UP Police Sub Inspector Mock Test 2026

Question 1

'कृतज्ञ' शब्द का विलोम शब्द क्या है?

1. a. अकृतज्ञ
2. b. कृतार्थ
3. c. उपकृत
4. d. कृतघ्न

Correct answer: D

Explanation: 'कृतज्ञ' (उपकार मानने वाला) का विलोम 'कृतघ्न' (उपकार भूलने वाला) है। 'अकृतज्ञ' व्याकरणतः बन तो सकता है पर मानक विलोम नहीं; 'कृतार्थ' (काम सिद्ध हुआ) और 'उपकृत' (उपकार पाया हुआ) समानार्थी दिशा के शब्द हैं — इसीलिए भ्रम होता है।

Question 2

'अंधे के हाथ बटेर लगना' मुहावरे का सही अर्थ क्या है?

1. a. मौका गंवा देना
2. b. बहुत मेहनत करना
3. c. किसी को धोखा देना
4. d. अचानक बड़ा लाभ मिलना

Correct answer: D

Explanation: 'अंधे के हाथ बटेर लगना' का अर्थ है बिना प्रयास के अचानक कोई बड़ा लाभ मिल जाना।

Question 3

इनमें से कौन-सा शब्द 'पृथ्वी' का पर्यायवाची नहीं है?

1. a. धरा
2. b. जगत्
3. c. धरती
4. d. भू

Correct answer: B

Explanation: धरा, धरती और भू — तीनों 'पृथ्वी' के पर्यायवाची हैं। 'जगत्' का अर्थ है संसार/लोक (world) — पृथ्वी से संबंधित होते हुए भी उसका पर्याय नहीं। इसीलिए उत्तर 'जगत्' है।

Question 4

'कवि' शब्द का शुद्ध स्त्रीलिंग रूप क्या है?

1. a. कवियित्री
2. b. कवित्री
3. c. कविनी
4. d. कवयित्री

Correct answer: D

Explanation: 'कवि' का शुद्ध स्त्रीलिंग 'कवयित्री' है (कवि + यित्री)। 'कवियित्री' और 'कवित्री' अशुद्ध वर्तनी हैं, 'कविनी' बना हुआ रूप नहीं है — यही निकट-वर्तनी भ्रम परीक्षा में पूछा जाता है।

Question 5

निम्नलिखित में से सदा बहुवचन में आने वाला शब्द चुनें।

1. a. प्राण
2. b. लड़की
3. c. किताब
4. d. मेज़

Correct answer: A

Explanation: 'प्राण' सदा बहुवचन में प्रयुक्त होता है — 'प्राण निकल गए' शुद्ध है, 'प्राण निकल गया' अशुद्ध। इसी वर्ग में आँसू, दर्शन और हस्ताक्षर आते हैं। लड़की, किताब और मेज़ के सामान्य बहुवचन (लड़कियाँ, किताबें, मेज़ें) बनते हैं।

Question 6

Which Article of the Indian Constitution guarantees equality before law (Right to Equality)?

1. a. Article 14
2. b. Article 19
3. c. Article 21
4. d. Article 32

Correct answer: A

Explanation: Article 14 guarantees that the State shall not deny any person equality before the law or equal protection of the laws within the territory of India.

Question 7

Which new law replaced the Indian Penal Code (IPC) with effect from 1 July 2024?

1. a. Bharatiya Nyaya Sanhita (BNS)
2. b. Bharatiya Nagarik Suraksha Sanhita (BNSS)
3. c. Bharatiya Sakshya Adhiniyam (BSA)
4. d. Indian Penal Code Amendment Act

Correct answer: A

Explanation: The Bharatiya Nyaya Sanhita (BNS) replaced the Indian Penal Code (IPC), 1860 from 1 July 2024. The same date saw BNSS replace the CrPC and BSA replace the Indian Evidence Act, 1872.

Question 8

How many Lok Sabha (lower house of Parliament) seats does Uttar Pradesh have?

1. a. 80
2. b. 48
3. c. 40
4. d. 25

Correct answer: A

Explanation: Uttar Pradesh sends 80 members to the Lok Sabha — the highest number of any state in India.

Question 9

Who is the ex-officio Chairman of the Rajya Sabha?

1. a. President of India
2. b. Vice President of India
3. c. Speaker of the Lok Sabha
4. d. Prime Minister

Correct answer: B

Explanation: Under Article 64, the Vice President of India serves as the ex-officio Chairman of the Rajya Sabha.

Question 10

The Bharatiya Sakshya Adhiniyam (BSA) replaced which colonial-era law?

1. a. Indian Evidence Act, 1872
2. b. Indian Penal Code, 1860
3. c. Code of Criminal Procedure, 1973
4. d. Police Act, 1861

Correct answer: A

Explanation: The Bharatiya Sakshya Adhiniyam (BSA) replaced the colonial-era Indian Evidence Act, 1872, effective 1 July 2024.

Question 11

40% of a number exceeds 25% of the same number by 36. What is the number?

1. a. 200
2. b. 220
3. c. 240
4. d. 260

Correct answer: C

Explanation: 40% − 25% = 15%, and 15% = 36 by the question. So 1% = 36/15 = 2.4, and the whole number (100%) = 240. Check: 40% of 240 = 96, 25% = 60, difference = 36.

Question 12

An article bought for ₹500 is sold for ₹650. What is the profit percentage?

1. a. 20%
2. b. 25%
3. c. 30%
4. d. 35%

Correct answer: C

Explanation: Profit = 650 − 500 = 150. Profit% = (150 ÷ 500) × 100 = 30%.

Question 13

What is the average of the first 10 natural numbers (1 to 10)?

1. a. 5
2. b. 5.5
3. c. 6
4. d. 10

Correct answer: B

Explanation: Sum = 1+2+…+10 = 55. Average = 55 ÷ 10 = 5.5.

Question 14

A 300-metre-long train crosses a 200-metre-long platform in 20 seconds. What is the train's speed in km/h?

1. a. 54 km/h
2. b. 72 km/h
3. c. 90 km/h
4. d. 108 km/h

Correct answer: C

Explanation: Crossing the platform needs train length + platform length = 300 + 200 = 500 metres. Speed = 500/20 = 25 m/s. In km/h: 25 × 18/5 = 90 km/h. Traps: using only 300 m (54), or answering without unit conversion (25).

Question 15

₹90 is divided in the ratio 4:5. What is the smaller share?

1. a. ₹36
2. b. ₹40
3. c. ₹45
4. d. ₹50

Correct answer: B

Explanation: Total parts = 4+5 = 9. One part = 90 ÷ 9 = 10. Smaller share = 4 × 10 = ₹40.

Question 16

Introducing a man, a woman said, "His mother is the only daughter of my father." How is the woman related to the man?

1. a. Sister
2. b. Mother
3. c. Aunt
4. d. Grandmother

Correct answer: B

Explanation: 'My father's only daughter' is the woman herself. So the man's mother is the woman speaking — meaning the woman is the man's mother.

Question 17

Complete the series: 5, 11, 23, 47, 95, ?

1. a. 185
2. b. 190
3. c. 191
4. d. 199

Correct answer: C

Explanation: Each number = previous number × 2 + 1. So the next number = 95 × 2 + 1 = 191.

Question 18

A cyclist rides 4 km towards south, then turns left and rides 3 km. How far is he from his starting point?

1. a. 3 km
2. b. 4 km
3. c. 5 km
4. d. 7 km

Correct answer: C

Explanation: The 4 km (south) and 3 km (east) legs are perpendicular. By the Pythagorean theorem, distance = √(4²+3²) = √25 = 5 km.

Question 19

As the 'Taj Mahal' is related to 'Shahjahan' (monument : builder), 'Humayun's Tomb' is related to whom?

1. a. Akbar
2. b. Babur
3. c. Humayun
4. d. Haji Begum

Correct answer: D

Explanation: The relation is monument : its builder. Humayun's Tomb was built by Humayun's widow Haji Begum — the namesake need not be the builder (that is the 'Humayun' trap). Akbar and Babur are unconnected with this construction.

Question 20

Statements: (I) All keys are made of gold. (II) All golden things are heavy. Conclusion: All keys are heavy. Does the conclusion follow from the statements?

1. a. Both statements are false
2. b. The conclusion does not follow
3. c. Cannot be determined
4. d. The conclusion follows

Correct answer: D

Explanation: Taking the statements as given, all keys are gold, and everything gold is heavy — so all keys must be heavy. The conclusion logically follows from the statements, even though the statements aren't factually true.

Question 1

'निंदा' शब्द का विलोम शब्द क्या है?

1. a. प्रशंसा
2. b. निंदनीय
3. c. गर्हा
4. d. स्तुति

Correct answer: D

Explanation: 'निंदा' का मानक विलोम 'स्तुति' है। 'प्रशंसा' अर्थ में निकट है पर मानक विलोम-युग्म निंदा–स्तुति है; 'गर्हा' निंदा का ही पर्याय है और 'निंदनीय' विशेषण रूप — दोनों भ्रम हेतु रखे गए हैं।

Question 2

'आंखों में धूल झोंकना' मुहावरे का सही अर्थ क्या है?

1. a. किसी को धोखा देना
2. b. बहुत गुस्सा होना
3. c. मदद करना
4. d. बहुत रोना

Correct answer: A

Explanation: 'आंखों में धूल झोंकना' का अर्थ है किसी को छल-कपट से धोखा देना, ताकि उसे सच्चाई का पता न चले।

Question 3

इनमें से कौन-सा शब्द 'समुद्र' का पर्यायवाची नहीं है?

1. a. तरंग
2. b. सागर
3. c. उदधि
4. d. पयोधि

Correct answer: A

Explanation: सागर, उदधि और पयोधि — तीनों 'समुद्र' के पर्यायवाची हैं। 'तरंग' का अर्थ है लहर (wave) — समुद्र का एक रूप/अंग, उसका पर्याय नहीं। इसीलिए उत्तर 'तरंग' है।

Question 4

'सम्राट' शब्द का शुद्ध स्त्रीलिंग रूप क्या है?

1. a. सम्राज्ञी
2. b. सम्राटी
3. c. सम्राटिन
4. d. महारानी

Correct answer: A

Explanation: 'सम्राट' का शुद्ध स्त्रीलिंग 'सम्राज्ञी' है। 'सम्राटी' और 'सम्राटिन' बने हुए अशुद्ध रूप हैं; 'महारानी' अपने आप में शुद्ध शब्द है पर 'सम्राट' का स्त्रीलिंग नहीं (वह 'महाराजा' का है) — यही सूक्ष्म भ्रम परीक्षा में पूछा जाता है।

Question 5

निम्नलिखित में से शुद्ध (सही) वर्तनी वाला शब्द कौन-सा है?

1. a. आशिर्वाद
2. b. आर्शीवाद
3. c. आशीर्वाद
4. d. आर्शिवाद

Correct answer: C

Explanation: सही वर्तनी 'आशीर्वाद' है — यहाँ दीर्घ 'ई' मात्रा 'शी' पर और ऋ-जनित 'र्' सही स्थान पर आता है।

Question 6

How many Fundamental Duties are currently listed under Article 51A of the Indian Constitution?

1. a. 10
2. b. 11
3. c. 12
4. d. 9

Correct answer: B

Explanation: The 42nd Amendment (1976) originally added 10 Fundamental Duties; the 86th Amendment (2002) added one more, taking the total to 11.

Question 7

On which date was the 'United Provinces' renamed 'Uttar Pradesh'?

1. a. 26 January 1950
2. b. 1 November 1956
3. c. 15 August 1947
4. d. 24 January 1950

Correct answer: D

Explanation: On 24 January 1950, a Governor-General's order renamed the 'United Provinces' as 'Uttar Pradesh' — two days before India became a Republic. This date is now marked as 'Uttar Pradesh Diwas'.

Question 8

Under which Section of the Bharatiya Nyaya Sanhita (BNS), 2023 does the offence of murder fall?

1. a. Section 101
2. b. Section 111
3. c. Section 302
4. d. Section 103

Correct answer: D

Explanation: The old IPC Section 302 (murder) has been replaced by BNS Section 103. Section 302 still applies only to offences committed before 1 July 2024.

Question 9

Which Schedule of the Indian Constitution deals with the Anti-Defection Law?

1. a. Eighth Schedule
2. b. Ninth Schedule
3. c. Tenth Schedule
4. d. Twelfth Schedule

Correct answer: C

Explanation: The Tenth Schedule, added by the 52nd Amendment Act (1985), lays down the provisions for disqualifying members on grounds of defection.

Question 10

In which city is the headquarters of the UP Police Recruitment & Promotion Board (UPPRPB) located?

1. a. Kanpur
2. b. Gorakhpur
3. c. Prayagraj
4. d. Lucknow

Correct answer: D

Explanation: UPPRPB is headquartered in Lucknow, at the Tulsi Ganga Complex on Vidhan Sabha Marg.

Question 11

What is the difference between compound interest and simple interest on ₹4,000 at 10% per annum for 2 years?

1. a. ₹30
2. b. ₹50
3. c. ₹40
4. d. ₹60

Correct answer: C

Explanation: For 2 years, difference = P × (r/100)² = 4000 × (10/100)² = 4000 × 1/100 = ₹40. Check: SI = 4000×10%×2 = ₹800; CI = 4000×(1.1²−1) = ₹840; difference = ₹40.

Question 12

The HCF of two numbers is 8 and their LCM is 96. If one of the numbers is 32, what is the other number?

1. a. 16
2. b. 20
3. c. 24
4. d. 48

Correct answer: C

Explanation: First × second = HCF × LCM. So the other = (8 × 96)/32 = 768/32 = 24. Check: 32 = 2⁵ and 24 = 2³×3, HCF = 2³ = 8, LCM = 2⁵×3 = 96.

Question 13

A is 20 years older than B. Five years ago, A's age was 3 times B's age. What is B's present age?

1. a. 12 years
2. b. 15 years
3. c. 18 years
4. d. 20 years

Correct answer: B

Explanation: Let B's present age be x, so A = x+20. Five years ago: (x+20−5) = 3(x−5) ⟹ x+15 = 3x−15 ⟹ 2x = 30 ⟹ x = 15. Check: A = 35 now; five years ago 30 and 10 — exactly 3 times.

Question 14

A number increased from 200 to 250. What is the percentage increase?

1. a. 20%
2. b. 25%
3. c. 30%
4. d. 50%

Correct answer: B

Explanation: Increase = 250 − 200 = 50. Percentage increase = (50 ÷ 200) × 100 = 25%.

Question 15

Simplify: (15 × 4) − (20 ÷ 5) = ?

1. a. 52
2. b. 56
3. c. 60
4. d. 64

Correct answer: B

Explanation: 15 × 4 = 60, 20 ÷ 5 = 4. 60 − 4 = 56.

Question 16

In a certain code, 'TABLE' is written as 'ELBAT' (letters reversed). How will 'CHAIR' be written in the same code?

1. a. RIAHC
2. b. RAIHC
3. c. HCAIR
4. d. RICHA

Correct answer: A

Explanation: Every word is simply reversed. Reversing 'CHAIR' (C-H-A-I-R) letter by letter gives R-I-A-H-C, i.e. 'RIAHC'.

Question 17

Sunita walks 5 km east from her house, then turns south and walks 5 km, then turns east again and walks 5 km. Which direction is she now from her house?

1. a. North-East
2. b. South-East
3. c. South-West
4. d. North-West

Correct answer: B

Explanation: Net displacement: 5+5=10 km east and 5 km south. Both components are positive, so she is to the south-east of her house.

Question 18

Complete the letter series: B, D, G, K, P, ?

1. a. T
2. b. U
3. c. V
4. d. W

Correct answer: C

Explanation: The gap between letters keeps growing: B(+2)D(+3)G(+4)K(+5)P(+6)V. So the next letter is V.

Question 19

As 'Premchand' is related to 'Godan' (author : work), 'Jaishankar Prasad' is related to what?

1. a. Kamayani
2. b. Gaban
3. c. Madhushala
4. d. Urvashi

Correct answer: A

Explanation: The relation is author : his famous work — Premchand–Godan, Jaishankar Prasad–Kamayani (epic). 'Gaban' is itself Premchand's (the trap), 'Madhushala' is Harivansh Rai Bachchan's and 'Urvashi' is Dinkar's — all same-era distractors.

Question 20

One of these numbers breaks the fixed rule. Choose the different number: 27, 64, 125, 100

1. a. 27
2. b. 64
3. c. 125
4. d. 100

Correct answer: D

Explanation: 27 = 3³, 64 = 4³, 125 = 5³ — three perfect cubes. 100 is not the cube of any integer (4³ = 64, 5³ = 125), so 100 is the different one.

Question 1

'उदय' शब्द का विलोम शब्द क्या है?

1. a. उद्गम
2. b. उन्नत
3. c. उत्थान
4. d. अस्त

Correct answer: D

Explanation: 'उदय' (निकलना/उठना) का विलोम 'अस्त' (डूबना/छिपना) है — सूर्योदय–सूर्यास्त युग्म से याद रखें। 'उद्गम', 'उन्नत' और 'उत्थान' तीनों 'उदय' की दिशा के ही शब्द हैं, विलोम नहीं — उपसर्ग-समानता का भ्रम ही परीक्षा का जाल है।

Question 2

'ईद का चाँद होना' मुहावरे का सही अर्थ क्या है?

1. a. बहुत खुश होना
2. b. त्योहार मनाना
3. c. बहुत सुंदर होना
4. d. कभी-कभार ही दिखना

Correct answer: D

Explanation: 'ईद का चाँद होना' मुहावरे का अर्थ है किसी का बहुत कम या कभी-कभार ही दिखाई देना, जैसे ईद का चाँद महीने में एक बार ही दिखता है।

Question 3

इनमें से कौन-सा शब्द 'सूर्य' का पर्यायवाची नहीं है?

1. a. प्रभात
2. b. रवि
3. c. भास्कर
4. d. आदित्य

Correct answer: A

Explanation: रवि, भास्कर और आदित्य — तीनों 'सूर्य' के पर्यायवाची हैं। 'प्रभात' का अर्थ है भोर/सुबह (morning) — सूर्य से संबंधित समय, उसका पर्याय नहीं। इसीलिए उत्तर 'प्रभात' है।

Question 4

'नेता' शब्द का शुद्ध स्त्रीलिंग रूप क्या है?

1. a. नेताइन
2. b. नेतानी
3. c. नेती
4. d. नेत्री

Correct answer: D

Explanation: 'नेता' का शुद्ध स्त्रीलिंग 'नेत्री' है। 'नेताइन'/'नेतानी' बोलचाल के बने हुए रूप हैं और 'नेती' कोई शब्द नहीं — मानक रूप एकमात्र 'नेत्री' है।

Question 5

'जो कठिनाई से समझ में आए' उसके लिए एक शब्द क्या है?

1. a. दुर्बोध
2. b. दुर्लभ
3. c. दुर्गम
4. d. दुर्जय

Correct answer: A

Explanation: जो बात कठिनाई से समझ में आए, उसे 'दुर्बोध' कहते हैं। 'दुर्लभ' (जो मुश्किल से मिले), 'दुर्गम' (जहाँ पहुँचना कठिन हो) और 'दुर्जय' (जिसे जीतना कठिन हो) अलग-अलग अर्थ रखते हैं।

Question 6

How many lions stand atop the Ashoka pillar at Sarnath, as seen in India's State Emblem?

1. a. 4 lions
2. b. 3 lions
3. c. 5 lions
4. d. 2 lions

Correct answer: A

Explanation: Four lions stand back-to-back atop the pillar — only three are visible in the emblem, the fourth hidden behind (that is the '3' trap). Below lies the dharma-chakra flanked by bull and horse, with 'सत्यमेव जयते' (from the Mundaka Upanishad).

Question 7

How many total seats does the Uttar Pradesh Legislative Assembly (Vidhan Sabha) have?

1. a. 300
2. b. 350
3. c. 403
4. d. 425

Correct answer: C

Explanation: Following the Uttar Pradesh Reorganisation Act, 2000, the Uttar Pradesh Legislative Assembly's seat count was fixed at 403.

Question 8

Under the new criminal laws, under which section is the FIR now registered?

1. a. Section 154, CrPC
2. b. Section 160, BNSS
3. c. Section 161, BNSS
4. d. Section 173, BNSS

Correct answer: D

Explanation: Since 1 July 2024 the CrPC stands replaced by the BNSS — the FIR is now registered under BNSS Section 173 (replacing old CrPC Section 154; that is the '154' trap). BNSS Section 173 also adds Zero FIR and e-FIR provisions.

Question 9

How many times has National Emergency been imposed in India since independence?

1. a. 3 times
2. b. 2 times
3. c. Once
4. d. 4 times

Correct answer: A

Explanation: Three times under Article 352 — 1962 (China war), 1971 (Pakistan war) and 1975 (internal disturbance). The 1975 one alone was on 'internal' grounds; the 44th Amendment (1978) replaced 'internal disturbance' with 'armed rebellion'.

Question 10

When was NITI Aayog (which replaced the Planning Commission) formed, and who was its first Vice-Chairperson?

1. a. 2014 — Arvind Panagariya
2. b. 2015 — Arvind Panagariya
3. c. 2015 — Amitabh Kant
4. d. 2016 — Arvind Panagariya

Correct answer: B

Explanation: NITI Aayog was formed on 1 January 2015; Arvind Panagariya became its first Vice-Chairperson. '2014' confuses the government-formation year; Amitabh Kant was NITI's CEO, not Vice-Chairperson — the post is the trap.

Question 11

A can complete a work in 10 days and B can complete the same work in 15 days. Working together, how many days will they take?

1. a. 5 days
2. b. 6 days
3. c. 7 days
4. d. 12 days

Correct answer: B

Explanation: A's one-day work = 1/10, B's = 1/15. Combined = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6. So together they finish the work in 6 days.

Question 12

What is the smallest 4-digit number exactly divisible by 7?

1. a. 1000
2. b. 1001
3. c. 1007
4. d. 1014

Correct answer: B

Explanation: 1000 ÷ 7 = 142 remainder 6. The next number exactly divisible by 7 is 143 × 7 = 1001.

Question 13

A student scored 45 out of 60 in the first exam. How many marks must they score out of 80 in the second exam so that the combined percentage of both exams is 80%?

1. a. 65
2. b. 64
3. c. 67
4. d. 70

Correct answer: C

Explanation: Total maximum = 60 + 80 = 140. For 80% overall: 140 × 80/100 = 112 marks needed. Already has 45, so the second exam needs 112 − 45 = 67. Trap: computing 80% of 80 (64) — the percentage applies to the combined total, not the second exam alone.

Question 14

Two numbers are in the ratio 3:4. If their sum is 84, what is the larger number?

1. a. 36
2. b. 42
3. c. 48
4. d. 54

Correct answer: C

Explanation: Total parts = 3+4 = 7. One part = 84 ÷ 7 = 12. Larger number = 4 × 12 = 48.

Question 15

A rectangle has perimeter 36 m and length 10 m. What is its area?

1. a. 60 sq m
2. b. 70 sq m
3. c. 80 sq m
4. d. 90 sq m

Correct answer: C

Explanation: Perimeter = 2 × (length + width) ⟹ 36 = 2 × (10 + width) ⟹ width = 18 − 10 = 8 m. Area = 10 × 8 = 80 sq m. Traps: mistaking the perimeter for the area, or multiplying by the length directly.

Question 16

If A=1, B=2, C=3 ... Z=26, what is the code for the word 'CAT' when the positional values of its letters are added together?

1. a. 20
2. b. 22
3. c. 24
4. d. 26

Correct answer: C

Explanation: C=3, A=1, T=20. Sum = 3+1+20 = 24.

Question 17

Introducing a boy, a man said, "He is the son of my father's only son." The man himself is his father's only son. How is the boy related to the man?

1. a. Nephew
2. b. Son
3. c. Brother
4. d. Cousin

Correct answer: B

Explanation: Since the man is his own father's only son, 'my father's only son' refers to the man himself. So the boy is the man's own son.

Question 18

Complete the series: 3, 7, 15, 31, 63, ?

1. a. 119
2. b. 125
3. c. 127
4. d. 131

Correct answer: C

Explanation: Each number = previous number × 2 + 1. So the next number = 63 × 2 + 1 = 127.

Question 19

As 'Sweetness' is related to 'Honey' (quality : object), 'Bitterness' is related to what?

1. a. Neem
2. b. Jaggery
3. c. Amla
4. d. Honey

Correct answer: A

Explanation: The relation is quality : its famous bearer — sweetness–honey, bitterness–neem. Jaggery is sweet (opposite-quality trap), amla is sour-astringent (near-taste trap), and honey belongs to the first half of the question.

Question 20

Point A is 5 km north of Point B. Point C is 5 km east of Point A. In which direction is Point C from Point B?

1. a. North-West
2. b. North-East
3. c. South-East
4. d. South-West

Correct answer: B

Explanation: Taking B as the origin (0,0): A is north of B, so A=(0,5). C is east of A, so C=(5,5). Both the north and east components from B to C are positive, so C is to the north-east of B.