RRB NTPC CBT 1 2020: उत्तर सहित प्रश्न

Vijaya Bank and Dena Bank were merged into Bank of Baroda with effect from 1 April 2019, making it India's third-largest bank at the time.

The first bus goes 35 km along the main road, turns right 17 km, turns left and runs 42 km parallel to the main road, then comes back 17 km to the main road. It has advanced 35 + 42 = 77 km along the road. The second bus has run 36 km, so the gap is 185 − 77 − 36 = 72 km.

Pattachitra – cloth-based scroll painting with mythological themes, especially of Lord Jagannath – is a traditional art of Odisha (centred on Raghurajpur near Puri).

The Seven Sisters are Arunachal Pradesh, Assam, Manipur, Meghalaya, Mizoram, Nagaland and Tripura. Sikkim is a North-Eastern state but not one of the Seven Sisters.

The International Court of Justice, the UN's principal judicial organ, sits in the Peace Palace at The Hague, Netherlands.

In each pair the second number is 8 times the first: 12 × 8 = 96, 13 × 8 = 104, 15 × 8 = 120. But 16 × 8 = 128, not 118.

Facing south he walks 5 km, turns right (now facing west) and walks 5 km, then turns 45° left (now facing south-west) and walks 3 km. He ends up to the south and west of his starting point – in the south-west direction.

Sukanya Samriddhi Yojana (2015), under Beti Bachao Beti Padhao, is a small-savings deposit scheme opened in the name of a girl child, with a high interest rate and tax benefits.

Chalk, pen and marker are used to write; a book is what is written in or read, so it is the odd one.

First letters go B, D, F, H, J (+2); middle letters Z, Y, X, W, V (−1); last letters A, C, E, G, I (+2). The next cluster is JVI.

'Swaraj is my birthright and I shall have it' was the slogan of Bal Gangadhar Tilak, called 'Lokmanya'.

He spends 1/3 + 2/6 = 2/3 of his salary, so he saves 1/3 of Rs 45,000 = Rs 15,000.

The third Khelo India Youth Games were held in Guwahati, Assam, in January 2020.

Ubuntu is a free, open-source operating system based on Linux (Debian), developed by Canonical.

The Gobi Desert lies in Asia, across northern China and southern Mongolia.

The CPU (Central Processing Unit) carries out instructions and controls the other parts, so it is called the brain of the computer.

The income is shared in the ratio of (days × daily wage): Shweta 20 × 5 = 100, Harish 30 × 6 = 180. Shweta's share = 100/280 × 28,000 = Rs 10,000.

sin²65° + cos²65° = 1, so the first term is 1. sin 15° = cos 75° and cos 65° = sin 25°, so the other terms are 1 each. Total = 3 = √3 tan θ, so tan θ = √3 and θ = 60°.

The Sabarimala Ayyappa temple is in the Periyar Tiger Reserve, Pathanamthitta district, Kerala.

Zoji La (about 3,528 m) on NH-1 connects Srinagar (Kashmir valley) with Leh in Ladakh.

Kudankulam Nuclear Power Plant, built with Russian collaboration, is in Tirunelveli district, Tamil Nadu – India's largest nuclear power station.

Place Seema at seat 0; Medha is on her left (seat 7) and Radha opposite Medha (seat 3). Raman is next to Seema (seat 1) and Govind opposite him (seat 5). Govind is on Chandra's right, so Chandra is at seat 4. Shanti and Shashi take seats 2 and 6. The person opposite Chandra (seat 4) is Seema (seat 0).

Coal India Limited is a Maharatna CPSE. Central Coalfields is its subsidiary, Cochin Shipyard is a Mini Ratna and ITDC is not a Ratna company.

The mole is the SI unit of amount of substance. Tesla measures magnetic field, joule energy and lux illuminance.

Multiply only the unit digits: 4 × 8 = 32 → 2; 2 × 4 = 8; 8 × 6 = 48 → 8. The unit digit is 8.

Let ladies = 3k and gents = 2k. Then (3k + 300) : 2k = 5 : 2, so 6k + 600 = 10k and k = 150. Ladies now = 450 + 300 = 750.

India's first semi-high-speed train, the Vande Bharat Express (Train 18), was flagged off in February 2019 between New Delhi and Varanasi.

6/5 of (1/3 + 1/2) = 6/5 × 5/6 = 1. 5/6 of (3/10 + 3/5) = 5/6 × 9/10 = 3/4. Value = 1 − 3/4 − 1/6 = 12/12 − 9/12 − 2/12 = 1/12.

The numbers are 3k and 7k with LCM 21k = 231, so k = 11. The smaller number is 33.

The Second Battle of Panipat (5 November 1556) was fought between Akbar's army under Bairam Khan and Hemu; Akbar won.

The Prarthana Samaj was founded in Bombay in 1867 by Dr. Atmaram Pandurang, with M.G. Ranade later its leading figure.

Let MP = 100. CP = 75 and SP = 85 (15% discount). Profit = 10 on 75 = 13.33%.

Rajatarangini, a Sanskrit chronicle of the kings of Kashmir, was written by Kalhana in the 12th century.

Rate = SI × 100/(P × T) = 2680 × 100/(13400 × 4) = 5%.

A lawyer works in a court; a beautician works in a parlour.

Sound is a mechanical wave and needs a medium of particles; it cannot travel through a vacuum. It travels through solids, liquids and gases.

Gujarat has India's longest mainland coastline, about 1,600 km.

Article 81 limits the Lok Sabha to 550 elected members (530 from states and 20 from Union Territories). The two Anglo-Indian nominated seats were abolished in 2020, so 550 is the maximum.

Chicken pox is caused by the varicella-zoster virus. Cholera, typhoid and tuberculosis are bacterial diseases.

Adjacent angles of a rhombus add up to 180°. In the ratio 3 : 6 they are 60° and 120°, so the smallest is 60°.

Total marks = 350, so 175 are needed. The first paper gives 40% of 200 = 80, so 95 are needed out of 150 = 63.3%. The minimum option that suffices is 64%.

A writer works with a pen; a tailor works with a needle.

In each column the bottom number = middle number × (bottom number + 1)²: 6 × 8² = 384 and 5 × 7² = 245. For the third column: 4 × 6² = 144.

Sericulture is the rearing of silkworms to produce silk.

The theme of World Environment Day 2020, hosted by Colombia with Germany, was biodiversity ('Time for Nature').

Pinaka is a multi-barrel rocket launcher developed by DRDO. Dhanush is an artillery gun, Prithvi a ballistic missile and Trishul a short-range missile.

The Buland Darwaza is at Fatehpur Sikri near Agra, Uttar Pradesh. Humayun's Tomb, India Gate and Alai Darwaza are in Delhi.

LAUGHTER has the letters L, A, U, G, H, T, E, R. GATE, HATE and RATE can be formed, but GRUNT needs an N, which is not there.

Dandi, where Gandhi broke the salt law on 6 April 1930, is in Navsari district, Gujarat.

URL stands for Uniform Resource Locator – the address of a resource on the internet.

RAMO → SCPS adds 1, 2, 3, 4 to the letters (R+1 = S, A+2 = C, M+3 = P, O+4 = S). For VXMJ: V+1 = W, X+2 = Z, M+3 = P, J+4 = N, giving WZPN.

a² − b² = (a − b)(a + b) = 25 with a + b = 5, so a − b = 5. Then a³ − b³ = (a − b)(a² + ab + b²) = 625 gives a² + ab + b² = 625/5 = 125.

Neelam Sanjiva Reddy became President in 1977 at 64, the youngest person to hold the office.

Product of the numbers = HCF × LCM = 12 × 72 = 864. Sum of reciprocals = (a + b)/ab = 60/864 = 5/72.

Subtract the remainders: 155 − 5 = 150, 260 − 10 = 250, 315 − 15 = 300. HCF(150, 250, 300) = 50.

2³ + 3² + 1 = 8 + 9 + 1 = 18, so 180 ÷ 18 = 10. Then 10 + 37 − 20 = 27.

2x + (3x − 8) + (5x − 12) = 180, so 10x = 200 and x = 20. The angles are 40°, 52° and 88°; the greatest is 88°.

SI for 2 years at 10% is 500, so P = Rs 2500. CI = 2500 × (1.1² − 1) = 2500 × 0.21 = Rs 525.

10000 = 7 × 1428 + 4, so 10000 leaves remainder 4. Adding 2 gives remainder 6: the number is 10002.

Malayalam poet Akkitham Achuthan Namboothiri received the 55th Jnanpith Award for 2019.

The Environment (Protection) Act was passed in 1986, after the Bhopal gas tragedy.

The permanent members of the UN Security Council are China, France, Russia, the UK and the USA. Japan is not a permanent member.

Adding the pair rates: 2(X + Y + Z) = 1/12 + 1/18 + 1/15 = 37/180, so X + Y + Z = 37/360 per day. Time = 360/37 ≈ 9.7, about 10 days.

Paediatrics deals with children; neurology deals with the brain and nervous system.

The arithmetic mean uses every observation and is the most widely used measure of central tendency. Range is a measure of dispersion, not an average.

A lichen is a symbiotic association of an alga (or cyanobacterium) and a fungus: the alga makes food and the fungus gives shelter and water.

BIMSTEC's members are Bangladesh, Bhutan, India, Myanmar, Nepal, Sri Lanka and Thailand. Maldives is not a member.

√(54 × 125)/√(24 × 45) = √(6750/1080) = √6.25 = 2.5.

sec 76° = 1/cos 76° = 1/sin 14°, so the first term is 5. cot 75° = tan 15°, so cot 15° cot 75° = 1 and the second term is 3. 2 tan 45° = 2. Total = 10.

Paraguay and Bolivia are the only landlocked countries of South America.

Attended: 40% of 50 = 20 girls and 50% of 70 = 35 boys, i.e. 55 of 120 = 45.8%, about 46%.

Without the special characters the row is 3 X B 9 F 4 5 1 K 2 8 R S Z. Counting 10 places to the right of X: B, 9, F, 4, 5, 1, K, 2, 8, R. The 10th is R.

Guru Gobind Singh, the tenth Sikh Guru, founded the Khalsa Panth at Anandpur Sahib on Baisakhi in 1699.

Curved surface area 2πrh = 528 with h = 14 gives r = 528/(2 × 22/7 × 14) = 6 cm. Volume = πr²h = 22/7 × 36 × 14 = 1584 cm³.

First part = 1/5; second part = 3/2 × 1/5 = 3/10. Together = 2/10 + 3/10 = 1/2, so the third part is 1/2 of the rope.

5 2/3 = 5.667. Then 5.667 + 0.73 − 3.123 ≈ 3.27.

In the first half hour train A covers 25 km, leaving 700 km. Closing at 50 + 150 = 200 km/h, they meet 3.5 hours later. Train A has then travelled 25 + 50 × 3.5 = 200 km from A.

Mass is the amount of matter and does not change from place to place – it is 60 kg on the Moon too. Only weight changes (about 1/6 on the Moon).

From the first equation 2/y = (2 − x)/2, so y = 4/(2 − x). Then 2/z = 1 − y/2 = −x/(2 − x), so z/2 = −(2 − x)/x. Hence z/2 + 2/x = (x − 2 + 2)/x = 1.

The ICAR-Central Potato Research Institute, set up in 1949, has its headquarters in Shimla, Himachal Pradesh.

ISRO launched the Mars Orbiter Mission (Mangalyaan) on PSLV-C25 on 5 November 2013; it reached Mars orbit in September 2014.

18% of 5400 = 972 and 12% of 2400 = 288. The amount to add = 972 − 288 = 684.

With length 2b, perimeter = 2(2b + b) = 6b = 48, so b = 8 and l = 16. Area = 128 cm².

Filling a, c, b, c, b gives c a b b a c | c a b b a c | c a b b a c – the block 'cabbac' repeated three times.

tan θ = 3/4 and cot θ = 4/3. (1 + 3/4)/(1 − 4/3) = (7/4)/(−1/3) = −21/4.

21 → (21 + 1)/2 = 11. So 31 → (31 + 1)/2 = 16.

In each column the top number = (bottom)² − middle: 6² − 8 = 28 and 9² − 18 = 63. So 13² − ? = 94 gives ? = 169 − 94 = 75.

P, Q and R are siblings and T is P's father, so T is also Q's father. 'T is Q's husband' can never be true.

DAUGHTER has D, A, U, G, H, T, E, R. HURT, GET and DATE can be made, but TOUGH needs an O, which is not there.

Blue touches Yellow, Orange, Purple and Black, so Blue is opposite Pink. Yellow touches Orange, Blue, Black and Pink, so Yellow is opposite Purple. The remaining pair, Black and Orange, are opposite.

Aastha is at the left end with Shyam next to her; Manjeet is in the middle. Sunil is next to Manjeet but not to Shyam, so Sunil is 4th and Amita 5th. Sunil's neighbours are Manjeet and Amita.

Each term is the product of the digits of the previous term plus 1: 6 × 9 + 1 = 55, 5 × 5 + 1 = 26, 2 × 6 + 1 = 13, 1 × 3 + 1 = 4.

From west to east: Meena, Beena, Leena, Reena, Teena. Second from the east end is Reena.

Two series alternate: 97, 101, 107, … (+4, +6, +8 → 115) and 86, 89, … (+3, +5 → 94). The next two terms are 94 and 115.

Some reds are colours and all colours are paints, so some reds are paints – I follows. 'All roses are red' does not mean all reds are roses, so II does not follow.

IKJL, EGFH and ACBD follow +2, −1, +2 (e.g. A→C→B→D). MNPO follows +1, +2, −1, so it is different.

In 'gift : gift wrap', 'head : cap' and 'hand : glove' the second item covers the first. A note is written on paper, not a covering, so 'Paper : note' is different.

Each of the three outer fans has five rays from a corner, giving C(5, 2) = 10 triangles each – 30 in all. Adding the inner triangle and the big outer triangle gives 32.

Each term is n² + 1: 2² + 1 = 5, 3² + 1 = 10, 4² + 1 = 17, 5² + 1 = 26, 6² + 1 = 37.

After swapping, Mohan is in Deepti's old place, which is 21st from the right; it was 14th from the left, so the row has 14 + 21 − 1 = 34 people. Deepti is now in Mohan's old place, 9th from the right, i.e. 34 − 9 + 1 = 26th from the left.