RRB NTPC CBT 1 2016: উত্তরসহ প্রশ্ন

On 8 April 1929 Bhagat Singh and Batukeshwar Dutt threw non-lethal bombs in the Central Legislative Assembly in Delhi to protest repressive laws, and courted arrest. Both were the main accused in the Assembly Bomb Case.

The Union Budget 2015–16 announced new IIMs in Jammu & Kashmir and Andhra Pradesh, along with an IIT in Karnataka and AIIMS in several states.

CDM stands for Clean Development Mechanism, set up under the Kyoto Protocol. It lets developed countries earn carbon credits by funding emission-reduction projects in developing countries.

R is the son of P's father's brother or sister, i.e. R is P's cousin. S is also P's cousin but is not R's brother. Among the options, the relation that fits is that S is R's sister (a female cousin in the same family).

Hyderabad is known as the 'City of Pearls' for its centuries-old pearl trade and processing industry, which flourished under the Nizams. Kanpur is called the 'Manchester of the East' for its textile mills.

Selling at Rs 45 gives a 20% loss, so the cost price = 45/0.8 = Rs 56.25 per kg. For a 20% profit, the SP = 56.25 × 1.2 = Rs 67.50.

'Most garments are expensive' implies that not all are, so some garments in the shop are cheap. Nothing says the cheap ones are handloom, and 'no cheap garments' contradicts the statement.

In figures 1, 2 and 4 the line inside the circle is a diameter: it passes through the centre. In figure 3 the line is a chord that does not pass through the centre, so figure 3 is different.

With 5% depreciation a year, the value after 3 years = 8,00,000 × (0.95)³ = 8,00,000 × 0.857375 = Rs 6,85,900.

Zeatin, a natural cytokinin (plant hormone that promotes cell division), is made mainly in the roots and carried upward to the shoots through the xylem.

A face-off is how play starts or restarts in (ice) hockey: the puck is dropped between two opposing players. Kickoff belongs to football and bodyline to cricket. (Offside is used in several sports.)

Morarji Desai had been Chief Minister of Bombay State, and Charan Singh and V. P. Singh had both been Chief Ministers of Uttar Pradesh before becoming Prime Minister. Indira Gandhi was never a Chief Minister.

Switzerland topped the World Happiness Report 2015 published by the UN Sustainable Development Solutions Network, followed by Iceland, Denmark and Norway.

Construction of the Mecca Masjid in Hyderabad was begun in 1617 by Muhammad Qutb Shah and completed in 1694 under the Mughal emperor Aurangzeb, after he conquered Golconda.

Since A + B = 90°, A = 90° − B, so sin A = sin(90° − B) = cos B = 1/3.

The Internet is the largest network: a global network of networks covering the whole world. A WAN spans a country or region, a MAN a city, and an intranet is a private network of one organisation.

Dolphins are generally regarded as the most intelligent mammals after humans. They have large brains relative to body size, use complex communication, recognise themselves in mirrors and solve problems.

Coins are collected by a numismatist, books loved by a bibliophile and postcards collected by a deltiologist. A stamp collector is a philatelist; a phillumenist collects matchboxes, so 'Stamps : Phillumenist' is the odd pair.

x² = 25² − 15² = (25 − 15)(25 + 15) = 10 × 40 = 400, so x = 20.

The 42nd Amendment Act, 1976, passed during the Emergency, made sweeping changes, including adding 'socialist', 'secular' and 'integrity' to the Preamble and the Fundamental Duties. Because of its scope it is called the 'mini-constitution'.

From SIGN = 8367: S 8, I 3, G 6, N 7. From DIRECT = 134259: D 1, I 3, R 4, E 2, C 5, T 9. So SIREN = S 8, I 3, R 4, E 2, N 7 = 83427.

Statements A, B and C are true. D is wrong: rolling friction is much less than sliding friction, and that is exactly why ball bearings (which make parts roll instead of slide) reduce friction in machines.

In 1676 the Danish astronomer Ole Rømer first showed that light travels at a finite speed, by timing the eclipses of Jupiter's moon Io, which happened earlier or later depending on Earth's distance from Jupiter.

SI = P × R × T/100 = 1800 × 5 × 10/100 = Rs 900.

The Indira Gandhi National Centre for the Arts (IGNCA), set up in 1987 under the Ministry of Culture to research and preserve the arts, is headquartered in New Delhi.

The LCM of 8, 12 and 16 is 48. The greatest four-digit multiple of 48 is 9984 (48 × 208). Adding the remainder 2 gives 9986.

The official key marks California: an Indian Independence League was formed among Indian immigrants on the US Pacific coast in 1907 (by Taraknath Das and others), a forerunner of the Ghadar movement.

Amount = P(1 + r)³, so (1 + r)³ = 670/305 ≈ 2.197 = 1.3³. So 1 + r = 1.3 and the rate is 30% per annum.

Pankaj Advani won his 13th world title at the 2014 IBSF World 6-Red Snooker Championship in Sharm El-Sheikh, Egypt, beating China's Yan Bingtao in the final.

Normal rain is slightly acidic (pH about 5.6) because of dissolved CO₂. Rain with a pH of about 5.5 or lower is called acid rain; it is caused by sulphur dioxide and nitrogen oxides forming acids in the air.

All tables are instruments and all instruments are pianos, so all tables are pianos; II follows. But 'all instruments are pianos' does not mean all pianos are instruments, so I does not follow.

Russian cosmonaut Yuri Malenchenko married Ekaterina Dmitrieva on 10 August 2003 while he was aboard the International Space Station and she was in Houston, the first wedding in space.

Angara is a family of Russian rockets developed by the Khrunichev Space Center, described as 'ecologically clean' because it burns kerosene and liquid oxygen instead of toxic hydrazine fuels. It first flew in 2014.

Find two numbers with product 12 and sum 8: they are 6 and 2. So x² + 8x + 12 = (x + 6)(x + 2).

In each column, the product of the first two numbers divided by the third gives the bottom number: 18 × 12 ÷ 3 = 72 and 32 × 16 ÷ 4 = 128. For the middle column, 24 × 14 ÷ ? = 112, so ? = 336/112 = 3.

The ICC was founded in 1909 as the Imperial Cricket Conference. It became the International Cricket Conference in 1965 and the International Cricket Council in 1989.

An average of 76.2 over 5 subjects means a total of 76.2 × 5 = 381. The four known marks add to 76 + 87 + 83 + 78 = 324. So the Social Science mark x = 381 − 324 = 57.

Let the base be b, so the perpendicular is b + 4 and the hypotenuse b + 8. By Pythagoras, b² + (b + 4)² = (b + 8)², which simplifies to b² − 8b − 48 = 0, so b = 12. The sides are 12, 16 and 20 cm, so the hypotenuse is 20 cm.

The gain equals the cost price of 11 m on a cost price of 33 m. Gain % = 11/33 × 100 = 33.33%.

From the chart, investment was 24.23 in 1996 and 31.36 in 1997. The absolute difference = 31.36 − 24.23 = 7.13.

If the countries' share stays proportional to the total, it grows by the same factor as the total: 31.36/5.7 ≈ 5.50. So 1997 investment from the countries = 2 × 31.36/5.7 ≈ 11.0 million euro.

Year-on-year growth: 1993 (5.7 → 10.15) ≈ 78%, 1994 ≈ 20%, 1995 a fall, 1996 (10.22 → 24.23) ≈ 137%, 1997 ≈ 29%. The highest growth was in 1996.

In any equilateral triangle the inradius is a/(2√3) and the circumradius a/√3, so their ratio is always 1 : 2, whatever the area.

STRING → TSIRGN swaps each pair of letters: ST → TS, RI → IR, NG → GN. RANDOM → RA, ND, OM → AR, DN, MO = ARDNMO.

The numbers are 48, 49, 50, 51 and 52 (average 50). Largest × smallest = 52 × 48 = 2496 and fourth × second = 51 × 49 = 2499. The difference between the two products is 3 (in general (n² − 4) and (n² − 1) differ by 3).

The Group of Monuments at Mahabalipuram (Mamallapuram), built by the Pallava kings in the 7th–8th centuries, was in Kancheepuram district of Tamil Nadu (now Chengalpattu district). It includes the Shore Temple and the Pancha Rathas.

Each row is a Pythagorean triple: 13² = 12² + 5², 17² = 15² + 8² and 29² = 21² + 20². For the third row, 25² − 24² = 625 − 576 = 49 = 7², so the missing number is 7.

From COTTON = 325526: C 3, O 2, T 5, N 6. From WOOLEN = 122976: W 1, O 2, L 9, E 7, N 6. So TOWEL = T 5, O 2, W 1, E 7, L 9 = 52179.

0.0144 = 144/10000, so √0.0144 = 12/100 = 0.12.

Sum of squares of 1 to n = n(n + 1)(2n + 1)/6. For n = 9: 9 × 10 × 19/6 = 285.

Venus's thick atmosphere is about 96% carbon dioxide, with clouds of sulphuric acid. The runaway greenhouse effect makes it the hottest planet, at about 465 °C.

Antonie van Leeuwenhoek, a Dutch scientist, built powerful single-lens microscopes in the 1670s and used them to discover bacteria and protozoa. He is called the 'father of microbiology' and is associated with the microscope.

The thief had a 4-hour head start and was caught 4 hours after the police began, so he rode for 8 hours while the jeep drove 4 hours at 40 km/h = 160 km. So 8x = 160, and x = 20 km/h.

2 mm stands for 500 km, so 1 mm = 250 km. A map distance of 3.6 mm = 3.6 × 250 = 900 km.

Each figure has three leaves from one point: two close together and one apart. Figures 2, 3 and 4 are the same shape rotated, with the single leaf on the same side of the pair each time. In figure 1 the arrangement is reversed, a mirror image, so figure 1 is different.

Electroconvulsive therapy (ECT), popularly called shock treatment, passes small electric currents through the brain under anaesthesia to trigger a brief seizure. It is used for severe depression and some other psychiatric illnesses.

For powers of the same base, the LCM is the highest power, which every other power divides. Of 3⁵, 3¹¹, 3⁻¹¹ and 3¹⁴, the highest is 3¹⁴.

Figures 1, 2 and 3 each contain the same five symbols: ×, =, ○, + and △. Figure 4 has a square in place of the + sign, so it is different.

Normal human body temperature is taken as 98.6 °F (37 °C), though it varies slightly between people and through the day.

Let √x = t, so t² − t − 20 = 0, i.e. (t − 5)(t + 4) = 0. A square root cannot be negative, so √x = 5 (x = 25).

For FY 2015–16, the basic income tax exemption limit for individuals below 60 and for HUFs was Rs 2.5 lakh. Senior citizens (60–80) had Rs 3 lakh and very senior citizens Rs 5 lakh.

Control rods of boron (or cadmium) absorb neutrons without undergoing fission, so lowering or raising them controls the chain reaction. Heavy water and graphite are moderators, which slow neutrons down rather than absorbing them.

In each row, the middle number = first × third + 3: 3 × 4 + 3 = 15 and 7 × 5 + 3 = 38. So the missing number = 3 × 5 + 3 = 18.

Upstream takes twice as long, so the upstream speed is half the downstream speed: 4 + s = 2(4 − s). Then 3s = 4 and s = 4/3 ≈ 1.33 km/h.

Each bottom number is the square of the middle number minus the square of the top: 11² − 1² = 120 and 7² − 2² = 45. So ? = 5² − 3² = 25 − 9 = 16.

'Some mats are brooms' converts to 'Some brooms are mats', so II follows. Pencils and mats are both linked only to brooms, so we cannot say some mats are pencils; I does not follow.

One worker has four children and no one else in the industry has four. So exactly one worker has exactly four children. Nothing is said about the others having children or having more than four.

The largest two-digit prime is 97 and the smallest is 11. 97² − 11² = 9409 − 121 = 9288.

30 students weigh 30 × 25 = 750 kg in all. With the teacher the average is 27 kg for 31 people: 31 × 27 = 837 kg. The teacher weighs 837 − 750 = 87 kg.

The Great Red Spot is a giant anticyclonic storm on Jupiter, larger than the Earth, that has been observed for at least 150 years.

Tina is stated to sit to the immediate right of Veera. So the person just to the right of Veera is Tina.

The information says directly that Tina sits to the immediate right of Veera.

Going round, Priya is immediately left of Veera and Tina immediately right, and Rashmi is fourth to the right of Priya (directly opposite Veera's other side). Swapping Priya and Rashmi moves Priya away from Veera, but Tina stays beside Veera, so Veera and Tina still sit together.

Only some doctors are kings, so we cannot say all doctors are handsome; I fails. All kings are handsome, but nothing says all kings are doctors; II fails. Neither follows.

Bangladesh's Prime Minister Sheikh Hasina received the UN Environment Programme's Champions of the Earth award in 2015 in the Policy Leadership category, for her climate-change policies.

All three together do 1/2 of the work per hour; Mukesh does 1/5 and Sachin 1/4. Manish's rate = 1/2 − 1/5 − 1/4 = (10 − 4 − 5)/20 = 1/20, so he alone takes 20 hours.

K. V. Kamath, former chairman of Infosys and non-executive chairman of ICICI Bank, was appointed the first President of the BRICS New Development Bank in 2015.

Atoms, ions or molecules with the same number of electrons are called isoelectronic, for example Na⁺, Ne and F⁻, each with 10 electrons. Isotopes share the same number of protons, and isotones the same number of neutrons.

Analog computers work on continuously varying physical quantities (voltage, pressure) and process them directly, without storing data in memory. Digital and hybrid computers need storage.

Fertilisation, the fusion of sperm and ovum, normally takes place in the fallopian tube (oviduct). The fertilised egg then travels to the uterus, where it implants.

TOGGLE → OTGGEL swaps each pair: TO → OT, GG → GG, LE → EL. KEPLER → KE, PL, ER → EK, LP, RE = EKLPRE.

Movies make viewers feel that violent crime against them is very likely, while also teaching them to passively accept whatever happens. Together these create a sense of helpless vulnerability. The passage doesn't claim movies cause crime or that viewers are really victimised more.

The south-west monsoon winds blow from the Indian Ocean towards India; their Arabian Sea branch strikes the Kerala coast first in early June. Of the options, it originates over the Arabian Sea (with a second branch from the Bay of Bengal).

In the third period (Na to Ar), electropositivity decreases and electronegativity increases from left to right. So sodium is the most electropositive and chlorine the most electronegative (argon, a noble gas, is excluded).

In continued proportion, 22 : x = x : 88, so x² = 22 × 88 = 1936 and x = 44 (the mean proportional).

Shreya is Sanjay's daughter and Jay is Shreya's brother, so Jay is Sanjay's son. Rajat is Sanjay's brother, so Rajat is Jay's uncle. (Manish, the father of Rajat and Sanjay, is Jay's grandfather.)

P, Q and R are siblings and P is S's son, so Q is also S's son and P is R's brother. But S's gender is not given, so 'S is the father of Q' cannot be said to be true; S could be the mother.

Non-urban, unemployed people who are neither foolish nor lazy lie inside the circle but outside the triangle and both rectangles. That is the region marked 7.

Non-urban, unemployed, lazy and foolish people lie inside the circle, the small rectangle and the tilted rectangle, but outside the triangle. That is the region marked 9.

People who are unemployed, lazy, urban and foolish lie in the region common to all four shapes, which is marked 1.

Pakistan's parliament is called the Majlis-e-Shoora. It has two houses, the National Assembly and the Senate. The 'Jatiya Sangsad' is Bangladesh's parliament.

The official key marks Maharashtra, long the leading state for cotton textile mills, with Mumbai once known for its mills. Gujarat (Ahmedabad, the 'Manchester of India') and Tamil Nadu also have many.

A 100 m rope around a square gives a perimeter of 100 m, so each side is 25 m. Area = 25² = 625 m².

Mainframe computers, large and powerful machines used by banks and governments to process huge volumes of transactions, are nicknamed 'big iron'.

0.9A = 0.3B gives B = 3A, i.e. B is 300% of A. So x = 300.

In decimals: 3/4 = 0.75, 4/5 = 0.80, 5/6 ≈ 0.833 and 7/8 = 0.875. The largest is 7/8.

sin 60° = √3/2 ≈ 0.866. (sin 45° = 1/√2 and sin 30° = 1/2.)

The pituitary releases TSH and prolactin (anterior lobe) and vasopressin (posterior lobe, made in the hypothalamus). Somatostatin is produced by the hypothalamus and by the delta cells of the pancreas, not by the pituitary.

A and B together do 23/28 of the work, so C does 5/28. Wages are shared by work done: C gets 5/28 × 784 = Rs 140.

Group the numbers: 200 × 20 × 2 = 8000 and 0.2 × 0.02 × 0.002 = 0.000008. Then 8000 × 0.000008 = 0.064.