30 ಮೀ x 15 ಮೀ x 10 ಮೀ ಆಯಾಮಗಳನ್ನು ಹೊಂದಿರುವ ಕೋಣೆಯಲ್ಲಿ ಇಡಬಹುದಾದ ಅತಿ ಉದ್ದದ ಕಂಬದ ಉದ್ದವನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.
ಉತ್ತರ ತೋರಿಸು ಮತ್ತು ವಿವರಣೆ
ಉತ್ತರ: (C) 35 ಮೀ
The longest pole is the room's diagonal: √(30² + 15² + 10²) = √(900 + 225 + 100) = √1225 = 35 m.
RRB NTPC CBT-I Official Paper (Held On: 30 Dec 2020 Shift 1) · 100 ಪ್ರಶ್ನೆಗಳು. ಪ್ರತಿ ಪ್ರಶ್ನೆಯನ್ನು ಪ್ರಯತ್ನಿಸಿ, ನಂತರ ಅದರ ಉತ್ತರ ತೆರೆಯಿರಿ.
ಉತ್ತರ: (C) 35 ಮೀ
The longest pole is the room's diagonal: √(30² + 15² + 10²) = √(900 + 225 + 100) = √1225 = 35 m.
ಉತ್ತರ: (C) \((abc)^\frac{1}{2}\)
With edges l, b, h: a = lb, b = bh, c = hl, so abc = (lbh)². Volume = lbh = (abc)^½.
ಉತ್ತರ: (C) ಕರ್ನಾಟಕ
Karnataka is India's largest gold producer, mainly from the Hutti and Kolar regions.
ಉತ್ತರ: (B) 6.25%
One year's growth from Rs 1600 to Rs 1700 is Rs 100, i.e. 100/1600 = 6.25% per annum.
ಉತ್ತರ: (D) ಜಮ್ಮು ಮತ್ತು ಕಾಶ್ಮೀರ
The Zojila Tunnel, giving all-weather road access between Srinagar and Leh under the Zoji La pass, is in Jammu & Kashmir/Ladakh.
ಉತ್ತರ: (B) ಇನ್ಪುಟ್
A trackball – a ball rolled to move the pointer – is an input device.
ಉತ್ತರ: (D) 6891.59775
6202.5 + 620.25 + 62.025 + 6.2025 + 0.62025 = 6891.59775.
ಉತ್ತರ: (D) UVTCVGIA
Each letter of VIARAIL moves 2 places forward to give XKCTCKN. Applying +2 to STRATEGY gives UVTCVGIA.
ಉತ್ತರ: (A) 5
The sum of the first n odd numbers is n². 1 + 3 + 7 + 9 + 11 + 13 is missing 5; adding it gives 49 = 7².
ಉತ್ತರ: (A) ಡೈನಾಮಿಕ್ ಹೋಸ್ಟ್ ಕಾನ್ಫಿಗರೇಶನ್ ಪ್ರೋಟೋಕಾಲ್ (Dynamic Host Configuration Protocol)
DHCP is the Dynamic Host Configuration Protocol, which automatically assigns IP addresses to devices on a network.
ಉತ್ತರ: (B) ಕೊಠಾರಿ ಆಯೋಗ
The Sarkaria, Punchhi and Rajamannar Commissions examined Centre–State relations. The Kothari Commission (1964–66) was on education.
ಉತ್ತರ: (D) 16
Primes below 55: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53 – that is 16.
ಉತ್ತರ: (A) ಸಿಂಕ್ಲೈನ್
When rock layers fold, the downward (trough) folds are synclines and the upward (arch) folds are anticlines.
ಉತ್ತರ: (C) ಕ್ಯುರೇಟರ್(ಮೇಲ್ವಿಚಾರಕ)
A gardener looks after a garden; a curator looks after a museum.

ಉತ್ತರ: (D) 20
In the first triangle the centre number is (top + bottom-left) ÷ 5 = (37 + 43) ÷ 5 = 16. Applying the same to the second: (47 + 53) ÷ 5 = 20. (The third triangle does not follow this neatly; the official RRB answer is 20.)

ಉತ್ತರ: (B) 36
The figure is a 3 × 3 grid with 4 horizontal and 4 vertical lines. A rectangle needs 2 of each: C(4, 2) × C(4, 2) = 6 × 6 = 36.
ಉತ್ತರ: (B) 1024
1 kilobyte = 2¹⁰ = 1024 bytes.
ಉತ್ತರ: (D) ಆದಿತ್ಯ-L1
Aditya-L1 is ISRO's mission to study the Sun's corona and solar wind from the L1 Lagrange point; it was launched in September 2023.
ಉತ್ತರ: (D) ಬರ್ಮಿಂಗ್ಹ್ಯಾಮ್
The 2022 Commonwealth Games were held in Birmingham, England.
ಉತ್ತರ: (A) 32
x − 0.25x = 0.75x = 24, so x = 32.
ಉತ್ತರ: (B) ಸರ್ದಾರ್ ವಲ್ಲಭಭಾಯಿ ಪಟೇಲ್
Sardar Vallabhbhai Patel led the Bardoli Satyagraha of 1928, after which the women of Bardoli gave him the title 'Sardar'.
ಉತ್ತರ: (B) 12.5%
Coefficient of variation = SD/mean × 100 = 5/40 × 100 = 12.5%.
ಉತ್ತರ: (A) ಸಿಲಿಕಾನ್
Silicon is a metalloid, with properties between metals and non-metals. Bromine is a non-metal; lead and gold are metals.
ಉತ್ತರ: (D) ಲಾರ್ಡ್ ಹಾರ್ಡಿಂಜ್
The Royal Commission on the Public Services in India (Islington Commission) was set up in 1912, during Lord Hardinge II's viceroyalty (1910–1916).
ಉತ್ತರ: (D) 300 ಕೆ.ಜಿ
Zinc is 6 of 20 parts. 6 parts = 90 kg, so 1 part = 15 kg and the whole = 20 × 15 = 300 kg.
ಉತ್ತರ: (D) ಎಥಿಲಿನ್
Ethylene (ethene) is polymerised to make polyethylene (polythene), the most common plastic.
ಉತ್ತರ: (B) ಶೂದ್ರಕ
Mricchakatika ('The Little Clay Cart'), a Sanskrit drama, was written by Shudraka.
ಉತ್ತರ: (B) TSRQ
Each letter is replaced by its opposite letter in the alphabet (A↔Z, B↔Y, …): ABCD → ZYXW. So GHIJ → TSRQ.

ಉತ್ತರ: (B) 105°
In triangle ABC, ∠ACB = 180° − 30° − 50° = 100°, so ∠ECD = 80°. In triangle ECD, ∠CED = 180° − 80° − 25° = 75°. So ∠AED = 180° − 75° = 105°.
ಉತ್ತರ: (A) ಬೆನ್ನುಹುರಿ
The spinal cord carries impulses between the brain and the body and is the centre of reflex actions.
ಉತ್ತರ: (A) 15
Avinash does 1/20 a day; Bhuvnesh and Chaman together do 1/30 + 1/60 = 1/20. In every 3 days: 3/20 + 1/20 = 1/5 of the work. The whole takes 5 × 3 = 15 days.
ಉತ್ತರ: (A) -40
(4 + 2 − 4 + 3) = 5; (1 + 56) ÷ 19 = 3; [(3 + 5 − 4) + (17 − 36)] = 4 − 19 = −15. So 5 + 3 × (−15) = −40.
ಉತ್ತರ: (A) ತೆಲಂಗಾಣ
Telangana, carved out of Andhra Pradesh on 2 June 2014, became India's 29th state.
ಉತ್ತರ: (A) ಎನ್. ಕೆ. ಸಿಂಗ್
N. K. Singh, a former IAS officer and Rajya Sabha MP, chaired the Fifteenth Finance Commission (2017).
ಉತ್ತರ: (C) \(\frac{4}{35}\)
After round 1: 2/3 left. After round 2: 2/3 × 2/5 = 4/15. After round 3: 4/15 × 3/7 = 4/35 of the original.
ಉತ್ತರ: (B) 3(x - y)(y - z)(z - x)
If a + b + c = 0 then a³ + b³ + c³ = 3abc. Here (x − y) + (y − z) + (z − x) = 0, so the sum = 3(x − y)(y − z)(z − x).
ಉತ್ತರ: (B) ದಾಚಿಗಾಮ್ ರಾಷ್ಟ್ರೀಯ ಉದ್ಯಾನ
Dachigam National Park near Srinagar, home of the Hangul (Kashmir stag), is in Jammu & Kashmir.
ಉತ್ತರ: (D) ಜಾರ್ಜ್ ಲೆಮೈಟ್ರೆ
Belgian physicist-priest Georges Lemaître proposed the 'primeval atom' theory in 1927–31, later called the Big Bang theory.
ಉತ್ತರ: (D) 1991
Disinvestment of public sector enterprises began in 1991–92 as part of the economic reforms.
ಉತ್ತರ: (D) 6
3 men = 6 boys, so 1 man = 2 boys. The work = 3 × 20 = 60 man-days. 6 men + 8 boys = 10 men, so 60/10 = 6 days.
ಉತ್ತರ: (B) \(\frac{23}{99}\)
0.2323… (23 repeating) = 23/99.
| ಔಪಚಾರಿಕ ಕಲಿಯುವವರು | ಹುಡುಗರು | 39 |
|---|---|---|
| ಹುಡುಗಿಯರು | 52 | |
| ಅನೌಪಚಾರಿಕ ಕಲಿಯುವವರು | ಹುಡುಗರು | 65 |
| ಹುಡುಗಿಯರು | 78 | |
| ಅನಕ್ಷರಸ್ಥರು | ಹುಡುಗರು | 143 |
| ಹುಡುಗಿಯರು | 169 |
ಉತ್ತರ: (A) 7 : 11 : 24
Formal = 39 + 52 = 91, informal = 65 + 78 = 143, illiterates = 143 + 169 = 312. Dividing by 13: 7 : 11 : 24.
ಉತ್ತರ: (B) ಬೋಗಿಬೀಲ್ ಸೇತುವೆ
The 4.94 km Bogibeel bridge over the Brahmaputra near Dibrugarh, opened in December 2018, is India's longest rail-cum-road bridge.
ಉತ್ತರ: (A) ಶಿಕ್ಷಣ
SATH-E (Sustainable Action for Transforming Human capital – Education) is NITI Aayog's project to transform school education in partner states.
ಉತ್ತರ: (D) 56
The terms are n(n + 1): 1×2, 2×3, …, 6×7 = 42. Next: 7 × 8 = 56.
ಉತ್ತರ: (B) ಪ್ರಧಾನ ಮಂತ್ರಿ ಜನ್ ಧನ್ ಯೋಜನೆ
Pradhan Mantri Jan Dhan Yojana entered the Guinness World Records for opening 1.8 crore bank accounts in a single week in August 2014.
ಉತ್ತರ: (C) ಕುತುಬ್-ಉದ್-ದಿನ್ ಐಬಕ್
Qutb-ud-din Aibak founded the Slave (Mamluk) dynasty of the Delhi Sultanate in 1206.
ಉತ್ತರ: (C) ಕೇರಳ
Kerala has a unicameral legislature. Karnataka, Maharashtra and Telangana have Legislative Councils.
ಉತ್ತರ: (C) ಗಗನ್(GAGAN)
GAGAN (GPS Aided GEO Augmented Navigation), by ISRO and the Airports Authority of India, is India's satellite-based augmentation system.
ಉತ್ತರ: (D) ವಜಾಮಾಡು
Disobey is the opposite of obey; dismiss is the opposite of appoint.
ಉತ್ತರ: (A) 0
The product includes cos 90° = 0, so the whole product is 0.

ಉತ್ತರ: (A) ರೂ. 34,500
In year 3, bank A pays 8.5% and bank B 10%. The difference of 1.5% on Rs 23,00,000 = Rs 34,500.
ಉತ್ತರ: (D) ಆರ್ಕ್ಟಿಕ್ ಸಾಗರ ಮತ್ತು ಪೆಸಿಫಿಕ್ ಸಾಗರ
The Bering Strait, between Russia and Alaska, connects the Arctic Ocean with the Pacific Ocean.

ಉತ್ತರ: (C) 200
First three years: 150 + 100 + 250 = 500. Last three: 100 + 300 + 300 = 700. Difference = 200.
ಉತ್ತರ: (C) 80%
Fall = 84500 − 16900 = 67600, and 67600/84500 × 100 = 80%.
ಉತ್ತರ: (D) P
Boys facing north, west to east: A, E, C, D, B – C in the centre, D between C and B, and B three seats from E. Girls opposite: T opposite B with S to T's right, so S and T face D and B; P sits between Q and R, opposite E. So P is opposite E.
ಉತ್ತರ: (D) ವರ್ಧಮಾನ
Mahavira, the 24th Jain Tirthankara, was born Vardhamana.
ಉತ್ತರ: (C) 0
cos 168° = −cos 12° and cos 96° = −cos 84°, so the four terms cancel in pairs: the sum is 0.
ಉತ್ತರ: (C) \(\frac{19}{32}\)
36.1/102.4 = 361/1024, so the square root is 19/32.
ಉತ್ತರ: (B) ಸರೀಸೃಪಗಳು
Reptiles have a backbone and are vertebrates. Molluscs, arachnids and insects are invertebrates.
ಉತ್ತರ: (A) ಕೇರಳ
The 2018 Nipah virus outbreak occurred in Kozhikode and Malappuram districts of Kerala.
ಉತ್ತರ: (C) 1% ನಷ್ಟ
When two articles are sold at the same price, one at x% gain and the other at x% loss, the net result is a loss of x²/100 % = 100/100 = 1%.
ಉತ್ತರ: (A) 3 ಸೆಂ.ಮೀ
The height from the apex bisects the base: half-base = 4 cm, so height = √(5² − 4²) = 3 cm.
ಉತ್ತರ: (D) 8
9.25 ÷ 1.125 ≈ 8.2, so about 8 loaves.
ಉತ್ತರ: (C) ಪ್ಲೇಟೋ
'The Republic', a dialogue on justice and the ideal state, was written by the Greek philosopher Plato.
ಉತ್ತರ: (D) ಅಭಿದರ್ಮ ಕೋಶ
The Abhidharmakosha by Vasubandhu is an ancient Buddhist philosophical text. Vishnu Purana is Hindu, and Raghuvamsham and Ritusamhara are Kalidasa's poems.
ಉತ್ತರ: (B) 10
After the changes: 28 − (5 + 7) × 9/6 = 28 − 12 × 1.5 = 28 − 18 = 10.
ಉತ್ತರ: (A) 4722
LCM(27, 35, 25, 21) = 3³ × 5² × 7 = 4725. The number is 3 less: 4722.
ಉತ್ತರ: (B) 9 : 7
The numbers are (20 + 2.5)/2 = 11.25 and (20 − 2.5)/2 = 8.75. Ratio 11.25 : 8.75 = 9 : 7.

ಕೊಟ್ಟಿರುವ ಆಕೃತಿಯಲ್ಲಿ, x ನ ಮೌಲ್ಯ ಎಷ್ಟು?
ಉತ್ತರ: (B) 60°
ABCDE is a pentagon with interior angles adding to 540°. ∠A = 90°, ∠B = 180° − 65° = 115°, ∠C = 180° − 80° = 100° and ∠D = 115°, so ∠E = 540° − 420° = 120°. x is supplementary to it: x = 60°.
ಉತ್ತರ: (B) ಚಿಕ್ಕಮ್ಮ
A is C's uncle (brother of C's father B), and D is A's wife, so D is C's aunt.
ಉತ್ತರ: (B) ಕಲ್ಲಿದ್ದಲು
Water, solar and wind energy are renewable; coal is a non-renewable fossil fuel.
ಉತ್ತರ: (B) ಹಸಿರು ಸಸ್ಯ
Water, sunlight and soil are abiotic (non-living). A green plant is a living, biotic component.
ಉತ್ತರ: (C) 83.75 ಕಿ.ಮೀ
Moving in opposite directions, their separation grows at 30 + 3.5 = 33.5 km/h. In 2.5 h: 83.75 km.
ಉತ್ತರ: (C) 52/123
1 + 4 − 3 + 65 = 67. (2 + 63)/13 = 5 and 65 + 7 − 19 = 53, giving 265. 19 − 195 = −176. Numerator = 67 + 265 − 176 = 156, and 156/369 = 52/123.
ಉತ್ತರ: (A) HysIS
HysIS (Hyperspectral Imaging Satellite), launched by PSLV-C43 in November 2018, is India's first advanced hyperspectral Earth-observation satellite.
ಉತ್ತರ: (A) \(\frac{1}{36}\)
There are 36 equally likely outcomes and only (6, 6) gives a sum of 12. Probability = 1/36.
ಉತ್ತರ: (C) ರಾಮಾನುಜಾಚಾರ್ಯ
Ramanujacharya (11th–12th century) founded Vishishtadvaita (qualified non-dualism).
ಉತ್ತರ: (B) TOP ಬೆಳೆಗಳ (ಟೊಮೆಟೊ ಈರುಳ್ಳಿ ಆಲೂಗಡ್ಡೆ) ಪೂರೈಕೆ ಸ್ಥಿರೀಕರಣ
Operation Greens (2018) aims to stabilise the supply and prices of tomato, onion and potato (TOP crops).
ಉತ್ತರ: (A) ಪ್ರತಿಯೊಬ್ಬರೂ ಸಂತೋಷವನ್ನು ಬಯಸುತ್ತಾರೆ.
Calling pleasure 'desirable' assumes that it is something everyone desires.
ಉತ್ತರ: (C) ಅಪ್ಸರಾ
Apsara, which went critical at Trombay on 4 August 1956, was India's (and Asia's) first nuclear research reactor.
ಉತ್ತರ: (C) ಪ್ರಿಟೋರಿಯಾ
South Africa has three capitals: Pretoria (administrative), Cape Town (legislative) and Bloemfontein (judicial).
ಉತ್ತರ: (B) ಪ್ಯಾರಿಸ್
The OECD (Organisation for Economic Co-operation and Development) is headquartered in Paris.
ಉತ್ತರ: (A) ಮೆಟಾಜೋವಾ
Metazoa – multicellular animals – make up Kingdom Animalia. Protozoa are single-celled organisms placed in Kingdom Protista, and Choanozoa are their single-celled relatives.
ಉತ್ತರ: (D) ರೂ. 156
At an 8% loss, CP = 138/0.92 = Rs 150. For a 4% gain, SP = 150 × 1.04 = Rs 156.
ಉತ್ತರ: (A) ಎಲ್ಲಾ ಮತದಾರರು ನಿಷ್ಠಾವಂತರು.
All voters are citizens and all citizens are loyalists, so all voters are loyalists.
ಉತ್ತರ: (D) ಅಪೂರ್ಣ ಮಾಹಿತಿ ಹಾನಿ ಉಂಟುಮಾಡಬಹುದು.
The proverb warns that partial knowledge can mislead; it rests on the idea that incomplete information may cause harm.

ಉತ್ತರ: (C) ಎಲ್ಲಾ ಕಲಾವಿದರು ವ್ಯಂಗ್ಯಚಿತ್ರಕಾರರು.
With the shaded regions removed, the only artists left are in the region common to all three circles, so all artists are cartoonists. Some cartoonists remain outside the artists circle, and the remaining artists are also billionaires, so the other options are false.

B.

C.

D.

ಉತ್ತರ: (A) A
A mirror image reverses the order of letters and flips each letter: ENCOURAGEMENT becomes TNEMEGARUOCNE with every letter mirrored – option 1.
ಉತ್ತರ: (C) 112
The code is the sum of letter positions: PENINSULA = 16 + 5 + 14 + 9 + 14 + 19 + 21 + 12 + 1 = 111. DICHOTOMY = 4 + 9 + 3 + 8 + 15 + 20 + 15 + 13 + 25 = 112.
ಉತ್ತರ: (C) 121
These are squares of odd numbers: 1², 3², 5², 7², 9², so the next is 11² = 121.

B.

C.

D.

ಉತ್ತರ: (C) C
Plates and bowls are both crockery but different from each other: two separate circles inside one big circle – option 3.
ಉತ್ತರ: (A) YUP
Each letter is replaced by its opposite (A↔Z, E↔V, J↔Q). So BFK → YUP.

ಉತ್ತರ: (D) 5
Doctors who are surgeons but not general practitioners lie in the overlap of the Surgeons and Doctors circles outside the GP circle – 5.
ಉತ್ತರ: (B) 163
The terms increase alternately by 10 and 20: 13, 23, 43, 53, 73, 83, 103, 113, 133, 143, so the next is 143 + 20 = 163.

ಉತ್ತರ: (A) 12 : 11
Highest (Kolkata) = 1,20,000 and lowest (Mumbai) = 1,10,000. Ratio = 12 : 11.
ಉತ್ತರ: (D) ಯಾವುದೇ ಉಭಯಚರಗಳು ಕುದುರೆಗಳಲ್ಲ
All horses are mammals and no mammal is an amphibian, so no horse is an amphibian – equivalently, no amphibians are horses.
ಉತ್ತರ: (A) ದಿಕ್ಸೂಚಿ
Beaker, test tube and dropper are laboratory glassware for liquids. A compass is a drawing or direction instrument.

A.

B.

C.

D.

ಉತ್ತರ: (A) A
As per the official RRB key, option 1 completes the pattern. (The dot counts 3, 6, 9 would suggest 12 next, which no option has, so the official answer is taken here.)
| 14 | 12 | 10 | 8 |
|---|---|---|---|
| 10 | 8 | 2 | 4 |
| 8 | 14 | 6 | 16 |
| 12 | 18 | 14 | ? |
ಉತ್ತರ: (D) 20
As per the official RRB key, the missing number is 20. (No single simple row or column rule fits every cell of the printed matrix, so the official answer is taken here.)