RRB NTPC CBT 1 2016: উত্তরসহ প্রশ্ন

The Richter scale was developed in 1935 by Charles Richter with Beno Gutenberg. It is logarithmic (each whole number is ten times the amplitude of the one below), and the shaking it uses is recorded by seismometers. A magnitude of 8–9 is a great, highly destructive earthquake; micro-earthquakes are below magnitude 2. So statement D is false.

From the graph: Student 1 = 8, Student 3 = 10, Student 4 = 6 and Student 5 = 7. Students 3 and 5 together scored 10 + 7 = 17, and students 4 and 1 scored 6 + 8 = 14. The difference is 17 − 14 = 3 points.

A modem (modulator–demodulator) converts a computer's digital signals into analog signals that can travel over telephone or cable lines (modulation), and converts incoming analog signals back to digital (demodulation).

N : 38 = 3 : 57 means N/38 = 3/57 = 1/19. So N = 38/19 = 2.

Distance = 50 km/h × 5½ h = 275 km. At 55 km/h the time is 275/55 = 5 hours. Time saved = 5½ − 5 = ½ hour = 30 minutes.

7 − 4√3 = 4 − 4√3 + 3 = (2 − √3)², so √x = 2 − √3. Then 1/√x = 1/(2 − √3) = (2 + √3)/(4 − 3) = 2 + √3. Adding: √x + 1/√x = (2 − √3) + (2 + √3) = 4.

The Yamuna (about 1,376 km) is the longest river in India that does not flow directly into a sea: it joins the Ganga at Prayagraj (Allahabad). The Ganga, Tapti and Kaveri all end in a sea.

Rice is the most widely cultivated crop in India by area. It is the main kharif crop, grown across the eastern, southern and coastal states, and India is the world's second-largest producer of rice after China.

The international benchmark price of gold is set in London by the London Bullion Market (the LBMA Gold Price, formerly the London Gold Fix). Banks and traders worldwide use this price as the reference.

The young ones of the elephant, camel, buffalo and giraffe are all called calves. All four are mammals, their milk (camel and buffalo, for example) is consumed by people, and elephants, camels and giraffes do not have true horns like buffaloes.

Put y = 1: 1 = (2x − 1)/(x + 3). Then x + 3 = 2x − 1, so x = 4.

Vitamin K is essential for blood clotting: the liver needs it to make several clotting factors (such as prothrombin). A deficiency causes excessive bleeding. Vitamin D is for calcium absorption and bones, Vitamin A for vision, and Vitamin E is an antioxidant.

Interchanging + and ×, 9 ÷ 5 + 10 − 23 × 2 becomes 9 ÷ 5 × 10 − 23 + 2. Division and multiplication from left to right: 9 ÷ 5 = 1.8 and 1.8 × 10 = 18. Then 18 − 23 + 2 = −3.

The wire's length equals the rectangle's perimeter: 2 × (42.7 + 21.8) = 2 × 64.5 = 129 m. Bent into a square, each side = 129/4 = 32.25 m.

In the 2015 Swachh Bharat cleanliness survey of 476 cities by the Ministry of Urban Development, Mysuru (Mysore) in Karnataka was ranked the cleanest city in India.

Iceland topped the 2015 Global Peace Index (published by the Institute for Economics and Peace) as the most peaceful country, a position it has held every year since 2008. Denmark and Austria followed.

The idea behind the Chipko movement goes back to the Bishnoi community of Rajasthan: in 1730 at Khejarli, Amrita Devi and over 360 Bishnois died hugging trees to stop them being cut. The modern Chipko movement began in 1973 in the Uttarakhand Himalayas.

ORIN = IRON, POPCER = COPPER and DLOG = GOLD are all metals. NADA cannot be rearranged into a metal (it gives words like DANA), so it is the odd one out.

In the diagram, Jupiter's circle lies inside Mars' circle and Mercury's circle overlaps both. Kids who like only Mars are in the region of Mars alone: 14. Kids who like all three are in the common region of the three circles: 13. Ratio = 14/13.

Mercury's circle contains 10 + 12 + 13 = 35 kids. Jupiter's circle contains 13 + 16 = 29 kids. The difference = 35 − 29 = 6.

Everyone who likes Jupiter also likes Mars, because Jupiter's circle is inside Mars'. Kids who like both are the whole Jupiter circle: 13 + 16 = 29.

Kampala is the capital and largest city of Uganda, near the northern shore of Lake Victoria. Mogadishu is the capital of Somalia and Lusaka of Zambia.

Madhubani (Mithila) painting is a folk art from the Mithila region of Bihar. It is traditionally made by women with natural colours, using fingers, twigs and brushes, and shows gods, nature and wedding themes in bold lines and geometric patterns.

'Planet Nine' is a hypothetical large planet in the far outer Solar System, beyond Neptune, proposed in January 2016 by Konstantin Batygin and Mike Brown. They proposed it to explain the unusual clustering of the orbits of distant Kuiper Belt objects; it has not yet been observed.

OS X (macOS), Windows 7 and DOS are operating systems: they manage the computer's hardware and run programs. C++ is a programming language used to write software, not an operating system.

The LCM of 12, 24, 48, 60 and 96 is 480 (= 2⁵ × 3 × 5). The smallest 5-digit number is 10,000, and 10000 ÷ 480 ≈ 20.8, so the next multiple is 480 × 21 = 10,080.

Convert decimetres to metres: 65 dm = 6.5 m and 30 dm = 3 m. Area = 6.5 × 3 = 19.5 sq. m. Cost = 19.5 × 45 = Rs 877.50.

Bacterial infections are usually treated with antibiotics such as penicillin and amoxicillin, which kill bacteria or stop them multiplying. Antibodies and antigens are parts of the immune response, and aspirin is a pain reliever. Antibiotics do not work against viruses.

Ages are 5x and 2x with 7x = 63, so x = 9: Jai is 45 and Joy is 18. After 9 years they will be 54 and 27, and the ratio = 54 : 27 = 2 : 1.

Selling 90 chocolates for Rs 160 gives a 20% loss, so CP = 160/0.8 = Rs 200 for 90, i.e. Rs 20/9 each. For a 20% profit, SP per chocolate = 1.2 × 20/9 = Rs 8/3. For Rs 96 he should sell 96 ÷ 8/3 = 36 chocolates.

An archipelago is a group, chain or cluster of islands, such as the Andaman and Nicobar Islands, Lakshadweep, Indonesia or the Philippines.

Place the six animals round a hexagon. The horse is opposite the pig, and the goat is next to the pig. The cow cannot be next to the donkey or the dog, so its only possible place is between the goat and the horse; the donkey and the dog fill the two places on the other side. So the cow is tied immediately next to the horse, i.e. to the immediate left of the horse.

From the arrangement, the cow sits between the goat and the horse, so the donkey and the dog must take the two places between the horse and the pig on the other side. That makes the donkey and the dog neighbours.

The place on the pig's left is one of the two places taken by the donkey and the dog, but nothing in the conditions tells us which of them is there. So it cannot be determined.

Sabari Karthik is an Indian karate champion from Tamil Nadu who has won national and international karate medals, including at the Asian and Commonwealth karate championships.

Nitrous oxide (N₂O) is called laughing gas because inhaling it produces euphoria and mild laughter. It is used as an anaesthetic and pain reliever in medicine and dentistry.

The traditional names are 25th = Silver, 40th = Ruby, 50th = Golden and 60th = Diamond Jubilee. The 65th anniversary is the Sapphire (Blue Sapphire) Jubilee, so '65th anniversary : Diamond Jubilee' is the odd, incorrect pair.

Convert everything to per-kg and per-litre prices. Shop O: milk Rs 11.5 per half litre = Rs 23/litre, tomato Rs 21 per half kg = Rs 42/kg (between 40 and 45), grapes Rs 43 per half kg = Rs 86/kg (between 80 and 90); all fit. Shop S charges Rs 24 for milk, shop H Rs 25, and shop P's tomatoes are Rs 47/kg, so only shop O works.

M. S. Swaminathan is called the 'Father of the Green Revolution in India'. In the 1960s he led the introduction of high-yielding varieties of wheat and rice, which made India self-sufficient in food grains. The White Revolution (milk) was led by Verghese Kurien.

The sum of the 15 marks is 41 + 39 + 52 + 48 + 54 + 62 + 46 + 52 + 40 + 96 + 42 + 40 + 98 + 60 + 52 = 822. Mean = 822 ÷ 15 = 54.8.

(−4.6) × (−4.6) = 21.16 (negative × negative is positive). The bracket is −4.6 + 0.6 = −4. So 21.16 ÷ (−4) = −5.29.

Indian currency notes are printed at the Currency Note Press in Nashik (Maharashtra), the first to be set up, in 1928. Notes are also printed at Dewas, Mysuru and Salboni.

Cost per metre = 60¾ ÷ 4½ = (243/4) ÷ (9/2) = 243/4 × 2/9 = 27/2 = Rs 13½.

In January 1610 Galileo discovered four large moons of Jupiter: Io, Europa, Ganymede and Callisto, now called the Galilean moons. It was the first evidence of objects orbiting a body other than the Earth.

Mica occurs abundantly in the Koderma–Gaya–Hazaribagh belt, historically part of Bihar (now largely Jharkhand), which was famous as the world's leading source of mica. Andhra Pradesh and Rajasthan also have deposits.

Each letter takes its alphabet position: X = 24 and BE = 2 + 5 = 7. RING = R 18 + I 9 + N 14 + G 7 = 48.

Two consecutive odd numbers are n and n + 2. Since √399 ≈ 20, try 19 and 21: 19 × 21 = 399. So the smaller number is 19.

The Dibrugarh–Kanyakumari Vivek Express is India's longest train route, about 4,200 km from Dibrugarh in Assam to Kanyakumari in Tamil Nadu, taking around 80 hours.

The passage separates the state's obligations to citizens (the Directive Principles) from the rights citizens are entitled to (the Fundamental Rights). Directive Principles are duties or responsibilities of the state, guiding it in governance; they are not rights enforceable by citizens. So the conclusion that Directive Principles are obligations to be fulfilled by the state follows.

The Siberian ibex (Capra sibirica) is a large, heavily built wild goat of the mountains of Central Asia, including Ladakh and Himachal in India. Males have huge backward-curving horns.

Let each chair cost Rs 1, so the CP of 25 chairs = Rs 25, which equals the SP of 20 chairs. SP per chair = 25/20 = Rs 1.25. Profit % = 0.25/1 × 100 = 25%.

Take CP = 100. Marked price = 120. After a 5% discount, SP = 120 × 0.95 = 114. Profit = 14%.

Swadeshi means 'of one's own country': goods made in India from materials produced in India. The Swadeshi Movement (from 1905, against the Partition of Bengal) urged people to boycott foreign goods and use Indian ones.

Oxidation is the loss of electrons, and reduction is the gain of electrons (remember OIL RIG: Oxidation Is Loss, Reduction Is Gain). For example, Na → Na⁺ + e⁻ is oxidation.

The Maasai Mara National Reserve is in south-western Kenya, adjoining Tanzania's Serengeti. It is famous for the annual Great Migration of wildebeest and zebra.

For 2 full years compounded annually: 7500 × 1.12² = Rs 9,408. For the remaining 4 months (1/3 year) at 12%, interest = 9408 × 12% × 1/3 = 9408 × 0.04 = Rs 376.32, giving an amount of Rs 9,784.32. CI = 9784.32 − 7500 ≈ Rs 2,284.

Geography: (68 + 65 + 69 + 70)/4 = 272/4 = 68. History: (65 + 75 + 70 + 65)/4 = 275/4 = 68.75. So the averages are 68 and 68.75.

Average in Science = (80 + 85 + 88 + 87)/4 = 340/4 = 85. Average in Maths = (75 + 80 + 82 + 78)/4 = 315/4 = 78.75. Science is higher by 85 − 78.75 = 6.25 marks.

Totals over six subjects: Shamita 75 + 80 + 65 + 68 + 72 + 65 = 425; Smita 80 + 85 + 75 + 65 + 70 + 70 = 445; Shilpa 82 + 88 + 70 + 69 + 71 + 70 = 450; Sheela 78 + 87 + 65 + 70 + 75 + 74 = 449. Shilpa has the highest total.

n = secθ + cosecθ = 1/cosθ + 1/sinθ = (sinθ + cosθ)/(sinθ cosθ) = m/(sinθ cosθ). So m/n = sinθ cosθ.

M is the son of both N and P. P is M's father, so N must be M's mother. Therefore N is P's wife. (O, N's father, is just extra information.)

Sepak takraw, also called kick volleyball, is a sport from South-East Asia (Malaysia, Thailand). Players use their feet, knees, chest and head, but not their hands, to send a rattan or plastic ball over a net.

Z's daily work = 1/18 − 1/36 − 1/60. Over a common denominator of 180: (10 − 5 − 3)/180 = 2/180 = 1/90. So Z alone takes 90 days.

Sri Lanka has two capitals. Sri Jayawardenepura Kotte is the official legislative capital, where Parliament sits. Colombo is the commercial capital and seat of the executive and judiciary, home to the Supreme Court. So the judicial capital is Colombo.

Over a common denominator: [sin²θ + (1 + cosθ)²] / [sinθ(1 + cosθ)] = [sin²θ + cos²θ + 1 + 2cosθ] / [sinθ(1 + cosθ)] = (2 + 2cosθ) / [sinθ(1 + cosθ)] = 2(1 + cosθ) / [sinθ(1 + cosθ)] = 2/sinθ.

The Panchatantra, a collection of animal fables teaching practical wisdom (niti), is traditionally credited to Vishnu Sharma, who is said to have composed it around the 3rd century BC to educate the sons of a king.

India's nuclear tests at Pokhran in May 1998 were code-named Operation Shakti (Pokhran-II). The first test, in 1974, was code-named 'Smiling Buddha'. 11 May is now observed as National Technology Day.

Penguins are birds, but they live in the cold Southern Hemisphere, mainly in Antarctica, not in the hottest regions, so A is false. Birds of hot regions, such as sparrows, kites and ostriches, do have wings, so R is also false. Both are false.

Anjolie Ela Menon is a celebrated Indian painter and muralist, known for her figurative paintings with glowing, Byzantine-icon-like colours. She was awarded the Padma Shri in 2000.

Let the number be 10a + b with a + b = 9. Adding 27 swaps the digits: 10a + b + 27 = 10b + a, so 9(b − a) = 27 and b − a = 3. With a + b = 9, a = 3 and b = 6, so the number is 36 (36 + 27 = 63).

The differences between terms are perfect squares: 14 − 13 = 1, 18 − 14 = 4, 27 − 18 = 9, then 16, 25, 36. So the missing term = 27 + 16 = 43 (check: 43 + 25 = 68 and 68 + 36 = 104).

Kitty's mother's brother's wife is Kitty's maternal uncle's wife, and Uthara and her sister are her daughters, Kitty's cousins. Their father is the brother of Kitty's mother, so Kitty's mother is the sisters' paternal aunt (bua). Kitty's mother is Uthara's sister's aunt.

The angles of a triangle add up to 180°, so the other two angles total 180 − 55 = 125°. Divide 125 in the ratio 9 : 16: 125 × 9/25 = 45° and 125 × 16/25 = 80°.

Mumbai artist Atul Dodiya made a celebrated series of watercolours on the life of Mahatma Gandhi, 'An Artist of Nonviolence' (1998–99), based on old photographs of Gandhi. Amrita Sher-Gil died in 1941, and M. F. Husain is best known for other themes.

In the pie chart the second week has a central angle of 120°, i.e. 120/360 = 1/3 of the total. Income in the second week = 1/3 × 3,60,000 = Rs 1,20,000.

In HOUSES → GNAYDR, the first two and last two letters each move one step back (H→G, O→N, E→D, S→R), while the middle two move six steps forward (U→A, S→Y). DIARY has five letters, so the first two and last two move back and the middle one moves forward: D→C, I→H, A→G, R→X, Y→X, giving CHGXX.

'Satyameva Jayate' means 'Truth alone triumphs'. It comes from the Mundaka Upanishad and is India's national motto, inscribed below the Lion Capital of Ashoka on the national emblem.

Malé is the capital and most populous city of the Maldives, an island nation in the Indian Ocean south-west of India. Port Louis is the capital of Mauritius and Kuala Lumpur of Malaysia.

Forward and backward are opposites (antonyms). Hope–despair, love–hate and light–dark are also opposites. Anger and wrath mean the same thing (synonyms), so they do not share the relationship.

If religions give the guiding principles for leading one's life, religion shapes how life is lived, i.e. it is a way of life; I follows. The statement says religions teach principles, not that religion itself is a 'teacher' in a literal sense, so II is not a definite conclusion. Only I follows.

H₂O contains hydrogen (H). In the same way, KOH (potassium hydroxide) contains potassium, whose symbol is K (from the Latin 'kalium').

9/13 ÷ 18/26 = 9/13 × 26/18 = 1. Then 1 ÷ 90/52 = 52/90 = 26/45.

°F = °C × 9/5 + 32. At 0 °C, °F = 0 + 32 = 32 °F, the freezing point of water.

Each letter of SHELF moves 13 places (S→F, H→U, E→R, L→Y, F→S), giving FURYS. Apply the same to ZEBRA: Z→M, E→R, B→O, R→E, A→N, giving MROEN.

A normal resting heart rate for adults is 60 to 100 beats per minute (about 72 on average). Well-trained athletes may have resting rates as low as 40–60.

C is Q's sister and P's daughter, so P is a parent of Q. Q's father is B's son-in-law, i.e. married to B's daughter. P is therefore Q's mother, which makes P B's daughter. (P being D's maternal aunt only confirms that P is female.)

Junko Tabei of Japan became the first woman to reach the summit of Mount Everest, on 16 May 1975. Bachendri Pal was the first Indian woman to do so, in 1984.

6 carpenters × 16 days = 96 carpenter-days make 96 windows, i.e. 1 window per carpenter per day. 8 carpenters for 4 days = 32 carpenter-days, which make 32 windows.

January = 18,58,509. February = 18,58,509 + 7,623 = 18,66,132. March = 18,66,132 − 25,838 = 18,40,294. Total = 18,58,509 + 18,66,132 + 18,40,294 = 55,64,935.

Makar Sankranti, usually on 14 or 15 January, is a harvest festival marking the Sun's entry into Capricorn (Makara). It is celebrated across India as Pongal, Lohri, Bihu and Uttarayan, with kite flying and sweets of til and jaggery.

Confusion causes mental tension, and mental tension causes anxiety, so confusion leads to anxiety; II follows. Nothing is said about anxiety being a disease, so I does not follow.

The three sentences share only the word 'melon', and the three codes share only the digit 5 (439516, 04516 and 857). So melon = 5.

Each letter position moves one step forward: first letters A, B, C, D, E; second letters I, J, K, L, M; third letters Q, R, S, T, U. The next term is EMU.

Running in opposite directions, their distance grows at 7 + 5 = 12 m/s. In 42 minutes (2,520 s) they are 12 × 2520 = 30,240 m = 30.24 km apart.

Afghanistan's accession to the WTO was approved at the Nairobi Ministerial Conference in December 2015, and it became the 164th member in July 2016. Liberia became the 163rd member.

For 2 years, CI − SI = P × (r/100)². Here 5000 × (8/100)² = 5000 × 0.0064 = Rs 32.

Work from the innermost bracket: (6 − 3) = 3, then {2 + 5 × 3} = 17, then [26 − 17] = 9, and finally 12 − 9 = 3.

42 litres = 42,000 ml. Number of 280 ml bottles = 42000 ÷ 280 = 150.

Two consecutive even numbers are 2n and 2n + 2, with HCF 2, so LCM = 2n(2n + 2)/2 = 2n(n + 1). Setting 2n(n + 1) = 144 gives n(n + 1) = 72 and n = 8, so the numbers are 16 and 18 (check: LCM(16, 18) = 144).

Dibru-Saikhowa National Park (Tinsukia), Nameri National Park (Sonitpur) and Orang National Park (on the Brahmaputra's north bank) are all in Assam, along with Kaziranga and Manas.