RRB NTPC CBT 2 2017: సమాధానాలతో ప్రశ్నలు

The exterior angles of any polygon add up to 360°. With each exterior angle 9°, the number of sides = 360 ÷ 9 = 40.

Let x = 0.5656…. Then 100x = 56.5656…, so 100x − x = 56 and x = 56/99. A two-digit repeating block always goes over 99.

The rule is n² + 2: 3² + 2 = 11. Applying the same rule, 7² + 2 = 49 + 2 = 51.

Convert to decimals: 4/15 = 0.2667, 0.33 = 0.3300 and 1/3 = 0.3333. In ascending order: 4/15, 0.33, 1/3.

Type I sales rose from 81 (2003) to 107 (2004), a growth factor of 107/81 ≈ 1.321 (32.1%). The same growth in 2005 gives 107 × 1.321 ≈ 141 vehicles.

Total sales in 2002 = 72 + 79 + 248 + 210 + 404 = 1013. Type I sales in 2003 = 81, and 81/1013 × 100 ≈ 8%.

Type II as a share of Type V: 2000 → 64/340 ≈ 18.8%, 2002 → 79/404 ≈ 19.6%, 2003 → 93/411 ≈ 22.6%, 2004 → 112/442 ≈ 25.3%. Only 2004 is about 25%.

Increase from 2002 to 2003: Type I 9/72 = 12.5%, Type II 14/79 ≈ 17.7%, Type III 32/248 ≈ 12.9%, Type IV 31/210 ≈ 14.8%, Type V 7/404 ≈ 1.7%. Type II has the largest percentage increase.

Light entering the glass core of an optical fibre strikes the core–cladding boundary at more than the critical angle, so it is totally internally reflected again and again and travels along the fibre with very little loss.

The UN was founded on 24 October 1945. To mark its 70th anniversary on 24 October 2015, over 350 landmarks in more than 90 countries – the Pyramids, Christ the Redeemer and others – were lit in UN blue.

Volume of a cylinder = πr²h = 22/7 × 1² × 2 = 44/7 cubic cm.

From 'Some kings are queens' and 'All queens are beautiful' we can only say that some kings are beautiful. 'All kings are beautiful' does not follow, and 'All queens are kings' cannot be drawn from 'some kings are queens'. So neither conclusion follows.

Replacing the symbols: 20 × 8 ÷ 8 − 4 + 2 becomes 20 + 8 − 8 ÷ 4 × 2. Using BODMAS: 8 ÷ 4 × 2 = 4, so the value is 20 + 8 − 4 = 24.

Mean = (3 + 10 + 10 + 4 + 7 + 10 + 5)/7 = 49/7 = 7. The absolute deviations from 7 are 4, 3, 3, 3, 0, 3, 2, which add to 18. Mean deviation = 18/7.

The man's mother's only daughter is the man's sister, and she is Anitha's mother. So the man is Anitha's maternal uncle, and Anitha is his niece.

The Environment (Protection) Act was passed in 1986, after the Bhopal gas tragedy of 1984, as an umbrella law to protect and improve the environment.

Let each part be d km. Time = d/10 + d/30 + d/8 hours = d(12 + 4 + 15)/120 = 31d/120 hours. This equals 15.5 minutes = 31/120 hour, so d = 1 km. Total distance = 3 × 1 = 3 km.

In Swachh Survekshan 2016, the first cleanliness survey of 73 cities released in February 2016, Mysuru (Mysore) was ranked the cleanest city, followed by Chandigarh and Tiruchirappalli.

If Kamal does 1 unit a day, Ehsaan does 2, so together they do 3 units a day. The work = 3 × 29 = 87 units, and Kamal alone needs 87 ÷ 1 = 87 days.

In 2015 IRCTC launched the 'Desert Circuit' semi-luxury tourist train, covering Jaipur, Jodhpur and Jaisalmer in Rajasthan. Palace on Wheels and Royal Rajasthan on Wheels are the separate full-luxury trains.

Simple interest = 500 × 5 × 4 / 100 = Rs 100. The amount to clear the debt = 500 + 100 = Rs 600.

Nine states touch the coastline – Gujarat, Maharashtra, Goa, Karnataka, Kerala, Tamil Nadu, Andhra Pradesh, Odisha and West Bengal – and four Union Territories: Daman & Diu (now Dadra & Nagar Haveli and Daman & Diu), Puducherry, Lakshadweep and Andaman & Nicobar Islands.

Together the holes empty 1/9 + 1/6 = 2/18 + 3/18 = 5/18 of the tank per minute. Time = 18/5 = 3 3/5 minutes.

The Mahabodhi Temple Complex is at Bodh Gaya in Bihar, where the Buddha attained enlightenment. It is a UNESCO World Heritage Site.

NASA's MESSENGER (MErcury Surface, Space ENvironment, GEochemistry and Ranging), launched in August 2004, was the first spacecraft to orbit Mercury (2011–2015).

Mount St. Helens is an active stratovolcano in Washington State, USA. Its eruption of 18 May 1980 was the deadliest and most destructive in US history.

The first Rs 2000 earns interest for 2 years: 2000 × 1.05² = Rs 2205. The second Rs 2000 earns for 1 year: 2000 × 1.05 = Rs 2100. Total at the end of year 2 = Rs 4305.

The father of Deepak's father is his grandfather, and the grandfather's granddaughter is Deepak's sister (or cousin). Her husband Raju is therefore Deepak's brother-in-law.

When the tank accelerates forward, the liquid tends to stay behind (inertia). Its surface becomes an inclined plane: it falls at the front, in the direction of motion, and rises at the back of the tank.

The fourth proportional x satisfies 2 : 3 = 6 : x, so x = 3 × 6 / 2 = 9.

Option 4 becomes 9 + 9 ÷ 9 − 9 × 9 = 9 + 1 − 81 = −71, which is true. Checking option 1: 11 × 34 ÷ 17 − 8 ÷ 3 = 22 − 8/3 = 58/3, not 38/3, and options 2 and 3 also fail.

Compounded quarterly at 20% a year, the rate is 5% per quarter, and 9 months = 3 quarters. Amount = 16000 × 1.05³ = 16000 × 1.157625 = Rs 18,522. Compound interest = Rs 2522.

With cost price C, the selling prices are 1.04C and 1.06C. Their ratio is 104 : 106 = 52 : 53 (the Rs 3 difference is not needed for the ratio).

HCF(3341, 3328) divides their difference, 13. Both are multiples of 13: 3328 = 13 × 256 and 3341 = 13 × 257. So the HCF is 13.

At a 15% loss, SP = 0.85 × CP, so CP = 18700 / 0.85 = Rs 22,000. For a 15% profit, SP = 1.15 × 22000 = Rs 25,300.

The First Schedule of the Constitution lists the States and Union Territories and their territories. The Fourth Schedule allots Rajya Sabha seats.

Justice Reva Khetrapal, a former Chief Justice of the Himachal Pradesh High Court, was appointed Lokayukta of Delhi in 2015 and held the post at the time of this exam (January 2017). Justice Manmohan Sarin was her predecessor.

In Windows a file is identified in a folder by its full name, name plus extension. Two files with the same name and the same file type (extension) would have identical full names, which is not allowed. Files with the same name but different extensions can coexist.

Cost per minute = 32/6 = Rs 5.333. For 4 minutes: 5.333 × 4 ≈ Rs 21.33, i.e. about Rs 21.30.

Gandhara art, a blend of Greco-Roman and Indian styles that produced the first human images of the Buddha, flourished under the Kushan rulers, especially Kanishka.

1112 ÷ 139 = 8 (since 139 × 8 = 1112). Then 8 − 5 = 3.

Statement I: with 47 students, Gowtham's rank from the last = 47 − 18 + 1 = 30. Statement II: Jegan is 10th from the top and 38th from the last, so the class has 10 + 38 − 1 = 47 students, which again gives 30. Either statement alone is sufficient.

The work is 3 × 10 = 30 man-days. Five men need 30 ÷ 5 = 6 days.

The 2015 UN Climate Change Conference (COP 21) was held in Paris, where the Paris Agreement to keep warming well below 2°C was adopted.

Galactose, glucose and fructose are monosaccharides (single sugar units). Maltose is a disaccharide made of two glucose units.

n(A ∩ B) = n(A) + n(B) − n(A ∪ B) = 28 + 32 − 40 = 20.

Elements only in B = n(B) − n(A ∩ B) = 32 − 20 = 12.

UNITAR is the United Nations Institute for Training and Research, set up in 1963 to train officials and improve the effectiveness of the UN.

As per the official RRB key, the 12th National Ice-Skating Championship was hosted by Jammu and Kashmir. Ice skating in India is mostly organised at natural rinks in J&K and Himachal Pradesh.

A geostationary satellite orbits at about 35,786 km above the equator and completes one revolution in the time Earth takes to rotate once – about 24 hours (more exactly one sidereal day) – so it appears fixed over one spot.

The first letters go forward (A, B, C, D) and the second letters go backward from Z (Z, Y, X, W). The next pair is DW.

0.55 × 4.5 / 0.81 = 2.475 / 0.81 = 2475/810 = 55/18 (≈ 3.056).

(2x)² − (2y)² − (4x)² = 4x² − 4y² − 16x² = −12x² − 4y².

The proverb only says that luck favours the brave. It does not state that risks are necessary for success, and it says nothing about cowards. Both conclusions bring in ideas not present in the statement, so neither follows.

With sin x = 4/5, cos x = 3/5 (first quadrant). Then cosec x = 5/4 and cot x = cos x / sin x = 3/4. Their sum = 8/4 = 2.

Nanda Devi (7,816 m), the highest peak lying wholly within India, is in the Garhwal Himalaya of Uttarakhand.

Makar Sankranti, Pongal (Tamil Nadu), Lohri (Punjab) and Baisakhi (Punjab, April) all celebrate the harvest. They are not all North Indian and not all in January.

15% of 34 = 0.15 × 34 = 5.1.

The cohesive pull between liquid molecules at the surface makes the surface behave like a stretched film that tries to have the least area. This is surface tension, and it is why drops are spherical.

The Supreme Court (Number of Judges) Amendment Act, 2008 raised the strength to the Chief Justice and 30 other judges (31 in all). A later amendment in 2019 raised it to 33 other judges.

After swapping + with ÷ and 2 with 4, option 4 '2 + 4 ÷ 6 = 8' becomes 4 ÷ 2 + 6 = 2 + 6 = 8, which is correct. For example option 1 becomes 2 + 4 ÷ 3 = 3.33, not 6.

China launched Gaofen-4 in December 2015. It is a high-resolution Earth observation satellite in geostationary orbit, described as the world's most powerful GEO imaging satellite.

In December 2015 the Ministry of Railways signed an MoU with IIT Madras to set up a Centre for Railway Research, to develop technology for the railways.

The Torah, the first five books of the Hebrew Bible, is the central religious text of Judaism. The Dhammapada and Tripitaka are Buddhist texts.

The Multi Application Solar Telescope (MAST) was installed at the Udaipur Solar Observatory, on an island in Lake Fatehsagar, run by the Physical Research Laboratory (PRL).

KINDLE written backwards is ELDNIK. Writing FASHION backwards gives NOIHSAF.

In December 2015 NASA reported that Curiosity found high concentrations of silica in rocks near Marias Pass on Mars, pointing to an ancient wet environment.

Sanctuary Asia's 2015 Sanctuary Legend Award (lifetime service to wildlife) went to Ashok Kumar, a founder of the Wildlife Trust of India and a veteran of the fight against wildlife trade.

Bombayla Devi Laishram of Manipur is an Indian recurve archer who represented India at the 2008, 2012 and 2016 Olympics.

For two numbers, product = HCF × LCM. So HCF = 3026 / 89 = 34.

Elephant, leopard and bat are mammals – the bat is a flying mammal that suckles its young. The eagle is the only bird, so it is the odd one out.

Gain = 28.60 − 27.50 = Rs 1.10. Gain % = 1.10/27.50 × 100 = 4%.

Each pair is two consecutive prime numbers: (2, 3), (3, 5), (5, 7), (7, 11), (11, 13). The next pair is (13, 17).

Abhinav Bharat was founded by Vinayak Damodar Savarkar and his brother Ganesh in 1904, growing out of the Mitra Mela they had started in Nashik.

AKBLU rearranges to KABUL, the capital of Afghanistan.

Walking both ways takes 12 h 30 min, so one way on foot takes 6 h 15 min. Walk + cycle = 9 h 55 min, so cycling one way = 9 h 55 min − 6 h 15 min = 3 h 40 min. Cycling both ways = 7 h 20 min.

The extension after the dot in a file name (.docx, .jpg, .exe) tells the operating system the file's type and which program opens it.

The Ajanta caves in Maharashtra are Buddhist rock-cut caves (2nd century BCE to about 480 CE). Their murals depict the Jataka tales and the life of the Buddha.

GUI stands for Graphical User Interface – the way of using a computer through windows, icons, menus and a pointer instead of typed commands.

Rational numbers (p/q, q ≠ 0) form part of the real numbers. Not every rational number is an integer or a whole number (e.g. 1/2), and none is irrational.

Under Article 243E, elections to a Panchayat that is dissolved must be completed within six months from the date of dissolution.

J.J. Thomson discovered the electron in 1897 through his cathode-ray tube experiments. Rutherford discovered the nucleus and Bohr proposed the atomic model.

In October 2016 the CCAMLR members agreed to create the world's largest Marine Protected Area in the Ross Sea off Antarctica, covering about 1.55 million sq km.

Ram is third to the left of Bharat, so they sit opposite. Anil sits next to Bharat with Dilip beside him, then Ram; Vijay is between Ram and Karathi, and Karathi is next to Bharat. The order round the circle is Bharat, Anil, Dilip, Ram, Vijay, Karathi. Anil and Vijay are opposite each other, so Anil is third to the right of Vijay.

With the order Bharat, Anil, Dilip, Ram, Vijay, Karathi round the circle, Ram sits between Dilip and Vijay.

With the order Bharat, Anil, Dilip, Ram, Vijay, Karathi round the circle, Karathi sits between Vijay and Bharat.

Boys = 1/5 × 200 = 40, so girls = 200 − 40 = 160.

A surge protector diverts sudden voltage spikes (from lightning or switching) to earth, protecting the electrical devices plugged into it.

Buses leave 10 minutes apart at 20 km/h, so they are 20 × 10/60 = 10/3 km apart. The man meets them every 8 minutes, so the relative speed (20 + v) × 8/60 = 10/3, giving 20 + v = 25 and v = 5 km/h.

Bholu, the elephant guard, has been the mascot of Indian Railways since the railways' 150th anniversary in 2003.

The numbers are 3 × 20 = 60 and 5 × 20 = 100. LCM = 20 × 3 × 5 = 300.

Primary consumers (herbivores such as deer) eat producers – plants. Secondary consumers (such as frogs or snakes) eat the primary consumers.

With each letter replaced by its position: B = 2, I = 9, D = 4, D = 4, I = 9, C = 3. BIDDIC = 294493.

All start with 'Ac'. Comparing the third letter, 'c' (Accumulate, Account) comes before 'h' and 't'. Between Accumulate and Account, the fourth letters are 'u' and 'o', and 'o' comes first. So Account comes first.

Bhutan is the world's first carbon-negative country: its forests absorb more carbon dioxide than the country emits, and its constitution requires at least 60% forest cover.

Amitabh Kant became CEO of NITI Aayog in February 2016, succeeding Sindhushree Khullar, the first CEO. Arvind Panagariya was then the Vice-Chairman and Arvind Subramanian the Chief Economic Adviser.

In 2015 ICICI Bank became the first bank to tie up with IRCTC to let customers book railway tickets directly through the bank's own website.

Each letter of the group moves forward by one: P→Q→R→S→T, B→C→D→E→F and A→B→C→D→E. The next group is TFE.

CI = 8500 × [(1.04)² − 1] = 8500 × 0.0816 = Rs 693.60. (Rs 9193.60 would be the amount, not the interest.)

Amazon India signed an MoU with NIESBUD, under the Ministry of Skill Development and Entrepreneurship, to train and help small businesses sell online.

The ionosphere (about 60–600 km) contains charged particles that reflect radio waves back to Earth, making long-distance radio communication possible.

Surface area of a sphere = 4πr² = 4 × 22/7 × 1² = 88/7 sq cm.

The ratio has 2 + 3 + 4 + 5 = 14 parts, and each part = 210/14 = Rs 15. The shares are 30, 45, 60 and 75.

The statement says a good voice is a natural gift that must be nurtured by practice, so Conclusion I follows. Conclusion II reverses it: practice improves a gift but cannot create a natural gift. Only I follows.

12 × 4 = 48, 48 × 5 = 240, so the next term is 240 × 6 = 1440.

While buying he takes 10% more goods than he pays for, and while selling he charges 10% more than the goods he gives. Each cheat multiplies his money by 1.1, so overall he gets 1.1 × 1.1 = 1.21 times his cost – a gain of 21%.

Thick and thin are opposites. The opposite of idle (lazy, not working) is industrious (hard-working).

From ENTRY = 98462: E = 9, N = 8, T = 4, R = 6, Y = 2. From STEADY = 749312: S = 7, A = 3, D = 1. So NEATNESS = 8 9 3 4 8 9 7 7 = 89348977.

According to the Horticultural Statistics for 2015, Uttar Pradesh was the largest producer of mangoes in India, ahead of Andhra Pradesh and Karnataka.

Mumbai Garuda won the first Pro Wrestling League (December 2015–January 2016), beating Haryana Hammers in the final.

Under Article 222, the President transfers a High Court judge to another High Court, after consulting the Chief Justice of India.

Statement I alone gives no number. Statement II gives Vinay + Keshav + Arjun = 32 and Arjun = Vinay + Keshav, so Vinay + Keshav = 16, but not Guna's age. Together, Vinay = Keshav = Guna, so each is 8. Both statements are needed.

A shirt is a type of garment; in the same way a potato is a type of vegetable.

The mode is the most frequent value. 9 occurs three times (more than any other number), so the mode is 9.

Low temperature slows down the fruit's own respiration and the growth of microbes, so the fruit ripens and spoils more slowly.

Lord Canning was Governor-General during the revolt of 1857. After the Crown took over in 1858 he became the first Viceroy of India.

The 8th BRICS Summit was held in Goa on 15–16 October 2016 under India's chairmanship, with the theme 'Building Responsive, Inclusive and Collective Solutions'.

All poets are readers and no reader is wise, so no poet can be wise – Conclusion I follows. 'All poets are readers' does not mean all readers are poets, so II does not follow.

Percentage = 22/25 × 100 = 88%.

Dharun and Anand are brothers, so both are sons of Kumar. Krishnan is Kumar's father, so Anand is Krishnan's grandson.