RRB NTPC CBT 1 2020: উত্তরসহ প্রশ্ন

Replacing the signs: 13 − 6 × 2 + 32 ÷ 2. By BODMAS: 6 × 2 = 12 and 32 ÷ 2 = 16, so 13 − 12 + 16 = 17.

As of November 2020 India had 25 High Courts; the newest was the High Court of Andhra Pradesh (Amaravati), set up on 1 January 2019.

Lemon juice is strongly acidic because of citric acid, with a pH of about 2.

The 9.02 km Atal Tunnel under the Rohtang Pass, opened in October 2020, is the world's longest highway tunnel above 10,000 feet and India's longest highway tunnel among the options. It links Manali with the Lahaul–Spiti valley.

At a 10% loss, 0.9 × CP = 360, so CP = Rs 400. For a 30% gain, SP = 1.3 × 400 = Rs 520.

UNESCO (United Nations Educational, Scientific and Cultural Organization) has its headquarters in Paris, France.

In order: 12, 15, 16, 26, 36, 42. With 6 values the median is the mean of the 3rd and 4th: (16 + 26)/2 = 21.

Under Article 118(4) the Speaker of the Lok Sabha presides over a joint sitting of the two Houses (in the Speaker's absence, the Deputy Speaker or the Deputy Chairman of the Rajya Sabha).

Pipes A and C together fill 1/15 + 1/18 = 6/90 + 5/90 = 11/90 of the tank per hour, so they take 90/11 = 8 2/11 hours.

Beriberi is caused by a deficiency of vitamin B1 (thiamine). It affects the nerves and the heart.

The Tapti (Tapi), like the Narmada, flows west through a rift valley into the Arabian Sea. The Godavari, Krishna and Mahanadi flow east into the Bay of Bengal.

Production rose 100 → 200 (+100), 200 → 400 (+200), 400 → 500 (+100) and 500 → 600 (+100). The largest absolute increase, 200 tonnes, was in 1982–83.

Marchantia (a liverwort) is a bryophyte. Marsilea is a pteridophyte (fern), Deodar a gymnosperm and Cladophora an alga.

The Bharat Ratna announced in 2019 went to Pranab Mukherjee, Nanaji Deshmukh (posthumous) and Bhupen Hazarika (posthumous). Atal Bihari Vajpayee received it in 2015.

Some women are lawyers and all lawyers are intelligent, so those women are intelligent – Conclusion I follows. Nothing says all intelligent people are women, so II does not follow.

Acid and alcohol make up 1/5 + 3/5 = 4/5 of the mixture, so water is 1/5 of it. 1/5 of 20 litres = 4 litres.

BrahMos, developed jointly by India's DRDO and Russia's NPO Mashinostroyeniya, is a supersonic cruise missile flying at about Mach 2.8.

Evaporation removes only water, so the salt stays the same. After evaporation 8 litres contain 6% salt = 0.48 litre. In the original 10 litres that is 0.48/10 = 4.8%.

In myopia (short-sightedness) images of distant objects form in front of the retina. A diverging (concave) lens spreads the rays so they focus on the retina.

The Cabinet Mission – Pethick-Lawrence, Stafford Cripps and A.V. Alexander – came to India in March 1946 to plan the transfer of power.

The Cauvery water dispute is mainly between Karnataka and Tamil Nadu (with Kerala and Puducherry also sharing). The Supreme Court gave its final verdict in 2018.

Resistances in series add, and connecting all four in series gives the maximum: 4 × 1/4 = 1 (ohm).

5.23 + 4.77 = 10 and 3/5 − 2/10 = 2/5. So 200 ÷ 10 × 2/5 + 3 = 20 × 0.4 + 3 = 8 + 3 = 11.

Jim Corbett National Park, India's oldest national park (1936, first named Hailey National Park), is in Nainital district, Uttarakhand.

C is at an end with B next to it, and B is on D's left, so the row starts C, B, D. A and E fill places 4 and 5 with E to the right of A: C, B, D, A, E. D is in the middle.

The diagonals and the centre line make 5 small triangles (top, left, bottom and two on the right). Joining the two right-hand pieces gives 1 more, and each half of the rectangle cut by a diagonal gives 4 more (2 per diagonal). Total = 5 + 1 + 4 = 10.

A number divisible by 5, 6 and 7 is a multiple of LCM = 210. Between 250 and 1000 these are 420, 630 and 840 – 3 numbers.

GST stands for Goods and Services Tax, the indirect tax introduced on 1 July 2017 that replaced many central and state taxes.

After a 22½% decrease, 77.5% of the number is 217, so the number = 217/0.775 = 280.

Radius = 14 m. Volume = πr²h = 22/7 × 196 × h = 616h = 6160, so h = 10 m.

The CSIR-Central Drug Research Institute (CDRI), set up in 1951, is in Lucknow, Uttar Pradesh.

Take S = 2: Q = 2.5 × 2 = 5, P = 3 × 5 = 15 and R = 2/2 = 1. R is the lightest.

√(72 × 18) = √1296 = 36, √0.04 = 0.2 and √0.64 = 0.8. Sum = 36 + 0.2 + 0.8 = 37.

Intel Core i9 is a family of high-end Intel desktop and laptop processors (CPUs).

l² + b² = 25² = 625 and lb = 300. (l + b)² = 625 + 600 = 1225, so l + b = 35 and the perimeter = 2 × 35 = 70 cm.

x⁴ − 1/x⁴ = (x² − 1/x²)(x² + 1/x²). With x + 1/x = 12, x² + 1/x² = 144 − 2 = 142. Using the given x² − 1/x² = 50, the value = 50 × 142 = 7100.

Python is a high-level, general-purpose programming language created by Guido van Rossum.

The Humayun-Nama, an account of Emperor Humayun's life, was written by his half-sister Gulbadan Begum at Akbar's request.

Brazil, covering about half of the continent, is the largest country in South America.

ASCII stands for American Standard Code for Information Interchange, a 7-bit code that gives each character a number from 0 to 127.

Samagra Shiksha (2018) merged Sarva Shiksha Abhiyan, RMSA and teacher education into one scheme covering school education from pre-school (pre-nursery) to class XII.

Mahatma Gandhi presided over the Indian National Congress only once, at the Belgaum session of 1924.

1/0.24 of 1.44 = 1.44/0.24 = 6.

The Jataka tales are stories of the Buddha's previous births and are part of Buddhist literature.

Mumbai Indians beat Delhi Capitals in the IPL 2020 final in Dubai to win their fifth title.

A horse neighs; a goat bleats.

Ibn Battuta, the 14th-century traveller who served Muhammad bin Tughlaq, was born in Tangier, Morocco.

cos 63° = sin 27°, so the first term is sin²27°/cos²27° = tan²27°. cosec 63° = sec 27° and tan 45° = 1, so the second term is sec²27°. tan²27° − sec²27° = −1.

P would advise a route to Mumbai only if Q wants to go there, so II is implicit. Nothing suggests P advises everybody, so I is not.

On 15 February 2017 ISRO's PSLV-C37 launched 104 satellites in a single flight, a world record at the time.

Distance of a chord from the centre = √(r² − (half-chord)²): for the 12 cm chord √(100 − 36) = 8 cm, for the 16 cm chord √(100 − 64) = 6 cm. On opposite sides of the centre, they are 8 + 6 = 14 cm apart.

1 is in the triangle and rectangle, 4 in all three shapes and 2 in the circle and rectangle. 3 lies only inside the rectangle (5, also in one shape, is not an option).

Let the numbers be 26a and 26b with a, b co-prime. LCM = 26ab = 156, so ab = 6, and 26(a − b) = 26 gives a − b = 1. So a = 3, b = 2: the numbers are 78 and 52, summing to 130.

The only son of the lady's paternal grandfather is her father. The person's brother's father is therefore her father, so the person is her brother and she is his sister.

Let the numbers be 3k, 5k and 2k. Product = 30k³ = 10290, so k³ = 343 and k = 7. The greatest number = 5 × 7 = 35.

Shalu moves from 8th to 13th from the right and is then immediately left of Rama, so Rama is 12th from the right. Rama is 15th from the left, so there are 15 + 12 − 1 = 26 girls.

He played 5 + 12 + 3 = 20 matches and lost 12, so the fraction lost = 12/20 = 3/5.

sin 30° = 1/2, cot 60° = 1/√3 and tan 45° = 1. So 4 × 1/4 + 3 × 1/3 − 2 × 1 = 1 + 1 − 2 = 0.

Winter got 100 + 53 = 153 votes, more than rainy (130), summer (100) and spring (80).

60 km/h = 1000 m per minute. In 1.5 minutes the train covers 1500 m, which is its length.

LCM(144, 108, 72) = 432. Adding the remainder: 432 + 3 = 435.

Let acid = 3x and alcohol = 2x. Then 3x/(2x + 10) = 3/5, so 15x = 6x + 30 and x = 10/3. Acid = 3x = 10 litres.

Some cats are pets and all pets are animals, so some cats are animals (I follows). Lions are cats, but not all cats are animals per the statements, so II does not follow.

Some men are electricians and no electrician is a cook, so those men are not cooks – 3 follows. Nothing links plumbers with electricians or cooks, so 1 and 2 do not follow.

SAARC has eight members: Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka. Myanmar, China and Mauritius are not members.

2/3 of 3/5 = 2/5, so the bracket is 2/5 − 1/5 = 1/5. 6/5 ÷ 4/5 = 3/2. Value = 11/5 − 1/5 + 3/2 = 2 + 3/2 = 7/2.

36000/25000 = 1.44 = (1.2)², so the rate is 20% per annum.

Colombia hosted World Environment Day 2020 (in partnership with Germany) on the theme of biodiversity.

Interest per year = 10% of 5000 = Rs 500. Rs 1500 needs 1500/500 = 3 years.

Take x = 4, y = 5. First term = (20 + 35)/(20 − 35) = 55/−15 = −11/3. Second = (24 + 20)/(28 − 40) = 44/−12 = −11/3. Sum = −22/3.

The angle at the centre is twice the angle at the circumference: ∠POQ = 2 × 38° = 76°. OP = OQ (radii), so triangle POQ is isosceles and ∠PQO = (180° − 76°)/2 = 52°.

cos θ = √3/3 = 1/√3. cosec θ × tan θ = (1/sin θ)(sin θ/cos θ) = 1/cos θ = √3.

Rani-ki-Vav, the Konark Sun Temple and the Ajanta Caves are UNESCO World Heritage Sites. Only the Jantar Mantar in Jaipur is listed, not the one in New Delhi.

Dr. B.R. Ambedkar, Chairman of the Drafting Committee of the Constituent Assembly, is called the Father of the Indian Constitution.

Jaduguda in Jharkhand has India's first uranium mine, operated by the Uranium Corporation of India Ltd since 1967.

The work = 30 × 40 = 1200 worker-days. 75 workers need 1200/75 = 16 days.

Urjit Patel was RBI Governor (September 2016 – December 2018) when demonetisation of Rs 500 and Rs 1000 notes was announced on 8 November 2016.

ab = [(a + b)² − (a² + b²)]/2 = (64 − 12)/2 = 26. a³ + b³ = (a + b)³ − 3ab(a + b) = 512 − 3 × 26 × 8 = 512 − 624 = −112.

Dr. Ramesh Pokhriyal 'Nishank' was Union Minister of Education (renamed from HRD in 2020) from May 2019 to July 2021.

Antrix Corporation Limited, Bengaluru, is the commercial and marketing arm of ISRO.

The terms are cubes of odd numbers: 1³, 3³, 5³, 7³. The next is 9³ = 729.

The Gita Govinda, a Sanskrit poem about Krishna and Radha, was written by Jayadeva in the 12th century.

The Indian Councils Act of 1909 (Morley–Minto Reforms) introduced separate (communal) electorates for Muslims.

Typhoid is caused by the bacterium Salmonella Typhi. Hepatitis A, measles and polio are viral diseases.

Brazilian President Jair Bolsonaro was the chief guest at India's Republic Day celebrations in 2020.

LEADER → ELDARE swaps each pair of letters: LE → EL, AD → DA, ER → RE. FOUNTAIN in pairs FO|UN|TA|IN becomes OF|NU|AT|NI = OFNUATNI.

In each cluster the first pair is consecutive letters reversed (HG, FE, BA, DC) and the second pair is consecutive letters in order (ST, UV, YZ). DCWV breaks this – WV is reversed.

Each term is n³ + 3: 1 + 3 = 4, 8 + 3 = 11, 27 + 3 = 30, 64 + 3 = 67, 125 + 3 = 128. Next: 216 + 3 = 219.

Students who are musicians but not players lie inside the student rectangle and the musician triangle but outside the player rectangle – region Q. (U is musicians who are neither students nor players.)

41, 43 and 37 are prime numbers. 35 = 5 × 7 is composite, so it is different from the rest.

From FIVE = 5137 and RAT = 924, each letter has its own digit: F = 5, I = 1, V = 3, E = 7, R = 9, A = 2, T = 4. So FEAR = 5 7 2 9 = 5729.

New Delhi is the capital of India; Beijing is the capital of China.

The mother of the person's mother's husband (father) is the paternal grandmother. Her daughter is the person's father's sister – the person's aunt.

Gargi House: R, U, V and W. Tall among them: R and V (U and W are short). R wears a cap, so V is the tall Gargi girl without a cap.

From the clues: Q > S > P > T > U > R. R is the shortest.

Each letter of KOPT moves 10 places back to give AEFJ (K→A, O→E, P→F, T→J). Applying −10 to QUVZ gives G, K, L, P = GKLP.

Bhoomi > Chanchal > Lila in prettiness. So Lila is not as pretty as Chanchal (I is true); II, III and IV all contradict this order.

Rank from the bottom = 50 − 17 + 1 = 34th.

8 + 5 = 1340 is the sum (13) followed by the product (40). So 4 + 6 gives 10 followed by 24 = 1024.

Leopard, wildcat and tiger belong to the cat family (Felidae); the fox belongs to the dog family (Canidae).