- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 1982580
- Series
- C
RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 2
- 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
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What is the capital of Estonia?
Answer and working
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International Translation Day is observed on which date?
Answer and working
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Girish Karnad received the Jnanpith Award in which year?
Answer and working
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Which of these rivers flows into the Vembanad?
Answer and working
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Where is the headquarters of the United Nations Environment Programme?
Answer and working
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What is the capital of Manipur?
Answer and working
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In which year was the Battle of Khanwa fought?
Answer and working
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Which of these Ramsar sites is in Rajasthan?
Answer and working
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Panchet Dam is built on which river?
Answer and working
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Lovlina Borgohain is associated with which sport?
Answer and working
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Who was the first Chief Justice of India?
Answer and working
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Which of these national parks is in Ladakh?
Answer and working
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Where is the headquarters of the Interpol?
Answer and working
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Ramappa Temple, a UNESCO World Heritage Site, is in which state?
Answer and working
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Which of these was written by Bibhutibhushan Bandyopadhyay?
Answer and working
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In which year was Ravi Shankar awarded the Bharat Ratna?
Answer and working
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Who was the Chief Justice of India throughout 1979?
Answer and working
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Nokrek National Park is in which state?
Answer and working
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What is the currency of Rwanda?
Answer and working
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In which year was Jharkhand formed as a state or union territory in its present form?
Answer and working
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Hyderabad is the capital of which state or union territory?
Answer and working
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Nikhil Banerjee is known for playing which instrument?
Answer and working
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Where is the headquarters of the Shanghai Cooperation Organisation?
Answer and working
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What is the capital of Luxembourg?
Answer and working
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Which element has the symbol V?
Answer and working
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The Bhavani river flows into which?
Answer and working
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Who was the Prime Minister of India throughout 2022?
Answer and working
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Who was the Vice President of India throughout 1999?
Answer and working
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What is the currency of India?
Answer and working
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Which day is observed on June 1?
Answer and working
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Which of these was written by Michael Madhusudan Dutt?
Answer and working
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In which year was IRNSS-1A launched?
Answer and working
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Biligiri Rangaswamy Temple Wildlife Sanctuary is in which state?
Answer and working
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Jaipur, a UNESCO World Heritage Site, is in which state?
Answer and working
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Gir National Park is in which state?
Answer and working
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In which year was the Battle of Assaye fought?
Answer and working
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What is the atomic number of molybdenum?
Answer and working
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In which year was Agra Fort inscribed as a UNESCO World Heritage Site?
Answer and working
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Manoj Kumar received the Dadasaheb Phalke Award for which year?
Answer and working
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Which of these sportspersons is associated with mountaineering?
Answer and working
Part BMathematics
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₹14,200 is divided among Meera, Arjun and Kavya in the ratio 2 : 5 : 1. What is Arjun’s share?
Answer and working
Answer A
Total parts = 2 + 5 + 1 = 8. Arjun gets 5/8 × 14,200 = ₹8,875.
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A shopkeeper marks his goods 25% above the cost price and allows a discount of 10%. What is his profit or loss percent?
Answer and working
Answer C
Take CP = 100. Marked price = 125. After 10% off: 125 × 90/100 = 112.5. So 12.5% profit.
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What is the mean of these numbers: 54, 59, 51, 27, 13, 17, 52?
Answer and working
Answer D
Sum 273 ÷ 7 = 39.
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What is the average of the first 51 natural numbers?
Answer and working
Answer B
Sum = 51 × 52/2, so the average is (51 + 1)/2 = 26.
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The population of a town is 75,525. It grows by 20% every year. What will it be after 2 years?
Answer and working
Answer D
75,525 × (1 + 20/100)² = 75,525 × 1.44 = 1,08,756. Growing 20% on 75,525 twice, not 40% once.
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A sum of money at simple interest amounts to ₹36,580 in 4 years and to ₹40,120 in 6 years. What is the sum?
Answer and working
Answer D
Interest for 2 years = 40,120 − 36,580 = ₹3,540, so ₹1,770 a year. Interest for 4 years = ₹7,080. Sum = 36,580 − 7,080 = ₹29,500.
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What is the compound interest on ₹80,000 for 2 years at 4% per annum, compounded annually?
Answer and working
Answer D
Amount = 80,000 × (1 + 4/100)2 = ₹86,528. CI = 86,528 − 80,000 = ₹6,528.
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A rectangular plot has a perimeter of 160 m and a length of 45 m. What is its area?
Answer and working
Answer B
Length + breadth = 160 ÷ 2 = 80, so breadth = 35 m. Area = 45 × 35 = 1,575 m².
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A boat covers 44 km downstream in 2 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water?
Answer and working
Answer D
Downstream speed = 44 ÷ 2 = 22 km/h; upstream = 50 ÷ 5 = 10 km/h. Boat = (22 + 10) ÷ 2 = 16 km/h.
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The incomes of P and Q are in the ratio 5 : 6 and their expenditures are in the ratio 7 : 9. If each saves ₹9,000 a month, what is P’s monthly income?
Answer and working
Answer C
Incomes 5x and 6x. (5x − 9,000) : (6x − 9,000) = 7 : 9 gives x = 6,000. P’s income = 5 × 6,000 = ₹30,000.
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A shopkeeper marks his goods 30% above the cost price and allows a discount of 15%. What is his profit or loss percent?
Answer and working
Answer B
Take CP = 100. Marked price = 130. After 15% off: 130 × 85/100 = 110.5. So 10.5% profit.
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Pipe A fills a tank in 26 hours; pipe B empties the full tank in 39 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer D
Net filling per hour = 1/26 − 1/39 = 1/78. Time = 78 hours.
-
Simplify: 1⁄2 + 3⁄5 + 2⁄5
Answer and working
Answer B
Over the common denominator 20: the sum is 3⁄2. Adding tops and bottoms separately (9/19) is the trap.
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If a − b = 2 and ab = 35, what is a³ − b³?
Answer and working
Answer B
a³ − b³ = (a − b)³ + 3ab(a − b) = 8 + 210 = 218.
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A scooter runs at 72 km/h. What is its speed in metres per second?
Answer and working
Answer A
Multiply by 5/18: 72 × 5/18 = 20 m/s.
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What is 24% of 600?
Answer and working
Answer C
24% of 600 = 600 × 24/100 = 144.
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The sum of the present ages of a father and his son is 64 years. 6 years ago, the father was 3 times as old as the son. How old is the son now?
Answer and working
Answer A
Let the son be s. Then (64 − s − 6) = 3(s − 6), so 76 = 4s and s = 19 years.
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The average weight of 12 people goes up by 2.5 kg when a new person takes the place of one who weighs 48 kg. What does the new person weigh?
Answer and working
Answer B
The total rises by 12 × 2.5 = 30 kg, so the new person weighs 48 + 30 = 78 kg.
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What is 12.5% of 840?
Answer and working
Answer D
12.5% of 840 = 840 × 12.5/100 = 105.
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If cos θ = 21⁄29 and θ is acute, what is sec θ?
Answer and working
Answer C
Draw a right triangle with sides 20, 21 and hypotenuse 29 (20² + 21² = 29²). Then sec θ = 29⁄21.
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If a + b = 7 and ab = 10, what is a² + b²?
Answer and working
Answer D
a² + b² = (a + b)² − 2ab = 49 − 20 = 29.
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Simplify: 36 + 7 × 7 − 12 ÷ 3
Answer and working
Answer D
Division and multiplication first: 7 × 7 = 49 and 12 ÷ 3 = 4. Then 36 + 49 − 4 = 81.
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The angles of a triangle are in the ratio 6 : 1 : 5. What is the largest angle?
Answer and working
Answer B
12 parts make 180°, so one part is 15°. The largest is 6 × 15 = 90°.
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What is the unit digit of 2351?
Answer and working
Answer D
The unit digits of the powers of 23 repeat in a cycle of 4: 3, 9, 7, 1. 51 is position 3 in that cycle (51 ÷ 4 leaves 3), so the unit digit is 7.
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Ramesh can finish a piece of work in 14 days and Suresh can finish it in 84 days. Working together, how long will they take?
Answer and working
Answer B
In one day they do 1/14 + 1/84 = 1/12 of the work. Time = 14 × 84 ÷ (14 + 84) = 12 days.
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A rectangular plot has a perimeter of 166 m and a length of 45 m. What is its area?
Answer and working
Answer C
Length + breadth = 166 ÷ 2 = 83, so breadth = 38 m. Area = 45 × 38 = 1,710 m².
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What is the unit digit of 957?
Answer and working
Answer D
The unit digits of the powers of 9 repeat in a cycle of 2: 9, 1. 57 is position 1 in that cycle (57 ÷ 2 leaves 1), so the unit digit is 9.
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A cylinder has radius 21 cm and height 12 cm. What is its volume? (π = 22/7)
Answer and working
Answer D
Volume = πr²h = 22/7 × 21² × 12 = 16,632 cm³.
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A train 110 m long crosses a platform 130 m long in 24 seconds. What is the speed of the train?
Answer and working
Answer D
It must cover its own length and the platform: 110 + 130 = 240 m in 24 s, so 10 m/s = 10 × 18/5 = 36 km/h.
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24 litres of a mixture contains milk and water in the ratio 5 : 1. How much water must be added to make the ratio 5 : 2?
Answer and working
Answer B
Milk = 20 l, water = 4 l. For 5 : 2, water must be 20 × 2/5 = 8 l. Add 8 − 4 = 4 litres.
Part CGeneral Intelligence and Reasoning
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Lata walks 10 km towards the north. She turns right and walks 7 km. She turns left and walks 14 km. How far is she from the starting point in a straight line?
Answer and working
Answer D
Taking east and north as positive: she ends 7 km east and 24 km north of the start. Straight-line distance = √(7² + 24²) = 25 km.
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In a certain code, FLOWER is written as IORZHU. How is BREAD written in that code?
Answer and working
Answer C
From FLOWER → IORZHU: each letter moves 3 places forward. Applied to BREAD: EUHDG.
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Statements:
(1) Some clouds are lamps.
(2) No doors are clouds.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some lamps are clouds.
(II) Some clouds are not lamps.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the clouds may be lamps. So: Only conclusion I follows.
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Neha walks 13 km towards the east. She turns left and walks 10 km. She turns left and walks 11 km. She turns left and walks 3 km. Which direction is she facing now?
Answer and working
Answer C
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs South.
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Which group comes next? DFH, IKM, NPR, ?
Answer and working
Answer D
Inside each group the letters step by 2; each group starts 5 letters after the last (D, I, N). Next: SUW.
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7 : 49 :: 9 : ?
Answer and working
Answer C
49 = 7², the rule n². For 9: 9² = 81.
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Statements:
(1) Some rings are clocks.
(2) Some clocks are pens.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some clocks are not rings.
(II) Some clocks are rings.Answer and working
Answer B
Conclusion I need not hold: every one of the clocks may be rings. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
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Which number replaces the question mark? 18, 41, 24, 39, 30, 37, 36, ?
Answer and working
Answer D
The rule: two series alternate: 18, 24, 30 … rising by 6, and 41, 39, 37 … falling by 2. The missing term is 35.
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In a certain code, PLANET is written as VGPCNR. How is BOOK written in that code?
Answer and working
Answer A
From PLANET → VGPCNR: the word is written backwards and each letter moves 2 forward. Applied to BOOK: MQQD.
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Which number replaces the question mark? 25, 36, 49, 64, 81, ?
Answer and working
Answer A
The rule: the terms are 5², 6², 7² …. The missing term is 100.
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If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 25 ÷ 3 × 6 − 18 + 4?
Answer and working
Answer A
Replace the signs: 25 − 3 + 6 × 18 ÷ 4. Division and multiplication first, then addition and subtraction: 49.
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7 : 336 :: 4 : ?
Answer and working
Answer B
336 = 7³ − 7, the rule n³ − n. For 4: 4³ − 4 = 60.
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DFH : EGI :: LNP : ?
Answer and working
Answer C
Each letter of DFH moves 1 forward to give EGI. Doing the same to LNP gives MOQ.
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7 : 343 :: 10 : ?
Answer and working
Answer C
343 = 7³, the rule n³. For 10: 10³ = 1,000.
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Which one does not belong with the others?
Answer and working
Answer A
196, 64, 289 are perfect squares; 357 is not. The odd one is 357.
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Which one does not belong with the others?
Answer and working
Answer A
125, 27, 1000 are cubes; 144 is a square, not a cube. The odd one is 144.
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Today is Saturday. What day of the week will it be 156 days from today?
Answer and working
Answer D
156 ÷ 7 leaves 2. 2 days on from Saturday is Monday.
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Which one does not belong with the others?
Answer and working
Answer D
In the others the second number is n³ of the first; 9 : 730 breaks it. The odd one is 9 : 730.
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In a queue, Ravi is 16th from the front and Dev is 28th from the front. How many people stand between them?
Answer and working
Answer A
Between positions 16 and 28 there are 28 − 16 − 1 = 11 people.
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At what time between 4 and 5 o’clock are the hands of a clock together?
Answer and working
Answer C
The minute hand gains 11/2° a minute and must gain 120°. Time = 120 ÷ 5.5 = 60 × 4/11 = 219⁄11 minutes past 4.
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Pointing to a woman in a photograph, Tarun said, ‘She is the wife of my father’s only son.’ How is the woman related to Tarun?
Answer and working
Answer D
My father’s only son is me. So the woman is Tarun’s wife.
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Which number replaces the question mark? 13, 17, ?, 42, 67, 103
Answer and working
Answer A
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 26.
Directions for questions 93 to 93
Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Arun and Divya sit next to each other. Exactly one person sits between Bina and Chetan. Chetan sits third to the left of Arun.-
Who sits immediately to the right of Chetan?
Answer and working
Answer B
Only one order fits every clue, from the left: Chetan, Esha, Bina, Arun, Divya. Esha.
-
Which one does not belong with the others?
Answer and working
Answer B
In the others the letters are 3 apart (ADG); in MPT the last gap is 4. The odd one is MPT.
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V is the mother of F. F is the husband of E. How is V related to E?
Answer and working
Answer A
Follow the links out from E: F is E’s husband; V is F’s mother. So V is E’s mother-in-law.
-
In the English alphabet, which letter is 4th to the left of the 10th letter from the right?
Answer and working
Answer D
The 10th letter from the right is Q (position 17). 4 places to the left: position 13, which is M.
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If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 10 × 2 + 10 − 10 ÷ 3?
Answer and working
Answer B
Replace the signs: 10 − 2 × 10 ÷ 10 + 3. Division and multiplication first, then addition and subtraction: 11.
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Which group comes next? GHI, LMN, QRS, ?
Answer and working
Answer B
Inside each group the letters step by 1; each group starts 5 letters after the last (G, L, Q). Next: VWX.
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In a certain code, LADDER is written as OZWWVI. How is GREEN written in that code?
Answer and working
Answer D
From LADDER → OZWWVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to GREEN: TIVVM.
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In a certain code, PILLOW is written as SLOORZ. How is GLASS written in that code?
Answer and working
Answer C
From PILLOW → SLOORZ: each letter moves 3 places forward. Applied to GLASS: JODVV.