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NSI Exam Question Solution 2019 | Prime Minister Office Job Exam Solution PDF

National Security Intelligence NSI Job Exam Question Solution 2019. Prime Minister Office Job Exam held on today. The NSI Job Exam 2019 has held on 28 September 2019. So we came back with NSI question solutions 2019 and NSI Job Exam MCQ Question and Answer PDF Download for you. NSI Assistant Director Exam Question Solution is here. You can get NSI exam all question solution from our bdgovtjob.net. You can also obtain NSI Junior Field Officer job exam question solution, NSI office assistant cum computer typist exam question solution 2019 in our website. nsi written exam question 2019, national security intelligence nsi circular 2019, nsi assistant director question solution, nsi junior field officer question pdf, nsi previous question pdf, nsi question bank pdf download, nsi exam question 2019 and nsi previous question & answer 2019 are search options for NSI Exam Question Solution 2019.  So keep reading this full article about NSI question solution 2019.

Important Date and link of the NSI R equirement 2019

Nsi circular published on 24 july 2019., nsi application start date is 26 july 2019., nsi application last date is 26 august 2019., nsi online application link is http://nsi.teletalk.com.bd..

NSI Admit Card Download Link: http://nsi.teletalk.com.bd./admitcard/index.php

NSI Exam Center link: http://nsi.teletalk.com.bd./options/splog.php

National Security Intelligence NSI job circular PDF Downlaod

Click here to check nsi exam center and seat plan 2019, national security intelligence nsi exam question solution 2019.

Are you looking for Prime minister office exam question solution 2019? Then you are in right place to get NSI Job Exam Solution of today exam. You know National Security Intelligence NSI published a attractive job circular for 1394 vacant posts. Today was first job examination of NSI Job Circular 2019. The exam was for Assistant Direction Position. The exam was start on 3.30 PM and end on 4.30 PM. There was total 80 questions in the NSI Job Exam of 28 September 2019. The NSI exam held on MCQ question system. We already solve the Assistant Director post exam MCQ all question and publish the MCQ question solution here. To get NSI MCQ Question and Solution please keep reading this article regarding NSI exam question solution 2019.

Read More: National Security Intelligence NSI Job Circular 2019 – Admit Card- Exam Date

Prime Minister Office Job Exam Solution 2019

Prime minister office Exam Question solution and PMO Exam all question Solution 2019 has been published by authority on our website. Prime Minister Office Assistant Director Exam time was 3:30 Pm to 4:30 PM. The next NSI Job Exam is for Office Assistant cum Computer Typist. The Office Assistant cum computer typist exam date is 04 October 2019. NSI Wireless Operator Exam will be held on 04 October 2019. NSI Steno typist cum computer operator exam date is 04 October 2019. The Steno typist cum computer operator Exam MCQ Question solution will be available here on time. NSI Office Assistant Exam date is 04 October 2019 and the exam will be held from 4:00 PM to 5:00 PM on the day. Office Assistant Exam MCQ Question Solution 2019 will be publish in this page. NSI Field Officer exam will be held on 05 October 2019. NSI Field Officer MCQ Question Solution will be published here on time. So read this full page about NSI Exam Question Solution 2019. We will provide NSI all exam MCQ questions and solution on our www.bdgovtjob.net. So stay with us.

See or Download NSI Job Exam MCQ Question and Solution 2019

NSI Exam MCQ All Question Solution 2019 are given below. Please check the National Security Intelligence Question Solution and NSI MCQ Question Solution from below.

NSI Exam Question Solution 2019

NSI Exam Question Solution 2019 – All Question with Answer

1. Ans: 2. Ans: 3. Ans: 4. Ans: 5. Ans: 6. Ans: 7. Ans: 8. Ans: 9. Ans: 10. Ans:

11. Ans: 12. Ans: 13. Ans: 14. Ans: 15. Ans: 16. Ans: 17. Ans: 18. Ans: 19. Ans: 20. Ans:

21. Ans: 22. Ans: 23. Ans: 24. Ans: 25. Ans: 26. Ans: 27. Ans: 28. Ans: 29. Ans: 30. Ans:

31. Ans: 32. Ans: 33. Ans: 34. Ans: 35. Ans: 36. Ans: 37. Ans: 38. Ans: 39. Ans: 40. Ans:

41. Ans: 42. Ans: 43. Ans: 44. Ans: 45. Ans: 46. Ans: 47. Ans: 48. Ans: 49. Ans: 50. Ans:

51. Ans: 52. Ans: 53. Ans: 54. Ans: 55. Ans: 56. Ans: 57. Ans: 58. Ans: 59. Ans: 60. Ans:

61. Ans: 62. Ans: 63. Ans: 64. Ans: 65. Ans: 66. Ans: 67. Ans: 68. Ans: 69. Ans: 70. Ans:

71. Ans: 72. Ans: 73. Ans: 74. Ans: 75. Ans: 76. Ans: 77. Ans: 78. Ans: 79. Ans: 80. Ans:

81. Ans: 82. Ans: 83. Ans: 84. Ans: 85. Ans: 86. Ans: 87. Ans: 88. Ans: 89. Ans: 90. Ans:

91. Ans: 92. Ans: 93. Ans: 94. Ans: 95. Ans: 96. Ans: 97. Ans: 98. Ans: 99. Ans: 100. Ans:

You can check NSI All Exam Question Solution 2019 form here.

Assistant Director Exam MCQ Question Solution 2019 Field Officer Exam Questions Solution 2019 Computer Technician Exam MCQ Question Solution 2019 Radio Technician Exam Question Solution 2019 Accountant cum Cashier Exam MCQ Question Solution 2019 Stenographer cum computer operator Exam Question Solution 2019 Computer operator Exam MCQ Question Solution 2019 Junior Field Officer Exam MCQ Question Solution 2019 Steno-typist cum computer operator Exam MCQ Question Solution 2019 Assistant Librarian Exam Question Solution 2019 Wireless Operator Exam MCQ Question Solution 2019 Office Assistant Exam MCQ Question Solution 2019 Office Assistant cum computer typist Exam MCQ Question Solution 2019 Laboratory Assistant Exam MCQ Question Solution 2019 Watcher Constable Exam MCQ Question Solution 2019 Darkroom Assistant Exam MCQ Question Solution 2019 Office Assistant Exam Question Solution 2019

NSI Exam Question Solution 2019 And NSI Job Exam Question Solution is available here. You can downloa pdf of NSI Previous Exam Question Solution 2019. NSI Assistant Director Exam Question Solution 2019 and  Previous Exam Question Solution of NSI on our bdgovtjob.net. NSI Previous Exam Question and Answer with Prime Minister Office Exam Question Solution 2019. We provide NSI MCQ Question and Answer of NSI Exam 2019. NSI Exam Question and answer sheet 2019 download from our BD Govt Job website bdgovtjob.net.

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Nsi question bank pdf (2013-2019) | এন এস আই ( nsi) প্রশ্নব্যাংক ও সমাধান pdf download.

nsi math question solution 2019

NSI Question Bank PDF | এন এস আই ( nsi) প্রশ্নব্যাংক Pdf Download 

যে সকল nsi প্রশ্নব্যাংক ও সমাধান এখানে পাবেন একনজরে দেখে নিন।

  • NSI Question Bank 2013-এন এস আই প্রশ্নব্যাংক ২০১৩
  • NSI Question Bank 2014-এন এস আই প্রশ্নব্যাংক ২০১৪
  • NSI Question Bank 2015-এন এস আই প্রশ্নব্যাংক ২০১৫
  • NSI Question Bank 2016-এন এস আই প্রশ্নব্যাংক ২০১৬
  • NSI Question Bank 2017-এন এস আই প্রশ্নব্যাংক ২০১৭
  • NSI Question Bank 2018-এন এস আই প্রশ্নব্যাংক ২০১৮
  • NSI Question Bank 2019-এন এস আই প্রশ্নব্যাংক ২০১৯

NSI Question Bank Solution PDF Download

 এন এস আই ( nsi) প্রশ্নব্যাংক pdf download , you might like.

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NSI Question Bank PDF Download । All Previous Year Question with Solution

NSI Question Bank PDF Download । All Previous Year NSI Question with Solution 2023 PDf is available on our website. Recently NSI Job Circular 2023 published. So  You need to download NSI Job Question Bank with solution 2023 PDF . So read the full post to download National Security Intelligent NSI Question Bank 2023 PDF.

NSI Question Bank PDF Download

In Bangladesh, unemployment problem is one of the greatest problems. Now- a -days, a large number of the active educated and skilled people in our country are unemployed. In other words, there are fewer jobs and facilities for work than there are people who can work and are ready to work. As a result, many people are unemployed and have to live in utter poverty. The government of our country is trying to solve the unemployment problem. But it is good news for the skillful students that many departments now seek in their advertisement the skillful students who have computer knowledge and efficiency of English.

NSI Admit Card & Exam Date 2023

Post Name And Vacancy

  •  Senior Instructor – 03
  • Assistant Director – 05
  •  Research Officer – 01
  • Field Officer – 26
  • Computer Technician – 01
  •  Computer Operator – 03
  • Steno Typist Cum Computer Operator – 06
  • Photographer – 04
  •  Wireless Operator – 21
  •  Office Assistant – 01
  •  Office Assistant Cum Computer Typist – 04
  • Laboratory Assistant – 03
  • Receptionist – 01
  • Field Staff (Watcher Constable) – 175
  • Darkroom Assistant – 01
  • Despues Rider – 01
  •  Office Sohayok – 33
  • Total Vacancy: 289

NSI Previous Question Bank

All MP3 Books PDF Download (MP3 সিরিজের সকল বই ডাউনলোড)

NSI Job Guide 

Here you will get nsi niyog sohaika and nsi job exam guide and NSI Job Guide PDF Download. From here you can download so read our post carefully.

  নিচের বাটন থেকে এনএসআই নিয়োগ গাইড ডাউনলোড করুন

 NSI গাইড বই PDF

Download NSI Last Year Question & Solution

NSI Question Bank PDF

NSI Admit Card 

 Download NSI Circular PDF

NSI Watcher Constable Previous Question

Exam is very important part in modern life but if it is job exam then its significance is very high to our unemployed person. We know that those of you who applied for the nsi watcher constable question bank now you are waiting for the exam it is natural don’t worry try for your exam according to the above syllabus and nsi watcher constable Question Bank pdf insallah you will success.

NSI Assistant Director Previous Question

Are you searching in the internet nsi assistant director previous question bank pdf? Yes it is a right place to get the entire nsi assistant director previous question bank. In this post we have tried to give all the previous question so see the previous question and take preparation.

NSI Field Officer Question Bank

My dear if you want to allow this exam you have to read more and more you know that without reading more you will not be successful. You know that you will have to attend in seventy marks question exam. From then there will be bangla, math, general knowledge, English and ICT so be prepared by our nsi field officer previous question bank pdf.

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  • PREVIOUS EXAM QUESTIONS
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NSI Junior Field Officer Exam Question Solution 2019 (Math Part) PDF-1

nsi math question solution 2019

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National Security Intelligence (NSI) Assistant Director Exam Question and Solution 2019

National Security Intelligence (NSI)

Bangla (Mark: 20*1.25=25)

  • কোন শব্দযুগল বিপরীতার্থক-? -উন্মীলন-নির্মীলন
  • কোনটি ফারসি উপসর্গ?- কম
  • রাতে তারা দেখা যায়-কোন কারকে কোন বিভক্তি?— অধিকরণে সপ্তমী
  • নাতিশীতোষ্ণ ” কোন সমাসের উদাহরণ ?-নঞ্ তৎপুরুষ।
  • অলুক তৎপুরুষ – সোনার তরী
  • কৃপাণ শব্দের অর্থ কি? উত্তর: তরবারি
  • ‘বাবা’ কোন ভাষার শব্দ?— তুর্কি।
  • মৌন শব্দের বিপরীত শব্দ- মুখর
  • Defendant শব্দের পরিভাষা- বিবাদী
  • হাড়ে বাতাস লাগা অর্থ- কোনটিই নয় ( অর্থ হচ্ছে স্বস্তি পাওয়া)
  • উত্থাপন সন্ধি বিচ্ছেদ- উৎ+স্থাপন
  • কুহক- এর স্ত্রীবাচক শব্দ? – কুহক িনী
  • স্বভাবতই মূর্ধন্য ণ হয় কোনটাতে?— বাণ
  • কাদনা> কান্না কোন ধরণের ধ্বনি পরিবর্তন? -সমীভবন
  • নিচের কোনটি সমাসের মাধ্যমে গঠিত?— আমরা
  • যুগসন্ধিক্ষণের কবি? – ঈশ্বরচন্দ্র গুপ্ত
  • “বার্ধক্য তাহাই যাহা পুরাতনকে, মিথ্যাকে, মৃত্যুকে আকড়াইয়া পরিয়া থাকে”-কোন রচনার অংশ? – যৌবনের গান
  • মানিক বন্দ্যোপাধ্যায় রচিত- অতসী মামী
  • রুপাই কোন কাব্যগ্রন্থ থেকে নেওয়া?— নকশী কাঁথার মাঠ
  • ঐতিহাসিক মৈমনসিংহ গীতিকার সংগ্রাহক মুলত কে?- চন্দকুমার দে

English (Mark: 20×1.25=25)

  • Ans: Raucous (Dulcet=Mellifluous=Melodious=Harmonious)
  • Ans: Average (Magnificent=Glorious=Splendid=Outstanding)
  • Ans: Limpid (Obscure=Ambiguous=Wispy=Vague)
  • Ans: Significant (Paltry=Negligible=Immaterial= Trivial)
  • Ans: Consent (Discord=Conflict=Friction=Dispute)
  • There is no mother but loves her child- No error
  • I need to buy some equipment- No error
  • I would rather die than bribe- No error
  • The picture has hung on the wall- (Incorrect: has)
  • I prefer tea than coffee in the morning- (Incorrect- than)
  • Cats and dogs- heavily
  • looked into- investigate
  • deny- refuse
  • for good- forever
  • out of order- None
  • দোয়েল চত্বরের স্থপতি কে?— আজিজুল জলিল পাশ
  • স্বাধীনতার ঘোষণাপত্র কোন সংশোধনী তে যোগ করা হয়?— পঞ্চদশ
  • বাংলাদেশ সবচেয়ে বেশি ঋণগ্রহন করে- আন্তর্জাতিক উন্নয়ন তহবিল (IDA) থেকে
  • বার্ডি ও বগি শব্দ দুটি কোন খেলার সাথে সম্পর্কিত?- গলফ
  • বাংলাদেশ পাট ও ছত্রাকের জীবনরহস্য উন্মোচনের স্বীকৃতি কোন সংস্থা থেকে লাভ করে?- WIPO
  • দেশের প্রথম তরলীকৃত প্রাকৃতিক গ্যাস (LNG) কোথায় স্থাপন করা হয়েছে?— মহেশখালী
  • সার্ক আবহাওয়া গবেষণা কেন্দ্র কোথায়? – ঢাকা
  • মূল্য সংযোজন কর দিবস- ১০ ডিসেম্বর ( ২০১৭ হতে পালিত হচ্ছে এই দিনে, আগে ছিল ১০ জুলাই)
  • আমাজন বনভূমি কোন ধরণের বনভূমি- ঘনবর্ষন বনাঞ্চল
  • সঙ্গবিধানের কত নম্বর অনুচ্ছেদে ধর্মীয় স্বাধীনতার অধিকার দেওয়া হয়েছে — ৪১
  • মিলোনেশিয়ার দেশ? — ফিজি
  • জি-৭ থেকে যোগদান করে আবার বের হয়ে গেছে? – রাশিয়া
  • CIRDAP এর উদ্যোক্তা কোন সংগঠন?—FAO
  • ওজোন স্তর সুরক্ষায় স্বাক্ষরিত হয়?- ভিয়েনা কনভেনশন
  • প্রাচীন সিল্করোড পূর্বের কোন দেশ পর্যন্ত এসেছে?- চীন
  • সোভিয়েত ইউনিয়ন হতে আলাদা হওয়া মুসলিম প্রজাতন্ত্র? – তাজিকিস্তান
  • ফ্রিডম স্কয়ার কোথায় অবস্থিত? — জর্জিয়া
  • ওপেন সোর্স অপারেটিং সিস্টেম- Ubuntu
  • একদিনের আন্তর্জাতিক ক্রিকেটে বিশ্বকাপে সর্বনিম্ন দলীয় সংগ্রহ? – পাকিস্তান
  • কোন বাংলাদেশী চলচ্চিত্র নির্মাতা অস্কার পান? – কেউ না

CIRDAP এর উদ্যোক্তা কোন সংগঠন?– FAO

স্বাধীনতার ঘোষণাপত্র কোন সংশোধনী তে যোগ করা হয়?— ১৫তম।

মূল্য সংযোজন কর কবে চালু করা হয়?— ১৯৯১ সালে। [ জাতীয় সংসদে মূল্য সংযোজন কর বিল ১৯৯১ উত্থাপন করা হয় ১ জুলাই ১৯৯১ তারিখে এবং তা সংসদে পাস হয় ৯ জুলাই ১৯৯১ তারিখে।]

ধর্ম সংবিধানের কোন অনুচ্ছেদে? — ৪১ She left USA _(for good)? — forever

মেলানেশিয়ার দেশ? — ফিজি

রাতের আকাশে তারা দেখা যায়-কোন কারকে কোন বিভক্তি?–

নিচের কোনটি অলুক তৎপুরুষ?- সোনার তরী।

নিচের কোনটি সমাসব্দ্ধ পদ?– “আমরা।

নাতিশীতোষ্ণ কোন সমাস? — তৎপুরুষ।

রুপাই কোন রচনার চরিত্র?— নকশী কাঁথার মাঠ।

দোয়েল চত্বরের স্থপতি কে?— আজিজুল জলিল পাশা।

LNG কোথায় স্থাপন করা হয়েছে?— মহেশখালি

মিশরের তাহরির স্কয়ার কি বলা হয়?— “তাহরির স্কয়ার” বা মুক্ত স্কয়ার”

ফ্রিডম স্কয়ার কোথায় অবস্থিত? — Georgia ; Azerbaijan; Armenia

বাবা’ কোন ভাষার শব্দ?— তুর্কি।

প্রাচীন সিল্করোড পূর্বের কোন দেশ পর্যন্ত এসেছে?— চীন।

কৃপাণ শব্দের অর্থ কি? উত্তর: তরবারি।

রাতে তারা দেখা যায়। কোন কারকে কোন বিভক্তি? উত্তর: অধিকরণে শুন্য।

Dhaka University (DU) Admission Test Question and Solution 2016 (B-Unit)

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  • ICSE Previous Year Question Papers
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  • ICSE Class 10 Maths 2019 Question Paper With Solution

ICSE Class 10 Maths Question Paper Solution 2019

The best way to prepare for ICSE 10th board Mathematics exam is by solving the end number of questions. One of the crucial things that students should not miss while preparing for Maths exam is solving the ICSE Class 10 Maths Question Paper Solution 2019. So, to help them prepare effectively for the exam, we have provided the ICSE Class 10 Maths Question Paper 2019 along with the Solutions. The answers are provided in steps along with the marking scheme for easy understanding of the students.

The ICSE Class 10 Maths 2019 exam was conducted on 8th March 2019. The exam started at 11am and students were allotted 2 hours 30 minutes of time duration to finish the paper. Students can download the ICSE Class 10 Maths Question Paper Solution 2019 PDF from the link below.

ICSE Class 10 Maths Question Paper 2019

Download icse class 10 maths question paper solution 2019 pdf.

Students can have a look at the ICSE Class 10 Maths Question Paper Solution 2019 below:

icse class 10 maths question paper solution 2019 01

ICSE Class 10 Maths Question Paper 2019 With Solution

Question 1:.

(a) Solve the following inequation and write down the solution set:

11𝑥 − 4 < 15𝑥 + 4 ≤ 13𝑥 + 14, 𝑥⊂W

Represent the solution on a real number line.

(b) A man invests `4500 in shares of a company which is paying 7.5% dividend. If `100 shares are available at a discount of 10%.

(i) Number of shares he purchases.

(ii) His annual income.

(c) In a class of 40 students, marks obtained by the students in a class test (out of 10) are

given below:

Calculate the following for the given distribution:

ICSE Class 10 Maths Qs Paper 2019 Solution-1

(b) (i) Market value of each share = `100 – 10% of 100 = 90

∴ Number of shares = 4500/90 = 50

(ii) Annual Income = (7.5 × 100 × 50) / 100 = 375

(i) Median = 6

(ii) Mode = 6

Question 2:

(a) Using the factor theorem, show that (x – 2) is a factor of 𝑥 3 + 𝑥 2 − 4𝑥 − 4.

Hence factorise the polynomial completely.

(b) Prove that:

(cosec 𝜃 − sin 𝜃)(sec 𝜃 − cos 𝜃)(tan 𝜃 + cot 𝜃) = 1

(c) In an Arithmetic Progression (A.P.) the fourth and sixth terms are 8 and 14 respectively.

(i) first term

(ii) common difference

(iii) sum of the first 20 terms.

ICSE Class 10 Maths Qs Paper 2019 Solution-3

(c) Let a be the first term and d the common difference

∴ a + 3d = 8 and a + 5d = 14

(i) Solving a = –1

(iii) S n = n/2 {2 × a + (n – 1) d}

S 20 = 20/2 {2 × (-1) + (20 – 1) 3}

S 20 = 10 (-2 + 57)

Question 3:

(a) Simplify

ICSE Class 10 Maths Qs Paper 2019 Solution-5

(b) M and N are two points on the X axis and Y axis respectively. P (3, 2) divides the line segment MN in the ratio 2: 3.

(i) the coordinates of M and N

(ii) slope of the line MN.

(c) A solid metallic sphere of radius 6 cm is melted and made into a solid cylinder of height 32 cm.

(i) radius of the cylinder

(ii) curved surface area of the cylinder

Take π = 3.1

ICSE Class 10 Maths Qs Paper 2019 Solution-6

(b) Let M(x, 0) and N(0,0) and N(0, y) be the two points on the X and Y axis respectively.

(i) P(3, 2) divides MN in the ratio 2 : 3

∴ 3 = (2×0 + 3× 𝑥 ) / 2+3 ∴ 𝑥 = 5

2 = (2×𝑦 + 3×0)/ 2+3 ∴ 𝑦 = 5

M (5, 0), N(0, 5)

(ii) Slope of MN: (5−0)/(0−5) = −1

ICSE Class 10 Maths Qs Paper 2019 Solution-7

Question 4:

(a) The following numbers, K + 3, K + 2, 3K – 7 and 2K – 3 are in proportion. Find K.

(b) Solve for x the quadratic equation 𝑥 2 − 4 𝑥 − 8 = 0.

Give your answer correct to three significant figures.

(c) Use ruler and compass only for answering this question.

Draw a circle of radius 4 cm. Mark the centre as O. Mark a point P outside the circle at a distance of 7 cm from the centre. Construct two tangents to the circle from the external point P.

Measure and write down the length of any one tangent.

(a) 𝐾 + 3, 𝐾 + 2, 3𝐾 − 7 and 2𝐾 − 3 are in proportion

(𝐾 + 3)/(𝐾 + 2) = (3𝐾 − 7)/(2𝐾 − 3)

(𝐾 + 3)(2𝐾 − 3) = (3𝐾 − 7)(𝐾 + 2)

2𝐾 2 + 6𝐾 − 3𝐾 − 9 = 3𝐾 2 − 7𝐾 + 6𝐾 − 14

𝐾 2 − 4𝐾 − 5 = 0

(𝐾 − 5)(𝐾 + 1) = 2

∴ 𝐾 = 5, −1

ICSE Class 10 Maths Qs Paper 2019 Solution-8

(c) Circle and point P

Bisecting OP and drawing circle

Two tangents

ICSE Class 10 Maths Qs Paper 2019 Solution-10

Question 5:

(a) There are 25 discs numbered 1 to 25. They are put in a closed box and shaken thoroughly. A disc is drawn at random from the box.

Find the probability that the number on the disc is:

(i) an odd number

(ii) divisible by 2 and 3 both.

(iii) a number less than 16.

(b) Rekha opened a recurring deposit account for 20 months. The rate of interest is 9% per annum and Rekha receives `441 as interest at the time of maturity.

Find the amount Rekha deposited each month.

(c) Use a graph sheet for this question.

Take 1 cm = 1 unit along both x and y axis.

(i) Plot the following points:

A(0,5), B(3,0), C(1,0) and D(1,–5)

(ii) Reflect the points B, C and D on the y axis and name them as B’, C’ and D’ respectively.

(iii) Write down the coordinates of B’, C’ and D’.

(iv) Join the points A, B, C, D, D’, C’, B’, A in order and give a name to the closed figure

ABCDD’C’B’.

(a) Total number of outcomes = 25

(i) favourable outcomes are {1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 25}

∴ probability of being an odd number is = 12/25

(ii) favourable outcomes are {6, 12, 18, 24} i.e. 4

∴ probability of being divisible by both 2 and 3 is = 4/25

(iii) favourable outcomes are

{1, 2, 3, 4, 5…15}, i.e. 15

∴ probability = 15/25 = 3/5

(b) Let monthly deposit be ` x

Interest = {p × n(n+1) × r } / (100 × 2 × 12)

441 = {𝑥 × 20(20+1) × 9 } / (100 × 2 × 12)

63𝑥/40 = 441

ICSE Class 10 Maths Qs Paper 2019 Solution-11

(iv) Arrow Head / Heptagon(or Septagon)

Question 6:

(a) In the given figure, ∠PQR = ∠PST = 90o, PQ = 5 cm and PS = 2 cm.

(i) Prove that ΔPQR ~ ΔPST.

(ii) Find Area of ΔPQR: Area of quadrilateral SRQT.

ICSE Class 10 Maths Qs Paper 2019 Solution-13

(b) The first and last term of a Geometrical Progression (G.P.) are 3 and 96 respectively. If the common ratio is 2, find:

(i) ‘n’ the number of terms of the G.P.

(ii) Sum of the n terms.

(c) A hemispherical and a conical hole is scooped out of a solid wooden cylinder. Find the volume of the remaining solid where the measurements are as follows:

The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of the cone is 3 cm. Give your answer correct to the nearest whole number. Take π =22/7.

ICSE Class 10 Maths Qs Paper 2019 Solution-14

(i) In ΔPQR and ΔPST

∠PQR = ∠PST = 90 o (given)

∠P is common to both triangles.

∴ ΔPQR ~ ΔPST (AAA)

(ii) ∴ ΔPQR: ΔPST = 5 2 : 2 2

∴ ΔPQR: quadrilateral SRQT = 25: 21

(b) 1st term a = 3 and last term = 96, r = 2

∴T n = 96 = a r n–1

96 = 3 × 2 n–1

∴n–1 = 5 hence n = 6

S 6 = a (r n – 1)/ r – 1

S 6 = 3 (2 6 – 1)/ 2 – 1

S 6 = 3 (64 − 1) = 3 × 63 = 189

ICSE Class 10 Maths Qs Paper 2019 Solution-16

Question 7:

(a) In the given figure AC is a tangent to the circle with centre O.

If ∠ADB = 55 o , find x and y. Give reasons for your answers.

ICSE Class 10 Maths Qs Paper 2019 Solution-17

(b) The model of a building is constructed with the scale factor 1 : 30.

(i) If the height of the model is 80 cm, find the actual height of the building in meters.

(ii) If the actual volume of a tank at the top of the building is 27 m 3 , find the volume of

the tank on the top of the model.

ICSE Class 10 Maths Qs Paper 2019 Solution-18

where M is a matrix and I is unit matrix of order 2×2.

(i) State the order of matrix M.

(ii) Find the matrix M.

ICSE Class 10 Maths Qs Paper 2019 Solution-19

AC is a tangent and OA is the radius.

∴∠BAC = 90 o

∠BAD = 90 o

∴∠B = 180 o – (90 o + 55 o )

= 35 o (angles of a triangle adds upto 180 o )

∴y = 2 × 35 o = 70 o (angle at the centre is double the angle in the remaining circumference)

x = 180 o – (90 o + y)

=180 o – (90 o + 70 o )

= 20 o (angles of a triangle adds upto 180 o )

K = 1/30, Used correctly in height or volume

(i) Height of model = 1/30 × Actual height of the building

= 30 × 80 cm = Actual height of the building

Actual height of the building = 2400 cm = 24 m

1: 30 = 80 : x (where x is the actual height of the building)

∴ x = 2400 cm = 24 m.

(ii) Volume of the tank on the top of the model

ICSE Class 10 Maths Qs Paper 2019 Solution-20

(c) (i) (2 × 2)(m × 𝑛)= (2 × 2) → order of matrix, M = (2 × 2)

ICSE Class 10 Maths Qs Paper 2019 Solution-21

Question 8:

(a) The sum of the first three terms of an Arithmetic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.

(b) The vertices of a ΔABC are A(3, 8), B(–1, 2) and C(6, –6).

(i) Slope of BC.

(ii) Equation of a line perpendicular to BC and passing through A.

(c) Using ruler and a compass only construct a semi-circle with diameter BC = 7cm. Locate a point A on the circumference of the semicircle such that A is equidistant from B and C. Complete the cyclic quadrilateral ABCD, such that D is equidistant from AB and BC. Measure ∠ADC and write it down.

(a) Let the terms be a – d, a, a + d

∴ a – d + a + a – d = 42

(a – d)(a + d) = 52

14 2 – d 2 = 52

d 2 = 196 – 52

d = 12, or –12

(b) A(3, 8), B(–1, 2) and C(6, –6)

(i) Slope of line BC = (−6−2)/(6+1) = −8/7

(ii) Slope of line perpendicular to BC is 7/8; Line passing through A(3, 8)

Equation is:

𝑦 −8 = 7/8 (𝑥 − 3)

8𝑦 − 64 = 7𝑥 − 21

7𝑥 − 8𝑦 + 43 = 0

(c) ∠ADC = 135 0

ICSE Class 10 Maths Qs Paper 2019 Solution-22

Question 9:

(a) The data on the number of patients attending a hospital in a month are given below. Find the average (mean) number of patients attending the hospital in a month by using the shortcut method.

Take the assumed mean as 45. Give your answer correct to 2 decimal places.

(b) Using properties of proportion solve for x, given

ICSE Class 10 Maths Qs Paper 2019 Solution-23

(c) Sachin invests 8500 in 10%, 100 shares at 170. He sells the shares when the price of each share rises by 30. He invests the proceeds in 12% Rs. 100 shares at 125. Find:

(i) the sale proceeds

(ii) the number of `125 shares he buys

(iii) the change in his annual income

Given assumed mean (A) = 45

Mean = 45 + (-140/30)

= 45 – 4.67

ICSE Class 10 Maths Qs Paper 2019 Solution-24

(c) Number of shares = 8500/170 = 50

Dividend = (50 × 100 × 10)/ 100 = 500

(i) Sales proceeds = 50 ×(170+30) = 10,000

(ii) New number of shares = 10,000/125 = 80

Dividend from new shares = (80 × 100 × 12)/100 = 960

∴ Change in income = 960 – 500 = 460

Question 10:

(a) Use graph paper for this question.

The marks obtained by 120 students in an English test are given below:

Draw the ogive and hence, estimate:

(i) the median marks.

(ii) the number of students who did not pass the test if the pass percentage was 50.

(iii) the upper quartile marks.

(b) A man observes the angle of elevation of the top of the tower to be 45 o . He walks towards it in a horizontal line through its base. On covering 20 m the angle of elevation changes to 60 o . Find the height of the tower correct to 2 significant figures.

SCALE: On X-axis, 1 cm = 20 marks

On Y-axis, 1 cm = 20 students

(i) Median = 43 marks

(ii) Number of students who did not pass the test 78

(iii) 56 marks (±1)

ICSE Class 10 Maths Qs Paper 2019 Solution-25

Question 11:

(a) Using the Remainder Theorem find the remainders obtained when

x 3 + (kx + 8)x + k is divided by x + 1 and x – 2.

Hence find k if the sum of the two remainders is 1.

(b) The product of two consecutive natural numbers which are multiples of 3 is equal to 810. Find the two numbers.

(c) In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter and side BC//AE. If ∠BAC = 50 0 , find giving reasons:

Hence prove that BE is also a diameter

ICSE Class 10 Maths Qs Paper 2019 Solution-27

(a) 𝑥 3 + (𝑘𝑥 + 8)𝑥 + 𝑘 = 𝑥 3 + 𝑘𝑥 2 + 8𝑥 + 𝑘𝑘

When divided by 𝑥 + 1

Remainder = (−1) 3 + 𝑘(−1) 2 + 8(−1) + 𝑘

= −1 + 𝑘 − 8 +𝑘

When divided by 𝑥 − 2

Remainder = (2) 3 + 𝑘(2) 2 + 8(2)+𝑘

= 8+4𝑘 + 16 + 𝑘

Hence 2𝑘 − 9 + 5𝑘 + 24 = 1

7𝑘 + 15 = 1

(b) Assume that two consecutive natural numbers which are multiple of 3 are

𝑥 𝑎𝑛𝑑 𝑥 + 3

𝑥(𝑥 + 3) = 810

𝑥 2 + 3𝑥 = 810

𝑥 2 + 3𝑥 − 810 = 0

(𝑥 + 30)(𝑥 − 27) = 0

𝑥 = −30 𝑜𝑟 𝑥= 27

Therefore, the two numbers are 27 and 30.

(c) (i) In ΔABC and ∠ABC = 90 0 (Angle is a semi circle)

∠BAC = 50° (given)

∴ ∠ACB = 40°

(ii) ∵ AE//BC

∴ ∠CAE = ∠𝐴CB = 40° (pair of alternate ∠s)

In cyclic quadrilateral ACDE

∠CAE + ∠EDC

= 180° (opposite ∠𝑠 𝑜𝑓 cyclic quadrilateral are supplementary)

40° + ∠𝐸DC = 180°

∠EDC = 140°

(iii) ∠BEC = ∠BAC = 50° (angles in the same segment)

(iv) ∠𝐴EB = 90 − 50 = 40°

∴ ∠EBC = 40° (alternate angles)

∴ ∠ECB = 90°

∴ BE is a diameter.

We hope this information on “ICSE Class 10 Maths Question Papers Solutions 2019” helped students in their exam preparation. To get the year wise ICSE Class 10 Previous Years Question papers along with solutions for other subjects, click here . Keep learning and download BYJU’S App to access interactive study videos.

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NSI Office Assistant Cum Computer Typist Question Solution

NSI Office Assistant Cum Computer Typist Question Solution 2019

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