RRB NTPC CBT 1 2016: উত্তরসহ প্রশ্ন

Twitter was founded in 2006 by Jack Dorsey, Evan Williams, Biz Stone and Noah Glass. Of the options, Evan Williams is a co-founder; Mark Zuckerberg founded Facebook and Tim Cook is Apple's CEO.

Women in India do live longer than men on average (about 70–72 years versus 68–69), so the assertion is true. But this is mainly due to biological factors and men's higher exposure to risks such as smoking, alcohol and occupational hazards, not to women receiving a better diet; in fact, many women in India are undernourished. So R is false.

CP per banana = 4/5 = Rs 0.80 and SP per banana = 5/4 = Rs 1.25. Profit = 0.45 on 0.80, so profit % = 0.45/0.80 × 100 = 56.25%.

Madhya Pradesh has the largest forest cover of any Indian state by area (about 77,000 sq km), followed by Arunachal Pradesh and Chhattisgarh, according to the India State of Forest Reports.

Butter is made from milk; a book is made from paper. The pair links a product with the raw material it is made of.

The astronomical unit (AU) is a unit of length equal to about 149.6 million km, roughly the average distance from the Earth to the Sun. It is used to measure distances within the Solar System.

Sublimation is the change of a solid directly into a gas without melting into a liquid, for example camphor, naphthalene balls, iodine and dry ice. The reverse change, gas directly to solid, is called deposition.

The AIIMS announced for Maharashtra in 2015 was set up at Nagpur (Mihan), in the Vidarbha region. It started its first MBBS batch in 2018.

BCG (Bacille Calmette–Guérin) vaccine protects against tuberculosis and is given to newborns in India. DPT protects against diphtheria, pertussis and tetanus, and the varicella vaccine against chickenpox.

35 = 5 × 7, the product of 5 and the next prime after it (7). In the same way, 7 is followed by the prime 11, and 7 × 11 = 77. So 7 : 77 has the same relationship.

Through two given points only one straight line can be drawn, so statement 1 is wrong. If the arms of one angle are parallel to the arms of another, the angles are either equal or supplementary, so statement 2, which says they are neither equal nor complementary, is also not a correct property. Both are not correct.

Shimla (about 2,200 m) is much colder than Delhi (about 200 m) because temperature falls with altitude, roughly 6.5 °C for every 1,000 m. So both statements are true, and the higher altitude is the reason Shimla is colder.

Seema is Anitha's mother-in-law and Anitha is Raja's wife, so Raja is Seema's son. With three men (Raja, Dinesh, Rohan) and two married couples, the other couple must be Seema and Dinesh, the father of Rohan and Bavya. So Rohan is Seema's son.

Known colours: Seema red, Bavya yellow, Rohan pink. Dinesh likes neither blue nor white, so he likes green. Raja does not use white, so he likes blue. The only colour left, white, belongs to Anitha.

Raja and Anitha are one married couple. Dinesh is the father of Rohan and Bavya, and Seema is the mother of Raja; with two couples and two unmarried children (Rohan and Bavya), the other couple is Dinesh and Seema.

DRIVER has 6 letters and is coded 5; BELIEVED has 8 letters and is coded 7. The code is the number of letters minus one, so EXAMINATION (11 letters) is coded 10.

Anil does 1/14 and Rohit 1/21 of the work a day, together 5/42. Rohit's last 3 days cover 3/21 = 1/7, so the two together did 6/7, taking (6/7) ÷ (5/42) = 36/5 days. Total time = 36/5 + 3 = 51/5 days.

Unscrambled, the words are ESAEIDS = DISEASE, EAHLTH = HEALTH, LISESNL = ILLNESS and CKSESNSI = SICKNESS. Disease, illness and sickness mean being unwell; health is the opposite, so EAHLTH is the odd one out.

Make B equal in both ratios: A : B = 3 : 4 = 9 : 12 and B : C = 6 : 5 = 12 : 10. So A = 9 and C = 10, A + C = 19, and A : (A + C) = 9 : 19.

Complementary angles add up to 90°. In the ratio 11 : 7 they are 90 × 11/18 = 55° and 90 × 7/18 = 35°. The smaller angle is 35°.

TCP stands for Transmission Control Protocol. Together with IP (as TCP/IP) it ensures data is delivered reliably and in the right order across the internet.

Salt in the solution = 5% of 30 = 1.5 litres. For this to be 3% of the new solution, its volume must be 1.5/0.03 = 50 litres. So 50 − 30 = 20 litres of water must be added.

In DIJOB → CHINA, each letter moves one step back. Decoding KBQBO the same way gives JAPAN, whose last letter is N.

'Some tall are peacocks' converts to 'Some peacocks are tall', so II follows. All birds are tall, but the tall ones that are peacocks may not be birds in this logic, so 'Some birds are peacocks' is not certain; I does not follow.

tan θ = height/shadow = h/(√3 h) = 1/√3, so θ = 30°.

Madurai, the temple city of Tamil Nadu (Meenakshi Amman Temple), stands on the banks of the Vaigai river. The Cooum flows through Chennai.

An engineer practises engineering; a doctor practises medicine. The pair links a professional with their field of work.

Morarji Desai, India's fourth Prime Minister (1977–79), received the Bharat Ratna in 1991. Other PMs with the award include Nehru, Shastri, Indira Gandhi, Rajiv Gandhi, Vajpayee and, more recently, Charan Singh and P. V. Narasimha Rao (2024).

An adult human body contains about 0.4% salt (sodium chloride) by weight, roughly 250 g in a 70 kg person. The sodium and chloride ions help maintain fluid balance, nerve signals and muscle function.

Singapore was known as Temasek ('sea town') in old Malay records, before it became Singapura ('lion city'). Ceylon is the old name of Sri Lanka, and Myanmar is the current name of Burma.

The angles 2x, 5x and 8x add to 15x = 180°, so x = 12°. The largest angle = 8 × 12 = 96°.

Charon is the largest moon of Pluto, about half Pluto's size; Pluto also has four small moons. Ganymede is Jupiter's moon, Triton is Neptune's, and Luna is our own Moon.

Each letter of GOAT moves 4 places forward: G→K, O→S, A→E, T→X, giving KSEX. WOLF becomes W→A, O→S, L→P, F→J, i.e. ASPJ.

Both 4211 and 361 end in 1, and any power of a number ending in 1 also ends in 1. So the product ends in 1 × 1 = 1.

The lights change together again after LCM(15, 18, 27, 30) seconds. 15 = 3 × 5, 18 = 2 × 3², 27 = 3³ and 30 = 2 × 3 × 5, so LCM = 2 × 3³ × 5 = 270 s = 4 min 30 s. Starting at 6:10:00, they next change together at 6:14:30.

Coefficient of variation = SD/mean × 100 = 7/21 × 100 ≈ 33.33%.

Michael Schumacher is a German racing driver who won a record-equalling seven Formula One World Championships, five of them with Ferrari.

Rupee, lira and dinar are names of national currencies. 'Coin' is just a form of money, not the name of a currency, so it is the odd one out.

Traditional clinical thermometers used mercury, a liquid metal that expands evenly with temperature. Mercury and its vapour are highly toxic, so digital thermometers are now preferred.

Machu Picchu, a 15th-century citadel high in the Andes of Peru, was built by the Inca Empire. Petra was built by the Nabataeans (Jordan), Hagia Sophia by the Byzantines (Istanbul), and the Acropolis by the ancient Greeks (Athens).

The Aam Aadmi Party was founded on 26 November 2012 by Arvind Kejriwal and others, out of the anti-corruption movement led by Anna Hazare.

A spoon looks bent in water because light rays bend as they pass from water into air, which is refraction. Light changes speed when it moves between media of different densities.

Henri Becquerel discovered radioactivity in 1896, when uranium salts fogged photographic plates without exposure to light. He shared the 1903 Nobel Prize in Physics with Marie and Pierre Curie.

The sword-billed hummingbird of the Andes is the only bird whose bill is longer than the rest of its body (excluding the tail). The long bill lets it feed on flowers with very long tubes.

2 h 20 min 24 s = 2 + 20/60 + 24/3600 = 2.34 h. At 10/9 of his speed he covers 39/2.34 ≈ 16.67 km/h. So his actual speed = 16.67 × 9/10 ≈ 15 km/h.

Lord Dalhousie, Governor-General from 1848 to 1856, applied the Doctrine of Lapse: a princely state whose ruler died without a natural heir would be annexed by the British. Satara, Jhansi and Nagpur were annexed this way.

Let Sonam be S and her father F. Eight years ago (S − 8)/(F − 8) = 1/3, so F = 3S − 16. After eight years S + 8 = (F + 8)/2, so F = 2S + 8. Equating: 3S − 16 = 2S + 8, giving S = 24 and F = 56.

Selling price after a 15% discount = 0.85 × printed price, and this equals 1.20 × cost price. So CP/printed price = 0.85/1.20 = 17/24.

Vienna, Austria, was ranked first for quality of living in the Mercer Quality of Living survey in 2017, as in 2016 and the years before. Zurich, Auckland and Munich followed close behind.

The Battle of Chillianwala was fought on 13 January 1849 during the Second Anglo-Sikh War, in present-day Pakistan. It was one of the bloodiest battles the British fought in India, and the war ended with the annexation of Punjab.

Replacing the letters, 28 Z 7 W 8 X 6 Y 4 becomes 28 ÷ 7 × 8 − 6 + 4. Division and multiplication first: 28 ÷ 7 = 4 and 4 × 8 = 32. Then 32 − 6 + 4 = 30.

Replacing the symbols ('>' → +, '@' → ÷, '<' → −), 27 > 81 @ 9 < 6 becomes 27 + 81 ÷ 9 − 6. Division first: 81 ÷ 9 = 9. Then 27 + 9 − 6 = 30.

With × → −, − → ×, + → ÷ and ÷ → +, the expression 15 − 2 ÷ 900 + 90 × 100 becomes 15 × 2 + 900 ÷ 90 − 100. Multiplication and division first: 30 and 10. Then 30 + 10 − 100 = −60.

Counting 31 posts means passing 30 gaps between them: 30 × 60 = 1,800 m in 60 seconds, i.e. 30 m/s. Converting: 30 × 18/5 = 108 km/h.

The Dilwara temples at Mount Abu, Rajasthan, are Jain temples famous for exquisite white-marble carving. The oldest, the Vimal Vasahi temple dedicated to Adinath, was built in 1031 by Vimal Shah, a minister of the Solanki king Bhima I.

In 1980 Prakash Padukone became the first Indian to win the men's singles title at the All England Badminton Championships. Pullela Gopichand was the second, in 2001.

'Amy', a documentary about singer Amy Winehouse directed by British filmmaker Asif Kapadia (of Indian origin), won the Academy Award for Best Documentary Feature at the 2016 Oscars.

Disposable income is what a person has left after paying income taxes; it is available for spending and saving. Economists use it to study consumption and savings.

The Cray-1, designed by Seymour Cray and installed in 1976 at Los Alamos National Laboratory, was one of the first and most successful supercomputers. Acorn Atom, PET and PCW were small personal computers.

For five consecutive even numbers, the average is the middle number: 40. So the numbers are 36, 38, 40, 42 and 44, and the smallest is 36.

India's first supercomputer series, PARAM (PARAM 8000, 1991), was developed by C-DAC in Pune under Dr. Vijay Bhatkar.

Doubling in 10 years means the simple interest in 10 years equals P. In 20 years the interest is 2P, so the amount = P + 2P = 3P.

Use the identity x³ + y³ + z³ − 3xyz = (x + y + z)(x² + y² + z² − xy − yz − zx). With x = a, y = c and z = 1, the expression a³ + c³ + 1 − 3ac has the factor a + c + 1, which is 0. So the value is 0.

49 = 7² and 81 = 9²; the second number is the square of a number 2 more. 100 = 10², so the answer is 12² = 144.

(x³ − y³)/(x − y) = x² + xy + y². Since (x + y)² − xy = x² + 2xy + y² − xy = x² + xy + y², and this is given to be 0, the value is 0.

Novels, poems and short stories are all kinds of writing published in books, so 'books' is the class to which the other three belong.

Let the ladder's length be L and its foot be d m from the wall, so L² = 9² + d². After moving 3 m further the ladder lies flat along the floor, reaching the foot of the wall, so L = d + 3. Then (d + 3)² = 81 + d², i.e. 6d + 9 = 81, so d = 12 and L = 15 m.

Samuel Hahnemann, a German physician, founded homeopathy in 1796 on the principle 'similia similibus curentur' — like cures like: a substance that causes symptoms in a healthy person can, in tiny doses, treat similar symptoms in a sick person.

Total sales in 2006 = 480 + 410 + 390 + 380 + 440 = 2,100 thousand. M's share = 410/2100 × 100 ≈ 19.5%.

Change from 2009 to 2010: L 520 → 510 (a fall), M 420 → 430 (+2.4%), N 420 → 495 (+17.9%), P 425 → 435 (+2.4%). N shows the largest percentage increase.

Comparing the options: L in 2009 = 520, L in 2010 = 510, L in 2008 = 500 and O in 2008 = 415 (thousand). The highest is L in 2009.

Interchanging + and − and the numbers 3 and 5 turns 3 + 5 − 2 = 4 into 5 − 3 + 2 = 4, which is true. The other interchanges do not give 4.

Chittorgarh was the capital of the Sisodia Rajputs of Mewar (a branch of the Guhilas), the dynasty of Rana Kumbha, Rana Sanga and Maharana Pratap. Udai Singh II later founded Udaipur as the new capital.

'Freestyle' is a swimming event in which swimmers may use any stroke; almost everyone uses the front crawl because it is the fastest. The term is also used in wrestling, but of the options only swimming fits.

Together they do 1/5 of the work a day and Binay alone 1/8. So Atul does 1/5 − 1/8 = 3/40 a day and needs 40/3 days alone.

Smartphone users in India grew very rapidly in the 2010s. The spread of good 3G and 4G coverage together with cheap data and affordable phones (especially after 2016) is the main reason, so R correctly explains A.

Dividend = divisor × quotient + remainder = (x + 2)(4x − 5) + 12 = 4x² − 5x + 8x − 10 + 12 = 4x² + 3x + 2.

Karikala Chola (around the 2nd century AD) is regarded as the greatest of the early Sangam-age Chola kings. He is remembered for the Grand Anicut (Kallanai) dam on the Kaveri and for victories over the Cheras and Pandyas.

Density is mass per unit volume (ρ = m/V), measured in kg/m³. Pressure is force per unit area.

The BRICS Development Bank was renamed the New Development Bank (NDB). It was set up in 2014–15 by Brazil, Russia, India, China and South Africa, has its headquarters in Shanghai, and its first president was K. V. Kamath of India.

Each code is the letter's alphabet position plus 6: M 13 + 6 = 19, A 1 + 6 = 7, C 3 + 6 = 9, and so on. So DANGER = D 10, A 7, N 20, G 13, E 11, R 24, i.e. 10-7-20-13-11-24.

Interest on Rs 800 for 3 years at 4.5% = 800 × 4.5 × 3/100 = Rs 108. The sum needed at 8% for 9 years: P × 8 × 9/100 = 108, so P = 108 × 100/72 = Rs 150.

Under Article 66, a Vice-President must be a citizen of India, at least 35 years old and qualified for election to the Rajya Sabha. Being a member of the Lok Sabha is not required; in fact, a member of Parliament who becomes Vice-President must vacate the seat.

Exactly two games = (Cricket & Football − all three) + (Cricket & Volleyball − all three) + (Volleyball & Football − all three) = (10 − 5) + (9 − 5) + (12 − 5) = 5 + 4 + 7 = 16.

By inclusion–exclusion, students playing at least one game = 25 + 30 + 24 − 10 − 9 − 12 + 5 = 53. So 60 − 53 = 7 play none.

Cricket only = total cricket − cricket and football only − cricket and volleyball only − all three = 25 − 5 − 4 − 5 = 11.

The Moon is a satellite (it orbits a planet); the Earth is a planet (it orbits the Sun). The pair links a body with its category.

Let the cylinder cost x, so the stove costs 4500 − x. Overall SP = 1.25x + 0.8(4500 − x) = 1.04 × 4500 = 4,680. So 0.45x + 3600 = 4680, giving 0.45x = 1080 and x = Rs 2,400.

The name 'Earth' comes from Old English 'eorþe' (and the Germanic 'erþō'), meaning ground or soil. It is the only planet whose English name does not come from Greek or Roman mythology.

Carrots are rich in beta-carotene, which the body converts into vitamin A, needed for good eyesight. Other good sources are spinach, mangoes, papaya, milk and eggs.

If the price rises by 35%, consumption must fall by 35/(100 + 35) × 100 = 35/135 × 100 ≈ 25.9% ≈ 26% to keep spending the same.

Original total = 10 × 13 = 130, and the new total = 12 × 14 = 168. The two new observations add to 168 − 130 = 38, so their mean is 19.

Variance is the square of the standard deviation: 6.5² = 42.25.

ROUWBR = BURROW, EDN = DEN and ETNS = NEST are homes of animals. ORFO = ROOF is a part of a building, not an animal's home, so it is the odd one out.

Multiples of 7 between 15 and 85 run from 21 (7 × 3) to 84 (7 × 12). That is 12 − 3 + 1 = 10 numbers.

Frederick Winslow Taylor founded Scientific Management (around 1911), which studies tasks scientifically to raise efficiency. Henri Fayol developed the Administrative Management approach, focusing on principles of managing the whole organisation.

Karl Landsteiner, an Austrian scientist, discovered the ABO blood group system in 1901, which made safe blood transfusions possible. He received the 1930 Nobel Prize in Medicine.

Approximate: 5.168 × 3.194 ≈ 5.2 × 3.2 ≈ 16.5, and 4453/4224 ≈ 1.05, so the numerator over 4224 ≈ 17.4. Dividing by 68 gives about 17.4/68 ≈ 0.26, closest to 0.2.

HCF × LCM = product of the numbers: 19 × 665 = 12,635. The other number = 12635/95 = 133.

West Bengal has the largest mangrove area in India, mainly in the Sundarbans delta of the Ganga–Brahmaputra, about 42% of the country's mangrove cover. Gujarat and the Andaman and Nicobar Islands come next.