RRB NTPC CBT 2 2017: উত্তরসহ প্রশ্ন

Playback singer P. Susheela entered the Guinness World Records in 2016 for recording the highest number of songs, over 17,000 solo, duet and chorus songs in several Indian languages.

Space research draws on sciences such as physics, biology (space medicine, life in space) and earth science (remote sensing). Human culture is a subject of the humanities, not a discipline of space research.

Statement III: a man 7th from the end and 17th from the beginning means the queue has 17 + 7 − 1 = 23 people. Statements I and II give only one position each, so only III is sufficient.

Chlorofluorocarbons (CFCs) were used as coolants in refrigerators and air conditioners and as propellants in aerosol sprays. A mixer-grinder is a simple motor appliance and uses no CFCs.

Illiterate and educated are opposites. The opposite of a flood (too much water) is a drought (too little water).

Archery (datse) is the national sport of Bhutan and is played at festivals throughout the country.

An ethnic group is a community that shares a common culture – language, traditions, religion, ancestry and customs – rather than a particular nationality or identical genes.

Rational numbers are numbers of the form p/q, so they include all fractions such as 3/4. The statement 'rational numbers do not include fractions' is therefore incorrect.

MS Word is a word processor, a program that helps the user do a specific task, so it is application software. Windows (an operating system) is system software.

Write each as one square root: 3√5 = √45, 2√8 = √32 and 4√6 = √96. In descending order: √96 > √45 > √32, i.e. 4√6 > 3√5 > 2√8.

W is X's father and V is W's sister. U is V's sibling, so U is also W's brother or sister – but U's gender is not given. U could be X's uncle or aunt, so the relation cannot be determined.

St. Peter's Square is the large plaza in front of St. Peter's Basilica in Vatican City, surrounded by Bernini's colonnades.

FDI stands for Foreign Direct Investment – investment by a foreign entity that gives lasting ownership or control of a business in another country.

The 17th NAM Summit was held on Margarita Island, Venezuela, in September 2016. According to the official RRB key, its slogan was 'United on the Path for Peace'.

If all drugs have side effects, no medicine is free from that risk – Conclusion I follows. The statement does not compare the drug with the disease, so II does not follow.

A fraction in lowest terms terminates only if its denominator has no prime factors other than 2 and 5. 25 = 5², so 17/25 = 0.68 terminates. Denominators 6, 3 and 11 give recurring decimals.

In a mixture the substances are only physically mixed, so each constituent keeps its own properties. A mixture has variable composition, no fixed melting or boiling point, and can be separated by physical methods such as filtration or distillation.

LOGIC → IGCOL takes letters 4, 3, 5, 2, 1 (I, G, C, O, L). Applying the same order to FRUIT (F1 R2 U3 I4 T5) gives I, U, T, R, F = IUTRF.

With ÷ + = ×: 25 ÷ 5 + 35 = 20 × 2 gives 5 + 35 = 40 on the left and 40 on the right, so the equation balances.

Belarusian writer Svetlana Alexievich won the 2015 Nobel Prize in Literature for her polyphonic writings. Paul Modrich (Chemistry), William C. Campbell (Medicine) and Takaaki Kajita (Physics) were other 2015 laureates.

p²/(p + 6) + 6p/(p + 6) = (p² + 6p)/(p + 6) = p(p + 6)/(p + 6) = p. So 1 ÷ p = 1/p.

(169 × 121) ÷ (11 × 13) = (13² × 11²)/(11 × 13) = 13 × 11 = 143. Then 143 − 3 = 140.

tan θ = 1/√5, so cot θ = √5 and cot²θ = 5. Using cosec²θ = 1 + cot²θ = 1 + 5 = 6.

Gaurav Ghei is an Indian professional golfer, one of the first Indians to play on the Asian Tour and the European Tour.

The Indian Railway Board Act was passed in 1905, giving the newly formed Railway Board (constituted in 1905) its powers over the railways.

NABARD, set up in 1982, is India's apex development bank for agriculture and rural development. It refinances banks for rural credit and also supervises regional rural banks and cooperative banks, but its main identity is that of a development bank.

Lala Lajpat Rai, the 'Punjab Kesari', was born in Dhudike in Punjab. He was part of the Lal-Bal-Pal trio and died after the lathi charge during the Simon Commission protest in 1928.

Sir Ben Kingsley is a British actor who won the Academy Award for Best Actor for playing Mahatma Gandhi in the film 'Gandhi' (1982).

G's one-day work = 1/30 − 1/50 = (5 − 3)/150 = 1/75. So G alone takes 75 days.

Cost of 7 kg of the mixture = 3 × 210 + 4 × 280 = 630 + 1120 = Rs 1750, i.e. Rs 250 per kg. Selling at Rs 260 gives a profit of 10/250 × 100 = 4%.

C has no daughter and B is the only son, so every grandson of C is B's son. K is the wife of B's son, which makes B her father-in-law.

Akbar ruled mainly from Agra, where he rebuilt the Agra Fort. For some years he moved the capital to Fatehpur Sikri and later to Lahore, but Agra was his chief seat of government.

The outer radius = 7 + 3.5 = 10.5 m. Area of the path = π(10.5² − 7²) = 22/7 × (110.25 − 49) = 22/7 × 61.25 = 192.5 sq m.

P does 1/10 a day; Q and R together do 1/15 + 1/30 = 1/10. On odd days (all three) 1/5 is done, on even days (P alone) 1/10, so every 2 days 3/10 is done. After 6 days 9/10 is done. On day 7 all three work at 1/5 per day and need 1/10, which takes half a day. Total = 6½ days.

Moving backwards through the alphabet by 2, 3, 4, 5 and 6 letters: B −2 → Z, Z −3 → W, W −4 → S, S −5 → N, N −6 → H.

The fourth proportional x satisfies 14 : 6 = 28 : x, so x = 6 × 28/14 = 12.

C + 4 = G and D − 3 = A. In the same way P + 4 = T and Q − 3 = N, giving TN.

The IUCN Red List categories include Extinct, Extinct in the Wild, Critically Endangered, Endangered, Vulnerable, Near Threatened and Least Concern. 'Harmful' is not an IUCN category.

P × 8 × 8/100 = 16000 gives P = Rs 25,000. One fourth of 8% is 2%. CI for 2 years = 25000 × (1.02² − 1) = 25000 × 0.0404 = Rs 1,010.

A is shorter than D, and D is shorter than V, so A < D < V (consistent with V not being shorter than A). Hence A is shorter than both V and D.

Capital gains tax is levied on the profit made from transferring (selling) a capital asset such as land, a building, shares or jewellery. It covers both short-term and long-term gains, not only shares held for over 12 months.

E takes 9 days. Together they do 1/18 + 1/9 = 3/18 = 1/6 of the work per day, so they finish in 6 days.

Cost = 15 × 15,000 = Rs 2,25,000 and SP = Rs 2,97,000. Profit = 72,000, and 72,000/2,25,000 × 100 = 32%.

Gandhi returned to India from South Africa on 9 January 1915, a date now marked as Pravasi Bharatiya Divas.

Under compound interest the second year's interest is also earned on the first year's interest: 72 × 1.08 = Rs 77.76. (The principal is 72/0.08 = Rs 900.)

Grief and happiness are opposites. Diffidence means lack of self-confidence, so its opposite is confidence.

Let K have x. Then N has x + p, and x + (x + p) = q, so x = (q − p)/2.

x ÷ 3/7 = 7/9 ÷ 5/9 = 7/5. So x = 7/5 × 3/7 = 3/5.

70 occurs three times, more often than any other value (80, 90 and 65 occur twice), so the mode is 70.

The first letters A, D, H, ?, S advance by 3, 4, 5, 6, so the missing one is M. In each pair the second letter is 2, 3, 4, 5, 6 places ahead of the first (A→C, D→G, H→L, M→R, S→Y). The term is MR.

1 + 2/3 = 5/3. Inside the bracket: (4/3) ÷ (5/3) = 4/5. Then 5/3 ÷ 4/5 = 25/12.

Rats, ants and bears eat both plant and animal food (omnivores). Snakes eat only animals, so they are carnivores.

Multiply by 12: P : Q : R = 4 : 8 : 3. Q = 56 means one part = 7, so P = 28 and R = 21, and P − R = 7.

Mission Raftaar, announced in the Railway Budget 2016–17, aims to double the average speed of freight trains and raise that of passenger trains by 25 km/h.

Myopia, hypermetropia and presbyopia are focusing defects corrected with lenses. A cataract is clouding of the eye lens and needs surgery to replace the lens.

In South, Party IV got 210 thousand votes and the next highest, Party III, got 108 thousand. The margin = 102 thousand = 1.02 lakh.

Winners: East – Party I (180), South – Party IV (210), North – Party II (275), West – Party IV (191). Only Party IV won more than one constituency.

Totals: North 72 + 275 + 44 + 225 = 616 thousand, more than South (396), West (334) and East (about 300). North has the highest total.

Party IV's total = 34 + 210 + 225 + 191 = 660 thousand, higher than Party II (442), Party I (279) and Party III.

R is the ex-serviceman and his wife P is the housewife; Q is the actor. The politician, banker and nurse are S, T and U. U is neither banker nor politician, so U is the nurse. T is not the politician, so T is the banker.

From the arrangement (R ex-serviceman, P housewife, Q actor, U nurse, T banker), the only one left is S, who is the politician.

U is neither banker nor politician, and the other professions are already taken by R, P and Q, so U is the nurse.

The land along the edge of a river is its bank; the land along the edge of the sea is the shore.

Swayamsiddha was a scheme for the empowerment of women through self-help groups. Sarva Shiksha Abhiyan, the Right to Education and Inclusive Education for the Disabled at Secondary Stage are all for children's education.

Total cost = 22,000 + 1,000 + 2,000 = Rs 25,000. For a 15% profit, SP = 25,000 × 1.15 = Rs 28,750.

Geography is the study of the Earth's land, features, inhabitants and phenomena; people who study it are geographers.

143 = 11 × 13, 77 = 11 × 7 and 121 = 11 × 11. The only common factor is 11.

The series increases by 5: 6, 11, 16, 21, 26. So 20 is wrong; it should be 21.

A solar panel converts light to electricity, a steam engine converts heat to motion and an electric iron converts electricity to heat. Plain glass only lets light through; it does not convert energy.

24 = 2³ × 3, 96 = 2⁵ × 3, 36 = 2² × 3². LCM = 2⁵ × 3² = 288.

A CD-ROM (Compact Disc Read-Only Memory) is an optical storage medium on which data is read by a laser. It is not a magnetic disk.

The only daughter of the lady's father is the lady herself. Sonia is her daughter, so the lady is Sonia's mother.

The UNESCO site 'Mountain Railways of India' includes the Darjeeling Himalayan Railway, the Nilgiri Mountain Railway and the Kalka–Shimla Railway. The Matheran Hill Railway is on the tentative list only.

Under the Election Symbols Order, a party recognised as a state party in four or more states is recognised as a National Party.

It is true that more people now choose fast food, but fast food is not always inexpensive. So A is true and R is false.

Virat Kohli, Player of the Tournament at the ICC World Twenty20 2016, was named captain of the ICC's Team of the Tournament.

The code is the product of the letters' positions: ADC = 1 × 4 × 3 = 12. So BEC = 2 × 5 × 3 = 30.

The words are FARM, LAND, CLAP and PLANT. Farm, land and plant relate to agriculture; CLAP (PLCA) is the odd one out.

SI = P × R × N/100 = 9P/16 with R = N. So R²/100 = 9/16, R² = 56.25 and R = N = 7.5.

3/5 of 24 = 14.4, and 40% of 14.4 = 5.76.

The Capitol Complex in Chandigarh, designed by Le Corbusier, is part of the 2016 transnational UNESCO World Heritage Site of his architectural work.

The Indian elephant is the state animal of Karnataka, Kerala and Jharkhand (and Odisha). Assam's state animal is the one-horned rhinoceros.

If life is difficult without a mobile, the mobile has become an integral part of life – II follows. The statement says nothing about the number of subscribers, so I does not follow.

From I, X = 3Y. From III, X + 5 = 2.5(Y + 5). Substituting: 3Y + 5 = 2.5Y + 12.5, so Y = 15. Statement II is irrelevant; I and III together are sufficient.

Europa is a natural satellite (moon) of Jupiter. Earth's natural satellite is the Moon.

Car I's speed = d/t. Car II's speed = (d/2)/(2t) = d/(4t). The ratio is 1 : 1/4 = 4 : 1.

B is the 2nd letter and 8 = 2³. C is the 3rd letter, so the answer is 3³ = 27.

Afforestation, planting trees on bare land, is a solution to environmental problems. Acid rain, loss of biodiversity and the risks of genetically modified food are environmental concerns.

Speeds above the speed of sound (about 343 m/s in air) are supersonic. Ultrasonic and infrasonic refer to sound frequencies, not speeds.

Each group takes letters at positions n, n+2, n+1, n+3: ACBD (1,3,2,4), FHGI (6,8,7,9), KMLN (11,13,12,14). Each group starts 5 letters later, so the next starts at P (16): P, R, Q, S = PRQS.

An electromagnet is temporary and its strength can be changed. Its polarity can be reversed by reversing the direction of the current, so 'polarity cannot be changed' is not true.

Through photosynthesis plants absorb carbon dioxide and release oxygen, and microorganisms break down pollutants, helping to restore the quality of the air we breathe.

For similar triangles, the ratio of areas is the square of the ratio of sides. Sides are in the ratio √121 : √169 = 11 : 13, so the longest side of the smaller triangle = 26 × 11/13 = 22 cm.

Actual marks × 1.25 = 75, so actual marks = 75/1.25 = 60.

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

Mean 12 for 6 values means a total of 72. The known values add to 10 + 8 + 15 + 12 + 25 = 70, so K = 2.

The differences are 0.5, 1, 1.5, 2, 2.5, 3. So the missing term = 4 + 2 = 6 (then 6 + 2.5 = 8.5 and 8.5 + 3 = 11.5).

Fibre crops such as cotton and jute are grown for fibre, not food. Coffee, oilseeds and sugarcane are food or beverage crops.

LCM(4, 9, 14) = 252 = 2² × 3² × 7. To be a perfect square, every prime power must be even, so multiply by 7: 252 × 7 = 1764 = 42².

One of the conditions for state-party recognition is securing at least 6% of the valid votes in the state assembly election and winning at least 2 seats.

'Satyameva Jayate' (Truth alone triumphs), India's national motto, comes from the Mundaka Upanishad.

The States Reorganisation Commission under Fazl Ali was constituted in December 1953. Its report led to the States Reorganisation Act, 1956.

Replacing the letters: 9 + 20 × 12 ÷ 6 − 8. By BODMAS: 20 × 12 ÷ 6 = 40, so the value is 9 + 40 − 8 = 41.

Flora means the plants and fauna means the animals of a particular region.

The basic physical states of matter are solid, liquid and gas. A colloid is a type of mixture (particles dispersed in a medium), not a state of matter.

Only taxi = 150 − (25 + 40 + 20 + 30 + 25) = 10. People using only one mode = 25 (bus) + 40 (train) + 30 (car) + 10 (taxi) = 105, and 105/150 = 70%.

Taxi users = 20 (taxi and train) + 25 (bus and taxi) + 10 (only taxi) = 55.

NASA's Juno spacecraft, launched in 2011, entered orbit around Jupiter on 4 July 2016 to study the planet's composition and magnetic field.

Germanium, like silicon, is a group-14 element whose conductivity lies between conductors and insulators. It is a semiconductor, used in transistors and diodes.

Speed = 600 m / 300 s = 2 m/s. Converting: 2 × 18/5 = 7.2 km/h.

Akbar's share is 4 parts and Amar's 3, so 1 part = 50 chocolates. Anthony gets 5 parts = 250.

Rectangle area = 5 × 2 = 10 sq m; the shaded square = 2 × 2 = 4 sq m, so the unshaded part = 6 sq m. The ratio is 4 : 6 = 2 : 3.

NITI Aayog, which replaced the Planning Commission in January 2015, stands for National Institution for Transforming India.

Bhutan lies in the Eastern Himalayas, between India's Sikkim and Arunachal Pradesh and Tibet (China).

Distance = 60 × 45/60 = 45 km. To cover it in 40 minutes, speed = 45 ÷ (40/60) = 67.5 km/h.

On 5 September 2016 the WHO certified Sri Lanka as malaria-free, the second country in its South-East Asia region after the Maldives.

After swapping ÷ and ×: 45 × 0.4 − 21 ÷ 3 + 1 = 18 − 7 + 1 = 12.

Adult franchise – the right of every adult citizen to vote – is a pillar of democracy. Child marriage, dowry and untouchability are social evils.

Amount = 6400 × (5/4)³ = 6400 × 125/64 = Rs 12,500. Compound interest = 12,500 − 6,400 = Rs 6,100.

DNS stands for Domain Name System, which translates website names like www.example.com into numerical IP addresses.