telomere(8) the word lengths come in pairs, so the next word should also have 8 letters. Among the options only Talisman (8 letters) matches; Litmus (6), Matter (6) and Shame (5) do not. Talisman also shares three letters (T, L, M) with Telomere, extending the count of shared letters between consecutive words (2, 2, 3, 2, 3). Hence the answer is Talisman.

Check the gap pattern between consecutive letters of each triplet: PNM: P(16)→N(14)→M(13), gaps \(-2, -1\). KIH: K(11)→I(9)→H(8), gaps \(-2, -1\). FDC: F(6)→D(4)→C(3), gaps \(-2, -1\). UTS: U(21)→T(20)→S(19), gaps \(-1, -1\). Three triplets follow the \(-2, -1\) rule; UTS is the odd one out.

List all distinct subset sums of {40, 50, 80, 90}, choosing each box at most once: 40, 50, 80, 90, 90 (40+50), 120 (40+80), 130 (40+90 or 50+80), 140 (50+90), 170 (80+90 or 40+50+80), 180 (40+50+90), 210 (40+80+90), 220 (50+80+90), 260 (all four). From the options, 170, 180 and 260 appear in this list, but 200 does not. Hence 200 kg cannot be formed.

Take the start as origin with East = +x, North = +y. Step 1 — 100 km West: position \((-100,\,0)\). Step 2 — 150 km South: position \((-100,\,-150)\). Step 3 — 300 km West: position \((-400,\,-150)\). Step 4 — right turn while heading West means North; fly 150 km: position \((-400,\,0)\). The plane is \(400\) km west of start with zero N–S offset, so it is 400 km West.

Count days from 14 March to 13 September in the same year: March remainder \(31-14=17\), April 30, May 31, June 30, July 31, August 31, September 13. Total = \(17+30+31+30+31+31+13 = 183\) days. Odd days: \(183 \bmod 7 = 1\) (since \(183 = 26\times 7 + 1\)). One day after Tuesday is Wednesday.

In the complete part, the two semi-circles are facing each other, whereas in the missing part the two semicircles will be opposite to each other. Also a triangle inscribed will complete the missing picture. Thus option 4 is the correct answer.

Circle represents Indians. Square represents Runners. Thus, the set of letters represents Indians who are runners is A. D. Thus, the correct answer is A, D.

When the piece of paper is folded in the direction of arrows mentioned. So, when it is opened, the base end of the triangle type image will be facing away from each other and the pointed end of the triangle will be facing towards each other. Thus, the correct answer is option 2.

Apple, Mango and Orange are all fleshy fruits. Almond is consumed as a nut/seed kernel, not a fleshy fruit, so it does not share the common attribute. Hence Almond is the odd one out.

Option 4 cannot be made, as the circle face and the line face cannot be adjacent to each other. Hence, answer is option 4.

Decode the operators: ÷ → −, + → ×, − → +. The expression becomes: \[56 - 8 \times 12 + 72\] Apply BODMAS multiplication first: \(8 \times 12 = 96\), giving \(56 - 96 + 72\). Left to right: \(56 - 96 = -40\), then \(-40 + 72 = 32\). Therefore the answer is 32.

6#30 = 5 = 30 ÷ 6 = 5 8#24 = 3 = 24 ÷ 8 = 3 7#28 = 4 = 28 ÷ 7 = 4 8#40 = 40 ÷ 8 = 5 Thus, 5 is the correct answer.

The mirror when placed on the line MN, the lines on the left will appear on the right and on the right will appear on the left. The right vertical line will appear on the left and the right diagonal line will also appear on the left. Thus, the correct answer is option 2.

Encode each letter of PERK using row-then-column from the matrices. P appears only in Matrix-II at (9,5) → 95. E appears in Matrix-I at (0,3) and (4,1) → codes 03 or 41. R appears only in Matrix-II at (5,7) → 57. K appears in Matrix-I at (1,0) and (2,2) → codes 10 or 22. The set 95, 41, 57, 22 fits P–E–R–K exactly, matching option 2.

Check divisibility by 3 (sum of digits rule): \(21 = 3 \times 7\), \(39 = 3 \times 13\), \(51 = 3 \times 17\) — all multiples of 3. \(65 = 5 \times 13\), with digit sum \(6+5=11\), not divisible by 3. Hence 65 is the odd one out.

In each row, column 1 − column 2 = column 3. Row 1: \(134 - 34 = 100\). Row 2: \(117 - 86 = 31\). Row 3: \(87 - ? = 64 \implies ? = 87 - 64 = 23\). Therefore the missing number is 23.

Thus, the question figure is hidden/embedded in option number 4.

Compare alphabetical positions of WVT (23, 22, 20) with SRP (19, 18, 16). Each letter shifts back by 4. Apply the same −4 shift to MLJ (13, 12, 10): positions become 9, 8, 6, giving I, H, F. Hence the answer is IHF.

Let Dawn = D, Day = Y, Night = N. Statement 1: all D are Y. Statement 2: no Y is N. Conclusion I (No night is a day): “No Y is N” converts to “No N is Y”. Follows. Conclusion II (Some dawn are night): All D lie inside Y, and Y is disjoint from N, so D is disjoint from N. “Some D are N” cannot follow. Hence only Conclusion I follows.

Each term is the previous term multiplied by 3 (geometric progression, ratio 3): \(6 \times 3 = 18,\ 18 \times 3 = 54,\ 54 \times 3 = 162,\ 162 \times 3 = 486,\ 486 \times 3 = 1458\). The missing term is 162.

The correct answer is the Sukanya Samriddhi Account. Inaugurated in 2015, the Sukanya Samriddhi Yojana is a small deposit scheme of the Government of India designed specifically for a girl child. It was launched as part of the 'Beti Bachao, Beti Padhao' (Save the Daughter, Educate the Daughter) campaign. Administered by the Ministry of Women and Child Development, the scheme aims to cover the education and marriage expenses of a girl child.

The heat-producing coil in an electric room or cooking heater is called the heating element. It is made of a high-resistance alloy (typically nichrome) wound into a coil; current through it generates heat via Joule heating, \(H = I^2 R t\). A “filament” refers to the thin wire in incandescent bulbs (designed to glow as light), while a “circuit” is the whole current path and “cells” are energy sources, not heaters.

In 1916, persuaded by Rajkumar Shukla, Mahatma Gandhi travelled to Champaran in Bihar to investigate the plight of indigo cultivators under the oppressive tinkathia plantation system. This led to the Champaran Satyagraha (1917), his first major civil-disobedience campaign in India. Dandi is linked to the 1930 Salt March; Sabarmati is the site of his ashram; Chauri Chaura saw the 1922 violence that ended the Non-Cooperation Movement.

India's total geographical area is about 3.28 million sq km (precisely 3,287,263 sq km), making it the seventh-largest country in the world and covering roughly 2.4% of the global land area.

Under the Seventh Schedule of the Indian Constitution, “Betting and gambling” appears as Entry 34 of the State List, giving State Legislatures exclusive power to legislate on it. The Union List covers national subjects (defence, railways), the Concurrent List covers shared subjects (criminal law, education); there is no “Global” list.

Charles Babbage, a 19th-century English mathematician, designed the first mechanical computers — the Difference Engine (an automatic calculator) and the Analytical Engine, which featured an arithmetic “mill”, memory “store”, conditional branching and punched-card programming. These designs became the prototype for modern computers, earning him the title “father of the computer”. Archimedes built mechanical devices but no computer; John Harrison invented the marine chronometer; Cai Lun is credited with inventing paper.

The 2016 Nobel Prize in Physiology or Medicine was awarded to Yoshinori Ohsumi of Japan “for his discoveries of mechanisms for autophagy” — the cellular self-degradation and recycling process he mapped using yeast genetics. Thouless and Kosterlitz shared the 2016 Physics Nobel (topological phases); Fraser Stoddart shared the 2016 Chemistry Nobel (molecular machines).

Seawater contains about 3.5% dissolved salts, mainly sodium chloride (NaCl). In shallow salt pans, sunlight and wind evaporate the water while the non-volatile salts stay behind and crystallise — this is how common salt is harvested commercially. Sugar comes from plants, iron from ores, and steel is a manufactured iron-carbon alloy — none is produced by evaporating seawater.

The Palk Strait and the Gulf of Mannar lie between the southeastern coast of Tamil Nadu and the northwestern coast of Sri Lanka, forming the narrow sea channel that separates the two countries. Myanmar, Bangladesh and Pakistan share land borders with India and are not bounded by these water bodies.

The Kosi rises in the eastern Nepal Himalayas (formed by the Sun Kosi, Arun and Tamur) and flows south into Bihar, where it joins the Ganga — making it a major Himalayan left-bank tributary of the Ganges. The Jhelum, Chenab and Ravi all belong to the Indus river system and originate in India (Kashmir / Himachal Pradesh), not Nepal.

Open Source software is distributed with its source code under a licence that allows anyone to view, modify, customise, and redistribute it freely. Examples include Linux, Mozilla Firefox, and LibreOffice. "Free Source", "Easy Source", and "Unpaid Source" are not recognised software-licensing terms.

Statement 1 is incorrect — 'A Foreign Policy for India' was written by former PM I.K. Gujral, not L.K. Advani. Statement 2 is correct — 'Wings of Fire' is the autobiography of Dr. A.P.J. Abdul Kalam, co-authored with Arun Tiwari. Statement 3 is correct — 'Open' (2009) is the autobiography of American tennis great Andre Agassi. Hence only 2 and 3 are correct.

Mahatma Gandhi returned to India on 9 January 1915 from South Africa, where he had lived since 1893 and developed the philosophy of Satyagraha. The day is now observed as Pravasi Bharatiya Divas. He had earlier returned from England (after legal studies) in 1891, well before 1915. He had no significant stay in the USA or Russia.

At the Rio 2016 Olympics, India won two medals — a silver by P.V. Sindhu in badminton (women's singles) and a bronze by Sakshi Malik in wrestling (women's 58 kg freestyle). Sakshi's bronze was the first-ever Olympic medal for an Indian woman wrestler. India won no medals in boxing or hockey at Rio 2016.

Per SIPRI's 2016 report, the top five military spenders were USA (\(\$611.2\) bn), China (\(\$215.7\) bn), Russia (\(\$69.2\) bn), Saudi Arabia (\(\$63.7\) bn) and India (\(\$55.9\) bn). With spending of \(\$55.9\) billion, India became the world's fifth-largest military spender in 2016.

The Ajanta and Ellora caves are rock-cut cave complexes located near Aurangabad in Maharashtra. Both are UNESCO World Heritage Sites. Ajanta (2nd century BCE–480 CE) features Buddhist murals and sculptures; Ellora (600–1000 CE) contains Buddhist, Hindu, and Jain monuments, including the monolithic Kailasa Temple.

In the taxonomic hierarchy (Species → Genus → Family → Order → Class → Phylum → Kingdom), each rank is an assemblage of the rank below it. An Order is the category immediately above Family — it groups together related families sharing a few similar characters. Genus and Species are lower than Family, and Class is an assemblage of Orders, not Families.

A firm maximises profit where \(MR = MC\). With zero or only fixed costs, marginal cost \(MC = 0\), so equilibrium output is set where \(MR = 0\) — the quantity that maximises total revenue. This applies to a Monopoly, which faces a downward-sloping demand curve and a distinct MR curve. Under perfect competition, MR equals price and never falls to zero except at zero price, so the condition is not meaningful there.

When two fusing gametes differ in size, sexual reproduction is called anisogamous (aniso = unequal). Isogamous involves morphologically similar gametes; oogamous is a special case where the female gamete is large and non-motile and the male small and motile; zoospores are asexual motile spores, not gametes. "Anisogamous" is the general term the question asks for.

A conducting liquid (electrolyte) contains free ions. When current passes through it, cations migrate to the cathode and anions to the anode, where they gain or lose electrons. This produces new substances — a chemical reaction known as electrolysis (e.g., electrolysis of water yields H2 and O2). Galvanisation is a specific application of electrolysis; evaporation is a secondary thermal effect, not the primary chemical effect.

The short-run marginal cost (SRMC) curve is U-shaped due to the Law of Variable Proportions. Initially, as variable input is added to fixed factors, marginal product rises and MC falls. Beyond a point, diminishing marginal returns set in, marginal product falls and MC rises. This fall-then-rise pattern produces the characteristic U shape.

West Bengal sends 42 members to the Lok Sabha, making it the third-largest contributor of seats after Uttar Pradesh (80) and Maharashtra (48). It also has 16 Rajya Sabha seats. The options 2, 14, and 40 do not match the constituency allocation for West Bengal.

Animals are classified by body-cavity status: coelomates (true coelom fully lined by mesoderm), pseudocoelomates (cavity not fully lined by mesoderm) and acoelomates (no body cavity). Animals lacking a body cavity — the space between gut and body wall being filled with mesodermal parenchyma — are called Acoelomates. Flatworms (Platyhelminthes) are the classic example.

In population ecology, emigration denotes individuals leaving a habitat to settle elsewhere during the period considered, reducing the source population. Natality is the birth rate (adds individuals), mortality is the death rate (removes individuals locally), and immigration is movement into the habitat. Only emigration describes outward movement.

Newton's Second Law states \(F = ma\), which rearranges to \(a = \dfrac{F}{m}\). For a given (constant) force, acceleration varies inversely with mass — heavier objects accelerate less for the same applied force. Density and volume do not appear in the law, and the question fixes the force, so the answer is mass.

Let the three numbers be \(n_1, n_2, n_3\) with average 40, so \(n_1+n_2+n_3=120\). Given \(n_1=\tfrac{1}{3}(n_2+n_3)\), i.e. \(n_2+n_3=3n_1\). Substituting: \(n_1+3n_1=120 \Rightarrow 4n_1=120 \Rightarrow n_1=30\). The first number is 30.

Failing by 13 marks with a score of 67 means the passing mark is \(67+13=80\). Since 40% of the maximum marks equals the passing mark: \[0.40 \times M = 80 \Rightarrow M=\frac{80}{0.40}=200\] Therefore the maximum marks are 200.

Starting from \(-\tfrac{1}{2}(x-5)+3=-\tfrac{5}{2}\), subtract 3 from both sides: \[-\tfrac{1}{2}(x-5)=-\tfrac{5}{2}-3=-\tfrac{11}{2}\] Multiply both sides by \(-2\): \[x-5=11 \Rightarrow x=16\] So x = 16.

Discount amount = MP − SP = \(5000-4400=600\). Discount % is computed on the marked price: \[\text{Discount \%}=\frac{600}{5000}\times 100=12\%\] Hence the shopkeeper offers a 12% discount.

Write the product as \((10000-3)(10000+3)\) and apply the difference-of-squares identity \((a-b)(a+b)=a^2-b^2\): \[9997\times 10003=10000^2-3^2=100000000-9=99999991\] So the answer is 99999991.

With first term \(a=-10\), last term \(l=26\), and \(n=13\), use: \[S_n=\frac{n}{2}(a+l)=\frac{13}{2}(-10+26)=\frac{13}{2}\times 16=13\times 8=104\] The sum is 104.

A's one-day work is \(\tfrac{1}{36}\) and B's is \(\tfrac{1}{12}\). Combined rate: \[\frac{1}{36}+\frac{1}{12}=\frac{1+3}{36}=\frac{4}{36}=\frac{1}{9}\] Time together = reciprocal of the combined rate = 9 days.

Let T divide SU in ratio \(k:1\) with S\((-4,-1)\) and U\((1,4)\). The y-coordinate of T is 0, so by the section formula: \[0=\frac{k(4)+1(-1)}{k+1} \Rightarrow 4k-1=0 \Rightarrow k=\tfrac{1}{4}\] Hence the ratio is \(\tfrac{1}{4}:1\), i.e. 1 : 4.

Given \(\tan\theta=\tfrac{4}{3}=\tfrac{\text{opposite}}{\text{adjacent}}\), take opposite = 4, adjacent = 3. By Pythagoras: \[\text{hyp}=\sqrt{4^2+3^2}=\sqrt{25}=5\] Therefore \(\sin\theta=\tfrac{4}{5}=\) 0.8 (a 3-4-5 triple).

Let the total expenditure be a Company's expenditure on Interest = a × (10/100) = 0.1a Company's expenditure on rent = a × (5/100) = 0.05a ∴ Required % = [(0.1a - 0.05)/0.05] × 100 = 100%

Given: total expenses of the company = 50 crore Total expenditure (in Rs. crores) on Transport and Electricity = 50 × [15/100 + 25/100] ⇒ 50 × [40/100] ⇒ Rs. 20 crores

The ratio 9 : 11 means the original fare is 9 parts and the new fare is 11 parts, so the increase is \(11-9=2\) parts. One part \(=\tfrac{18000}{9}=2000\). Increase \(=2\times 2000=\) Rs 4000.

All the percentages in decreasing order: 30%, 25%, 15%, 15%, 10%, 5% Here, the second biggest expense is of 25% ∴ Electricity is the one with 25% expense

On the Y-axis the x-coordinate is 0. Substituting \(x=0\) in \(2x-3y=6\): \[-3y=6 \Rightarrow y=-2\] The line meets the Y-axis at (0, −2).

For similar triangles the ratio of areas equals the square of the ratio of corresponding sides: \[\frac{[\Delta ABC]}{[\Delta PQR]}=\left(\frac{AB}{PQ}\right)^2 \Rightarrow \frac{36}{9}=\left(\frac{AB}{4}\right)^2\] So \(\tfrac{AB}{4}=\sqrt{4}=2\), giving AB = 8 cm.

Angles in \(\Delta LMN\) sum to 180°. With \(\angle M=90^\circ\) and \(\angle N=60^\circ\): \[\angle L=180^\circ-90^\circ-60^\circ=30^\circ\] Therefore \(\tan L=\tan 30^\circ=\tfrac{1}{\sqrt{3}}\).

Step 1 — Remaining quantity: 10% of 500 kg = 50 kg spoiled, so usable cotton = \(500-50=450\) kg. Step 2 — Target revenue for 10% profit: \[\text{SP}=9000\times 1.10=9900\] Step 3 — Rate per kg: \[\frac{9900}{450}=22\] The trader must sell at Rs 22/kg.

Let the number be \(x\). The condition "x is 3/4 greater than 58 times its reciprocal" gives: \[x=\frac{58}{x}+\frac{3}{4}\] Multiply by \(4x\): \[4x^2=232+3x \Rightarrow 4x^2-3x-232=0\] Using the quadratic formula with discriminant \(9+4\cdot 4\cdot 232=3721=61^2\): \[x=\frac{3\pm 61}{8}=8 \text{ or } -\tfrac{29}{4}\] Among the options, the integer solution is 8.

Step 1 — Convert speed to m/s: \(1260 \text{ km/h} = 1260 \times \dfrac{5}{18} = 350 \text{ m/s}\) Step 2 — Apply distance = speed × time: \(d = 350 \times \dfrac{1}{10} = 35 \text{ m}\) Therefore the spaceship covers 35 metres in 1/10 second.

Recall the standard values: \(\cot 45^\circ = 1\) and \(\operatorname{cosec} 60^\circ = \dfrac{2}{\sqrt{3}}\). \[\cot 45^\circ + \operatorname{cosec} 60^\circ = 1 + \dfrac{2}{\sqrt{3}} = \dfrac{\sqrt{3}+2}{\sqrt{3}}\] Therefore the value is \(\dfrac{\sqrt{3}+2}{\sqrt{3}}\).

The area of a rhombus equals half the product of its diagonals: \[A = \tfrac{1}{2} d_1 d_2 = \tfrac{1}{2} \times 12 \times 14 = 84 \text{ sq cm}\] Therefore the area is 84 sq cm.

Reflection in the x-axis maps \((x, y) \to (x, -y)\) — the x-coordinate stays, the y-coordinate flips sign. Applying this to \((-0.5, 6)\) gives \((-0.5, -6)\).

Under compound interest, the amount at the end of year 2 acts as the principal for year 3. So the interest accrued in the 3rd year is: \(1926 - 1800 = 126\) Apply rate formula: \[r = \dfrac{126}{1800} \times 100 = 7\%\] Therefore the rate of interest is 7% per annum.

Use the identity \(a^3 - b^3 = (a-b)^3 + 3ab(a-b)\). Substituting \(a-b = 1\) and \(ab = 6\): \[a^3 - b^3 = 1^3 + 3(6)(1) = 1 + 18 = 19\] Therefore \(a^3 - b^3 = \mathbf{19}\).

Let the total expenditure be a Company's expenditure on Raw material = a × (30/100) = 0.3a Company's expenditure on transport = a × (15/100) = 0.15a ∴ Required ratio = 0.3a/0.15a = 2 : 1

The idiom give somebody a ring is informal British English for placing a telephone call (the "ring" refers to the phone's ringtone). It has nothing to do with marriage proposals or trapping someone. Hence the correct meaning is Call someone on the telephone.

Fustian means pompous, bombastic or pretentiously inflated language — the kind of self-important speech an arrogant person uses. Of the options, only Arrogant captures this haughty, self-important quality. Unpretentious and courteous are antonyms; timid is unrelated.

Volatile describes a substance that evaporates readily at ordinary temperatures (e.g. petrol, acetone) — an exact match for the definition. Steadfast and enduring imply permanence, the opposite of evaporating; definite means clearly stated and is unrelated to physical change. Hence Volatile.

Cajole means to persuade someone through coaxing or flattery. Among the options, Entice — to attract or tempt by offering pleasure or advantage — shares the same core idea of winning someone over by gentle persuasion. Disenchant and repulse are antonyms; bully implies coercion, not coaxing.

The idiom leave no stone unturned means to make every possible effort, exploring every avenue, to achieve a goal. It describes the exhaustive nature of the attempt, not the outcome or the search object. Hence the best match is Try every possible course of action in order to achieve something.

The verb meaning "to form a theory" is spelt theorise (British) or theorize (American). The root is theor- (as in theory), followed by the standard verb-forming suffix -ise. The other options misspell either the root (theur-) or the suffix (-is). Hence theorise.

The opening clause ends with "which we" and needs a verb — only Y ("meet within the south of Sicily, filled") supplies one, so Y comes first. Y ends with "filled", which naturally takes "with shells" — leading to Z. Z ends with "of the same", which demands a noun, supplied by X ("species as those now living in the Mediterranean"). Hence the order is YZX: "Such are the strata which we meet within the south of Sicily, filled with shells for the most part of the same species as those now living in the Mediterranean."

Vigilance means active watchfulness, alertness and concern for possible danger. Its direct opposite is Indifference — a lack of interest or concern. Diligence, acuity and circumspection are all near-synonyms (careful effort, sharpness, cautious prudence), not antonyms. Hence Indifference.

The active sentence is in the simple past ("wrote"). The passive structure for simple past is: Object + was/were + past participle + by + Subject. Object "a sarcastic review" (singular) becomes the new subject; "wrote" becomes "was written"; "by the movie critic" follows. Hence: A sarcastic review was written by the movie critic. Options using "is written" wrongly shift to present tense; the inserted "which is sarcastic" clause distorts the original structure.

When converting a yes/no question with a modal verb into indirect speech, use 'if' as the connector, shift 'shall' to 'should', change 'this' to 'that', and replace the address word 'Sir' with 'politely' attached to the reporting verb. Applying these rules: "Shall I email this letter again, Sir?" becomes "The trainee asked his boss politely if he should email that letter again." Options 1 and 3 wrongly retain 'shall' instead of backshifting to 'should'. Option 2 keeps 'sir' in the reported clause even though 'politely' already accounts for it. Option 4 is correct.

Cavalier means showing a dismissive, arrogant, or haughty lack of proper concern. Its antonym must convey modesty and respect. Humble means having a modest estimate of one's own importance — the direct opposite of cavalier arrogance. 'Condescending' and 'haughty' are synonyms (both denote superiority), and 'curt' means rudely brief — none qualifies as an opposite. Hence the antonym is Humble.

The sentence requires the modal + perfect passive structure: modal + have been + past participle, used to express a deduction about a past event. Inserting "have been" gives "Someone must have been killed," a grammatically correct deduction. "has been" fails because a modal must be followed by the base form 'have', not 'has'. "been" alone omits the required 'have'. "No improvement" is wrong because the original "must being killed" is ungrammatical. The correct improvement is have been.

The opener "They had seen enough of the" needs a noun — Y ("desert already, and no number") supplies it. Y ends with "no number," which demands a partitive phrase; Z ("of knives would have tempted") fits naturally. Z's verb "tempted" needs an object, supplied by X ("them to come to a step farther"). The full sentence reads: "They had seen enough of the desert already, and no number of knives would have tempted them to come to a step farther." Hence the order is YZX.

The passage states that despite the statue's historical importance and imposing appearance, "the busy Bengalureans would probably refer to it as just another landmark." This directly matches option 2, a landmark. "Wealth of history" describes the statue's significance, not how locals refer to it. "Symbol of British rule" and "Bengaluru culture" are not mentioned in the passage.

Each segment is grammatically sound. Part (1) correctly uses the subordinating conjunction "While" with the article "an" before the vowel sound. Part (2) shows correct subject-verb agreement ("an electron carries") and a valid adjective phrase "a negative electrical [charge]." Part (3) properly closes the contrast clause with a comma and forms a clean main clause, "a neutron is neutral." No grammatical error exists in the sentence, so the answer is No Error (4).

The passage states Queen Victoria was "the Monarch of Great Britain from 1837 till 1901." The duration of her reign is: \(1901 - 1837 = 64\) years. Therefore she ruled for 64 years, matching option 1.

The modal 'would' in a hypothetical past context requires the conditional perfect: would + have + past participle. Since the subject "She and Dad" is plural and 'would' is never followed by 'has' or 'to', only have loved fits. The corrected sentence is "She and Dad would have loved Amit." "has loved" violates 'would + base form', "to loved" is ungrammatical, and the original "has had loved" is incorrect — so an improvement is needed.

A landmark is a prominent, easily recognised feature used for orientation — exactly what a lost traveller would remember about a big stone monument. 'Specimen' (a sample for study), 'souvenir' (a memento kept by a traveller, not the monument itself), and 'piece' (too generic and lacks the navigational sense) do not fit. The correct word is landmark.

Sanctity is derived from Latin sanctus (holy) and denotes the state or quality of being holy or sacred — a direct synonym of the given phrase. 'Avarice' (greed for wealth), 'Baseness' (lack of moral principles — the opposite), and 'Parsimony' (extreme stinginess) bear no link to holiness. The best substitute is Sanctity.

The word comes from Greek hypnos (sleep) plus the agent suffix -ist, giving hypnotist. 'hipnotyst' and 'hipnotist' wrongly use 'hip-' instead of 'hyp-'. 'hypnotyst' wrongly uses '-yst' instead of the standard '-ist'. The correctly spelt word is hypnotist.

The passage says the statue depicts "a rather proud, stern person with pronounced features." These three traits are explicitly attributed to Queen Victoria. The word generous is nowhere mentioned in the passage. Hence the trait she did NOT have (per the passage) is generous.

The blank needs an adjective meaning "unable to be explained", matching the airline's inability to give a reason. Inexplicable (in- + explicable) precisely means "cannot be explained" and fits the context. 'Indivisible' (cannot be divided), 'invincible' (cannot be defeated), and 'invisible' (cannot be seen) do not relate to the absence of a reason. The correct word is inexplicable.

The passage states: "In 1906, the statue was unveiled in the city by George Frederick Ernest Albert, Prince of Wales and Duke of Cornwall and York." Although several titles are listed, they all refer to a single individual (the future King George V). Therefore only one person unveiled the statue.

The passage links the statue to Cubbon Park, not to any "Queen Victoria park." It also confirms the statue is made of marble, is 11 feet high, and stands in its 111th year (unveiled 1906). Hence the false statement is "It is standing in Queen Victoria park."

The error lies in part (3): "banged for the wall". The verb "banged" denotes a forceful impact, and the correct preposition to indicate the surface struck is "against" (or sometimes "on"). "For" expresses purpose or duration, not the object of impact. The corrected phrase reads: "banged against the wall." Hence the answer is option (3).