Which answer figure will complete the pattern in the question figure?

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When we complete the above figure, we get: Hence, option 1 is the correct answer.
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Which answer figure will complete the pattern in the question figure?

When we complete the above figure, we get: Hence, option 1 is the correct answer.
Paper & answer key PDF From the given answer figures, select the one in which the question figure is hidden/embedded.

The question figure is embedded in the following figure:
Paper & answer key PDF Select the odd number from the given alternatives.
Check divisibility by 2: 10, 20, and 30 all end in 0 and are even. Only 15 ends in 5 and is odd (\(15 \div 2\) leaves remainder 1). Hence the odd-one-out is 15.
Paper & answer key PDFA word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix – I are numbered from 0 to 4 and that of Matrix – II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘k’ can be represented by 42, 34 etc and ‘Z’ can be represented by 76, 59 etc. Similarly, you have to identify the set for the word ‘SELF’. Matrix-IMatrix-II 0123456789 0HHDIC5OYTNZ 1DAHIG6VQRSQ 2BKKEL7VZUQS 3GHABK8OPTON 4AFKCD9SNYVO
Find every (row, column) code for each letter of SELF, then match an option. S: only in Matrix-II — 67, 79, 95. E: Matrix-I at 23; Matrix-II at 87. L: Matrix-I at 24; Matrix-II at 85. F: only Matrix-I at 41. Testing Option 1 — 95, 23, 24, 41: 95 = S, 23 = E, 24 = L, 41 = F. All valid. Other options fail at the first code (44 = D, 04 = C, 24 = L, none is S). Hence 95, 23, 24, 41.
Paper & answer key PDFSelect the related letters from the given alternatives. FHK : DFI :: OQT : ?
Pattern: each letter of the second group is 2 positions before the corresponding letter of the first group. F(6)→D(4), H(8)→F(6), K(11)→I(9) — all shift -2. Applying -2 to O(15), Q(17), T(20): \(15-2=13\to M\), \(17-2=15\to O\), \(20-2=18\to R\). Hence MOR.
Paper & answer key PDFSelect the related word from the given alternatives. Product : Multiplication :: Sum : ?
Relationship: result : operation. "Product" is the result of "Multiplication." By the same logic, "Sum" is the result of Addition. "Comparison," "Percentage," and "Numbers" are not the operation that produces a sum.
Paper & answer key PDFFaiyaz's birthday is on Wednesday 12 th April. On what day of the week will be Shray's Birthday in the same year if Shray was born on 2 nd October?
Step 1 — Count days from 12 April to 2 October: Remaining April (30 − 12) + May + June + July + August + September + 2 days of October = \(18+31+30+31+31+30+2 = 173\) days. Step 2 — Find odd days: \(173 \div 7\) leaves remainder \(5\), so the shift is 5 days. Step 3 — Apply shift to Wednesday: Wednesday + 5 days = Monday. Hence Shray’s birthday falls on Monday.
Paper & answer key PDFIf a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

Clearly, fig.4 shows the correct right image of question figure.
Paper & answer key PDF In the following figure, square represents Painters, triangle represents women, circle represents Accountants and rectangle represents Americans. Which set of letters represents Americans who are not accountants?

A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.

Clearly, when paper sheet is folded and punched, it will appear as shown below: Hence, Fig 4 is the correct answer.
Paper & answer key PDF If FRISKED is coded as HTKUMGF, then how will SUN be coded as?
Each letter of FRISKED is shifted +2 in the alphabet: F→H, R→T, I→K, S→U, K→M, E→G, D→F, giving HTKUMGF. Applying the same +2 shift to SUN: S(19)→U(21), U(21)→W(23), N(14)→P(16). The code is UWP.
Paper & answer key PDFSelect the related number from the given alternatives. 10001 : 10101 :: 101 : ?
The relationship is add 100: \(10001 + 100 = 10101\). Applying the same rule: \(101 + 100 = 201\). Hence the answer is 201.
Paper & answer key PDFSelect the odd word from the given alternatives.
Trousers, Pants and Shorts are all garments worn on the lower body. A Shirt is worn on the upper body, making it the odd one out.
Paper & answer key PDFIn a certain code language, '+' represents '×', '-' represents '+', '×' represents '÷' and '÷' represents '-'. What is the answer to the following question? 80 + 2 ÷ 25 + 5 - 10 = ?
Substitute symbols per the code: + → ×, ÷ → −, × → ÷, − → +. The expression becomes: \[80 \times 2 - 25 \times 5 + 10\] By BODMAS: \(160 - 125 + 10 = 45\). Hence the value is 45.
Paper & answer key PDFFrom the given words, select the word which cannot be formed using the letters of the given word. SMOTHERS
The letters of SMOTHERS are {S, M, O, T, H, E, R, S} — note there is no A. THOSE, METRO and STORE use only these letters, but TEARS requires an ‘A’, which is absent. Hence TEARS cannot be formed.
Paper & answer key PDFA series is given, with one word missing. Choose the correct alternative from the given ones that will complete the series. win, note, grain, broker, ?
The pattern is increasing word length: win (3), note (4), grain (5), broker (6). The next word must have 7 letters. Among the options, only banking has 7 letters, so it completes the series.
Paper & answer key PDFA series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. KlMnO, qRsTu, WxYzA, cDeFg, ?
Each term has 5 consecutive letters, and the starting letter advances by +6 in the alphabet: K → q → W → c → i. So the next term’s letters are i, j, k, l, m. Capitalisation alternates: terms in odd positions use Cap-low-Cap-low-Cap (like Term 3 WxYzA). The 5th term follows the same pattern, giving IjKlM.
Paper & answer key PDFThe weights of 4 boxes are 20, 90, 40 and 60 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?
List all subset sums of {20, 40, 60, 90}: Singles: 20, 40, 60, 90. Pairs: 60, 80, 100, 110, 130, 150. Triples: 120, 150, 170, 190. All four: 210. Possible totals = {20, 40, 60, 80, 90, 100, 110, 120, 130, 150, 170, 190, 210}. Among the options, 200 is absent — it cannot be formed.
Paper & answer key PDFIf 45% 11 = 7, 59 % 34 = 7 then what is the value of 55 % 4 = ?
The rule is: \(A\,\%\,B = (\text{digit sum of }A) - (\text{digit sum of }B)\). Check: \((4+5)-(1+1)=9-2=7\) and \((5+9)-(3+4)=14-7=7\). Apply: \(55\,\%\,4 = (5+5) - 4 = 10 - 4 = 6\). Hence the answer is 6.
Paper & answer key PDFSelect the missing number from the given responses.

In the first column, the first number is obtained by adding the other two numbers. Eg : 87 + 15 = 102 and 45 + 44 = 89 Similarly, 50 + 25 = 75 Hence, '75' is the correct alternative.
Paper & answer key PDFA series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 0, 3, 8, ? , 24, 35
Each term equals \(n^2 - 1\) where n is the position: \(1^2-1=0,\ 2^2-1=3,\ 3^2-1=8,\ 4^2-1=15,\ 5^2-1=24,\ 6^2-1=35\). The missing 4th term is 15. (Equivalent view: successive differences are odd numbers 3, 5, 7, 9, 11.)
Paper & answer key PDFTwo cars C and D start from the same point. C travels 9 km South, then turns to its left and travels another 11 km. D travels 3 km East, then turns South and travels 5 km, then turns to its left and travels another 8 km. Where is D with respect to C now?
Take the start as origin with East = +x, North = +y. Car C: 9 km South → (0, −9). Left turn from South faces East; 11 km East → (11, −9). Car D: 3 km East → (3, 0). 5 km South → (3, −5). Left turn from South faces East; 8 km East → (11, −5). Same x-coordinate; y-difference \((-5)-(-9)=4\). Hence D is 4 km North of C.
Paper & answer key PDFDirections: In the question a statement is given, followed by two arguments, I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given arguments, if any, is a strong argument. Statement: Should street lights be switched off after midnight? Argument I: No, statistics show that crime and accidents will increase if the street lights are switched off. Argument II: Yes, since fewer vehicles ply after midnight, expensive electricity will be wasted.
Argument I raises a serious public-safety concern — statistics-backed rise in crime and accidents — which is directly relevant and decisive against switching lights off. Hence it is strong. Argument II claims electricity is wasted because fewer vehicles ply, but street lights also serve pedestrians and security, so the “waste” premise is weak and the cost concern does not outweigh safety. Hence only Argument I is strong.
Paper & answer key PDFSelect the odd letters from the given alternatives.
Three of the four triplets advance by +3 letters at each step: EHK (E→H→K), LOR (L→O→R), SVY (S→V→Y). Only ZBD advances by +2 letters (Z→B→D, with Z+2 wrapping to B), breaking the pattern. Hence ZBD is the odd one out.
Paper & answer key PDFWhich of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?

When we fold the given figure, the circle with a ‘+’ sign will become the base of the cube and the side with only ‘+’ sign will become top, and thus they will face each other. Similarly, the sides which will face each other will be: Since, the opposite sides cannot be adjacent in the cube, thus the cube in the last option is not possible
Paper & answer key PDF The collection of all possible combinations of the goods and services that can be produced from a given amount of resources and a given stock of technological knowledge is called the ____________ of the economy.
In economics, the set of all attainable output combinations an economy can produce from its available resources and given technology is the Production Possibility Set; its boundary is the Production Possibility Frontier (PPF). “Probability” options are incorrect terminology, and “Resource Possibility Set” mis-emphasises inputs rather than producible output combinations.
Paper & answer key PDFThe Tomara Rajputs were defeated in the middle of the twelfth century by the Chauhans of _________.
The Tomara Rajputs founded and ruled Dhillika (Delhi) from around the 8th century. In the mid-12th century, the Chauhans (Chahamanas) of Ajmer, under Vigraharaja IV (Visaladeva), defeated the Tomaras and annexed Delhi to their kingdom. Prithviraja Chauhan III, based at Ajmer, later inherited this enlarged Chauhan realm including Delhi before being defeated by Muhammad Ghori in 1192. Hence the correct answer is Ajmer.
Paper & answer key PDFIn which year was All India Anna Dravida Munnetra Kazhagam (AIADMK) founded?
The All India Anna Dravida Munnetra Kazhagam (AIADMK) was founded by M. G. Ramachandran (MGR) on 17 October 1972 at Madurai, after he was expelled from the DMK following differences with M. Karunanidhi. Note: 1949 is the founding year of the parent party DMK (by C. N. Annadurai), not AIADMK. Hence the correct answer is 1972.
Paper & answer key PDFWho is not amongst the winners of Nobel Prize 2016 for Chemistry?
The 2016 Nobel Prize in Chemistry was awarded jointly to Jean-Pierre Sauvage, Sir J. Fraser Stoddart and Bernard L. Feringa for the design and synthesis of molecular machines. J. Michael Kosterlitz won the 2016 Nobel Prize in Physics (shared with David Thouless and Duncan Haldane) for topological phase transitions — not Chemistry. Hence he is the odd one out.
Paper & answer key PDFThe meristem which occurs between mature tissues is known as _________ meristem.
Meristems are classified by location: apical meristems lie at root/shoot tips (primary growth in length), lateral meristems lie along the sides of stems and roots (secondary growth in girth, e.g. cambium), and intercalary meristems lie between regions of mature/permanent tissue, typically at the base of leaves or above the nodes of grass stems. Since the question specifies meristem occurring between mature tissues, the answer is Intercalary.
Paper & answer key PDFDuring the past century, the temperature of Earth has increased by ________.
According to IPCC assessments cited in NCERT and standard SSC reference material, the average global surface temperature of the Earth rose by about 0.6°C over the 20th century (the "past century" referenced here). This warming, driven mainly by greenhouse gas emissions from fossil-fuel burning, has contributed to rising sea levels, glacial retreat and more frequent extreme-weather events. Hence the correct answer is 0.6°C.
Paper & answer key PDFWhich country was India's largest overseas investment destination in the year 2015-16?
According to the RBI's data on India's outward Foreign Direct Investment for 2015-16, Mauritius was the single largest destination for Indian overseas investment, receiving the highest share of outward FDI commitments. This was primarily driven by the favourable India-Mauritius Double Taxation Avoidance Agreement (DTAA), which made Mauritius the preferred routing jurisdiction. Switzerland, Saudi Arabia and Australia received much smaller flows. Hence the answer is Mauritius.
Paper & answer key PDFIn the formula average velocity = (u + v)/2, u is the _________.
For motion with uniform acceleration, the kinematic convention is: \(u\) = initial velocity, \(v\) = final velocity, \(a\) = acceleration, \(s\) = displacement. The formula \(\text{average velocity}=\dfrac{u+v}{2}\) is the arithmetic mean of the starting and ending velocities, so \(u\) denotes the initial velocity.
Paper & answer key PDFVocal chords in women are _________ than vocal chords in men. पुरुषों में वोकल कॉर्ड्स की तुलना में महिलाओं में वोकल कॉर्ड्स _________ होते हैं।
The pitch of the human voice depends on the length and thickness of the vocal cords (folds) in the larynx — shorter, thinner cords vibrate faster and give a higher pitch. Adult male vocal cords measure roughly 17-25 mm, while adult female vocal cords measure about 12-17 mm — on average women's cords are about 5 mm shorter than men's, which is why women's voices are typically higher-pitched.
Paper & answer key PDFWho started construction of Nalanda (Mahavihara)?
Nalanda Mahavihara, the great Buddhist monastic university in present-day Bihar, was founded in the 5th century CE during the Gupta period. Its construction was started by the Gupta emperor Kumaragupta I (reigned c. 415-455 CE). It was later expanded by successors like Harshavardhana and Pala kings (including Dharmapala), but the initial foundation is credited to Kumaragupta. Hence the answer is Kumaragupta.
Paper & answer key PDFWhich Fundamental Right in the Indian Constitution includes equal access to shops, bathing, ghats, hotels etc?
Article 15(2) of the Indian Constitution, part of the Right to Equality (Articles 14-18), explicitly bars discrimination against any citizen on grounds of religion, race, caste, sex or place of birth in matters of access to shops, public restaurants, hotels, places of public entertainment, wells, tanks, bathing ghats and roads maintained out of State funds or dedicated to the public. Hence the correct Fundamental Right is the Right to Equality.
Paper & answer key PDFThe place on the earth's surface above the focus is called the ________.
During an earthquake, the point inside the Earth where the rupture begins and seismic energy is released is called the focus (or hypocentre). The point on the Earth's surface lying vertically above the focus is the epicentre, and it usually experiences the strongest shaking. "Incentre" and "circumcentre" are geometric terms for triangle centres, unrelated to seismology. Hence the answer is epicentre.
Paper & answer key PDFIndia is the ______ largest country in the world.
India's total geographical area is about 3,287,263 sq km, roughly 2.4% of the world's land surface. The six countries larger than India by area are Russia, Canada, China, United States, Brazil and Australia — making India the 7th largest country in the world by area (though it is the most populous). Hence the answer is 7th.
Paper & answer key PDF_________ Scheme was launched by the Central Government to give financial services to weaker section of society.
Pradhan Mantri Jan Dhan Yojana (PMJDY), launched on 28 August 2014, is the Central Government's flagship financial-inclusion scheme aimed at providing affordable access to banking, remittance, credit, insurance and pension services to the weaker and unbanked sections of society. Sukanya Samridhi and Beti Bachao Beti Padhao target the girl child specifically, and Bal Swachta Mission relates to child sanitation — none provides broad financial services. Hence the answer is Pradhan Mantri Jan Dhan Yojana.
Paper & answer key PDFWho was the host nation of 2015 Men's Rugby World Cup?
The 8th Rugby World Cup was held from 18 September to 31 October 2015, with England as the host nation (a few pool matches were played at the Millennium Stadium in Cardiff, Wales). New Zealand won the final, defeating Australia 34-17, to become the first nation to retain the Webb Ellis Cup. Hence the host nation was England.
Paper & answer key PDFWhich of the statements given below are correct? 1) The author of the novel 'Missile Gap' is Charles Stross. 2) The author of the novel 'Bird Box' is Victor LaValle. 3) The author of the novel 'The City and the City' is China Mieville.
Checking each statement: (1) Charles Stross wrote the 2006 novelette "Missile Gap" — correct. (2) "Bird Box" (2014) was written by Josh Malerman, not Victor LaValle — incorrect. (3) China Mieville wrote "The City & the City" (2009) — correct. So only statements 1 and 3 are correct.
Paper & answer key PDFWho discovered Uranus?
William Herschel, a German-born British astronomer, discovered Uranus on 13 March 1781 while conducting a systematic telescopic survey of the night sky. He initially mistook it for a comet, but follow-up observations confirmed it as the first planet discovered with a telescope, extending the solar system beyond Saturn. Newton (laws of motion) and Copernicus (heliocentric model) predate the discovery; Fox Talbot was a photography pioneer, unrelated to astronomy.
Paper & answer key PDFThe web uses the _________ to request and serve web pages and programs.
Hyper Text Markup Language (HTML) is the standard markup language used to structure web pages and programs served over the web. Browsers request HTML documents from web servers and render the marked-up content into visible pages. The other options — Hyper Text Marketing Language, Hotmail Text Markup Language, and Home Text Markup Language — are not recognised web technologies.
Paper & answer key PDFChina does not share its border with which Indian state?
India shares its border with China through five states/UTs: Ladakh, Himachal Pradesh, Uttarakhand, Sikkim and Arunachal Pradesh. Among the options, Arunachal Pradesh, Himachal Pradesh and Sikkim all touch the China border. Bihar lies in eastern India and shares an international border only with Nepal, not with China. Hence Bihar is the correct answer.
Paper & answer key PDFThe male sex accessory ducts include vasa efferentia, epididymis, vas deferens and______.
The male sex accessory ducts carry sperm from the testis outward in this sequence: rete testis → vasa efferentia → epididymis → vas deferens. The question lists the last three, so the missing duct is the rete testis, the network within the mediastinum testis that collects sperm from the seminiferous tubules. The cervix is a female structure; seminiferous tubules are the site of sperm production (not an accessory duct); “glands” refers to accessory glands, not ducts.
Paper & answer key PDFIf at a price, market supply is greater than market demand, we say that there is ________ in the market at that price.
When market supply exceeds market demand at a given price, unsold stock accumulates — this surplus is called excess supply, and it pushes the price downward toward equilibrium. Equilibrium requires supply = demand; excess demand is the opposite case (demand > supply); marginal revenue is a firm-level revenue concept, unrelated to market clearing.
Paper & answer key PDFWhat is the name of the acid in grapes? अंगूर में अम्ल का क्या नाम है?
The dominant organic acid in grapes is tartaric acid (\(\text{C}_4\text{H}_6\text{O}_6\)), which gives grapes their characteristic tartness and is central to wine stability. Malic acid is also present in smaller amounts, but tartaric acid is the signature acid. Lactic acid occurs in sour milk and muscle tissue, formic acid in ant venom, and acetic acid in vinegar — none are the principal acid of grapes.
Paper & answer key PDFWhich fibre is also called as artificial silk?
Rayon is called artificial silk. It is a regenerated cellulose fibre made by chemically processing wood pulp or cotton linters and extruding the solution through spinnerets. The resulting filaments have the lustre, smoothness and drape of natural silk, which earned Rayon its nickname. Nylon, polyester and acrylic are fully synthetic petrochemical-based fibres; acrylic in particular is known as artificial wool, not silk.
Paper & answer key PDFWhich of the following Phylum are also called flatworms?
Members of phylum Platyhelminthes — planarians, flukes and tapeworms — have dorsoventrally flattened, bilaterally symmetric, triploblastic, acoelomate bodies. This flattened body plan is the reason they are commonly called flatworms. Mollusca includes soft-bodied snails and octopuses; Chordata includes vertebrates with a notochord; Ctenophora are the radially symmetric comb jellies — none are flatworms.
Paper & answer key PDFFor how many days did Mahatma Gandhi's volunteers of the Salt Satyagraha walked?
The Dandi March, the central act of the Salt Satyagraha, began on 12 March 1930 from Sabarmati Ashram and ended on 5 April 1930 at Dandi on the Gujarat coast, where Gandhi broke the salt law the next morning (6 April). The journey of roughly 240 miles was completed in 24 days of walking by Gandhi and his 78 volunteers, making 24 the correct answer.
Paper & answer key PDFWhat is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?
Step 1 — Slope of the given line: Rewrite \(5x+3y=6\) as \(y=-\tfrac{5}{3}x+2\), so \(m_1=-\tfrac{5}{3}\). Step 2 — Perpendicular slope: For perpendicular lines \(m_1 m_2=-1\), giving \(m_2=\tfrac{3}{5}\). Step 3 — Apply Y-intercept \(c=-3\): \[y=\tfrac{3}{5}x-3 \implies 5y=3x-15\] Therefore the required equation is \(5y=3x-15\).
Paper & answer key PDFD and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ΔADE is 8 cm sq, what is the area (in sq cm) of quadrilateral BDEC?
Step 1 — Side ratio from BPT: Since \(DE\parallel BC\), \(\triangle ADE\sim\triangle ABC\). With \(AD:DB=2:5\), we get \(\tfrac{AD}{AB}=\tfrac{2}{7}\). Step 2 — Area ratio (square of side ratio): \[\frac{[\triangle ADE]}{[\triangle ABC]}=\left(\tfrac{2}{7}\right)^2=\tfrac{4}{49}\] Step 3 — Find area of \(\triangle ABC\): \[[\triangle ABC]=8\times\tfrac{49}{4}=98\text{ cm}^2\] Step 4 — Quadrilateral area: \([BDEC]=98-8=\boldsymbol{90}\) cm2.
Paper & answer key PDFIf a person walks at 15 km/hr instead of 9 km/hr, he would have walked 3 km more in the same time. What is the actual distance (in kms) travelled by him?
Step 1 — Set up: Let the common time be \(T\) hours. Extra distance at higher speed: \[15T-9T=3\] Step 2 — Solve for T: \(6T=3 \implies T=\tfrac{1}{2}\) hr. Step 3 — Actual distance: \[D=9\times\tfrac{1}{2}=\boldsymbol{4.5\text{ km}}\]
Paper & answer key PDFWhat is the value of Sin 30° - √2 Cos 30°?
Substitute the standard values \(\sin 30^\circ=\tfrac{1}{2}\) and \(\cos 30^\circ=\tfrac{\sqrt{3}}{2}\): \[\sin 30^\circ-\sqrt{2}\cos 30^\circ=\tfrac{1}{2}-\sqrt{2}\cdot\tfrac{\sqrt{3}}{2}=\tfrac{1}{2}-\tfrac{\sqrt{6}}{2}=\tfrac{1-\sqrt{6}}{2}\] Therefore the value is \(\dfrac{1-\sqrt{6}}{2}\).
Paper & answer key PDFA's wealth is 5/7 times of B's and C's is 10/7 times of B's. What is the ratio of C's wealth to A's?
Given \(A=\tfrac{5}{7}B\) and \(C=\tfrac{10}{7}B\), divide to eliminate B: \[\frac{C}{A}=\frac{\tfrac{10}{7}B}{\tfrac{5}{7}B}=\frac{10}{5}=2\] Hence C : A = 2 : 1.
Paper & answer key PDFThe average of four consecutive odd numbers is 64. What is the value of largest number?
Step 1 — Set up: Let the four consecutive odd numbers be \(n, n+2, n+4, n+6\). Step 2 — Apply average: \[\frac{4n+12}{4}=64 \implies n+3=64 \implies n=61\] Step 3 — Largest number: \(n+6=61+6=\boldsymbol{67}\).
Paper & answer key PDFIf the cost of producing and selling the four products was Rs. 10 crores each year in 2015 and 2016 then what is the cumulative profit (in Rs. Lakhs) earned in the years 2015 and 2016?
Given: Revenue in 2015 (in lakh rupees) Revenue in 2016 (in lakh rupees) A 300 330 B 500 525 C 100 120 D 50 100 Calculation: Total revenue collected in both years = (300 + 330 + 500 + 525 + 100 + 120 + 50 + 100) = Rs. 2025 lakhs = 20.25 crores Given: cost of producing and selling the four products in 2 years = 2 × 10 = 20 crores Profit = 20.25 - 20 = 0.25 crores = 25 lakhs ∴ Profit is 25 lakhs
Paper & answer key PDFSum of twice a fraction and 3 times its reciprocal is 29/3. What is the fraction?
Let the fraction be \(x\). The condition gives: \[2x+\frac{3}{x}=\frac{29}{3}\] Step 1 — Clear denominators (multiply by \(3x\)): \[6x^{2}+9=29x \;\Rightarrow\; 6x^{2}-29x+9=0\] Step 2 — Factorise: \[(2x-9)(3x-1)=0 \;\Rightarrow\; x=\tfrac{9}{2}\ \text{or}\ x=\tfrac{1}{3}\] Only \(\tfrac{9}{2}\) appears in the options. Check: \(2(\tfrac{9}{2})+3(\tfrac{2}{9})=9+\tfrac{2}{3}=\tfrac{29}{3}\). Therefore the fraction is 9/2.
Paper & answer key PDFGanesh invested an amount of Rs x in a fixed deposit scheme offering 5% per annum for 1st year and 15% per annum for 2nd year and received an amount of Rs 9660 after two years. What is the value of x (in Rs)?
With successive rates 5% and 15%, the amount after 2 years is: \[x\times 1.05\times 1.15=9660\] \[x=\frac{9660}{1.2075}=8000\] Verification: \(8000\times1.05=8400\); \(8400\times1.15=9660\). Hence x = Rs 8000.
Paper & answer key PDFRevenues from which product were the least in both the years 2015 and 2016?
Given: Revenue in 2015 (in lakh rupees) Revenue in 2016 (in lakh rupees) A 300 330 B 500 525 C 100 120 D 50 100 Calculation: In 2015(Revenue in Rs lakhs): A = 300, B = 500, C = 100, D = 50 Least = D(Rs. 50 lakhs) In 2016(Revenue in Rs. lakhs): A = 330, B = 525, C = 120, D = 100 Least = D(Rs 100 lakhs) ∴ In both the cases D has the least revenue
Paper & answer key PDFThe distance between the points (2, 7) and (k, -5) is 13. What is the value of k?
By the distance formula: \[(k-2)^{2}+(-5-7)^{2}=13^{2}\] \[(k-2)^{2}+144=169 \;\Rightarrow\; (k-2)^{2}=25\] \(k-2=\pm 5\), so \(k=7\) or \(k=-3\). Among the options, only k = 7 is listed.
Paper & answer key PDFA Rs. 100 shirt is offered at 10% discount and a Rs. 300 pair of trousers at 20% discount. If Pritam bought 1 shirt and 3 pairs of trousers, what is the effective discount (in %) he got?
Total MRP: \(100+3\times300=1000\). Total discount: \(10\%\ \text{of}\ 100+20\%\ \text{of}\ 900=10+180=190\). Effective discount: \(\frac{190}{1000}\times100=19\%\) Hence the effective discount is 19%.
Paper & answer key PDFIf [4(2x/5 - 3/2)]/3 + 7/5 = 37/5, then what is the value of x?
Starting from \(\dfrac{4\left(\tfrac{2x}{5}-\tfrac{3}{2}\right)}{3}+\dfrac{7}{5}=\dfrac{37}{5}\): Step 1 — Move \(7/5\): \[\frac{4\left(\tfrac{2x}{5}-\tfrac{3}{2}\right)}{3}=\frac{30}{5}=6\] Step 2 — Multiply by 3 and divide by 4: \[\frac{2x}{5}-\frac{3}{2}=\frac{18}{4}=\frac{9}{2}\] Step 3 — Solve: \[\frac{2x}{5}=\frac{9}{2}+\frac{3}{2}=6 \;\Rightarrow\; x=15\] Therefore x = 15.
Paper & answer key PDFWhat is the reflection of the point (4, -3) in the line y = -2?
Reflection in a horizontal line \(y=c\) keeps the x-coordinate and maps \(y\to 2c-y\). With \(c=-2\) and the point \((4,-3)\): \[y'=2(-2)-(-3)=-4+3=-1\] So the image is (4, -1). Check: both points lie 1 unit from \(y=-2\) on opposite sides.
Paper & answer key PDFΔXYZ is right angled at Y. If ∠Z = 60° and ZX = 9√3 cm.What is the length (in cm) of YZ?
In right-angled ΔXYZ with the right angle at Y, ZX is the hypotenuse and YZ is the side adjacent to \(\angle Z\). \[\cos Z=\frac{YZ}{ZX} \;\Rightarrow\; YZ=ZX\cos 60^{\circ}\] \[YZ=9\sqrt{3}\times\frac{1}{2}=\frac{9\sqrt{3}}{2}\ \text{cm}\] Hence YZ = 9√3/2 cm.
Paper & answer key PDFIf sec θ = 13/12, then what is the value of sin θ?
Since \(\sec\theta=\dfrac{\text{hyp}}{\text{adj}}=\dfrac{13}{12}\), take hypotenuse 13 and adjacent 12. By Pythagoras: \[\text{opp}=\sqrt{13^{2}-12^{2}}=\sqrt{25}=5\] \[\sin\theta=\frac{\text{opp}}{\text{hyp}}=\frac{5}{13}\] Hence sin θ = 5/13.
Paper & answer key PDFA and B together do a job in 6.75 days and A could do the job in 9 days if he worked alone. How many days would B take to do the job if he worked alone?
Together A and B finish in \(6.75=\tfrac{27}{4}\) days, so combined rate = \(\tfrac{4}{27}\) job/day. A's rate alone = \(\tfrac{1}{9}\) job/day. \[\text{B's rate}=\frac{4}{27}-\frac{1}{9}=\frac{4-3}{27}=\frac{1}{27}\] Therefore B alone needs 27 days.
Paper & answer key PDFIf a wholesaler, sells a box of chocolates at Rs. 960 he gains 20%. Now if he decides to sell it at Rs. 1120, what is his profit percentage?
From the first sale, \(\text{CP}\times 1.20=960\), so \(\text{CP}=800\). New profit = \(1120-800=320\). \[\text{Profit }\%=\frac{320}{800}\times100=40\%\] Hence the new profit percentage is 40%.
Paper & answer key PDFThe 7 th and 12 th term of an arithmetic progression are -15 and 5 respectively. What is the 16 th term?
For an AP, \(a_n=a_1+(n-1)d\). Given \(a_7=-15\) and \(a_{12}=5\): \[d=\frac{a_{12}-a_7}{12-7}=\frac{5-(-15)}{5}=4\] Using \(a_{16}=a_{12}+(16-12)d\): \[a_{16}=5+4\times4=21\] Hence the 16th term is 21.
Paper & answer key PDFWhat is the diameter (in cm) of a sphere of surface area 154 sq cm?
Surface area of a sphere: \(A=4\pi r^{2}\). Using \(\pi=\tfrac{22}{7}\): \[4\times\frac{22}{7}\times r^{2}=154 \;\Rightarrow\; r^{2}=\frac{154\times7}{88}=\frac{49}{4}\] \(r=\tfrac{7}{2}=3.5\) cm, so diameter \(d=2r=\) 7 cm.
Paper & answer key PDFBy what amount (in Rs. crore) the total revenue by selling all the four products in 2016 is greater than that of 2015?
Given: Revenue in 2015 (in lakh rupees) Revenue in 2016 (in lakh rupees) A 300 330 B 500 525 C 100 120 D 50 100 Calculation: Total revenue by selling all the four products in 2015 = 300 + 500 + 100 + 50 = 950 Total revenue by selling all the four products in 2016 = 330 + 525 + 120 + 100 = 1075 ∴ Required value = 1075 - 950 = Rs.125 lakhs = 1.25 crore
Paper & answer key PDFBy what value (in %) the revenue from sale of product B in 2016 was greater than that of 2015?
Given: Revenue in 2015 (in lakh rupees) Revenue in 2016 (in lakh rupees) A 300 330 B 500 525 C 100 120 D 50 100 Calculation: Revenue from sale of product B in 2016 = Rs. 525 lakh Revenue from sale of product B in 2015 = Rs. 500 lakh ∴ Required % = [(525 - 500)/500]100 = 5%
Paper & answer key PDFWhat is the LCM of 64 and 56?
Prime factorise: \(64=2^{6}\) and \(56=2^{3}\times7\). LCM uses the highest power of each prime: \[\text{LCM}=2^{6}\times7=64\times7=448\] Hence the LCM is 448.
Paper & answer key PDFA man wills 25% of his wealth to charity and rest to his family. What percent of the wealth willed to charity does the family get?
Let total wealth = \(W\). Charity gets \(0.25W\); the family gets the remaining \(0.75W\). \[\frac{\text{Family}}{\text{Charity}}\times100=\frac{0.75W}{0.25W}\times100=300\%\] So the family receives 300% of the amount willed to charity.
Paper & answer key PDFIf a - b = 4 and ab = -3, then what is the value of a 3 - b 3?
Use the identity \(a^{3}-b^{3}=(a-b)^{3}+3ab(a-b)\). Substituting \(a-b=4\) and \(ab=-3\): \(a^{3}-b^{3}=4^{3}+3(-3)(4)=64-36=28\) Hence \(a^{3}-b^{3}=\) 28.
Paper & answer key PDFIn the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase. To have at one's fingertips
The idiom "to have at one's fingertips" means to have information or knowledge so familiar that it can be recalled or used instantly, as if it were physically within reach. This matches "Recall of factual information at one's command". The other options take the phrase literally (keyboard speed, percussion playing) or describe note-taking, none of which capture the figurative sense of ready knowledge.
Paper & answer key PDFIn the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option .If a sentence is free from error, select 'No Error'. The boy who (1)/ sat close him (2)/ was his son. (3)/No Error (4)
Part (2) "sat close him" is wrong. When close indicates physical proximity to a person or object, it must take the preposition to: "sat close to him." Parts (1) and (3) are grammatically sound, so the error lies in part 2.
Paper & answer key PDFIn the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence. Optimistic in an apparently difficult situation
Sanguine means cheerfully optimistic, especially in a hard or seemingly unfavourable situation — a direct match for the phrase. Pallid and sallow describe an unhealthy pale/yellowish complexion. Pessimistic is the exact opposite of optimistic. Hence Sanguine is the best substitute.
Paper & answer key PDFthe humming-birds ______ many of the sparrows
The blank joins the last two items in a list of bird types ("...the tanagers, the humming-birds ______ many of the sparrows"). A list of items is concluded with the additive conjunction and. Because introduces a cause, but a contrast, and if a condition — none of these fit a simple enumeration. Hence And.
Paper & answer key PDFIn the following question, out of the four alternatives, select the word similar in meaning to the word given. Pillage
Pillage means to rob a place violently, especially in war. Among the options, Desecrate — to violate or treat a place with violent disrespect — is the closest in sense, since both involve violent violation of a place and often theft or damage. Bequeath (leave by will) and entrust (give in trust) are opposites; consign means to hand over or assign, unrelated to violent plunder.
Paper & answer key PDFIn the following question, out of the four alternatives, select the word opposite in meaning to the word given. Epidemic
An epidemic is a widespread, large-scale outbreak of disease. Its opposite must capture the idea of being restricted in scale. Limited means confined or small in scope, directly contrasting "widespread." Contagious and infectious describe how a disease spreads, not its scale; endemic means constantly present in an area but is not a true antonym. Hence Limited.
Paper & answer key PDFBrewer's blackbird, ______ habits are not as prosaic
The blank links "habits" to "Brewer's blackbird," showing the habits belong to the bird. The possessive relative pronoun is whose. Who (subject) and whom (object) cannot show possession; whoever means "anyone who" and does not refer back to a specific antecedent. Hence Whose.
Paper & answer key PDF______ of the purple and bronzed grackles
The sentence contrasts the grackles (not common in the Rockies) with Brewer's blackbird, which the Rockies do boast. The contrast/substitution is expressed by the phrase instead of. Beside of, next of and near of are not standard English; only Instead (with "of") fits both grammatically and contextually.
Paper & answer key PDFIn the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'. When I returned I felt (1)/ a big cat brush side me (2)/ as I opened the door. (3)/No Error (4)
Part (2) "a big cat brush side me" is wrong. The verb brush, when describing light contact while passing, takes against or past: "brush past me" / "brush against me." "Brush side me" is not a valid English construction. Parts (1) and (3) are correct, so the error is in part 2.
Paper & answer key PDFIn the following question, four words are given out of which one is correctly spelt. Select the correctly spelt word.
The required noun means "the act of putting a mechanism into action." The correct spelling is Actuation, formed from the verb actuate + the standard noun suffix -ion. Actuasion, Actation, and Actasion use non-standard suffixes (-uasion, -asion) or drop the required u, and are not English words.
Paper & answer key PDFThe question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. The resulting brain change is X: concomitant of Y: the sensation Z: regarded as the true
The opening clause is "The resulting brain change is ______." After "is," we need a complement describing what the brain change is. Z ("regarded as the true") naturally follows the verb. X ("concomitant of") then completes the noun phrase, requiring an object, which Y ("the sensation") supplies. Reading ZXY: "The resulting brain change is regarded as the true concomitant of the sensation" — a grammatical, meaningful statement. Hence ZXY.
Paper & answer key PDFIn the following question, out of the four alternatives, select the word opposite in meaning to the word given. Rampart
A rampart is a raised defensive wall or bank. Its opposite should denote a sunken or hollow structure — a ditch, a long narrow trench dug into the ground. Barricade, fort and embankment are all raised or defensive structures, similar in character to a rampart rather than opposite. Hence Ditch.
Paper & answer key PDFIn the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence. Protection of or authority over someone
Tutelage means guardianship — protection, care, or authority exercised over someone, typically a ward by a guardian. This matches the given phrase exactly. Autonomous (self-governing), nonaligned (politically neutral), and unaided (without help) all imply independence — the opposite of being under another's authority. Hence Tutelage.
Paper & answer key PDFIn the following question, a sentence has been given in Active/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Active/Passive Voice. Who taught you to ride?
To convert an interrogative beginning with Who + past-tense verb into passive voice, use the pattern: By whom + was/were + (object) + past participle ...? The object "you" requires were, and the past participle of teach is taught. The infinitive "to ride" stays unchanged, giving "By whom were you taught to ride?" Option 1 uses the wrong helping verb "is"; options 3 and 4 distort the structure with "Riding by you."
Paper & answer key PDFIn the following question, a sentence has been given in Direct/Indirect Speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in Indirect/Direct Speech. Sheetal said to me, "How have you solved this problem?"
Rules for converting a wh-question to indirect speech with a past reporting verb: Reporting verb: "said to" becomes asked. Conjunction: the wh-word "how" itself links the clauses. Pronoun: "you" (referring to me) becomes I. Tense: present perfect "have solved" shifts to past perfect had solved. Demonstrative: "this" changes to that. Applying all changes: Sheetal asked me how I had solved that problem. Options 2–4 fail on tense or demonstrative.
Paper & answer key PDFIn the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase. To not have a clue.
The idiom "to not have a clue" means to have no knowledge or information about something — to be completely unaware of a topic or situation. Option 4, "To not know about something," captures this meaning exactly. The other options refer to poverty, exam failure, or a sudden loss of confidence — none of which relate to ignorance or absence of knowledge.
Paper & answer key PDFIn the following question, the sentence is given with a blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option. As I think back to my childhood, I ____________ recall the fun summers on my grandfather's farm.
Wistfully means with a feeling of fond longing or gentle sadness for something in the past. It matches the nostalgic tone of looking back at fun childhood summers on a grandfather's farm. Fiscally relates to finances and is irrelevant. Hopefully points to the future, not memory. Awfully either means "badly" (contradicting "fun") or informally "very," which is grammatically awkward as a manner adverb before "recall."
Paper & answer key PDFIn the following question, out of the four alternatives, select the word similar in meaning to the word given. Cluster
Cluster means a group or collection of similar things close together (e.g., a cluster of stars). Assemblage also means a gathering or collection of people or things, making it the closest synonym. Individual and solitary imply singleness or isolation — opposites of cluster — while specific means precise or particular, an unrelated idea.
Paper & answer key PDFThe question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. We entered, and X: had been assigned Y: to each of us Z: found that a hut
The opening "We entered, and" needs a verb phrase next, so Z ("found that a hut") must follow — supplying the verb "found" and introducing the noun "hut." The noun "a hut" then needs a verb describing what happened to it: X ("had been assigned"). Finally, the passive "had been assigned" requires a recipient, supplied by Y ("to each of us"). The complete sentence reads: "We entered, and found that a hut had been assigned to each of us." Hence the order is ZXY.
Paper & answer key PDFWest (with one exception) are different _____ those of East
The adjective different is standardly followed by the preposition from when expressing distinction between two things. The sentence becomes: "West (with one exception) are different from those of East." "Different for" indicates variation by recipient, "different of" is non-standard, and "different to" is informal British usage and less preferred in formal/exam English.
Paper & answer key PDFIn the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement". Since when (have to start) a business been so easy?
The sentence asks about the duration of a state — "Since when ... been so easy?" — which requires the present perfect structure "has/have + been." The grammatical subject is the gerund phrase "starting a business," which is singular and therefore takes has. The corrected sentence reads: "Since when has starting a business been so easy?" Hence option 3 is correct. "Has started" and "Have starting" produce ungrammatical structures, and "No improvement" leaves the original broken.
Paper & answer key PDFIn the following question, the sentence is given with a blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicateit by selecting the appropriate option. Ever since Anita lost her job, she has done _________ but wallow in self-pity.
The fixed idiom "done nothing but + bare verb" means "done only." It fits the sentence: "she has done nothing but wallow in self-pity" — i.e., the only thing Anita has done is wallow. "None," "no," and "never" do not pair with "done ... but" in standard English; "no" needs a following noun and "never" is an adverb of time, not the object of "done."
Paper & answer key PDF(the latter are ______ seen on the plains of Colorado, but are not common)
The clue "but are not common" signals occasional, infrequent sightings — so an adverb of frequency is needed. Sometimes means "occasionally / from time to time" and fits perfectly: "the latter are sometimes seen on the plains of Colorado, but are not common." Sometime refers to an unspecified future point, at time is ungrammatical, and any time means "whenever" — none convey frequency.
Paper & answer key PDFIn the following question, four words are given out of which one is correctly spelt. Select the correctly spelt word.
The word describes something damaged by moths and is formed from moth + eaten (past participle of "eat"). The correct closed-form spelling is Motheaten. Options 1–3 misspell the "eaten" portion as "eatan," "aten," or "atan," which are not valid English forms.
Paper & answer key PDFIn the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement". Those films (being) made now.
The subject "Those films" is plural and the adverb "now" signals the present continuous. The films are receivers of the action, so the passive form is needed: are + being + made. "Was being" is singular and past; "Is being" is singular; the original "being made" lacks an auxiliary. Only "are being" gives the correct sentence: "Those films are being made now."
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