SSC SI (CAPF/Delhi Police) Exam 2016 Quantitative Aptitude Solved Paper

1. A trader lists his article 20% above the cost price and allows a discount of 10% on cash payment. His gain per cent is–
(A) 6% (B) 5% (C) 8% (D) 10% (Ans : C)

2. A chord of length 24 cm is at a distance of 5 cm form the centre of a circle. The length of the chord of the same circle which is at a distance of 12 cm from the centre is– 
(A) 12 cm (B) 11 cm (C) 17 cm (D) 10 cm (Ans : D)

3. A sum of Rs. x was put at simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs. 300 more. The value of 4x is– 
(A) Rs. 16,000 (B) Rs. 24,000 (C) Rs. 20,000 (D) Rs. 36,000 (Ans : C)

4. If 3^{x + y} = 81 and 81^{x – y} = 3, then the value of x/y is– 
(A) 17/15 (B) 15/34 (C) 15/17 (D) 17/30 (Ans : A)

5. The average monthly income of A and B is Rs. 15,050, the average monthly income of B and C is Rs. 15,350 and the average income of A and C is Rs. 15,200. The monthly income of A is– 
(A) Rs. 14,900 (B) Rs. 15,500 (C) Rs. 15,900 (D) Rs. 15,200 (Ans : A)

6. If p, q, r are all real numbers, then (p – q)³ + (q – r)³ + (r – p)³ is equal to– 
(A) (p – q) (q – r) (r – p) (B) 1 (C) 3(p – q) (q – r) (r – p) (D) 0 (Ans : C)

7. A number is increased by 15% and then decreased by 25% and the number becomes 22 less than the original number. The original number is– 
(A) 140 (B) 160 (C) 100 (D) 120 (Ans : B)

8. By selling an article at 3/4 of selling price, a trader incurred a loss of 10%. The profit/loss percentage, when it is sold at the original selling price, is– 
(A) 20% profit (B) 120% profit (C) 20% loss (D) 32.5% loss (Ans : A)

9. The average age of a class is 15.8 years. The average age of the boys in the class in 16.4 year while that of the girls is 15.4 years. The ratio of boys to girls in the class is– 
(A) 3 : 4 (B) 2 : 3 (C) 1 : 2 (D) 3 : 5 (Ans : B)

10. A man travelled a distance of 72 km in 12 hours. He travelled partly on foot at 5 km/hour and partly on bicycle at 10 km/hour. The distance travelled on foot is– 
(A) 46 km (B) 50 km (C) 48 km (D) 52 km (Ans : C)

11. If 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days, then 10 women will complete it in– 
(A) 40 days (B) 45 days (C) 50 days (D) 35 days (Ans : A)

12. A can is full of a mixture of two liquids A and B in the ratio of 7 : 5. When 9 litres of mixture are drawn off from the can and replaced by the same quantity of liquid B, the ratio of A and B in the can becomes 7 : 9. The capacity of the can is– 
(A) 10 litres (B) 20 litres (C) 21 litres (D) 36 litres (Ans : D)

13. A sum of money placed at compound interest double itself at 2 years. The year it will take to amount 4 times itself is– 
(A) 3 b) 4 (C) 6 (D) 8 (Ans : B)

14. From the top and bottom of a straight hill the angle of depression and elevation of the top of a pillar of 10 m. height are observed to be 60° and 30° respectively. The height (in metres) of the hill is– 
(A) 30 (B) 60 (C) 40 (D) 80 (Ans : C)

Direction (Q. 15-19) : Study the following table which shows the amount of money invested (Rupees in crore) in the core infrastructure areas of two districts, A and B of a State, and answer the given Questions.

Core Area	District A		District B
	1995	1996	1995	1996
Electricity  Chemical  Thermal  Solar  Nuclear	815.2  389.5  632.4  468.1  617.9	1051.2  476.7  565.9  589.6  803.1	2065.8  745.3  1232.7  1363.5  1674.3	2365.1  986.4  1026.3  1792.1  2182.1
Total	2923.1	3489.5	7081.6	8352.0

15. By approximately what per cent was the total investment in the two districts A and B more in 1996 as compared to 1995? 
(A) 14% (B) 21% (C) 24% (D) 18% (Ans : D)

16. The total investment in electricity and thermal energy in 1995, in these two districts A and B formed approximately what per cent of the total investment made in that year? 
(A) 55% (B) 41% (C) 52% (D) 47% (Ans : D)

17. In district B, the investment in which area in 1996 did show the highest percentage increase over the investment in that area in 1995? 
(A) Electricity (B) Solar (C) Nuclear (D) Chemical (Ans : D)

18. Approximately how many times was the total investment in 1995 and 1996 in district B was that of total investment of district A in the same years? 
(A) 2.8  (B) 1.9 (C) 2.4 (D) 1.7 (Ans : C)

19. If the total investment in district B shows the same rate of increase in 1997, as it had shown from 1995 to 1996, what approximately would be the total investment in B in 1997? 
(A) Rs. 9,170 crore (B) Rs. 8,540 crore (C) Rs. 9,850 crore (D) Rs. 10,020 crore (Ans : C)

20. A man sells an article t 5% above the cost price. If he had bought it at 5% less than what he paid for it and sold it for Rs. 2 less, he would have gained 10%. The cost price of the article is– 
(A) Rs. 250 (B) Rs. 400 (C) Rs. 200 (D) Rs. 350 (Ans : B)

21. The radii of the base of a cylinder and a cone are equal and their volumes are also equal. Then the ratio of their heights is– 
(A) 1 : 4 (B) 2 : 1 (C) 1 : 2 (D) 1 : 3 (Ans : D)

22. If a person spends 40% of his income on food, 20% on house rent and 70% of the remaining on children's education, then the percentage of his income left is– 
(A) 8% (B) 10% (C) 12% (D) 6% (Ans : C)

23. If tan θ + sec θ = 2, then the value of tan θ is– 
(A) 2/3 (B) 3/5 (C) 3/4 (D) 4/5 (Ans : C)

24. Let a be a positive integer. When 89 and 125 are divided by a, the remainders are 4 and 6 respectively. Then the value of a is– 
(A) 15 (B) 17 (C) 9 (D) 7 (Ans : B)

25. Points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction, They meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the faster car? 
(A) 80 km/hour (B) 40 km/hour (C) 70 km/hour (D) 60 km/hour (Ans : D)

26. A cylindrical rod of radius 30 cm and length 40 cm is melted and made into spherical balls of radius 1 cm. The number of spherical balls is– 
(A) 40000 (B) 27000 (C) 36000 (D) 90000 (Ans : B)

27. A merchant purchases a wrist watch for Rs. 1,200 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. The list price of the watch is– 
(A) Rs. 1,400 (B) Rs. 1,600 (C) Rs. 1,800 (D) Rs. 1,200 (Ans : B)

28. The sum of two numbers is 15⅓ and their difference is 4⅔. The product of the numbers is– 
(A) 53 ⅓ (B) 60 (C) 48⅔ (D) 50 (Ans : A)

29. A and B can separately finish a piece of work in 20 days and 15 days respectively. They worked together for 6 days, after which B was replaced by C. If the work was finished in next 4 days, then the number of days in which C alone could do the work is– 
(A) 40 days (B) 60 days (C) 30 days (D) 50 days (Ans : A)

30. The ratio of the radii of two cylinders is 2 : 1 and their heights are in the ratio 3 : 2. Then their volumes are in the ratio– 
(A) 6 : 1 (B) 4 : 3 (C) 6 : 5 (D) 3 : 1 (Ans : A)

SSC SI (CAPF/Delhi Police) Exam 2016 Reasoning Solved Question Paper

Direction (Q. 1-6) : Find the odd word/ letters/ number pair from the given alternatives. 

1. Find the odd number pair– 
(A) 183 – 54 (B) 99 – 63 (C) 108 – 97 (D) 243 – 132 (Ans : C)

2. Find the odd number– 
(A) 495 (B) 583 (C) 286 (D) 166 (Ans : D)

3. Find the odd word– 
(A) Air Marshal (B) Wing Commander (C) Captain (D) Group captain (Ans : C)

4. Find the odd letters– 
(A) D F I M (B) N P S W (C) K M P T (D) D F O U (Ans : D)

5. Find the odd word– 
(A) Rectangle (B) Rhombus (C) Square (D) Kite (Ans : C)

6. Find the odd letters– 
(A) L R X (B) I N U (C) A G M (D) M S Y (Ans : B)

7. Sanjith faces towards north turning to his right, he walks 10m. He then turn to left and walks 30 m. He moves 25 m to his right and again to right through 50 m. Finally he turns to right and moves 40 m. In which direction is he now from his starting point? 
(A) South-East (B) North-East (C) South-West (D) North-West (Ans : C)

Directions (Q. 8-13) : Select the related word/letters/number from the given alternatives. 

8. Nurture : Neglect : : Denigrate : ? 
(A) Recognise (B) Reveal (C) Extol (D) Reply (Ans : C)

9. 43 : 57 : : 111 : ? 
(A) 136 (B) 135 (C) 133 (D) 134 (Ans : C)

10. Modesty : Arrogance : : ? 
(A) Speak : Lecture (B) Obese : Fat (C) Ship : Fleet (D) Debility : Strength (Ans : D)

11. 23 : 0827 : : 45 : ? 
(A) 64125 (B) 12025 (C) 12125 (D) 08125 (Ans : A)

12. AZBY : CXDW : : EVFU : ? 
(A) FUVE (B) BXWD (C) GTHS (D) ZYEU (Ans : C)

13. ABDG : ZYWT : : BCEH : ? 
(A) YXVS (B) QPRU (C) YXTS (D) SVXY (Ans : A)

Directions (Q. 14-15) : From the given alternative words, select the word which cannot be formed using the letters of the given word. 

14. PERAMBULATOR 
(A) MARBLE (B) RAMPANT (C) LABOUR (D) RAMBLE (Ans : B)

15. ORGANISATION 
(A) ORATION (B) ORGAN (C) ORGANISE (D) NATION (Ans : C)

16. If 678 = 83, 476 = 75 and 567 = 80, what is 369 = ? 
(A) 40 (B) 99 (C) 18 (D) 72 (Ans : A)

17. Which numbers complete the series? 
3 1 5 3 _ 5 9 _ 11 
(A) 7, 7 (B) 7, 6 (C) 8, 7 (D) 6, 6 (Ans : A)

18. In a peculiar mathematical operation, plus means multiplication, minus means plus, divided means minus and multiplication means sum of digit of two numbers. Follow these rules and solve the following example– 
(6 × 7) – (8 × 9) – (10 × 11) = ? 
(A) 51 (B) 33 (C) 224 (D) 04 (Ans : A)

Direction (Q. 19-20) : A series is given, with one term missing. Choose the correct alternative form the given options that will complete the series. 

19. 3, 17, 45, 87, …?… 
(A) 153 (B) 143 (C) 123 (D) 183 (Ans : B)

20. AZWD, CXUF, …?..., GTQJ 
(A) EVSH (B) EUTH (C) EVPI (D) EUSH (Ans : A)

21. Grouping of word are given. Choose the next words in the series from the given options. 
AFGHAN, INDEFINITY, SYNOPSIS, STUPENDOUS, BURST 
(A) COMPANION (B) GLACIAL (C) RESCRIPT (D) HIJACKER (Ans : D)

22. If BHASHA is coded as 154754, BRAIN is coded as 13408, AHINSA will be coded as– 
(A) 450874 (B) 450847 (C) 405847 (D) 458074 (Ans : A)

23. In a certain language GAMBLE is coded as FBLCKF, how is FLOWER coded in that code? 
(A) GKPVFQ (B) GMPVDS (C) EMNXDS (D) EKNVDQ (Ans : C)

24. A is elder to B while C and D are elder to E who lies between A and C. If C is elder to B, who is the youngest? 
(A) A (B) C (C) D (D) B (Ans : D)

25. Mona is 6 years younger to her husband and he is 5 times as old as his daughter Rina. If Rina was 5 years old 3 years back, what is the present age of Mona? 
(A) 34 (B) 30 (C) 35 (D) 40 (Ans : A)

26. X is sister of Y. Y is brother of Z. Z is husband of P. O is father of Y. How is P related to O? 
(A) Uncle (B) Daughter (C) Sister (D) Daughter-in-law (Ans : D)

27. Indu starts travelling towards east and stops after 35 km and turns right and walks another 15 km and again turns right and walk 15 km and then stop. What is the minimum distance Indu has to walk to reach the starting point? 
(A) 25 km (B) 30 km (C) 35 km (D) 20 km (Ans : A)

28. Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? 
…qpx…rq…xxr…pxx…qp…x 
(A) pxrqxr (B) rsqprx (C) rxpqrx (D) xrprqx (Ans : C) 

SSC SI (CAPF/Delhi Police) Exam 2016 English Comprehension Solved Paper

Directions (Q. 1 to 5) : Choose the word opposite in meaning to the given word and mark it in the answer sheet. 

1. Fortify 
(A) strengthen 
(B) support 
(C) undermine 
(D) intensify 
(Ans : C)

2. Misanthropist 
(A) philanthropist 
(B) zealot 
(C) pragmatist 
(D) pedant 
(Ans : A)

3. Unapproachable 
(A) unclear 
(B) accessible 
(C) casual 
(D) withdrawn 
(Ans : B)

4. Ostracize 
(A) crucify 
(B) discard 
(C) patronize 
(D) shun 
(Ans : C)

5. Abstain 
(A) repel 
(B) indulge 
(C) disgrace 
(D) dismiss 
(Ans : B)

Directions (Q. 6 to 10) : Four words are given in each question, out of which only one word is correctly spelt. Find the correctly spelt word and mark your answer in the answer sheet. 

6. Find the correctly spelt word. 
(A) Conteinment 
(B) Confinment 
(C) Conceilment 
(D) Consignment 
(Ans : D)

7. Find the correctly spelt word. 
(A) Obeisence 
(B) Perservance 
(C) Turbulance 
(D) Surveillance 
(Ans : D)

8. Find the correctly spelt word. 
(A) Congrruous 
(B) Auspiscious 
(C) Audacious 
(D) Hillarious 
(Ans : C)

9. Find the correctly spelt word. 
(A) Dysfunction 
(B) Dastitution 
(C) Divienation 
(D) Divarsion 
(Ans : A)

10. Find the correctly spelt word. 
(A) Hygeinic 
(B) Hygienic 
(C) Hyigeinic 
(D) Hyegienic 
(Ans : B)

Directions (Q. 11 to 15) : Some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error and blacken the circle corresponding to the appropriate option. If a sentence is free from error, blacken the circle corresponding to 'No Error' in the answer sheet. 

11. The car that he is using these days is belonging to his employer– 
(A) The car that he is using 
(B) to his employer 
(C) these days is belonging 
(D) No error 
(Ans : C)

12. Three years have elapsed since I had gone to visit my aunt in the city– 
(A) visit my anut in the city 
(B) since I had gone to 
(C) No error 
(D) Three years have elapsed 
(Ans : B)

13. I reached two hours before he had came– 
(A) he had came 
(B) I reached 
(C) two hours before 
(D) No error 
(Ans : A)

14. He needs not have shouted at me that way– 
(A) at me that way 
(B) not have shouted 
(C) No error 
(D) He needs 
(Ans : D)

15. He assured me that he will return in an hour– 
(A) in an hour 
(B) that he will return 
(C) No error 
(D) He assured me 
(Ans : C)

Directions (Q. 16 to 20) : Read the passage carefully and choose the best answer to each question out of the four alternatives and mark it in the answer sheet. 
Passage The destructive process of Mountain Top Removal mining (MTR) has caused permanent damage to Appalachia. Although the law requires that mining companies restore the mountaintops after the mining has been completed, the 1.5 million acres of mountains that have already been removed cannot be re-grown, re-built, or replaced. The companies do secure the rock formations to prevent erosion and landslides, but their efforts cannot recreate the once beautiful mountain landscape. Furthermore, while companies are usually vigilant about securing the rock formations, they seem less interested in restorinig the native vegetation. MTR operations clear enormous tracts of forest. Environmental hazards are not only created in preparing a mountaintop for mining, they also continue once the coal has been extracted. After the blast, the excess mountaintop – which miners refer to as 'overburden' – is usually dumped into nearby valleys or streams. The overburden contains a variety of toxic substances, including explosive residue, silica and coal dust.

16. After the MTR operation, the mining companies– 
(A) beautify the mountains 
(B) replace the mountaintops 
(C) secure rock formations to prevent erosion 
(D) restore native vegetation
 (Ans : C)

17. The word opposite in meaning to 'Vigilant' is– 
(A) careless 
(B) annoyed 
(C) displeased 
(D) lenient 
(Ans : A)

18. In the Appalachian region MTR has caused– 
(A) landslides 
(B) permanent beautification 
(C) floods 
(D) widespread damage 
(Ans : D)

19. The term "overburden" means– 
(A) weeds planted by mining companies 
(B) excess mountaintop left after the extraction of coal through the blast 
(C) debris from landslides 
(D) remnants of natural forests 
(Ans : B)

20. MTR operations cause environmental hazards because– 
(A) it causes landslides 
(B) it causes explosion 
(C) it destroys natural vegetation 
(D) mountaintops dumped in valleys & streams contain toxic substance 
(Ans : D)

Directions (Q. 21 to 25) : A sentence/a part of the sentence is underlined. Below are given alternatives to the underlined part which may improve the sentence. Choose the correct alter- native. In case no improvement is required, choose "No Improvement" option. 

21. Try to lower the amount of fat in your diet– 
(A) Lose 
(B) No improvement 
(C) Cut 
(D) Reduce 
(Ans : D)

22. You should cut off on the amount of cigarettes you smoke– 
(A) cut out 
(B) cut down 
(C) No improvement 
(D) cut up 
(Ans : B)

23. You must accustom yourself with new ideas– 
(A) No improvement 
(B) accustomed yourself with 
(C) get accustom to 
(D) accustom yourself to 
(Ans : D)

24. I contradicted against him– 
(A) No improvement 
(B) contradicted with 
(C) contradicted 
(D) contradicted over 
(Ans : C)

25. No sooner than it stopped raining, the children went out– 
(A) No improvement 
(B) had it stopped raining than 
(C) did it stopped raining than 
(D) did it stop raining than 
(Ans : D)

Directions (Q. 26 to 30) : Out of the four alternatives, choose the one which best expresses the meaning of the given word and mark it in the answer sheet. 

26. Synopsis 
(A) preview 
(B) discussion 
(C) summary 
(D) report 
(Ans : C)

27. Contentious 
(A) extravagant 
(B) precious 
(C) benevolent 
(D) controversial 
(Ans : D)

28. Conjecture 
(A) strife 
(B) guess 
(C) critic 
(D) gathering 
(Ans : B)

29. Brazen 
(A) shameless 
(B) trashy 
(C) modest 
(D) melodramatic 
(Ans : A)

30. Jinx 
(A) spell 
(B) taunt 
(C) juncture 
(D) tour 
(Ans : A)

Directions (Q. 31 to 35) : Out of the four alternatives, choose the one which can be substituted for the given words/sentences and indicate it by blackening the appropriate circle in the answer sheet. 

31. Scientific study of Earthquakes– 
(A) Geography 
(B) Seismology 
(C) Astrology 
(D) Anthropology 
(Ans : B)

32. The study of growing garden plants– 
(A) nomenclature 
(B) nursery 
(C) orchard 
(D) horticulture 
(Ans : D)

33. One who copies from other writers– 
(A) Offender 
(B) Plagiarist 
(C) Contender 
(D) Antagonist 
(Ans : B)

34. The belief that God is in everything, including nature– 
(A) Naturalism 
(B) Pantheism 
(C) Polytheism 
(D) Mysticism 
(Ans : B)

35. Gradually advanced– 
(A) evaded 
(B) evoluted 
(C) advantaged 
(D) evolved 
(Ans : D)

Directions (Q. 36-40) : Read the passage carefully and choose the best answer to each question out of the four alternatives and mark it in the answer sheet. 
Passage Flattery means 'praising insincerely in order to please'. Every flatterer says words in which he himself does not believe. While flattering he is insincere to the man he is praising and to himself. In doing so he does not mind if he corrupts the minds of those whom he flatters. 
Flattery is immoral because it stains the human conscience. It creates a world of falsehood and thus an outrage of man's sense of decency and gentlemanly behaviour. 
A man who feels happy when flattered lives in a fool's paradise. Flattery is the ready weapon of the opportunist. This weapon easily conquers the weak willed man. It works on the general weakness of human beings . We all love to be told what we are not rather than what we are. Flattery is equally bad for him who is flattered and for him who flatters. 
Flattery deceives us by giving us false notions about ourselves. By falling a victim to it, we show lack of character. By accepting flattery we make ourselves small beings. It is an evil which ruins social and moral values by claiming what is not rightfully its own. It thrives on corruption and leads to human bankruptcy. It is thus the greatest of disease which can plague humanity. 

36. How does the weapon of flattery work? 
(A) A man does not like it 
(B) It conquers the man with a weak will 
(C) A man feels sad 
(D) It conquers the man with a strong will 
(Ans : B)

37. 'Thrives' in the passage means– 
(A) collects 
(B) provides 
(C) fills 
(D) prospers 
(Ans : D)

38. How does flattery deceive us? 
(A) It gives us false ideas about ourselves 
(B) It makes us feel indecent 
(C) It makes us bankrupt 
(D) It makes us more corrupt 
(Ans : A)

39. Flattery can stain the– 
(A) human conscience 
(B) heart 
(C) emotion 
(D) mind 
(Ans : A)

40. Flattery means– 
(A) insincere praise in order to please 
(B) claiming what is not ours 
(C) being anti-social 
(D) being immoral 
(Ans : A)

Directions (Q. 41-45) : Four alternatives are given for the Idiom/Phrase underlined. Choose the alternative which best expresses the meaning of the Idiom/Phrase and mark it in the answer sheet. 

41. To roll out the red carpet– 
(A) to give a warning signal 
(B) to give a grand welcome 
(C) to buy a gift 
(D) to decorate the room 
(Ans : B)

42. To have an axe to grind– 
(A) To have a selfish end to serve 
(B) To fail to arouse interest 
(C) To criticise someone 
(D) To work for both sides 
(Ans : A)

43. To put his foot down– 
(A) Withdraw 
(B) Concede 
(C) Not to yield 
(D) Risign 
(Ans : C)

44. Have a foot in the grave– 
(A) be afraid to die 
(B) be close to death 
(C) have no interest in life 
(D) have an incurable disease 
(Ans : B)

45. A hornet's nest– 
(A) a dilemma 
(B) among thorns 
(C) a comfortable position 
(D) an unpleasant situation 
(Ans : D)

Directions (Q. 46-50) : Sentences given with blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four and indicate it by blackening the appropriate circle in the answer sheet. 

46. The demonstration passed off without– 
(A) incident 
(B) incidence 
(C) accident 
(D) coincidence 
(Ans : B)

47. As the driver swerved violently at the turning, the wheel came off, as it was already– 
(A) lost 
(B) loose 
(C) loss 
(D) lose 
(Ans : B)

48. His profession is teaching but his ………. is photography. 
(A) vocation 
(B) vocative 
(C) vacation 
(D) avocation 
(Ans : D)

49. He quarreled with his boss, ………. of the consequences. 
(A) heedless 
(B) devoid 
(C) weary 
(D) confident 
(Ans : A)

50. Some verbs need a ………. to convey the full meaning. 
(A) complement 
(B) component 
(C) complimentary 
(D) compliment 
(Ans : A)