- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 3357555
- Series
- D
RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 3
- Questions
- 100
- Maximum marks
- 100
- Minutes allowed
- 90
Instructions निर्देश
- This booklet has 100 questions in 3 parts: A. General Awareness (40), B. Mathematics (30), C. General Intelligence and Reasoning (30).
- You have 90 minutes for the whole paper. The clock starts when you break the seal.
- Each question has 4 options and one right answer. A right answer earns 1 mark. A wrong answer costs 0.33. A question left blank scores nothing.
- Fill one bubble per question on the answer sheet. Unlike a real sheet, you can clear it and change your mind.
Scripting is off, so this page is a printed paper: answer on paper, then open each question’s working.
Part AGeneral Awareness
-
Who was the Prime Minister of India throughout 2013?
Answer and working
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In which year was Maharashtra formed as a state or union territory in its present form?
Answer and working
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Which of these was written by Chuhdary Rahmat Ali?
Answer and working
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What is the currency of People's Republic of China?
Answer and working
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Which of these national parks is in Nagaland?
Answer and working
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In which year was Bhimsen Joshi awarded the Bharat Ratna?
Answer and working
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Rohan Bopanna is associated with which sport?
Answer and working
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What is the capital of New Zealand?
Answer and working
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Which of these tiger reserves is in Chhattisgarh?
Answer and working
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What is the capital of Chhattisgarh?
Answer and working
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International Lefthanders Day is observed on which date?
Answer and working
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Who was the Vice President of India throughout 1956?
Answer and working
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Kuvempu received the Jnanpith Award in which year?
Answer and working
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Panaji is the capital of which state or union territory?
Answer and working
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Who was the Prime Minister of India throughout 2023?
Answer and working
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What is the atomic number of sodium?
Answer and working
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Which of these dams is on the Indravati River?
Answer and working
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Which element has the symbol Ta?
Answer and working
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Who was the Chief Justice of India throughout 2008?
Answer and working
-
Consider the following pairs of organisations and their headquarters:
How many of the pairs given above are correctly matched?Organisation Headquarters 1. Universal Postal Union Jeddah 2. Fédération Internationale de l'Automobile New York City 3. Fédération Internationale de Volleyball Beijing Answer and working
Answer D
1. wrong: Universal Postal Union goes with Bern; 2. wrong: Fédération Internationale de l'Automobile goes with Paris; 3. wrong: Fédération Internationale de Volleyball goes with Lausanne. So: None of the pairs.
Source: Wikidata (CC0)
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Which of these Ramsar sites is in Assam?
Answer and working
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Mirabai Chanu is associated with which sport?
Answer and working
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Where is the headquarters of the International Development Association?
Answer and working
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What is the currency of Vatican City?
Answer and working
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In which year was PSLV-C37 launched?
Answer and working
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World Tuberculosis Day is observed on which date?
Answer and working
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What is the capital of Timor-Leste?
Answer and working
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In which year was the Second Battle of Tarain fought?
Answer and working
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K. Balachander received the Dadasaheb Phalke Award for which year?
Answer and working
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In which year was the Battle of Plassey fought?
Answer and working
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Kudremukh National Park is in which state?
Answer and working
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Annapurna Devi is known for playing which instrument?
Answer and working
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Washington, D.C. is the capital of which country?
Answer and working
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Great Himalayan National Park, a UNESCO World Heritage Site, is in which state?
Answer and working
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In which year was the Battle of Plassey fought?
Answer and working
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Consider the following pairs of rivers and where they flow:
How many of the pairs given above are correctly matched?River Flows into 1. Padma River Brahmaputra River 2. Tapti River Ghaghara River 3. Mandovi River Rann of Kutch Answer and working
Answer D
1. wrong: Padma River goes with Meghna River; 2. wrong: Tapti River goes with Gulf of Khambhat; 3. wrong: Mandovi River goes with Arabian Sea. So: None of the pairs.
Source: Wikidata (CC0)
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In which year was Chhatrapati Shivaji Maharaj Terminus inscribed as a UNESCO World Heritage Site?
Answer and working
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Which of these World Heritage Sites is in Himachal Pradesh?
Answer and working
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Consider the following pairs of rivers and where they flow:
How many of the pairs given above are correctly matched?River Flows into 1. Jaldhaka River Brahmaputra River 2. Mahi River Indus River 3. Kaveri Brahmaputra River Answer and working
Answer A
1. correct; 2. wrong: Mahi River goes with Arabian Sea; 3. wrong: Kaveri goes with Bay of Bengal. So: Only one pair.
Source: Wikidata (CC0)
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Which of these was written by Vikram Seth?
Answer and working
Part BMathematics
-
What is the LCM of 468, 198 and 108?
Answer and working
Answer D
468 = 2² × 3² × 13; 198 = 2 × 3² × 11; 108 = 2² × 3³. Each prime at its highest power: 2² × 3³ × 11 × 13 = 15,444.
-
54 litres of a mixture contains milk and water in the ratio 5 : 1. How much water must be added to make the ratio 1 : 2?
Answer and working
Answer A
Milk = 45 l, water = 9 l. For 1 : 2, water must be 45 × 2/1 = 90 l. Add 90 − 9 = 81 litres.
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A sum of money at simple interest amounts to ₹4,480 in 4 years and to ₹5,215 in 7 years. What is the sum?
Answer and working
Answer C
Interest for 3 years = 5,215 − 4,480 = ₹735, so ₹245 a year. Interest for 4 years = ₹980. Sum = 4,480 − 980 = ₹3,500.
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What is the average of the first 37 even numbers?
Answer and working
Answer B
The first 37 even numbers add up to 37 × 38 = 1406; the average is 38.
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A trader buys a bicycle for ₹2,400 and sells it for ₹3,120. What is the profit or loss percent?
Answer and working
Answer D
Profit = ₹720. As a percent of the cost price: 720 ÷ 2,400 × 100 = 30% profit.
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A rectangular plot has a perimeter of 126 m and a length of 48 m. What is its area?
Answer and working
Answer C
Length + breadth = 126 ÷ 2 = 63, so breadth = 15 m. Area = 48 × 15 = 720 m².
-
The sum of the present ages of a father and his son is 86 years. 8 years ago, the father was 4 times as old as the son. How old is the son now?
Answer and working
Answer A
Let the son be s. Then (86 − s − 8) = 4(s − 8), so 110 = 5s and s = 22 years.
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What is the fourth proportional to 6, 6 and 60?
Answer and working
Answer C
6 : 6 = 60 : x, so x = 6 × 60 ÷ 6 = 60.
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Ramesh can finish a piece of work in 40 days and Suresh can finish it in 10 days. Working together, how long will they take?
Answer and working
Answer A
In one day they do 1/40 + 1/10 = 1/8 of the work. Time = 40 × 10 ÷ (40 + 10) = 8 days.
-
Pipe A fills a tank in 9 hours; pipe B empties the full tank in 18 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer D
Net filling per hour = 1/9 − 1/18 = 1/18. Time = 18 hours.
-
A bus goes from Pune to Nashik at 24 km/h and returns by the same road at 40 km/h. What is its average speed for the whole journey?
Answer and working
Answer D
For equal distances, average speed = 2xy/(x + y) = 2 × 24 × 40 ÷ 64 = 30 km/h. The plain average, 32, ignores that the slower leg takes longer.
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If x + 1⁄x = 8, what is x² + 1⁄x²?
Answer and working
Answer B
Square both sides: x² + 2 + 1/x² = 64, so x² + 1/x² = 62.
-
Solve for x: 3x − 17 = 2x − 8
Answer and working
Answer A
3x − 2x = −8 + 17, so x = 9. x = 9.
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Two trains 300 m and 190 m long run on parallel tracks in opposite directions at 73 km/h and 53 km/h. How long do they take to cross each other?
Answer and working
Answer C
Relative speed = 73 + 53 = 126 km/h = 35 m/s. Distance = 300 + 190 = 490 m. Time = 490 ÷ 35 = 14 seconds.
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What is 150% of 1,120?
Answer and working
Answer C
150% of 1,120 = 1,120 × 150/100 = 1,680.
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A boat covers 50 km downstream in 5 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 50 ÷ 5 = 10 km/h; upstream = 24 ÷ 3 = 8 km/h. Boat = (10 + 8) ÷ 2 = 9 km/h.
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What is the fourth proportional to 5, 30 and 150?
Answer and working
Answer D
5 : 30 = 150 : x, so x = 30 × 150 ÷ 5 = 900.
-
What is the difference between the compound interest and the simple interest on ₹6,400 for 2 years at 10% per annum?
Answer and working
Answer A
For 2 years, CI − SI = P × (R/100)² = 6,400 × (10/100)² = ₹64.
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A trader buys a bicycle for ₹2,200 and sells it for ₹1,540. What is the profit or loss percent?
Answer and working
Answer B
Loss = ₹660. As a percent of the cost price: 660 ÷ 2,200 × 100 = 30% loss.
-
What is the largest 5-digit number exactly divisible by 42?
Answer and working
Answer D
99,999 ÷ 42 leaves remainder 39. 99,999 − 39 = 99,960.
-
Two successive discounts of 10% and 30% are equal to a single discount of:
Answer and working
Answer A
Single discount = 10 + 30 − (10 × 30)/100 = 37%. The second discount is taken on the already reduced price, so the two do not simply add.
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The population of a town is 14,000. It grows by 10% every year. What will it be after 2 years?
Answer and working
Answer C
14,000 × (1 + 10/100)² = 14,000 × 1.21 = 16,940. Growing 10% on 14,000 twice, not 20% once.
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The angles of a triangle are in the ratio 6 : 4 : 5. What is the largest angle?
Answer and working
Answer D
15 parts make 180°, so one part is 12°. The largest is 6 × 12 = 72°.
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From a point on the ground 15 m from the foot of a tower, the angle of elevation of its top is 30°. How tall is the tower?
Answer and working
Answer D
Height = 15 × tan 30° = 15 × 1/√3 = 5√3 m.
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What is the average of 99, 81, 90, 34, 39, 47 and 44?
Answer and working
Answer C
Sum = 434. Average = 434 ÷ 7 = 62.
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What is the value of 54² − 37²?
Answer and working
Answer C
a² − b² = (a + b)(a − b) = 91 × 17 = 1,547.
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What is the median of these numbers: 18, 51, 60, 22, 36, 41, 14?
Answer and working
Answer B
In order: 14, 18, 22, 36, 41, 51, 60. The middle value is 36.
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The two sides containing the right angle of a triangle are 8 cm and 15 cm. What is its hypotenuse?
Answer and working
Answer A
Hypotenuse = √(8² + 15²) = √289 = 17 cm.
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The price of a cooler goes from ₹940 to ₹658. What is the percentage decrease?
Answer and working
Answer C
Change = ₹282. On the original value: 282 ÷ 940 × 100 = 30%, a 30% decrease. Dividing by the new value, 658, is the usual slip.
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What is the value of 90² − 54²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 144 × 36 = 5,184.
Part CGeneral Intelligence and Reasoning
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Which pair comes next? CX, DW, EV, FU, ?
Answer and working
Answer A
The first letters move forward 1 (C, D, E, F); the second move back 1 (X, W, V, U). Next: GT.
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GI : HJ :: NP : ?
Answer and working
Answer C
Each letter of GI moves 1 forward to give HJ. Doing the same to NP gives OQ.
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9 : 82 :: 4 : ?
Answer and working
Answer D
82 = 9² + 1, the rule n² + 1. For 4: 4² + 1 = 17.
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Which one does not belong with the others?
Answer and working
Answer B
In the others the second number is n² of the first; 11 : 119 breaks it. The odd one is 11 : 119.
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Which letter comes next? F, J, N, R, V, ?
Answer and working
Answer C
Each letter moves 4 places forward in the alphabet: F → J → N → R → V → Z.
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In a certain code, SISTER is written as TGVUKU. How is MIRROR written in that code?
Answer and working
Answer D
From SISTER → TGVUKU: the word is written backwards and each letter moves 2 forward. Applied to MIRROR: TQTTKO.
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HJ : JL :: NP : ?
Answer and working
Answer A
Each letter of HJ moves 2 forward to give JL. Doing the same to NP gives PR.
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Which pair comes next? CT, EQ, GN, IK, ?
Answer and working
Answer B
The first letters move forward 2 (C, E, G, I); the second move back 3 (T, Q, N, K). Next: KH.
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Pointing to a woman in a photograph, Kavita said, ‘She is the daughter of my grandfather’s only son.’ How is the woman related to Kavita?
Answer and working
Answer D
My grandfather’s only son is my father; his child, other than me, is my brother or sister. So the woman is Kavita’s sister.
Directions for questions 80 to 80
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Exactly 3 people sit between Chetan and Farhan. Exactly 2 people sit between Arun and Esha. Farhan sits immediately to the right of Arun. Exactly 3 people sit between Bina and Arun.-
Which pair sits at the two ends of the row?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Farhan, Divya, Esha, Bina, Chetan. Arun and Chetan.
-
Statements:
(1) All fans are bells.
(2) No kites are bells.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No fans are kites.
(II) All fans are kites.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some fans may lie outside kites. So: Only conclusion I follows.
-
If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 56 − 4 ÷ 7 × 17 + 2?
Answer and working
Answer B
Replace the signs: 56 ÷ 4 × 7 + 17 − 2. Division and multiplication first, then addition and subtraction: 113.
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D is the daughter of R. U is the son of D. How is U related to R?
Answer and working
Answer C
Follow the links out from R: D is R’s daughter; U is D’s son. So U is R’s grandson.
-
In the English alphabet, which letter is 8th to the left of the 6th letter from the right?
Answer and working
Answer D
The 6th letter from the right is U (position 21). 8 places to the left: position 13, which is M.
-
Statements:
(1) All tables are kites.
(2) Some tables are watches.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some kites are watches.
(II) Some watches are kites.Answer and working
Answer C
Conclusion I holds in every diagram the statements allow. Conclusion II holds in every diagram the statements allow. So: Both conclusions follow.
-
Sana walks 12 km towards the west. She turns right and walks 10 km. She turns right and walks 4 km. She turns right and walks 8 km. She turns left and walks 8 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 0 km east and 2 km north of the start. Distance = √(0² + 2²) = 2 km. 2 km, north.
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7 : 17 :: 9 : ?
Answer and working
Answer D
17 = 2 × 7 + 3, the rule 2n + 3. For 9: 2 × 9 + 3 = 21.
-
Which one does not belong with the others?
Answer and working
Answer C
84, 77, 98 are multiples of 7; 94 is not. The odd one is 94.
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1 January 2011 was a Saturday. What day of the week was 1 January 2012?
Answer and working
Answer D
2011 has 365 days: 1 odd day. Saturday + 1 = Sunday.
-
In a certain code, CANDLE is written as ECPFNG. How is LADDER written in that code?
Answer and working
Answer C
From CANDLE → ECPFNG: each letter moves 2 places forward. Applied to LADDER: NCFFGT.
-
Which number replaces the question mark? 11, 17, ?, 35, 47, 61
Answer and working
Answer C
The rule: the differences grow by 2: 6, 8, 10, 12, 14, 16. The missing term is 25.
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Which number replaces the question mark? 7, 26, 63, 124, 215, ?
Answer and working
Answer D
The rule: the terms are 2³, 3³, 4³ … minus 1. The missing term is 342.
-
In a class, Vikram ranks 8th from the top and 19th from the bottom. How many students are in the class?
Answer and working
Answer A
Vikram is counted in both ranks, so the total is 8 + 19 − 1 = 26.
-
Which one does not belong with the others?
Answer and working
Answer C
1331, 125, 8 are cubes; 256 is a square, not a cube. The odd one is 256.
-
Which one does not belong with the others?
Answer and working
Answer A
1000, 216, 512 are cubes; 100 is a square, not a cube. The odd one is 100.
-
Farah walks 2 km towards the north. She turns right and walks 9 km. She turns left and walks 13 km. She turns left and walks 9 km. How far is she from the starting point in a straight line?
Answer and working
Answer C
Taking east and north as positive: she ends 0 km east and 15 km north of the start. Straight-line distance = √(0² + 15²) = 15 km.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 25 ÷ 3 × 8 + 18 − 9?
Answer and working
Answer C
Replace the signs: 25 − 3 + 8 × 18 ÷ 9. Division and multiplication first, then addition and subtraction: 38.
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In a certain code, APPLE is written as DKOOZ. How is WATER written in that code?
Answer and working
Answer D
From APPLE → DKOOZ: the word is written backwards and each letter moves 1 back. Applied to WATER: QDSZV.
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In a certain code, PILLOW is written as 87. How is OCEAN written in that code?
Answer and working
Answer B
PILLOW = 87 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For OCEAN: 15 + 3 + 5 + 1 + 14 = 38.
-
What is the angle between the hour and minute hands of a clock at 9:40?
Answer and working
Answer A
Angle = |30H − 5.5M| = |270 − 220| = 50°. Answer: 50°. The hour hand moves too, half a degree a minute, which is why it is not 30°.