RRB NTPC CBT 1 2016: సమాధానాలతో ప్రశ్నలు

By alligation: (65 − 50) : (50 − 35) = 15 : 15 = 1 : 1. Equal quantities of A and B give the average of Rs 50.

After Brihadratha, the last Mauryan king, was killed by his general Pushyamitra Shunga in about 185 BCE, the Shunga dynasty ruled Magadha.

'To Kill a Mockingbird' (1960), which won the Pulitzer Prize, was written by the American novelist Harper Lee.

Coal, oil and peat are fossil fuels formed from ancient plant and animal remains. Electricity is a form of energy produced from other sources, not a fossil fuel.

The Revolt of 1857 began on 10 May 1857 when sepoys rose at Meerut cantonment and marched to Delhi.

QBasic (Quick Beginners' All-purpose Symbolic Instruction Code), released by Microsoft in 1991 with MS-DOS, is a programming language and environment. The other names are not real products.

Each letter moves 10 places forward: A → K, F → P. So F → P and K → U, giving PU.

Venus is the hottest planet (about 465 °C) because its thick carbon dioxide atmosphere traps heat (runaway greenhouse effect), though Mercury is closer to the Sun.

Replacing the symbols: 8 ÷ 6 − 4 × 7 + 3 = 4/3 − 28 + 3 = 4/3 − 25 = −71/3.

Decode A: 7 × 3 > 2 – 8 + 2 × 9 becomes 7 + 3 × 2 = 8 ÷ 2 + 9, i.e. 13 = 13, which is true. B becomes 7 + 3 ÷ 2 > 8 × 2 + 9 (8.5 > 25, false), C becomes 7 × 3 + 2 < 8 ÷ 2 + 9 (23 < 13, false) and D becomes 7 − 3 ÷ 2 = 8 − 2 ÷ 9 (false).

(4x + 16) = 36x gives x = 1/2. Then 5x = 5/2 and 12x² + (14/11)x + 2 = 3 + 7/11 + 2 = 62/11. (5/2) ÷ (62/11) = 55/124.

Razia Sultan (ruled 1236–1240), daughter of Iltutmish, was the only woman to rule the Delhi Sultanate.

A tola (mohalla) is a small locality within a village; similarly a metropolis is made up of a city's localities, so it relates to 'city', as per the official key.

Coefficient of variation = (standard deviation ÷ mean) × 100 = 6/24 × 100 = 25%.

Australia won its first World Cup in 1987, beating England in the final at Kolkata's Eden Gardens, under captain Allan Border.

Reykjavik, Iceland's capital, runs almost entirely on renewable geothermal and hydro power and was rated the most energy-efficient city, as per the official key. (Denmark is a country, not a city.)

Total bonus = 3.00 + 2.52 + 3.84 + 3.68 + 3.96 = 17 lakh. Total salary = 288 + 342 + 324 + 336 + 420 = 1710 lakh. 17/1710 × 100 ≈ 0.99%, about 1%.

Total taxes = 83 + 108 + 74 + 88 + 98 = 451 lakh. Total fuel and transport = 98 + 112 + 101 + 133 + 142 = 586 lakh. 451 : 586 ≈ 0.77 ≈ 10 : 13.

2010 total = 324 + 101 + 3.84 + 41.6 + 74 = Rs 544.44 lakh.

Borobudur, the world's largest Buddhist temple (9th century, Sailendra dynasty), is in Central Java, Indonesia; it is a UNESCO World Heritage Site.

Dholavira in Kutch, Gujarat, is one of the largest Harappan (Indus Valley Civilisation) cities, known for its water reservoirs and signboard inscription.

2 years 8 months = 8/3 years. Rate = SI × 100 / (P × T) = 1976 × 100 × 3 / (7800 × 8) = 9.5%.

otro = ROOT, ealf = LEAF and orefwl = FLOWER are parts of a plant. ntpal = PLANT is the whole, so it is the odd one.

When two items are sold at the same price, one at x% profit and the other at x% loss, there is always a loss of x²/100 % = 30²/100 = 9%.

In 3 days Anil does 3/6 = 1/2 of the work and Binu 3/8, so Chitra does 1 − 1/2 − 3/8 = 1/8. Shares of Rs 240: Anil 120, Binu 90, Chitra 30. Anil gets 120 − 30 = Rs 90 more.

A flowchart represents an algorithm graphically with symbols (ovals, boxes, diamonds) joined by arrows. Pseudocode is a written, not graphical, description.

Kalikho Pul was sworn in as the 9th Chief Minister of Arunachal Pradesh on 19 February 2016, after a political crisis that led to President's Rule.

If A + B = 90°, then B = 90° − A and cos B = cos(90° − A) = sin A.

x + 1/x = 3 gives x² + 1/x² = 9 − 2 = 7 and x³ + 1/x³ = 27 − 3 × 3 = 18. The ratio is 18/7.

Liquid Paper is a quick-drying, paper-coloured correction fluid painted over typing or printing mistakes; it was invented by Bette Nesmith Graham in 1956.

A gram is a unit used to weigh grain; a pound is a unit of weight.

Any power of a number ending in 1 ends in 1. So both factors end in 1 and their product ends in 1.

Let the first temple be h m high and the river d m wide. Depression to the bottom of the second temple is 60°: d = h/√3. Depression to its top is 30°: h − 36 = d/√3 = h/3. So 2h/3 = 36 and h = 54 m.

Belts and bolts are both inside 'hot', but nothing says they overlap (I fails), and 'all belts are hot' cannot be reversed to 'all hot are belts' (II fails). Neither follows.

Becoming 3 times means the interest is 2P in 5 years. To become 5 times needs interest 4P, which takes 10 years at the same simple interest rate.

Land breeze does blow at night, and land does heat up quickly. But land breeze is caused by land cooling faster than the sea at night, so R, though true, does not explain A.

Kamala's daughters are Roshini and Yamuna, and Shweta's mother is Yamuna's sister, so Shweta's mother is Roshini. Shweta is the daughter of Yamuna's sister, i.e. Yamuna's niece.

Harini is Yamuna's daughter and Shweta is the daughter of Yamuna's sister, so they are first cousins.

Shweta's mother is Yamuna's sister, so she is also Kamala's daughter. Shweta is therefore Kamala's granddaughter.

3 + 5 + 7 = 15 parts = 180°, so 1 part = 12°. The largest angle = 7 × 12° = 84°.

The Golden Rock (Kyaiktiyo Pagoda), a gilded boulder balanced on a cliff edge, is a famous Buddhist pilgrimage site in Mon State, Myanmar.

Five pipes at 20% efficiency together equal 5 × 0.2 = 1 pipe P, so they fill the tank in the same 10 minutes.

FRUIT → ESTJS: alternately −1 and +1 (F→E, R→S, U→T, I→J, T→S). JUICE: J→I, U→V, I→H, C→D, E→D = IVHDD.

With every family using at least one fuel: 120 = 93 + 63 + 45 − 45 − 24 − 27 + x, so 120 = 105 + x and x = 15 families use all three.

Biogas only = 93 − 45 − 27 + 15 = 36.

The three fuels together account for 93 + 63 + 45 − 45 − 24 − 27 + 15 = 120 families, i.e. all of them, so none uses none.

20 = 4 × 5, 30 = 5 × 6, 42 = 6 × 7, 56 = 7 × 8, 72 = 8 × 9, so next is 9 × 10 = 90.

Total = 35 × 21 = 735. First 17 total 17 × 19 = 323 and last 17 total 17 × 22 = 374. The 18th result = 735 − 323 − 374 = 38.

Variance = (standard deviation)² = 5² = 25.

From ONIDA = 57834: O 5, N 7, I 8, D 3, A 4. INDIA = 8 7 3 8 4 = 87384.

By the remainder theorem, put x⁸ = −1: x⁸⁰ = (x⁸)¹⁰ = 1 and x⁴⁰ = (x⁸)⁵ = −1. Remainder = 1 − 1 + 5 = 5.

LCM(12, 20, 32, 44) = 2⁵ × 3 × 5 × 11 = 5280. The next multiple, 10560, has 5 digits, so 5280 is the greatest 4-digit number divisible by all four.

Smog (smoke + fog) is fog polluted by smoke and other pollutants, as in the London smog of 1952.

World Heritage Day (International Day for Monuments and Sites) is observed on 18 April each year.

Supplementary angles add to 180°: 6y + 70 + 3y + 47 = 180, so 9y = 63 and y = 7.

The APGAR score, devised by Dr. Virginia Apgar, rates a newborn's Appearance, Pulse, Grimace, Activity and Respiration at 1 and 5 minutes after birth.

Crude oil (petroleum) is called 'black gold' because of its dark colour and great economic value.

Multiply by 100: 143 = 11 × 13, 187 = 11 × 17 and 2090 = 11 × 190, so their HCF is 11. Dividing back by 100, the HCF of 1.43, 1.87 and 20.9 is 0.11.

Cost of 9 kg = 1 × 40 + 3 × 50 + 5 × 60 = Rs 490, i.e. 490/9 ≈ Rs 54.44 per kg. Selling at Rs 59.88 gives a profit of 5.44 on 54.44 ≈ 10%.

Sum of 6 observations = 72; sum of 8 = 8 × 13 = 104. The two new observations total 32, so their mean is 16.

Jupiter, the largest planet, is named after the king of the Roman gods (Zeus in Greek mythology).

Jawaharlal Nehru hoisted the national flag at the Red Fort 17 times (1947–1963), the most by any Prime Minister; Indira Gandhi is second with 16.

Martina Hingis and Sania Mirza won the 2016 Australian Open women's doubles, their third consecutive Grand Slam title together.

PIGSRN = SPRING, INWETR = WINTER and MEUSRM = SUMMER are seasons. LUCOD = CLOUD is not, so it is the odd one.

In a free market, prices are set by supply and demand with little government control.

Work = 54 × 35 = 1890 member-hours. 18 members take 1890/18 = 105 hours.

In 1905 Lokmanya Tilak, with Jamsetji Tata's son Ratanji, set up the Bombay Swadeshi Co-operative Stores Co. Ltd. to sell Indian-made goods during the Swadeshi movement.

India is a democracy and it has its own Constitution. But having a constitution does not by itself make a country democratic, so R does not properly explain A.

In 2016 the director of the Bhabha Atomic Research Centre was K. N. Vyas (from 2016), who succeeded Dr. Sekhar Basu.

N U P C H A rearranges to PAUNCH, whose last letter is H.

W is equidistant from X and Y, so it lies on the perpendicular bisector of XY through Z. Hence XZ = ZY, ∠XZW = 90° and triangles XZW and YZW are congruent (so similar). ∠XZW > 90° is incorrect.

In the same time one bus covers 220 km and the other 300 − 220 = 80 km, so their speeds are in the ratio 220 : 80 = 11 : 4.

0.0043 ÷ ? = 0.43 gives ? = 0.0043/0.43 = 0.01.

MTQRD → NURSE adds 1 to each letter. BZRD → C A S E = CASE.

Vinegar is a dilute solution (about 4–8%) of acetic acid in water.

Hydropower converts the kinetic energy of falling or flowing water (via turbines) into electrical energy.

From POET = 1947: P 1, O 9, E 4, T 7. From YOUR = 8923: Y 8, R 3. POETRY = 1 9 4 7 3 8 = 194738.

Dipa Karmakar is an Indian gymnast; in 2016 she became the first Indian woman gymnast to qualify for the Olympics, finishing fourth in the vault at Rio.

The Rock Garden of Chandigarh was created by Nek Chand, a road inspector, from industrial and urban waste.

Haemoglobin, the oxygen-carrying protein in red blood cells, is a red pigment, and that is why blood is red. Both are true and R explains A.

PqsT → SrpO: the first letter moves +3 (P→S), the second +1 (q→r), the third −3 (s→p) and the last −5 (T→O), keeping the case pattern. BceF → B+3 = E, c+1 = d, e−3 = b, F−5 = A = EdbA.

Camels grunt (and also moan or bellow). Wolves howl, sheep bleat and monkeys gibber.

The Parkes Observatory, with its 64 m radio telescope ('The Dish') that relayed the Apollo 11 TV pictures, is in New South Wales, Australia.

The pufferfish contains tetrodotoxin, a nerve poison far deadlier than cyanide; it is considered the most poisonous fish (eaten as fugu in Japan).

The difference of 3 parts (10 − 7) = Rs 3000, so 1 part = Rs 1000 and the LG mobile costs 7 × 1000 = Rs 7000 (the Samsung costs Rs 10,000).

361 = 19². Likewise 169 = 13². (15² = 225, 9² = 81, 12² = 144.)

Mamnoon Hussain was President of Pakistan from September 2013 to September 2018.

Profit on 48 soaps = SP of 12 soaps, so CP of 48 = SP of 36. Profit = 12 on CP 36 = 33.33%.

Replacing the letters: 10 × 2 + 5 − 5 = 20.

A barometer measures atmospheric pressure. A lactometer tests milk, a thermometer measures temperature and a multimeter measures electrical quantities.

7342015 × 9999 = 7342015 × 10000 − 7342015 = 73420150000 − 7342015 = 73412807985.

By 10 am the first train has covered 30 km, leaving 270 km. They then close at 30 + 20 = 50 km/h, taking 270/50 = 5.4 h = 5 h 24 min. They meet at 3:24 pm.

Decode C: 9 + 9 ÷ 9 − 9 × 9 = 9 + 1 − 81 = −71, which is true. The other relations do not hold when decoded.

Diamond (heera) is a crystalline allotrope of carbon and the hardest natural substance.

Levi Strauss, with tailor Jacob Davis, patented riveted denim jeans in 1873 and marketed them through Levi Strauss & Co.

PDF stands for Portable Document Format, developed by Adobe in 1993.

Pandit Jasraj (1930–2020) of the Mewati gharana was a celebrated Hindustani classical vocalist.

Zohra Sehgal (1912–2014), the actress and dancer who worked for over seven decades, was called the 'grand old lady of Bollywood'.

Vertical job restructuring moves an employee upward to higher responsibility, as with job promotion (or job enrichment); job rotation is horizontal. The official key marks promotion.

x% of 40 = 1.2 gives x = 1.2 × 100/40 = 3.