Inspector of Housing - 15 November 2025 examination (April 2025 cycle) — question paper

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Inspector of Housing - 15 November 2025 examination (April 2025 cycle)

Paper #3029 · 15-11-2025 · General English, General Knowledge & Aptitude and Mathematics · 118 reviewed questions · Showing 81–118 of 118

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Original 150-question Series I PDF with its matching official final answer key. Complete study explanation coverage: all 150 original source positions, comprising 117 individually displayed question cards plus numbered study explanations for the remaining 33 source positions. The numbered supplement is not additional automatically scored quiz cards. 150 source positions have reviewed/key-aligned answers under the official-key scoring policy; zero are withheld from scoring for independent editorial reservations. Technical alternatives remain labelled learning notes. Original wording, choices, passages, tables and diagrams remain available in the PDF. Recruitment cycle and examination date remain distinct.

Paper #3029, Series I, Q111: Evaluate (3+2 sqrt(2)) to power-3 plus (3-2 sqrt(2)) to power-3.
1. 198
2. 180
3. 108
4. 189
Paper #3029, Series I, Q112: If x:y=3:1, find (x cubed-y cubed):(x cubed+y cubed).
1. 13:14
2. 14:13
3. 10:11
4. 11:10
Paper #3029, Series I, Q113: Three years ago, the average age of A and B was18. With C joining now, the average is22. Find C's current age.
1. 24 years
2. 29 years
3. 32 years
4. 33 years
Paper #3029, Series I, Q114: A completes a task in10 days and B in20. They work together for5 days. What fraction remains?
1. 3/4
2. 1/4
3. 4/3
4. 3/20
Paper #3029, Series I, Q115: A person goes A to B at12 km/h and returns at18 km/h. Find the average speed for the entire journey.
1. 15 km/h
2. 15.5 km/h
3. 14.4 km/h
4. 16 km/h
Paper #3029, Series I, Q116: A train travels at 45 km/hr. How many seconds does it take to cover 4/5 km?
1. 45 sec
2. 42 sec
3. 46 sec
4. 64 sec
Paper #3029, Series I, Q117: A man travels at 30 km/hr upstream and 34 km/hr downstream. Find his speed in still water.
1. 38 km/hr
2. 32 km/hr
3. 36 km/hr
4. 40 km/hr
Paper #3029, Series I, Q118: The interior angles of a regular polygon sum to 1080 degrees. How many sides does it have?
1. 6
2. 8
3. 10
4. 12
Paper #3029, Series I, Q119: A circular field has area 13.86 hectares. Find the fencing cost at Rs 4.40 per metre.
1. Rs 5,808
2. Rs 4,803
3. Rs 6,201
4. Rs 4,812
Paper #3029, Series I, Q120: Two cylinders have radii in the ratio 2:3 and heights in the ratio 5:4. Find their volume ratio.
1. 9:5
2. 5:6
3. 10:6
4. 5:9
Paper #3029, Series I, Q121: Four consecutive even numbers sum to 748. Find the smallest.
1. 188
2. 186
3. 184
4. 174
Paper #3029, Series I, Q122: Which is greatest?
1. 0.9
2. 0.(9)
3. 0.0(9)
4. 0.(09)
Paper #3029, Series I, Q123: Find the greatest number dividing 122 and 243 with remainders 2 and 3 respectively.
1. 12
2. 24
3. 30
4. 120
Paper #3029, Series I, Q124: Find the HCF of 2/3, 4/5 and 6/7.
1. 48/105
2. 2/105
3. 1/105
4. 24/105
Paper #3029, Series I, Q126: A number is increased by 10%, then decreased by 10%. What is the net change?
1. Does not change
2. Decreases by 1%
3. Increases by 1%
4. Decreases by 0.1%
Paper #3029, Series I, Q127: How far above cost price must an article be marked to gain 33% after a 5% discount?
1. 20%
2. 40%
3. 60%
4. 65%
Paper #3029, Series I, Q128: Six litres of mixture contain 75% milk. How much pure milk must be added to make it 90% milk?
1. 25 litres
2. 40 litres
3. 9 litres
4. 20 litres
Paper #3029, Series I, Q129: Find compound interest on Rs 10,000 for two years at 4% per annum, compounded half-yearly.
1. Rs 636.80
2. Rs 824.32
3. Rs 912.86
4. Rs 828.82
Paper #3029, Series I, Q131: A circle has radius 6 cm. A tangent is drawn from a point 10 cm from its centre. Find the tangent length.
1. 8 cm
2. 5 cm
3. 4 cm
4. 7 cm
Paper #3029, Series I, Q132: A cycle is marked at Rs 1,100. A 10% discount still gives the seller a 10% profit. Find cost price.
1. Rs 1,100
2. Rs 900
3. Rs 1,089
4. Rs 891
Paper #3029, Series I, Q133: A hollow spherical metal ball has external diameter 6 cm and thickness 1/2 cm. Find its metal volume in cm³.
1. 41 2/3
2. 37 2/3
3. 47 2/3
4. 40 2/3
Paper #3029, Series I, Q134: Three adjacent faces of a cuboid have areas p, q and r. Find its volume.
1. sqrt(pqr)
2. pqr
3. p²q²r²
4. sqrt(p²+q²+r²)
Paper #3029, Series I, Q135: On a map, 0.5 cm represents 100 km. What distance does 2.4 cm represent?
1. 4800 km
2. 48 km
3. 480 km
4. 80 km
Paper #3029, Series I, Q136: An angle has a supplement three times as large as its complement. Find the angle.
1. 45 degrees
2. 75 degrees
3. 60 degrees
4. 30 degrees
Paper #3029, Series I, Q137: A vertical tower is 20 m high and its shadow is 20sqrt(3) m. What is the angle of elevation of the sun?
1. 30 degrees
2. 45 degrees
3. 60 degrees
4. 90 degrees
Paper #3029, Series I, Q138: Find the arithmetic mean of 52, 48, 56, 42 and 35.
1. 46.5
2. 47.7
3. 47.6
4. 46.6
Paper #3029, Series I, Q139: What is the probability of a multiple of 3 when one die is thrown once?
1. 1/3
2. 3/4
3. 1/9
4. 1/4
Paper #3029, Series I, Q140: Neeraj is as much younger than Gopal as he is older than Deepak. Gopal and Deepak have a combined age of 58. How old is Neeraj?
1. 29 years
2. 28 years
3. 31 years
4. 32 years
Paper #3029, Series I, Q141: Money is divided among A, B, C and D in the ratio 7:6:3:5. B gets Rs270 more than C. Find D's share.
1. Rs250
2. Rs350
3. Rs450
4. Rs455
Paper #3029, Series I, Q142: Simplify (4/15) of (5/8) x 6 + 15 - 10.
1. 6
2. 3
3. 5
4. 4
Paper #3029, Series I, Q143: Which is greatest: 3^50, 4^40, 5^30 or 6^20?
1. 3^50
2. 4^40
3. 5^30
4. 6^20
Paper #3029, Series I, Q144: A store offers Buy 4 get 1 free. What is the net percentage discount?
1. 10%
2. 15%
3. 20%
4. 23%
Paper #3029, Series I, Q145: In 5, 8, 15, 20, 29, 40, 53, one number is wrong. Which is it?
1. 15
2. 20
3. 29
4. 40
Paper #3029, Series I, Q146: A and B have total salary Rs1500. A spends 90% and B 80%. Their savings are in the ratio 3:4. Find their salaries.
1. Rs900, Rs600
2. Rs600, Rs900
3. Rs800, Rs600
4. Rs700, Rs900
Paper #3029, Series I, Q147: There are Z students in a class and X are boys. What fraction of the class consists of girls?
1. X/Z
2. Z/X
3. 1-X/Z
4. X/Z-1
Paper #3029, Series I, Q148: 84 Maths, 90 Physics and 120 Chemistry books are stacked topic-wise. How many books should each stack contain for equal-height stacks?
1. 12
2. 18
3. 6
4. 21
Paper #3029, Series I, Q149: Simplify sqrt(5 + sqrt(11 + sqrt(19 + sqrt(29 + sqrt(49))))).
1. 3
2. 2
3. 4
4. 6
Paper #3029, Series I, Q150: Sarita and Julie walk in opposite directions from the same place at 2 km/h and 2.5 km/h. When will they be 18 km apart?
1. 4.0 hours
2. 4.5 hours
3. 5.0 hours
4. 4.8 hours

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