RRB NTPC CBT 1 2016: উত্তরসহ প্রশ্ন

Track where each symbol moves from one figure to the next. From figure 1 to figure 2, the symbol at top-left moves to bottom-right, top-right moves to bottom-left, bottom-left moves to top-left and bottom-right moves to top-right. Applying the same movement to figure 2 (△ □ / ● ○) gives ● ○ on top and □ △ at the bottom. Applying it once more gives □ △ / ○ ●, which is exactly figure 4, so the rule is confirmed. The missing figure is option C.

'grapes are sweet' = 592 and 'oranges are sour' = 267 share only the word 'are', so are = 2. 'I like oranges' = 374 and 'oranges are sour' = 267 share only 'oranges', so oranges = 7. In 267, removing are (2) and oranges (7) leaves 6, so sour = 6.

A glucometer is a small medical device that measures the concentration of glucose (sugar) in the blood, usually from a drop of blood placed on a test strip. Diabetic patients use it to monitor their blood sugar at home. Moisture in the air is measured by a hygrometer, and glucometers have nothing to do with nitrogen levels in air.

Speed of car A = distance / time = 90 km / 2 h = 45 km/h. Car B is twice as fast, so its speed = 2 × 45 = 90 km/h.

Nitrogen, hydrogen and oxygen are all colourless and odourless gases. Chlorine is the exception: it is a greenish-yellow gas with a sharp, pungent, choking smell (the smell noticed near bleach or swimming pools). So chlorine is the gas that is not colourless and odourless.

Speed of Y = 420 km / 3 h = 140 km/h. Speeds are in the ratio X : Y = 5 : 7, so X = 140 × 5/7 = 100 km/h.

The 2015 ICC Cricket World Cup was jointly hosted by Australia and New Zealand (14 February – 29 March 2015). Australia won the tournament, beating New Zealand in the final at Melbourne.

Bhimbetka, in Raisen district of Madhya Pradesh, is famous for its rock shelters. They contain prehistoric paintings, some more than 10,000 years old, showing hunting, dancing and animals. It was declared a UNESCO World Heritage Site in 2003.

Mean = (10 + 11 + 9 + 11 + 9)/5 = 50/5 = 10. Deviations from the mean are 0, 1, −1, 1, −1, whose squares add to 0 + 1 + 1 + 1 + 1 = 4. Variance = 4/5, so the standard deviation = √(4/5) = 2/√5.

The assertion is true: in photosynthesis plants capture light energy and store it as chemical energy in glucose. The reason is also true: humans obtain energy from sugars made by plants. But the reason does not explain why plants convert light into chemical energy; it describes how humans use the product. So both are true, but R is not the correct explanation of A.

Count the 5s in the units place: 5, 15, 25, …, 95 gives 10. Count the 5s in the tens place: 50, 51, …, 59 gives another 10. (55 is counted once in each list because it contains two 5s.) Total = 10 + 10 = 20.

Kinetic energy is the energy a body has because of its motion (½mv²). Any body that is moving necessarily has kinetic energy. Potential energy depends on position, not motion, so a moving body need not have it.

Replace each letter by its opposite letter in the alphabet (A↔Z, B↔Y, …, a pair of positions adding to 27) and then move one step forward. LEMON: opposites are O, V, N, L, M; one step forward gives P, W, O, M, N = PWOMN, which matches. SHIRT: opposites are H, S, R, I, G; one step forward gives I, T, S, J, H = ITSJH.

2½ kg costs Rs 120, so 1 kg costs 120 ÷ 2.5 = Rs 48. Therefore ½ kg costs 48 ÷ 2 = Rs 24.

Yarn is the raw material from which fabric is made. In the same way, metal is the raw material from which a sword is made. Root : Tree and Heart : Body are part-to-whole relations, and ink is used in a pen, not made into one.

The 2014 Nobel Peace Prize was shared by Kailash Satyarthi of India and Malala Yousafzai of Pakistan for their struggle against the suppression of children and for every child's right to education. Malala, aged 17, became the youngest Nobel laureate.

ISRO's solar mission is named Aditya (later Aditya-L1, 'Aditya' being a Sanskrit name for the Sun). It was planned for around 2019–20 and finally launched in September 2023 to study the Sun from the L1 Lagrange point.

Annie Besant became the first woman President of the Indian National Congress at its Calcutta session in 1917. Sarojini Naidu was the first Indian woman to hold the post, in 1925 at Kanpur.

The Right to Information Act was passed in June 2005 and came fully into force on 12 October 2005. It allows citizens to request information from public authorities, which must reply within 30 days.

Let the numbers be x − 1, x and x + 1. Their sum is 3x = 42, so x = 14. The numbers are 13, 14 and 15, and the middle one is 14.

(x + 2y)(2x − y) = x·2x − x·y + 2y·2x − 2y·y = 2x² − xy + 4xy − 2y² = 2x² + 3xy − 2y².

There are 14 numbers and their sum is 1 + 9 + 5 + 4 + 2 + 1 + 9 + 9 + 2 + 1 + 9 + 1 + 2 + 1 = 56, so the mean = 56/14 = 4. The value 1 occurs five times, more than any other (9 occurs four times), so the mode = 1.

In each pair the first element is a constituent of the compound: hydrogen is in sulphuric acid (H₂SO₄), chlorine in salt (NaCl) and oxygen in water (H₂O). Hydrochloric acid (HCl) contains hydrogen and chlorine but no nitrogen, so Nitrogen : Hydrochloric acid is the odd pair.

Osteoporosis is a bone disease in which bone density and mass fall, making bones porous, weak and likely to fracture. It is common in older people, especially post-menopausal women, and is linked to calcium and vitamin D deficiency.

Bhimsen Joshi (2009), Lata Mangeshkar (2001) and M. S. Subbulakshmi (1998) have all received the Bharat Ratna. A. R. Rahman has won the Padma Bhushan, Oscars and Grammys, but not the Bharat Ratna.

Victoria Terminus, now Chhatrapati Shivaji Maharaj Terminus (CSMT), is in Mumbai. This Victorian Gothic railway station, designed by F. W. Stevens and completed in 1888, was declared a UNESCO World Heritage Site in 2004. (Victoria Memorial, a different monument, is in Kolkata.)

Use sec²θ − tan²θ = 1 and tanθ × cotθ = 1. Then sec²θ + 2tanθcotθ − tan²θ = (sec²θ − tan²θ) + 2(tanθcotθ) = 1 + 2 × 1 = 3.

Sardar Vallabhbhai Patel is called the 'Bismarck of India' (and the 'Iron Man of India'). Just as Otto von Bismarck unified Germany, Patel united over 560 princely states into the Indian Union after independence.

Total work = 9 women × 50 days = 450 woman-days. With 6 more there are 15 women, who need 450 ÷ 15 = 30 days. The work finishes 50 − 30 = 20 days earlier.

Add the two equations to eliminate y: (4x + 5y) + (x − 5y) = 14 + 16, so 5x = 30 and x = 6. Substitute in x − 5y = 16: 6 − 5y = 16, so y = −2. The values are 6 and −2.

Each pack must contain the same number of big and of small diaries with nothing left over, so the number of packs must divide both 20 and 16. The largest such number is HCF(20, 16) = 4. Each pack then has 5 big and 4 small diaries.

ISRO launched the Mars Orbiter Mission (Mangalyaan) on 5 November 2013 from Sriharikota using PSLV-C25. It entered Mars orbit on 24 September 2014, making India the first country to reach Mars orbit on its first attempt.

Mangroves are salt-tolerant trees and shrubs of coastal and estuarine areas. They support biodiversity, protect coasts from floods, storm surges and erosion, and are being lost to urbanisation. They are not mango trees and do not provide mangoes, so that statement is false.

Replacing the letters gives 10 − 192 ÷ 48 × 48 ÷ 96 + 1. Division and multiplication go left to right first: 192 ÷ 48 = 4, 4 × 48 = 192, 192 ÷ 96 = 2. Then 10 − 2 + 1 = 9.

Make M the same in both ratios: L : M = 3 : 5 = 6 : 10 and M : N = 2 : 3 = 10 : 15. So L : M : N = 6 : 10 : 15, and N : L = 15 : 6 = 5 : 2.

There are 120 apples, 180 mangoes and 240 oranges. Sold: ½ of 120 = 60 apples, ⅓ of 180 = 60 mangoes and ¼ of 240 = 60 oranges. Left: 60 + 120 + 180 = 360 fruits.

Hypothermia is the condition in which body temperature falls below normal (about 37 °C / 98.6 °F), usually after long exposure to cold. Hyperthermia is the opposite (abnormally high temperature), and hypermetropia is long-sightedness, an eye defect.

Vulture, kite and owl are birds, but the bat is a mammal, so they are not all birds or all mammals. Vultures and kites are active by day, so they do not all fly at night. The one thing all four share is that they can fly.

BIOS stands for Basic Input Output System. It is firmware stored on a chip on the motherboard that runs when a computer starts: it tests the hardware (POST) and loads the operating system.

Cancer arises from genetic mutations, which can be caused by environmental factors such as tobacco, radiation and chemicals, and genetic changes or modification of cells can also trigger it. Cancer is not a communicable disease, so it does not spread from person to person by transmission.

In the diagram the circle is chess, the triangle tennis and the rectangle hockey. Non-chess players are the regions outside the circle: 5 + 5 (tennis only) + 5 + 20 (hockey only) = 35. Players of both chess and tennis are inside both circle and triangle: 11 + 10 + 14 = 35. The two numbers are the same.

Tennis players are the regions inside the triangle; those not in hockey are outside the rectangle. These regions are 5 (top), 11, 14 and 5 (bottom). Total = 5 + 11 + 14 + 5 = 35.

Hockey players (inside the rectangle): 5 + 2 + 10 + 3 + 15 + 20 = 55. Chess players (inside the circle): 13 + 11 + 4 + 2 + 10 + 15 + 3 + 12 + 14 + 6 = 90. Ratio = 55/90 = 11/18.

Each term uses three consecutive letters, written in the order 2nd, 3rd, 1st: ABC → BCA, EFG → FGE, MNO → NOM, QRS → RSQ, UVW → VWU. The groups start at A, E, I, M, Q, U (every fourth letter), so the missing group is IJK, written as JKI.

Replacing the symbols: 17 − 7 ÷ 27 + 3 × 79 becomes 17 + 7 × 27 ÷ 3 − 79. Multiplication and division first: 7 × 27 = 189 and 189 ÷ 3 = 63. Then 17 + 63 − 79 = 1.

tan is an odd function, so tan(−405°) = −tan 405°. Since tan repeats every 180°, tan 405° = tan(405° − 360°) = tan 45° = 1. So tan(−405°) = −1.

Greenhouse gases absorb and re-emit infrared heat. Ozone, nitrous oxide and water vapour all do this (along with CO₂ and methane). Hydrogen (H₂) does not absorb infrared radiation directly, so it is not a greenhouse gas.

The Indian Army's operation to push back Pakistani intruders in Kargil in 1999 was code-named Operation Vijay. Its success is marked every 26 July as Kargil Vijay Diwas. Operation Blue Star was the 1984 military action at the Golden Temple.

Each letter of PLATE moves 13 places forward (wrapping round after Z): P→C, L→Y, A→N, T→G, E→R, giving CYNGR. Applying the same to SHOCK: S→F, H→U, O→B, C→P, K→X, giving FUBPX.

The Central Processing Unit (CPU) carries out all the arithmetic, logic and control operations of a computer, which is why it is called the brain of the computer. The motherboard connects components, RAM stores data temporarily, and BIOS starts the system.

360 = 2³ × 3² × 5 and 450 = 2 × 3² × 5². The HCF takes the lowest power of each common prime: 2 × 3² × 5 = 90.

A son's maternal uncle is his mother's brother. So Rahim's son is the brother of Salman's wife, which means Rahim is the father of Salman's wife. Therefore Rahim is Salman's father-in-law.

Tea is green, and more than half the town likes tea, so green is the most popular choice; conclusion I follows. Statement 3 only says some people who like brown (coffee) don't like white (milk). It says nothing about coffee drinkers disliking tea, so conclusion II does not follow.

The Indian Rupee symbol ₹, designed by D. Udaya Kumar, was adopted by the Government of India on 15 July 2010. It blends the Devanagari letter 'र' and the Roman letter 'R'.

The Ganga is India's longest river. The Godavari, about 1,465 km long and flowing from Maharashtra to the Bay of Bengal, is the second longest and is called the 'Dakshin Ganga'.

SI for 2 years at 10% is Rs 2,000, so P × 10 × 2/100 = 2000 and P = Rs 10,000. CI for 2 years = 10000 × (1.1² − 1) = 10000 × 0.21 = Rs 2,100. The difference = 2100 − 2000 = Rs 100 (shortcut: P × (r/100)² = 10000 × 0.01 = 100).

A prime number is a natural number greater than 1 that has exactly two divisors: 1 and itself. Examples are 2, 3, 5, 7 and 11. A number with more than two divisors is composite.

On 24 November 2015 a Turkish Air Force F-16 shot down a Russian Sukhoi Su-24 near the Syria–Turkey border, saying it had violated Turkish airspace. It was the first time a NATO member had downed a Russian military aircraft in decades.

Let the rate be r% p.a. Interest = 6000 × r × 3/100 + 8000 × r × 5/100 = 180r + 400r = 580r. Setting 580r = 5220 gives r = 9, so the rate is 9% per annum.

Saina Nehwal won bronze in women's singles at the 2012 London Olympics, India's first Olympic medal in badminton. P. V. Sindhu later won silver in 2016 and bronze in 2020.

From the bar chart, Physics marks are S1 = 95, S2 = 65, S3 = 75 and S4 = 75, a total of 310. Chemistry marks are 85, 85, 55 and 80, a total of 305. Percentage = 305/310 × 100 ≈ 98.4%, i.e. about 98%.

S2's total = 65 (Physics) + 85 (Chemistry) = 150. S4's total = 75 + 80 = 155. Ratio = 150/155 = 30/31.

Physics marks: S3 = 75 and S1 = 95. Ratio = 75/95 = 15/19 (dividing both by 5).

With Q = 10, the equation becomes P + 10 = 2(P − 10) = 2P − 20. Then 10 + 20 = 2P − P, so P = 30.

A cub is the young one of a tiger, and a calf is the young one of an elephant, so Elephant : Calf has the same relationship. A dog's young is a puppy, a leopard's is a cub, and reindeer are not young horses (a young horse is a foal).

The diagonal of a square = side × √2, so side = 13√2 / √2 = 13 units. Area = 13² = 169 sq. units (equivalently, area = diagonal²/2 = 338/2 = 169).

At cruising altitude the outside air pressure is very low. Aircraft cabins are pressurised to keep the pressure at a safe, comfortable level (roughly equal to the air at 6,000–8,000 ft), which is much higher than the pressure outside. So the cabin pressure is more than that outside.

2½ dozen = 30 apples, bought for Rs 300, so CP = Rs 10 per apple. Each is sold for Rs 15, a profit of Rs 5 per apple. Profit % = 5/10 × 100 = 50%.

Akash is a medium-range surface-to-air missile system developed by DRDO under the Integrated Guided Missile Development Programme. It is launched from the ground to destroy enemy aircraft, helicopters and drones.

If ST Bazaar is the only place in town to buy groceries, it faces no competition, and that is what a monopoly means. Nothing in the statements says who owns it, whether it is a supermarket, or whether people like it.

Convert to decimals: 6/5 = 1.20, 4/3 ≈ 1.33, 3/2 = 1.50, 5/4 = 1.25. The smallest is 6/5. (Each fraction is 1 + 1/n with n = 5, 3, 2, 4; the largest n gives the smallest value.)

The meaningful sentence is 'Gopu (6) is a great writer (9) and (5) is also (8) a famous mathematician (7)', so the order is 6 9 5 8 7.

Look at every 7 followed by 9 in 5 1 7 9 9 7 5 9 8 7 8 7 9 5 7 9. The 3rd number (7) is followed by 9 and preceded by 1, so it counts. The 12th number (7) is followed by 9 and preceded by 8, so it counts. The 15th number (7) is followed by 9 but preceded by 5, so it does not. That makes 2.

In its 2015 year-end review, Yahoo India named the cow 'Personality of the Year', because the cow (and the beef-ban debate around it) was among the most searched and discussed topics on its platform in 2015.

Zika virus spreads mainly through the bite of infected Aedes mosquitoes (Aedes aegypti), the same mosquito that carries dengue and chikungunya. Infection during pregnancy can cause microcephaly and other neurological birth defects.

SP = CP × (100 + profit%)/100, so 1300 = CP × 130/100. CP = 1300 × 100/130 = Rs 1,000.

Neil Armstrong said these words on 20 July 1969 as he became the first person to step onto the Moon during NASA's Apollo 11 mission.

From PERK = 5638: P = 5, E = 6, R = 3, K = 8. From BLACKEN = 4917862: B = 4, L = 9, A = 1, C = 7, K = 8, E = 6, N = 2. Decoding 7317896: 7 = C, 3 = R, 1 = A, 7 = C, 8 = K, 9 = L, 6 = E, which spells CRACKLE.

GST needed changes to the Constitution so that the Centre and the States could both levy tax on goods and services. It was therefore introduced as the Constitution (122nd Amendment) Bill, 2014, and passed in 2016 as the 101st Amendment Act. It was a constitutional amendment bill, not a money or ordinary bill.

Drinking water is purified by killing the disease-causing germs in it, that is, by sterilising (disinfecting) it. Agents such as chlorine, bleaching powder and ozone are used for this. (They kill germs by oxidising them, which is why some keys also accept 'oxidizing agent', but the purpose they serve is sterilisation.)

World Environment Day is celebrated every year on 5 June. It was set up by the UN General Assembly in 1972 at the Stockholm Conference on the Human Environment and was first observed in 1974.

Y is at the right end (position 7). I is fifth to the left of Y, so I is at 2, and T, two to the right of I, is at 4. S, O and R must fit as S, _, O, R with R three to the right of S; the only free slots are 3, 5, 6, so S = 3, O = 5, R = 6, and H takes position 1. The row is H I S T O R Y. The middle person (4th) is T, and the person to T's right is O.

In the row H I S T O R Y, there is exactly one person (T) between O (5th) and S (3rd). H and R have four people between them, T and Y have two, and I and H have none.

From the arrangement H I S T O R Y worked out above, H stands at the left end.

India shares its longest land border with Bangladesh, about 4,096 km long, touching West Bengal, Assam, Meghalaya, Tripura and Mizoram. China (about 3,488 km) and Pakistan (about 3,323 km) come next.

The ITF named Martina Hingis (Switzerland) and Sania Mirza (India) the 2015 women's doubles world champions. In 2015 they won Wimbledon, the US Open and the WTA Finals together and became world No. 1.

2 dozen = 24 pens for Rs 480, so CP = Rs 20 per pen. She sells packs of 4 for Rs 100, i.e. Rs 25 per pen. Profit per pen = 5, and profit % = 5/20 × 100 = 25%.

Range = largest value − smallest value. Here the largest is 19 and the smallest is 9, so the range = 19 − 9 = 10.

Each term is one more than a prime number: 2 + 1 = 3, 3 + 1 = 4, 5 + 1 = 6, 7 + 1 = 8, 11 + 1 = 12, 13 + 1 = 14, 17 + 1 = 18. So the missing term is 14.

World No Tobacco Day is observed on 31 May every year. It was started by the World Health Organization in 1987 to highlight the health risks of tobacco use.

(a + b)³ = a³ + 3a²b + 3ab² + b³. With a = s and b = 2: s³ + 3·s²·2 + 3·s·4 + 8 = s³ + 6s² + 12s + 8.

Biotechnology is the use of living organisms, cells or their parts (such as bacteria, yeast and enzymes) in industrial and technological processes to make useful products, for example medicines, vaccines, fermented foods and GM crops.

Karan is 12th from the counter. With five people between them, Sunil is either 12 − 6 = 6th or 12 + 6 = 18th. Only 18 is among the options.

The bag has 2 + 3 + 4 + 6 = 15 balls. P(black) = 3/15 = 1/5, so conclusion I is correct. P(red) = 4/15, not 6/15 (6/15 is the probability of green), so conclusion II is wrong. Only conclusion I follows.

Together they finish the work in 50 days, so they do 1/50 of it each day. In 20 days they complete 20 × 1/50 = 20/50 = 2/5 of the work.

In the figure, angle a is an exterior angle of the triangle whose two interior opposite angles are 75° and 40°. An exterior angle of a triangle equals the sum of the two interior opposite angles, so a = 75° + 40° = 115°.

Debugging is the process of finding and fixing errors (bugs) in a software program, so the program runs correctly. Modifying a program or changing its design are separate tasks, though debugging may involve them.

The 103rd Indian Science Congress was held at the University of Mysore, Mysuru, from 3 to 7 January 2016. Its focal theme was 'Science and Technology for Indigenous Development in India'.

A light at the top of the 18 ft pole, 10 ft away, casts the tree's shadow of length s. The pole and the tree form similar triangles with the shadow's tip: 18/(10 + s) = 6/s. So 18s = 60 + 6s, 12s = 60 and s = 5 feet.

On the 69th Republic Day (26 January 2018), India invited the heads of all 10 ASEAN member countries as joint chief guests, for the first time inviting more than one head of state. It marked 25 years of India–ASEAN partnership.