MP Police Constable Mock Test 1 — 100 MCQs in Exam Pattern

The Khasis had swords, shields, bows and arrows but no firearms. They turned to guerrilla warfare.

Giani Zail Singh, President from 1982 to 1987, was the first Sikh to hold India’s highest constitutional office.

Commercial farming grows crops specifically to sell for profit, using high inputs of capital and machinery — the opposite goal from subsistence farming’s family-feeding purpose.

The Bharat Ratna is India’s highest civilian award. Mother Teresa received it in 1980 for her service. Padma Vibhushan, Padma Bhushan and Padma Shri are other civilian awards. None is higher than the Bharat Ratna.

Review Mother Teresa: mission and honours.

A dead zone is an area of water with too little oxygen for most marine life, a condition scientists call hypoxia.

Nehru called him the ‘Father of the Lok Sabha,’ though the two also had real institutional disagreements.

He landed on 29 April and later claimed the east coast for Britain.

Jharkhand was carved out of 18 southern districts of Bihar on 15 November 2000.

The answer is 1977. It is state-owned land. Its buffer zone was protected as a forest reserve. Why the others fail: 2016 is the UNESCO listing. 1986 and 1997 are not its key dates. Memory hook: 1977 park, 2016 World Heritage.

The answer is the Nilgiri Biosphere Reserve. It also covers Nagarahole, Mudumalai and Wayanad. Why the others fail: Nanda Devi is in Uttarakhand, Sundarbans in West Bengal and Panna in Madhya Pradesh. Memory hook: Bandipur sits in the Nilgiris.

Tiger Hill was recaptured by 18 Grenadiers on 4 July 1999, becoming the Kargil War’s most iconic victory.

Freshwater makes up only about 2.5% of all water on Earth, and most of that is locked in glaciers and ice caps.

He had built the Cardiothoracic Sciences Centre there himself, after joining AIIMS as faculty.

She summited Mount Everest on 25 May 2014, at age 13, becoming the youngest girl in the world to do so.

The answer is 10. About 36 islands make up the territory, but only 10 have people. Why the others fail: 36 is the total count, not the inhabited count. Memory hook: 10 of 36.

Vallabhbhai Patel quit his legal practice to organise the Kheda Satyagraha, a campaign that made him Gandhi’s chief lieutenant in Gujarat.

The answer is Rousseau. His 1762 work ‘The Social Contract’ argued for legitimate political authority resting on the general will of the people.

The answer is Rabi. Down To Earth calls WDs essential for the Rabi season because they maintain the moisture the soil needs. Why the others fail: Kharif depends on the south-west monsoon. Zaid is a summer crop. WDs bring rain as well as snow. Memory hook: winter rain, winter crop.

Quasi-judicial bodies like Administrative Tribunals have a specific function. They resolve specific categories of disputes. This happens outside the regular court system, functioning somewhat like courts without being formal courts.

The answer is Cell wall. It’s present in plant cells but absent in animal cells, which rely solely on a flexible cell membrane.

‘Vande Mataram’ holds the status of national song, distinct from ‘Jana Gana Mana’, which is the national anthem.

Correct: Fatehpur Sikri. Akbar made the village of Sikri, where his son was born, his capital. It was renamed Fathpur after the conquest of Gujarat. Agra, Lahore and Sikandra are other places.

The Atal Innovation Mission is NITI Aayog’s flagship initiative to promote innovation and entrepreneurship, not a department or ministry.

The answer is Habeas Corpus. This writ orders the production of a detained person before a court to determine if the detention is lawful.

Bhabha founded the Tata Institute of Fundamental Research and laid the foundation of India’s nuclear programme.

The first Women’s Cricket World Cup was held in 1973, in England. It came two years before the men’s first official World Cup, in 1975.

The Gandhara school shows strong Hellenistic (Greek) influence, from the region’s contact with Greco-Bactrian and Roman art.

Kapil Dev, from Haryana, led India to its first Cricket World Cup win in 1983.

Travancore-Cochin merged further, in 1956, into the newly formed state of Kerala, under the States Reorganisation Act, so it no longer exists under its own name.

Machu Picchu, an Inca site high in the Andes, is one of Peru’s most famous landmarks.

This sequence follows units of writing from smallest to largest. A word is the smallest unit, a single unit of meaning. Words combine to form a sentence, a complete thought. Sentences combine to form a paragraph, a group of related sentences. Paragraphs combine to form an essay, a full piece of writing. So the order is Word, Sentence, Paragraph, Essay, matching option B.

Substitute the real operations in every option: + becomes ×, − becomes ÷, × becomes −, and ÷ becomes +. Checking option A: 12 − 4 + 18 ÷ 9 becomes 12 ÷ 4 × 18 + 9. Division and multiplication come first, worked left to right. 12 ÷ 4 = 3, then 3 × 18 = 54, then 54 + 9 = 63. This matches the stated total, so option A is correct. Checking option B: 20 + 10 − 2 × 7 becomes 20 × 10 ÷ 2 − 7. 20 × 10 = 200, then 200 ÷ 2 = 100, then 100 − 7 = 93, not 16. Checking option C: 9 × 12 − 6 ÷ 2 becomes 9 − 12 ÷ 6 + 2. 12 ÷ 6 = 2, then 9 − 2 = 7, then 7 + 2 = 9, not 105. Checking option D: 12 ÷ 4 × 18 − 9 becomes 12 + 4 − 18 ÷ 9. 18 ÷ 9 = 2, then 12 + 4 = 16, then 16 − 2 = 14, not 45. Only option A holds true, so option A is correct.

Vivek is the son of Harish, so Harish is Vivek’s father. Harish is also the father of Meena, so Meena is Vivek’s sister. Shalini is the wife of Vivek, so Vivek is Shalini’s husband. Vivek is Harish’s son, and Shalini is his wife. A son’s wife is called a daughter-in-law. So Shalini is related to Harish as his daughter-in-law.

The code ‘A + B’ means A is the father of B. The code ‘A × B’ means A is the brother of B. The code ‘A ÷ B’ means A is the sister of B. P + Q means P is the father of Q. Q × R means Q is the brother of R. So Q and R are siblings. R ÷ S means R is the sister of S. So R and S are siblings too. This means Q, R and S are all siblings of each other. P is the father of Q. So P is also the father of R and S. So P is related to S as his father.

A rectangle in this grid is fixed by choosing 2 horizontal lines and 2 vertical lines. A grid with 3 rows has 4 horizontal lines, so there are C(4,2) = 6 ways to pick 2 of them. A grid with 4 columns has 5 vertical lines, so there are C(5,2) = 10 ways to pick 2 of them. Multiply these two counts together: 6 times 10 equals 60. A common mistake is counting only the 12 smallest unit cells, and missing every larger rectangle. The correct total, across every size, is 60.

This sequence follows the natural life cycle of a butterfly. It starts as an egg laid on a leaf. The egg hatches into a caterpillar, which eats and grows. The caterpillar forms a pupa, where its body changes completely. The pupa opens to release the adult butterfly. So the order is Egg, Caterpillar, Pupa, Butterfly, matching option B.

After the swap, Zara sits in Kabir’s old seat. That seat’s rank from the left was fixed at 12, Kabir’s original rank. We’re told this same seat is now 12th from the right too. Total = rank from left + rank from right − 1 = 12 + 12 − 1 = 23. So the row has 23 runners.

Compare the input with Step 1. volga moves to the front of the line. It is the next word in reverse alphabetical order in the input. Compare Step 1 with Step 2. nile moves to the front next. So the rule is: each step moves the next word in reverse alphabetical order to the front of the line. Every number is left alone. It only shifts position as the words move around it. This rule fits every step shown above. Apply the same rule forward to reach Step 3. By Step 3, the front block holds 3 words, in this order: volga, nile, ganges. So the answer is: volga nile ganges 16 39.

Compare the input with Step 1. The steps take turns. Step 1 moves a number, 12, to the front. Step 2 moves a word, drum, to the end. Step 3 moves a number, 33, to the front. So the rule is: a number-turn and a word-turn keep alternating, one per step. Numbers are placed smallest to largest. Words are placed in alphabetical order. This turn-taking rule fits every step shown above. Follow the same turns forward to reach Step 5. Step 5 is a number turn, placing 55. So the answer is: 12 33 55 violin 68 harp drum flute.

Statement 1 says all modules are circuits. Statement 2 says all circuits are devices. Chain the two using the shared term circuits. Every module is a circuit, and every circuit is a device. So every module must be a device. This makes conclusion I valid. Modules form a real, non-empty group inside devices. So at least some devices must be modules. This makes conclusion II valid too. Both conclusions follow from the statements. The correct answer is: both conclusions I and II follow.

Five students sit around a circular table, facing the centre. Number the seats 1 to 5 clockwise, starting from Waseem’s seat as seat 1. Facing the centre means a person’s left hand points to the next seat clockwise, and their right hand points to the previous seat. Yamini sits immediately to the right of Waseem, one seat back from seat 1. Moving back once from seat 1 wraps around to seat 5. So Yamini sits in seat 5. Zubin sits second to the right of Waseem, two seats back from seat 1. Moving back twice from seat 1 lands on seat 4. So Zubin sits in seat 4. Only seats 2 and 3 are left, for Bela and Aakash. Aakash does not sit next to Waseem. The seats next to Waseem’s seat 1 are seat 5 and seat 2. Seat 5 is already taken, so this rule means Aakash cannot be in seat 2. So Aakash sits in seat 3, and Bela sits in seat 2. Every seat is filled: Waseem 1, Bela 2, Aakash 3, Zubin 4, Yamini 5. Second to the left of Yamini means two seats forward from seat 5. Moving forward twice from seat 5 wraps around to seat 2. Seat 2 is Bela’s seat. So Bela sits second to the left of Yamini.

Statement 1 says all harbors are docks. Statement 2 says no docks are lagoons. The shared term is docks. Harbors sit fully inside docks, and docks never touch lagoons. So harbors can never touch lagoons either. This means no harbors are lagoons. This makes conclusion I valid. A statement saying no X are Y always converts safely to no Y are X. So no harbors are lagoons also means no lagoons are harbors. This makes conclusion II valid too. Both conclusions follow from the statements. The correct answer is: both conclusions I and II follow.

The given set is (3, 4, 37). Square both numbers: 3 squared is 9, and 4 squared is 16. Now multiply the two numbers together: 3 x 4 = 12. Add all three results: 9 + 16 + 12 = 37. This matches. So the rule is: third number = (first squared) + (second squared) + (first x second). Test (5, 2, 39): 25 + 4 + 10 = 39. This matches, so it works. Test (2, 6, 50): 4 + 36 + 12 = 52, not 50. This fails. Test (6, 1, 42): 36 + 1 + 6 = 43, not 42. This fails. Test (3, 5, 47): 9 + 25 + 15 = 49, not 47. This fails. Only (5, 2, 39) follows the rule. So the answer is (5, 2, 39).

Anil is the brother of Deepika, so Anil and Deepika are siblings. Deepika is the wife of Manish, so Deepika and Manish are married. Ishaan is the son of Deepika, so Ishaan is Deepika’s son. Ishaan is the son of Anil’s sister. A sister’s son is called a nephew. So Ishaan is related to Anil as his nephew.

Statement 1 says all turbines are rotors. Statement 2 says all rotors are shafts. Chain these using ‘rotors’: every turbine is a rotor, and every rotor is a shaft. So every turbine must be a shaft. This makes conclusion I valid. Statement 3 says some shafts are couplings. But turbines are only one part of the whole shaft group. The shafts that are couplings may not include any turbines at all. So conclusion II, some couplings are turbines, is not guaranteed. It only follows if the coupling-shafts happen to overlap with turbines, and nothing confirms that. The correct answer is: only conclusion I follows.

A year is a leap year if it divides evenly by 4. A century year only stays a leap year if it also divides by 400. Check 2000: it divides by 4 and by 400. So 2000 is a leap year. Check 2400: it also divides by 4 and by 400. So 2400 is a leap year too. Check 2016: it divides by 4, and it is not a century year. So 2016 is a leap year as well. Check 1800: it divides by 4, but 1800 divided by 400 leaves a remainder. So 1800 fails the century test. The year that is not a leap year is 1800.

Build the height order from the clues, tallest to shortest. Deepak is tallest, and Sunita is just below Deepak. Alok is shorter than Sunita but taller than Neha. Tarun is shorter than Neha. The full order is: Deepak, Sunita, Alok, Neha, Tarun. Tarun is at the bottom, so Tarun is the shortest.

Each letter is shifted forward by one position in the alphabet: C->D, A->B, T->U. Applying this to DOG: D->E, O->P, G->H, giving EPH.

Compare the input with Step 1. Two moves happen together in each step. The next largest number goes to the front: that is 73. At the same time, the next word in alphabetical order goes to the end: that is opal. In Step 2, 56 moves to the front and ruby moves to the end, together. So the rule is: each step sends the next number to the front and the next word to the end, at the same time. One extra word never takes part in this. It just keeps shifting out of the way. This rule fits every step shown above. There are 3 numbers and 3 words to place. Each step places one of each, together. So the rearrangement needs exactly 3 steps.

In TIME, add up the alphabet positions of only the consonants, T and M, skipping the vowels I and E: T=20, M=13, and 20+13=33, which matches. So the rule is: add up the alphabet positions of only the consonants in the word. In WORK, the consonants are W, R, and K, since O is the only vowel. W=23, R=18, K=11, and 23+18+11=52. So the answer is 52.

This sequence follows the usual hiring process at a company. A company first advertises the role through a job posting. Interested candidates then send in their application. Shortlisted candidates are called for an interview. Successful candidates finally receive an offer letter. So the order is Job Posting, Application, Interview, Offer Letter, matching option B.

Under this rule, + actually means −, and − actually means +. Rewrite the expression with the real operations: 18 − 7 + 5 − 9. First, 18 − 7 = 11. Next, 11 + 5 = 16. Finally, 16 − 9 = 7. So the value of the expression is 7.

All five words share the same first four letters, C-O-N-F. So compare the letters that follow. Confide has I then D, which comes first. Confirm has I then R, which comes second. Conflate has L then A, which comes third. Conflict has L then I, which comes fourth. Confuse has U, which comes last since U follows I and L. So the order is Confide, Confirm, Conflate, Conflict, Confuse, matching option D.

Take 9 January 2027 as the known reference day, a Saturday. Count the days from 9 January to 14 June 2027. January contributes 22 remaining days, since 31 minus 9 equals 22. February 2027 is not a leap year, so it contributes 28 days. March contributes 31 days, April contributes 30, and May contributes 31. June contributes 14 days, up to the target date. Adding these gives 22 plus 28 plus 31 plus 30 plus 31 plus 14, which is 156 days. Divide 156 by 7. That gives 22 full weeks, with a remainder of 2 days. Move 2 days forward from Saturday. Saturday plus 1 is Sunday, plus 2 is Monday. So 14 June 2027 falls on a Monday.

Take 14 July 2019 as the known reference day, a Sunday. The span to 14 July 2026 covers 7 one-year gaps. Each gap runs from 14 July of one year to 14 July of the next. Check which gaps pass through a 29 February. The gap starting in 2019 passes through February 2020, a leap year. The gap starting in 2023 passes through February 2024, also a leap year. No other gap in this span passes through a leap February. So 2 of the 7 gaps carry an extra day, and 5 gaps are ordinary. Each ordinary gap contributes 1 odd day, and each leap-affected gap contributes 2. The total is 5 times 1, plus 2 times 2, which equals 5 plus 4, or 9 odd days. Divide 9 by 7. That gives 1 full week, with a remainder of 2 days. Move 2 days forward from Sunday. Sunday plus 2 is Tuesday. So 14 July 2026 falls on a Tuesday.

A letter has the same mirror image only if it is symmetric left to right. The standard list is A, H, I, M, O, T, U, V, W, X, and Y. The word ‘VITAMIN’ has 7 letters. Checking each one against that list gives a match every time it appears: V, I, T, A, M, I. That is 6 matching letters in total, so the answer is 6.

The letter ‘W’ shows up in both views. In View 1, ‘W’ sits next to ‘R’ and ‘Z’. In View 2, ‘W’ sits next to ‘V’ and ‘X’. A cube face touches four other faces and never touches the face opposite it. So ‘W’ is next to ‘R’, ‘Z’, ‘V’ and ‘X’. The one face never seen next to ‘W’ is its opposite. That face is ‘Y’, so the answer is Y.

A clock’s mirror image follows one rule: mirror time = 11:60 minus the actual time. Here the given time is 3:15. 11:60 minus 3:15 works out to 8:45. So the answer is 8:45. This rule works both ways: applying it twice returns the original time.

Substitute the real operations: − becomes ×, + becomes ÷, × becomes −, and ÷ becomes +. The expression becomes: 16 × 8 ÷ 4 − 2 + 4. Multiplication and division come first, worked left to right. 16 × 8 = 128, then 128 ÷ 4 = 32. The expression is now: 32 − 2 + 4. Working left to right, 32 − 2 = 30, then 30 + 4 = 34. So the value of the expression is 34.

Rohan’s rank from the front is 9. His rank from the back is 14. The formula is: Total = rank from front + rank from back − 1. We subtract 1 because Rohan himself is counted once in each rank. Total = 9 + 14 − 1 = 22. So the queue has 22 people.

The cube’s six faces show Sun, Moon, Star, Cloud, Leaf and Wave. In View 1, Sun sits with Moon and Star, so Sun is adjacent to both. In View 2, Sun sits with Cloud and Leaf, so Sun is adjacent to both as well. Together, Sun is now known to be adjacent to four different faces: Moon, Star, Cloud and Leaf. A cube face can be adjacent to at most four others, touching every face except its opposite. Since Sun is already adjacent to Moon, Star, Cloud and Leaf, only Wave is left. So Wave must be the face opposite Sun. The symbol opposite Sun is Wave.

Look at Row 1. Add the first two numbers: 4 + 7 = 11. Double that sum: 11 x 2 = 22. Subtract 1: 22 – 1 = 21. This matches Row 1’s third number. The rule is: third number = (first + second) x 2, minus 1. Apply it to Row 2: 6 + 9 = 15. Then 15 x 2 = 30, and 30 – 1 = 29.

The hands coincide when the hour hand’s angle equals the minute hand’s angle. This means 30 x H plus 0.5 x M equals 6 x M. So 30 x H equals 5.5 x M, and M equals 60 x H divided by 11. Between 3:00 and 4:00, H equals 3. So M equals 180 divided by 11, which is 16 and 4/11 minutes. The hands coincide at exactly 3:16 4/11.

A right angle means the hands are 90 degrees apart. This happens at M = (60H ± 180) / 11 minutes past H. For H = 4, the two values are 60/11 and 420/11. The first is 5 5/11 minutes, so 4:05 5/11. The second is 38 2/11 minutes, so 4:38 2/11, which is the answer.

A water image time follows this rule: water time equals 6:00 minus the actual time. At 4:10, this subtraction needs borrowing, since 10 is more than 0. Rewrite 6:00 as 5 hours and 60 minutes. Subtract the hours: 5 minus 4 equals 1. Subtract the minutes: 60 minus 10 equals 50. So the water image reads 1:50.

First convert Devika’s rank to a front-based rank. Rank from front = total − rank from back + 1 = 40 − 21 + 1 = 20. So Devika is 20th from the front. Farah is 6 ranks ahead, so Farah’s rank is smaller by 6. Farah’s rank from the front = 20 − 6 = 14.

Count squares one size at a time, from smallest to largest. A size k square fits in (n-k+1) positions along each side of an n by n grid. For this 4 by 4 grid, here is each size’s count. 1 by 1 gives 16, 2 by 2 gives 9, 3 by 3 gives 4. 4 by 4 gives 1. Add every size together to get the total. The sum is 30. A common mistake is counting only the 16 smallest unit squares, and forgetting the larger squares made by combining them. The correct total, across every size, is 30.

The words ‘can’ and ‘fly’ both appear in both sentences. Compare the two code groups: ‘ru mo ka ti’ and ‘mo pa ka lo’. The codes common to both groups are ‘mo’ and ‘ka’. Since ‘can’ and ‘fly’ are the only words common to both sentences, their codes must be this common pair. So the answer is mo, ka.

The watch loses 3 minutes for every real hour that passes. From 8:00 AM to 2:00 PM, exactly 6 real hours pass. Total loss equals 3 minutes times 6, which is 18 minutes. A losing watch always falls behind the real time. So subtract this loss from the correct time. 2:00 PM minus 18 minutes gives 1:42 PM. The faulty watch shows 1:42 PM at real 2:00 PM.

In GOLD, each letter is shifted back by 1 place: G-1=F, O-1=N, L-1=K, D-1=C, giving FNKC, which matches. So the rule is: shift every letter back by 1 place. Apply the same rule to SILVER: S-1=R, I-1=H, L-1=K, V-1=U, E-1=D, R-1=Q. So the answer is RHKUDQ.

At the magnetic poles, Earth’s field points straight down (or up) into the ground, giving the maximum possible angle of dip, 90°.

An object’s weight on the Moon is approximately one-sixth of its weight on Earth.

Frequency is 20/10 = 2 Hz. Period is the reciprocal, so T = 1/2 = 0.5 s. Two cycles per second does not mean two seconds per cycle.

Electronegativity specifically describes how strongly a bonded atom pulls shared electron density toward its own nucleus.

Calcium carbonate decomposes and its calcium then combines with silica impurities, forming molten slag that separates from the iron.

Since 1 micron equals 1,000 nanometres, 20 microns converts to 20 × 1,000, or 20,000 nanometres.

For a monoatomic substance, like a noble gas, a single free atom essentially IS the molecule — there’s no bonding to additional atoms involved.

Intense exercise forces muscles into anaerobic respiration, producing lactic acid, whose buildup is linked to the cramping and fatigue that follows.

A solution is broadly defined as any homogeneous mixture, whether it involves solids, liquids, or gases combining uniformly.

Mercury is the only common metal that remains liquid at room temperature, thanks to its unusually low melting point.

Panthera pardus designates the leopard, distinguishing it from Panthera tigris (tiger) and Panthera leo (lion).

Going up one octave exactly doubles the frequency, so a note one octave above 500 Hz has a frequency of 1,000 Hz.

Cirrhosis results from liver damage (often from alcohol or chronic disease), not direct person-to-person transmission.

Antoine Lavoisier is credited as the Father of Modern Chemistry, for establishing the law of conservation of mass and helping found systematic chemical nomenclature.

Almost all of an atom mass sits in its nucleus, made up of protons and neutrons. Electrons are so light that their mass barely counts, roughly 1800 times lighter than a proton. So atomic mass number is calculated simply as the number of protons plus the number of neutrons.

Let length = L = 20 m, breadth = B = 10 m, rate = Rs 75 per sq m. Area of the room = L x B = 20 x 10 = 200 sq m. Cost of flooring = area x rate = 200 x 75 = Rs 15000.

Let Principal P = Rs 29000, S.I. = Rs 12180, Time T = 6 years. Formula: Rate R = (100 x S.I.)/(P x T). 100 x S.I. = 100 x 12180 = 1218000. P x T = 29000 x 6 = 174000. R = 1218000/174000 = 7%. Check: S.I. = (P x R x T)/100 = (29000 x 7 x 6)/100 = Rs 12180.

Let radius = R = 7 cm, and take pi = 22/7. Circumference of a circle = 2 x pi x R. So circumference = 2 x (22/7) x 7 = 44 cm.

There are 4 choices for starters and 5 choices for main courses. These two choices are independent: picking one does not affect the other. By the fundamental counting principle, multiply the number of choices together. Total ways = 4 x 5 = 20.

A week has 7 days, so a full week never changes the day of the week. An ordinary year has 365 days. 365 ÷ 7 = 52 remainder 1, so 365 days = 52 complete weeks (364 days) plus 1 extra day. That leftover 1 day is called an odd day. So an ordinary year has exactly 1 odd day. Check: 52×7 + 1 = 365, which matches.

Convert each Roman numeral to its value: M = 1000, D = 500, C = 100, L = 50. Now order these values from greatest to least: 1000 > 500 > 100 > 50, i.e. M > D > C > L.

Direct proportionality means x and y grow together at a fixed rate. This is written as x = ky, where k is a constant. As y increases, x increases by the same fixed multiple. For example, doubling y doubles x.

Let train length L = 150 m and platform length P = 70 m. Train speed = 72 km/hr; convert to m/sec: 72 x 5/18 = 20 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 150 + 70 = 220 m. Time = distance / speed = 220/20 = 11 seconds. Check: 20 m/sec x 11 sec = 220 m, which matches L + P.

Let Principal P = Rs 2125, Rate R = 40% per annum, Time T = 3 years. Compounded annually, each year the amount is multiplied by (100+R)/100 = 7/5. After year 1, Amount = 2125 x 7/5 = Rs 2975. After year 2, Amount = 2975 x 7/5 = Rs 4165. After year 3, Amount = 4165 x 7/5 = Rs 5831. So Amount after 3 years = Rs 5831. C.I. = Amount – Principal = 5831 – 2125 = Rs 3706. Check: Principal + C.I. = 2125 + 3706 = Rs 5831, which matches the Amount.

Let the given speed be 75 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 75 x 18/5. 75 x 18 = 1350. 1350/5 = 270 km/hr. Check: 270 x 5/18 = 75 m/sec, which matches the given speed.

Let length = L = 17 m and breadth = B = 4 m. Perimeter of a rectangle = 2 x (L + B). L + B = 17 + 4 = 21. Perimeter = 2 x 21 = 42 m.

Let length = l = 14 m, breadth = b = 9 m, height = h = 11 m. Volume of a cuboid = length x breadth x height. So volume = 14 x 9 x 11. 14 x 9 = 126, and 126 x 11 = 1386. So the volume is 1386 cubic m.

Let length = l = 36 m, breadth = b = 35 m, height = h = 7 m. Volume of a cuboid = length x breadth x height. So volume = 36 x 35 x 7. 36 x 35 = 1260, and 1260 x 7 = 8820. So the volume is 8820 cubic m.

Let the expression be 21 – 108 / 9 + 3. By BODMAS, division comes before subtraction and addition. First compute 108 / 9 = 12. The expression becomes 21 – 12 + 3. Working left to right, 21 – 12 = 9. Then 9 + 3 = 12. So the expression equals 12.

Let length = L = 27 m, breadth = B = 19 m, rate = Rs 8 per metre. Perimeter to be fenced = 2 x (L + B) = 2 x (27+19) = 92 m. Cost of fencing = perimeter x rate = 92 x 8 = Rs 736.