RRB NTPC CBT 1 2016: উত্তরসহ প্রশ্ন

In FRUIT → WKHTI each letter is replaced by its opposite letter (A↔Z, B↔Y, …) and then moved 2 places forward: F→U→W, R→I→K, U→F→H, I→R→T, T→G→I. For MUSKMELON: M→N→P, U→F→H, S→H→J, K→P→R, M→N→P, E→V→X, L→O→Q, O→L→N, N→M→O = PHJRPXQNO.

Simlipal National Park and Biosphere Reserve is in Mayurbhanj district, Odisha; it is a tiger reserve and part of UNESCO's biosphere network.

sin θ tan θ − sec θ = sin²θ/cos θ − 1/cos θ = (sin²θ − 1)/cos θ = −cos²θ/cos θ = −cos θ.

Swami Vivekananda represented India and Hinduism at the World's Parliament of Religions in Chicago in September 1893, opening with 'Sisters and Brothers of America'.

The series is 7 × (1, 2, 3, …). Sum of n terms = 7n(n + 1)/2 = 952, so n(n + 1) = 272 = 16 × 17, giving n = 16 terms.

Distance = 62 × 2.5 + 68 × 1.25 = 155 + 85 = 240 km in 3.75 hours. Average speed = 240/3.75 = 64 km/h.

Some monuments are watches and no time is a watch. The monuments that are not watches may or may not be time, so 'No monument is time' is not certain (I fails). 'Some monuments are watches' cannot become 'all watches are monuments' (II fails). Neither follows.

The angles at the centre of a circle total 360°. Six equal parts give 360/6 = 60° each.

Anshu Gupta, 2015 Ramon Magsaysay Award winner, founded Goonj, which recycles old clothes and materials for rural communities.

FOCUS → IRFXV moves every letter 3 places forward. CAPTURE → F D S W X U H = FDSWXUH.

Rabat is the capital of Morocco; Windhoek is the capital of Namibia.

Pedology is the study of soils in their natural setting (formation, classification and mapping).

A vector has both magnitude and direction. Velocity is a vector; mass, temperature and length are scalars.

Store marked price = 16725/0.78 ≈ Rs 21,442.31. Online marked price = 15685/0.85 ≈ Rs 18,452.94. Difference ≈ Rs 2,989.

In state O, 100 − 26 = 74% are above the poverty line, and males are 4/7 of them: 74 × 4/7 ≈ 42.29% of the population. 1.7 million = 42.29%, so the total is 1.7/0.4229 ≈ 4.02 million.

N: males below the line are 3/5 of 30% = 18% of the population, so the total is 2.6/0.18 ≈ 14.44 million and the below-line population 4.33 million. Q: males below are 2/5 of 20% = 8%, so the total is 75 million and below-line 15 million. Ratio 4.33 : 15.

In P, 100 − 17 = 83% are above the poverty line: 0.83 × 9 = 7.47 million. Females are 5/9 of them: 7.47 × 5/9 = 4.15 million.

Distilled water has no dissolved salts. A freshwater or marine fish placed in it gains water by osmosis, diluting its body fluids and upsetting its salt balance, so it cannot survive for long.

Snooker uses 22 balls: the white cue ball, 15 reds and 6 colours (yellow, green, brown, blue, pink, black).

SP = 95% of the marked price, so MP = 5871/0.95 = Rs 6,180.

5 + 2 = 7 parts = 49 years, so 1 part = 7: the son is 14. After 5 years he will be 19.

Mucilage, a thick gluey substance from plants, mixed with water makes a gum or glue (for example, gum arabic).

Taxonomy is the branch of biology that identifies, names and classifies organisms; Linnaeus is its father.

(5x² − 6x + 5) − (−x² − x + 8) = 5x² + x² − 6x + x + 5 − 8 = 6x² − 5x − 3.

Petrichor is the earthy smell after rain on dry ground, caused by plant oils and geosmin produced by soil bacteria.

Cows are not mentioned in the statements, so neither 'some cows are camels' nor 'all lions are cows' can be concluded.

WMV (Windows Media Video) is a video compression format. MP3 and WMA are audio formats and JPEG is an image format.

Black (regur) soil of the Deccan retains moisture and is rich in lime and iron, making it ideal for cotton; it is called black cotton soil.

The wheels cover the same distance only when each completes a whole number of turns, so the distance is a common multiple of 16, 24, 32 and 40. The least such distance is their LCM, 480 cm.

Heights: Sera > Bella > Phila > Amy, and Emma and Diya are both shorter than Amy. The shortest is therefore Emma or Diya; of the options, only Diya fits.

Phila is taller than Amy, who is taller than Emma and Diya, so Amy, Emma and Diya are all shorter than Phila.

In descending order of height: Sera, Bella, Phila, Amy, then Emma and Diya. The fourth from the top is Amy.

Water is densest at about 4 °C (1000 kg/m³). Below this it expands, which is why ice floats and lakes freeze from the top.

Hieroglyphics was the ancient Egyptian writing system of picture symbols, deciphered from the Rosetta Stone by Champollion in 1822.

On the curves and loops of a roller coaster a centripetal force, directed towards the centre of the curve, keeps the cars moving in a circular path.

Statement i says M's daughter is O's granddaughter, so M is O's child (or child-in-law); statement ii tells us N is M's brother. Only with both can we place N as O's son, as per the official key.

'Cricket is a religion in India and (P) it is known to all (S) most of the other sports suffer (Q) due to the extra importance given to cricket as a game (R)' = PSQR.

25 ÷ (3 + 7) = 2.5 and 2 × 6 = 12, so 13 + 2.5 − 12 = 3.5.

In 6 days B does 6/15 = 2/5 of the work, leaving 3/5. A alone takes 3/5 × 20 = 12 days.

From GARDEN = 562701: A 6, R 2, E 0. From FOREST = 342098: S 9, T 8. ARREST = 6 2 2 0 9 8 = 622098.

Surface area of a cube = 6a² = 6 × 4² = 96 cm².

In a star topology every node is connected directly to a central hub or computer.

The Taklamakan Desert lies in the Tarim Basin of Xinjiang, north-west China.

SI = P × 7 × 3/100 = 18,900, so P = Rs 90,000. CI = 90000 × (1.07³ − 1) = 90000 × 0.225043 ≈ Rs 20,254.

Cutting onions releases syn-propanethial-S-oxide, a sulphur compound that irritates the eyes and makes them water.

At the Delhi Durbar of December 1911 King George V announced the transfer of the capital from Calcutta to Delhi; New Delhi was inaugurated in 1931.

'India is a leading producer of (Q) dairy products by volume (S) milk is the most important of them and (R) is mostly produced in rural farms (P)' = QSRP.

Tyrannosaurus rex means 'tyrant lizard king' (Greek tyrannos + sauros, Latin rex).

tan A + cot A = 2 gives (tan A + cot A)² = 4 = tan²A + cot²A + 2, so tan²A + cot²A = 2.

492 + 12 = 504 marks would be 84%, so the maximum marks = 504/0.84 = 600.

Outer radius 11 m, inner radius 4 m. Ring area = π(11² − 4²) = 22/7 × 105 = 330 m².

13 ÷ 55 = 0.2363…, i.e. about 0.236.

All chairs are windows and no window is a door, so no chair is a door (I fails) and 'no door is a window' follows by conversion (II follows).

The smallest prime is 2. Multiplying 2 by any non-zero whole number always gives an even number.

From PAINT = 21563: A 1, T 3. From SHOT = 8503: S 8, O 0. TOAST = 3 0 1 8 3 = 30183.

Speed = 435/2.5 = 174 km/h = 174 × 5/18 ≈ 48.3 m/s.

Z's 1/6 share = Rs 1,76,802, so the total is Rs 10,60,812 and Y's 1/2 share is Rs 5,30,406.

'Sometimes, a US dollar is worth only 12 pesos in Mexico (Q) and some other time it can be 100 pesos (S); the rates of exchange between them vary from time to time (R), mostly decided by the market conditions (P)' = QSRP.

The 1946 Cabinet Mission consisted of Lord Pethick-Lawrence (Secretary of State for India), Sir Stafford Cripps and A. V. Alexander.

The boy's uncle's father is the boy's grandfather, whose son is the boy's father (or uncle). The girl is that man's daughter, i.e. the boy's sister, as per the official key.

People in a joint family (circle) who are neither unmarried (outside the rectangle) nor doctors (outside the triangle) are in the part of the circle alone, marked 1.

Unmarried doctors living in a joint family are in the region common to the circle, rectangle and triangle, marked 4.

Unmarried people in a joint family who are not doctors are inside the circle and rectangle but outside the triangle, marked 2.

Brij Bhushan Sharan Singh, president of the Wrestling Federation of India, was also president of the South Asian Wrestling Federation in 2016.

√32 − √18 = 4√2 − 3√2 = √2 and √50 + √8 = 5√2 + 2√2 = 7√2. The ratio is √2/7√2 = 1/7.

Kaushalya is the mother of Ram; Kunti is the mother of Karna.

A page is a part of a book; a window glass (pane) is a part of a window.

Sterling silver is at least 92.5% pure silver (925 parts per thousand), the rest usually copper.

Tata Motors renamed its hatchback 'Zica' as 'Tiago' in 2016 because of the Zika virus outbreak.

M − C means C's brother is M; C % F means C is F's daughter; F % N means F is N's daughter. So M is the son of N's daughter, i.e. N's grandson.

Value of stock = 274 × 252 + 197 × 280 + 54 × 316 = 69,048 + 55,160 + 17,064 = Rs 1,41,272. The 525 kg mixture sells for 525 × 283.50 = Rs 1,48,837.50, a profit of Rs 7,565.50.

Solar flares are sudden, brief bursts of energy and radiation from the Sun's surface (photosphere and chromosphere), often near sunspots.

The consumer rights recognised internationally include the rights to safety, information, choice, being heard, redress and consumer education. A 'right to contest' is not one of them.

In 2016 Ghulam Nabi Azad of the Congress was Leader of the Opposition in the Rajya Sabha (2014–2021).

With 10 values, the median is the average of the 5th and 6th: (x + 1 + x + 3)/2 = x + 2 = 17, so x = 15.

Girls = 5/8 × 48 = 30. 16.67% (one-sixth) are absent, so 30 − 5 = 25 are present.

Cheerful is the opposite of sad; tolerant (accepting) is the opposite of protesting, as per the official key.

Kollam (Quilon) in Kerala was known in ancient and medieval times as 'Desinganadu', the seat of the Desinganadu kingdom.

In the second year, CI exceeds SI by the interest on the first year's interest: 23465 × (0.075)² = 23465 × 0.005625 ≈ Rs 132.

Every formula in an Excel cell begins with the equals sign (=), for example =SUM(A1:A5).

(a − b)² = a² + b² − 2ab gives 25 = 31 − 2ab, so 2ab = 6 and ab = 3.

Temple Trees in Colombo is the official residence of the Prime Minister of Sri Lanka.

The Tirukkural, a classic Tamil work of 1,330 couplets on ethics and life, was composed by Tiruvalluvar.

Total stock = 1200 × 20 = 24,000 child-days. After 6 days, 16,800 child-days remain. With 1200 − 180 = 1020 children, it lasts 16,800/1020 ≈ 16.5 days.

RPNL, ZXVT and JHFD each go back two letters at every step. In CAWV the steps are −2, −4, −1, so it is the odd one.

Goodwill is an intangible asset: it has value (reputation, customer loyalty) but no physical form. Receivables, stock and cash are tangible current assets.

World Wildlife Day is observed on 3 March, the day CITES (the Convention on International Trade in Endangered Species) was signed in 1973.

Total work = 42 × 25 = 1050 worker-days. In 10 days 420 is done, leaving 630, which must be done in 10 days by 63 workers. With 42 − 12 = 30 remaining, 33 more are needed.

The number divides 1250 − 4 = 1246 and 1615 − 5 = 1610. HCF(1246, 1610) = 14.

In February 2016 the BCCI banned Pakistani umpire Asad Rauf for five years for corruption linked to the 2013 IPL.

Aryabhata, India's first satellite, was launched on 19 April 1975 from the Soviet Union.

Methane burns in oxygen to give carbon dioxide and water: CH₄ + 2O₂ → CO₂ + 2H₂O.

After 35% tax, 65% of the prize remains; the seller gets 1/8 of that: 0.65 × L/8 = 22,343.75, so L = 22,343.75 × 8/0.65 = Rs 2,75,000.

Former Chief Justice H. L. Dattu became chairman of the National Human Rights Commission in February 2016.

The Eighth Schedule of the Constitution lists 22 languages, recognised as the official languages of the Union, as per the official key.

Rakesh Sharma flew to the Salyut 7 space station aboard the Soviet spacecraft Soyuz T-11 in April 1984.

Exponents: (x⁴)^(3−2a) = x^(12−8a); (x^(2a+1))^a = x^(2a²+a); (x^(3a−5))² = x^(6a−10); (x^(a+1))^(2a−1) = x^(2a²+a−1). Total exponent = 12 − 8a + 2a² + a − 6a + 10 − 2a² − a + 1 = 23 − 14a, so the answer is x^(23−14a).

The first British Empire Games (now the Commonwealth Games) were held in Hamilton, Ontario, Canada, in 1930.

N = 6k + 4, so 2N = 12k + 8 = 6(2k + 1) + 2. The remainder is 2.

The letters move 3 places forward (G, J, M, P, S) and the numbers are 2n²: 2, 8, 18, 32, 50. The missing term is M18.