RRB NTPC CBT 1 2020: উত্তরসহ প্রশ্ন

Jim Corbett National Park in Uttarakhand was the first area brought under Project Tiger (1973) and is a tiger reserve. Gir is known for Asiatic lions.

Using cos A cos(60° − A) cos(60° + A) = ¼ cos 3A with A = 20°: cos 20° cos 40° cos 80° = ¼ cos 60° = 1/8.

Areas of similar figures are in the ratio of the squares of their sides. 16 times the area means 4 times the side: 4 × 28 = 112 cm.

The dargah of Khwaja Moinuddin Chishti, founder of the Chishti order in India, is at Ajmer, Rajasthan.

Safari, Opera and Mozilla Firefox are web browsers. Google is a company and search engine; its browser is Chrome.

x³ + y³ = (x + y)³ − 3xy(x + y): 35 = 125 − 15xy, so xy = 6. x² + y² = 25 − 12 = 13. x⁴ + y⁴ = 13² − 2 × 36 = 169 − 72 = 97.

Let x be at 10%. Interest = 0.05 × 5 × (5000 − x) + 0.10 × 5 × x = 1250 + 0.25x = 1750, so x = Rs 2,000.

When the British deposed Nawab Wajid Ali Shah of Awadh in 1856 and exiled him to Calcutta, the people said 'the life has gone out of the body' – one cause of the 1857 revolt there.

GST is an indirect tax: it is levied on the supply of goods and services and passed on to the consumer in the price.

Empirically, mode = 3 median − 2 mean. With mean 4k and median 5k, mode = 15k − 8k = 7k, so mean : mode = 4 : 7.

Total released = 30 + 35 + 35 + 42 + 48 = 190; rated below 5 = 6 + 9 + 11 + 12 + 12 = 50. Rated 5 and above = 140, and 140/190 ≈ 73.7%, about 74%.

Multiples of 12 between 100 and 200: 108, 120, …, 192 – 8 terms. Sum = 8 × (108 + 192)/2 = 1200.

Each group starts with A and steps by 1, 2, 3, 4 letters: ABCD, ACEG, ADGJ, AEIM.

Karate 25% + cooking 8% + creative writing 14% = 47% of 3500 = 1645.

Saansad Adarsh Gram Yojana (2014), in which MPs develop model villages, was launched on Jayaprakash Narayan's birth anniversary and inspired by Mahatma Gandhi's vision of village swaraj.

HTTP stands for HyperText Transfer Protocol, used to transfer web pages.

'In Memoriam' (1858), showing British women and children awaiting their fate during the 1857 revolt, was painted by Sir Joseph Noel Paton.

7.2 ÷ 8 = 0.9 and 3 × 2.3 = 6.9. So 24 + 0.9 − 6.9 + 5 = 23.

Rana got 40% and Ranvir 60%. The 20% difference is 60,000 votes, so the total is 3,00,000 and Ranvir got 60% = 1,80,000.

Area = 3675/12.5 = 294 m² = 2k × 3k = 6k², so k² = 49 and k = 7. Length = 3k = 21 m.

CP of 8 = SP of 5, so SP/CP = 8/5 = 1.6 – a 60% gain.

√46.24 = 6.8, √0.4624 = 0.68 and √0.004624 = 0.068. Sum = 7.548.

The Wrestling Federation of India recommended Vinesh Phogat for the 2020 Rajiv Gandhi Khel Ratna, which she received.

Kangchenjunga (8,586 m) on the Sikkim–Nepal border is the highest peak in India. Mount Everest is in Nepal.

The Deccan Queen between Mumbai and Pune, introduced in 1930, is regarded as India's first superfast (deluxe) train.

The first train is 80 km ahead after 1 hour. The second gains 100 − 80 = 20 km/h, so it catches up in 80/20 = 4 hours.

The Ruhr region, rich in coal and steel, is Germany's most important industrial region.

Ernest Mackay, who excavated at Mohenjo-daro in the 1920s–30s, published his report as 'Further Excavations at Mohenjo-daro' (1938).

63 − 39 = 24, so 7 × 24 = 168 and 25 ÷ 5 = 5. 186 − 168 + 5 = 23.

Constitution Day (Samvidhan Divas) is celebrated on 26 November, the day the Constituent Assembly adopted the Constitution in 1949.

Too much curvature (or an elongated eyeball) makes the eye lens too powerful, so distant objects focus in front of the retina – myopia (short-sightedness).

p$q#r means p is the wife of q, and q is the father of r. So r is the child of p (and q).

Multiplying by 1 lowers the total: 1 × 2 + 3 + 4 + 5 = 14, less than 1 + 2 + 3 + 4 + 5 = 15. Any other × increases the value, so the minimum is 14.

Bile is produced by the liver and stored and concentrated in the gall bladder.

First letters go K, M, O, Q, S; the middle pairs AB, CD, EF, GH, IJ; last letters L, N, P, R, T. Next: SIJT.

In 10 minutes the water travels 5000 × 10/60 = 2500/3 m. Volume = 2 × 21 × 2500/3 = 35,000 m³ = 35,000 kilolitres.

The Earth revolves around the Sun; the Moon revolves around the Earth.

All chocolates are candies and all candies are toffees, so all chocolates are toffees (1 follows). The reverse, all toffees are chocolates, does not follow.

The ideals of liberty, equality and fraternity in the Preamble were borrowed from the French Constitution (French Revolution).

Dr. Tamilisai Soundararajan was appointed Governor of Telangana in September 2019.

Thumba, near Thiruvananthapuram, lies very close to the magnetic equator, ideal for studying the equatorial electrojet in the upper atmosphere.

In April 2019 Malawi became the first country to start immunising children with the RTS,S malaria vaccine; Ghana and Kenya followed.

In 34-3, 54-5 and 24-2 the first number ends in 4 and the second number is its tens digit. 66-6 does not end in 4, so it is different.

Denmark is known as the land of cooperatives, with highly successful cooperative dairy farming since the 19th century.

62 ÷ 5 = 12.4. 8/9 × 18/7 × 7/5 = 16/5 = 3.2. 5/4 × 16/25 = 0.8. Value = 12.4 − 3.2 + 0.8 = 10.

3² + 6² + … + 42² = 3²(1² + 2² + … + 14²) = 9 × 1015 = 9135.

Chandrayaan-2 was launched on 22 July 2019 by GSLV Mk III-M1 from Sriharikota.

A is prime and F = A + 2 must also be below 50, so A = 41 or 47; A = 41 leaves no room for E, so A = 47 and F = 49. E < 49 with C = E − 5, and D odd with G = D + 3: the only fit is E = 46, C = 41, D = 45, G = 48, B = 42. Costlier than E (46): A, F and G – so G.

The Indian National Congress was founded in 1885 by A.O. Hume, a retired British civil servant; W.C. Bonnerjee presided over the first session.

Wrong total = 150 × 45 = 6750. Correct total = 6750 − (83 + 76) + (38 + 46) = 6675. Mean = 6675/150 = 44.5.

One year's growth: 13310/12100 = 1.1, so the rate is 10% per annum.

Mahesh is the father of Ram and Shyam. Jagat and Priya are Shyam's children, so Mahesh is Jagat's grandfather.

Passed in at least one subject = 55 + 35 − 20 = 70%, so 30% failed both. 30% = 1200, so 4000 candidates took the exam.

Norway topped the UNDP Human Development Index in the 2019 report.

PARAM 8000, built by C-DAC under Vijay Bhatkar in 1991, was India's first supercomputer.

The Buddhist Monuments at Sanchi, Madhya Pradesh, became a UNESCO World Heritage Site in 1989.

António Guterres of Portugal has been UN Secretary-General since January 2017.

Lord Ripon's resolution of 1882 laid the foundation of elected local self-government; he is called the father of local self-government in India.

B is the female teacher married to the engineer; C is the unmarried lawyer; D is the female accountant. A and E are the engineer and the doctor. 'D is a male', 'E is a teacher' and 'B is a doctor' are impossible, but 'A is an engineer' could be true.

Robert Hooke discovered and named the cell in 1665 while looking at cork under his microscope.

Feline means of the cat family; canine means of the dog family.

In August 2020 Soma Mondal was selected as Chairman of SAIL, its first woman chairperson.

Collections are in the ratio (fare × passengers) = 5 × 3 : 8 × 4 : 12 × 5 = 15 : 32 : 60. Air = 60/107 × 1,07,000 = Rs 60,000.

ATL stands for Atal Tinkering Labs, set up in schools under the Atal Innovation Mission (NITI Aayog).

√150 = 5√6, √54 = 3√6, √24 = 2√6. 5√6 − 3√6 − 2√6 = 0.

Melancholy–gloomy, dynamic–robust and lethargic–laid back are near-synonyms. Negligent and attentive are opposites, so that pair is different.

After Emperor Akihito abdicated on 30 April 2019, Emperor Naruhito's era 'Reiwa' began on 1 May 2019.

Let the horizontal distance be d and the angle θ. Depression to the foot: tan θ = 25/d. Elevation to the top: tan θ = (h − 25)/d. So h − 25 = 25 and h = 50 m.

Footloose industries are not tied to a raw material location – e.g. computer chips. Jute, sugar and tea depend on raw materials.

If the work takes n days, A works n − 11, B n − 8 and C n days: (n − 11)/40 + (n − 8)/60 + n/80 = 1. Multiplying by 240: 6n − 66 + 4n − 32 + 3n = 240, so 13n = 338 and n = 26.

AB+ blood has both A and B antigens and the Rh factor and no anti-A or anti-B antibodies, so it can receive any ABO type – the universal recipient.

Lime water is a solution of calcium hydroxide, Ca(OH)₂, which turns milky with carbon dioxide.

Rows × students per row = n² = 6889, so n = √6889 = 83.

Adding the four group rates counts each person three times: 3(A + B + C + D) = 1/5 + 1/10 + 1/15 + 1/30 = 12/30. So A + B + C + D = 2/15 per day: 7½ days.

(2x + 5y)³ = 8x³ + 125y³ + 3 × 2x × 5y × (2x + 5y). So 1728 = 8x³ + 125y³ + 30 × 2 × 12, giving 8x³ + 125y³ = 1728 − 720 = 1008.

LCM + HCF = 369 and LCM − HCF = 351, so LCM = 360 and HCF = 9. Other number = 360 × 9/72 = 45.

Area of BXY = ½ × (s/2) × (s/3) = s²/12 = 300, so s² = 3600 and s = 60 cm. Diagonal = 60√2 cm.

The greatest 3-digit multiple of 24 is 984 and the smallest 4-digit multiple is 1008. Sum = 1992.

Kamala Das (Kamala Surayya) wrote in Malayalam under the pen name Madhavikutty.

Bella > Umesh > Shubham > Rahul > Salman. Salman is the shortest.

'Green Good Deeds', launched by Environment Minister Harsh Vardhan in 2018, encourages small everyday actions to protect the environment.

A/D = (A/B)(B/C)(C/D) = 15/16 × 8/25 × 20/9 = 2400/3600 = 2/3, so A : D = 2 : 3.

Pradhan Mantri Kaushal Vikas Yojana (2015) is the flagship skill development scheme of the Ministry of Skill Development and Entrepreneurship.

At the 1906 Calcutta session, presided over by Dadabhai Naoroji, the Congress first declared Swaraj as its goal.

World Environment Day 2018, hosted by India, had the theme 'Beat Plastic Pollution'.

Two 'some' statements linked through plants give no definite relation between dolls and books, and 'No book is a plant' contradicts statement 2. Neither follows.

Decoding: 25 − 48 ÷ 6 + 12 × 2 = 25 − 8 + 24 = 41.

The terms fall by 16 each time: 48, 32, 16, 0.

'If she hears, she orders' is consistent with: she did not order a cake, so she did not hear of a birthday (D then B). A followed by B, or C followed by A, are not valid inferences.

The terms are 3¹, 4², 5³, so the next is 6⁴ = 1296.

Statement 2 identifies February (29 days only in a leap year) and statement 1 gives the 7th. Together they fix the date as 7 February; neither alone does.

Spinners took 6 of 9 wickets, which tells nothing about the share of spinners among bowlers or who opened the bowling. Neither conclusion follows.

In A, shops lie within showrooms and no showroom is a mall, so no shop is a mall – the conclusion follows. B's conclusion contradicts its premise, and in C two negative premises give no conclusion. Only A.

A says 13 or 14 March; B says 14, 15 or 16 March. The only common date is 14 March.

2015–2018: (35 + 35 + 42 + 48)/4 = 160/4 = 40.

Foreword, index and preface are parts of a book; an edition is a version of the whole book, so it is different.

From the sentences: and = la, there = na, up = fa (common to 'get up and go' and 'jump up and dance'), jump = lu, go = ka and get = ju. So 'get up go there' = ju fa ka na (in some order) – option 4.

Each group is the first four multiples of a number: of 2, of 3, of 4, so next of 5: 5-10-15-20.

Total CP = 1450. X's total SP = 1500 (profit 50, 3.45%); Y's = 1492 (profit 42, 2.90%). Shopkeeper X made more – 3.45%.