- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 2198513
- Series
- C
RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 4
- 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 atomic number of silver?
Answer and working
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In which year was the Battle of Khanwa fought?
Answer and working
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What is the currency of Uganda?
Answer and working
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Which of these rivers flows into the Sutlej?
Answer and working
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Where is the headquarters of the European Commission?
Answer and working
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Dilip Kumar received the Dadasaheb Phalke Award for which year?
Answer and working
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In which year was Hampi inscribed as a UNESCO World Heritage Site?
Answer and working
-
Which day is observed on May 18?
Answer and working
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Which of these national parks is in Bihar?
Answer and working
-
Consider the following pairs of rivers and where they flow:
How many of the pairs given above are correctly matched?River Flows into 1. Luni River Ganges 2. Kaveri Ganges 3. Mahanadi Gulf of Khambhat Answer and working
Answer D
1. wrong: Luni River goes with Rann of Kutch; 2. wrong: Kaveri goes with Bay of Bengal; 3. wrong: Mahanadi goes with Bay of Bengal. So: None of the pairs.
Source: Wikidata (CC0)
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Who was the President of India throughout 1964?
Answer and working
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What is the currency of Bahrain?
Answer and working
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Who was the first Prime Minister of India?
Answer and working
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Kyiv is the capital of which country?
Answer and working
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Who wrote ‘The Reconstruction of Religious Thought in Islam’?
Answer and working
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Consider the following pairs of countries and their capitals:
How many of the pairs given above are correctly matched?Country Capital 1. Algeria Algiers 2. The Bahamas Nassau 3. Iran Tehran Answer and working
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Who was the President of India throughout 2025?
Answer and working
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What is the capital of Libya?
Answer and working
-
Consider the following pairs of books and their authors:
How many of the pairs given above are correctly matched?Book Author 1. Umrao Jaan Ada Vikram Seth 2. Nazrul Geeti Jawaharlal Nehru 3. Five Point Someone Kiran Desai Answer and working
Answer D
1. wrong: Umrao Jaan Ada goes with Mirza Hadi Ruswa; 2. wrong: Nazrul Geeti goes with Kazi Nazrul Islam; 3. wrong: Five Point Someone goes with Chetan Bhagat. So: None of the pairs.
Source: Wikidata (CC0)
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What is the capital of Meghalaya?
Answer and working
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Umashankar Joshi received the Jnanpith Award in which year?
Answer and working
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Gandhinagar is the capital of which state or union territory?
Answer and working
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In which year was the Battle of Karnal fought?
Answer and working
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Bhojtal, a Ramsar wetland, is in which state?
Answer and working
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In which year was GSAT-19 launched?
Answer and working
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Hirakud Dam is built on which river?
Answer and working
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Which of these musicians is known for the sarangi?
Answer and working
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Narain Karthikeyan is associated with which sport?
Answer and working
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Where is the headquarters of the Asia-Pacific Economic Cooperation?
Answer and working
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In which year was V. V. Giri awarded the Bharat Ratna?
Answer and working
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In which year was Himachal Pradesh formed as a state or union territory in its present form?
Answer and working
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Consider the following pairs of states and their capitals:
How many of the pairs given above are correctly matched?State or union territory Capital 1. Goa Dispur 2. Mizoram Kolkata 3. Chhattisgarh Raipur Answer and working
Answer A
1. wrong: Goa goes with Panaji; 2. wrong: Mizoram goes with Aizawl; 3. correct. So: Only one pair.
Source: Wikidata (CC0)
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Anju Bobby George is associated with which sport?
Answer and working
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Who was the President of India throughout 1984?
Answer and working
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International Literacy Day is observed on which date?
Answer and working
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Betla National Park is in which state?
Answer and working
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Consider the following pairs of heritage sites and their states:
How many of the pairs given above are correctly matched?World Heritage Site State 1. Ellora Caves Maharashtra 2. Kaziranga National Park Uttar Pradesh 3. Elephanta Caves Madhya Pradesh Answer and working
Answer A
1. correct; 2. wrong: Kaziranga National Park goes with Assam; 3. wrong: Elephanta Caves goes with Maharashtra. So: Only one pair.
Source: Wikidata (CC0)
-
Consider the following pairs of tiger reserves and their states:
How many of the pairs given above are correctly matched?Tiger reserve State 1. Buxa Tiger Reserve West Bengal 2. Mukundra Hills Tiger Reserve Rajasthan 3. Tadoba-Andhari Tiger Reserve Maharashtra Answer and working
-
Which element has the symbol Mg?
Answer and working
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Historic City of Ahmadabad, a UNESCO World Heritage Site, is in which state?
Answer and working
Part BMathematics
-
A cone has base radius 21 cm and height 20 cm. What is its volume? (π = 22/7)
Answer and working
Answer C
Volume = ⅓πr²h = ⅓ × 22/7 × 21² × 20 = 9,240 cm³.
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An article bought for ₹1,100 is sold at a profit of 12%. What is its selling price?
Answer and working
Answer D
SP = CP × (100 + profit%)/100 = 1,100 × 112/100 = ₹1,232.
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A trader buys a bicycle for ₹2,075 and sells it for ₹2,241. What is the profit or loss percent?
Answer and working
Answer D
Profit = ₹166. As a percent of the cost price: 166 ÷ 2,075 × 100 = 8% profit.
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What is the simple interest on ₹33,500 at 10% per annum for 4 years?
Answer and working
Answer C
SI = P × R × T / 100 = 33,500 × 10 × 4 / 100 = ₹13,400.
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The incomes of P and Q are in the ratio 7 : 2 and their expenditures are in the ratio 11 : 1. If each saves ₹9,000 a month, what is P’s monthly income?
Answer and working
Answer D
Incomes 7x and 2x. (7x − 9,000) : (2x − 9,000) = 11 : 1 gives x = 6,000. P’s income = 7 × 6,000 = ₹42,000.
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In what ratio must rice at ₹46/kg be mixed with rice at ₹69/kg so that the mixture is worth ₹58/kg?
Answer and working
Answer D
By alligation: cheaper : dearer = (69 − 58) : (58 − 46) = 11 : 12 = 11 : 12.
-
What is the smallest number which, when divided by 8, 20 or 4, leaves a remainder of 3 in each case?
Answer and working
Answer B
LCM of 8, 20, 4 = 40. Add the remainder: 40 + 3 = 43.
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The average weight of 11 people goes up by 3 kg when a new person takes the place of one who weighs 51 kg. What does the new person weigh?
Answer and working
Answer C
The total rises by 11 × 3 = 33 kg, so the new person weighs 51 + 33 = 84 kg.
-
Two taps can fill a cistern in 42 minutes and 56 minutes respectively. If both are opened together, how long will it take to fill the cistern?
Answer and working
Answer B
Together per minute: 1/42 + 1/56 = 1/24. Time = 42 × 56 ÷ 98 = 24 minutes.
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Two trains 160 m and 280 m long run on parallel tracks in opposite directions at 86 km/h and 58 km/h. How long do they take to cross each other?
Answer and working
Answer A
Relative speed = 86 + 58 = 144 km/h = 40 m/s. Distance = 160 + 280 = 440 m. Time = 440 ÷ 40 = 11 seconds.
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Simplify: 1⁄10 + 4⁄5 + 1⁄4
Answer and working
Answer A
Over the common denominator 20: the sum is 23⁄20. Adding tops and bottoms separately (6/19) is the trap.
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What is the average of the first 54 even numbers?
Answer and working
Answer C
The first 54 even numbers add up to 54 × 55 = 2970; the average is 55.
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The angles of a triangle are in the ratio 6 : 1 : 2. What is the largest angle?
Answer and working
Answer A
9 parts make 180°, so one part is 20°. The largest is 6 × 20 = 120°.
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Simplify: 3⁄5 + 2⁄3 + 1⁄2
Answer and working
Answer A
Over the common denominator 30: the sum is 53⁄30. Adding tops and bottoms separately (8/14) is the trap.
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What is the mode of these numbers: 30, 56, 28, 29, 56, 23, 56, 60, 13?
Answer and working
Answer D
56 occurs most often (3 times): 56.
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What is the average of 40, 70, 95, 61, 33, 34 and 66?
Answer and working
Answer D
Sum = 399. Average = 399 ÷ 7 = 57.
-
A bus goes from Pune to Nashik at 42 km/h and returns by the same road at 84 km/h. What is its average speed for the whole journey?
Answer and working
Answer C
For equal distances, average speed = 2xy/(x + y) = 2 × 42 × 84 ÷ 126 = 56 km/h. The plain average, 63, ignores that the slower leg takes longer.
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A cone has base radius 21 cm and height 72 cm. What is its volume? (π = 22/7)
Answer and working
Answer A
Volume = ⅓πr²h = ⅓ × 22/7 × 21² × 72 = 33,264 cm³.
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What is the compound interest on ₹33,750 for 2 years at 12% per annum, compounded annually?
Answer and working
Answer D
Amount = 33,750 × (1 + 12/100)2 = ₹42,336. CI = 42,336 − 33,750 = ₹8,586.
-
The present ages of Asha and her elder brother are in the ratio 7 : 9. After 3 years, the ratio will be 4 : 5. What is Asha’s present age?
Answer and working
Answer A
Ages 7x and 9x. (7x + 3) : (9x + 3) = 4 : 5 gives x = 3. Asha is 7 × 3 = 21 years.
-
From a point on the ground 75 m from the foot of a tower, the angle of elevation of its top is 45°. How tall is the tower?
Answer and working
Answer A
Height = 75 × tan 45° = 75 × 1 = 75 m.
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How many numbers from 450 to 800 (both included) are divisible by 9?
Answer and working
Answer B
Multiples of 9 up to 800: 88. Up to 449: 49. Difference = 39.
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The population of a town is 27,000. It grows by 10% every year. What will it be after 2 years?
Answer and working
Answer A
27,000 × (1 + 10/100)² = 27,000 × 1.21 = 32,670. Growing 10% on 27,000 twice, not 20% once.
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If x + 1⁄x = 9, what is x³ + 1⁄x³?
Answer and working
Answer A
x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 729 − 27 = 702.
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Ramesh can finish a piece of work in 12 days and Suresh can finish it in 60 days. Working together, how long will they take?
Answer and working
Answer A
In one day they do 1/12 + 1/60 = 1/10 of the work. Time = 12 × 60 ÷ (12 + 60) = 10 days.
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What is the fourth proportional to 10, 22 and 300?
Answer and working
Answer D
10 : 22 = 300 : x, so x = 22 × 300 ÷ 10 = 660.
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A shopkeeper marks an article 40% above its cost price and allows a discount of 20%. If the article was sold for ₹1,848, what was its cost price?
Answer and working
Answer C
SP = CP × 1.4 × 0.8 = CP × 1.12. So CP = 1,848 ÷ 1.12 = ₹1,650.
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If x + 1⁄x = 7, what is x³ + 1⁄x³?
Answer and working
Answer B
x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 343 − 21 = 322.
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A boat covers 26 km downstream in 2 hours and 9 km upstream in 3 hours. What is the speed of the stream?
Answer and working
Answer B
Downstream speed = 26 ÷ 2 = 13 km/h; upstream = 9 ÷ 3 = 3 km/h. Stream = (13 − 3) ÷ 2 = 5 km/h.
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What is 15% of 1,120?
Answer and working
Answer B
15% of 1,120 = 1,120 × 15/100 = 168.
Part CGeneral Intelligence and Reasoning
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Which one does not belong with the others?
Answer and working
Answer A
81, 144, 225 are perfect squares; 69 is not. The odd one is 69.
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8 : 504 :: 4 : ?
Answer and working
Answer C
504 = 8³ − 8, the rule n³ − n. For 4: 4³ − 4 = 60.
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Which number replaces the question mark? 19, 48, 21, 45, 23, 42, ?
Answer and working
Answer B
The rule: two series alternate: 19, 21, 23 … rising by 2, and 48, 45, 42 … falling by 3. The missing term is 25.
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If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘×’ means ‘−’, ‘÷’ means ‘×’, what is the value of 4 ÷ 3 + 12 × 9 − 8?
Answer and working
Answer C
Replace the signs: 4 × 3 ÷ 12 − 9 + 8. Division and multiplication first, then addition and subtraction: 0.
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What is the angle between the hour and minute hands of a clock at 5:30?
Answer and working
Answer A
Angle = |30H − 5.5M| = |150 − 165| = 15°. Answer: 15°. The hour hand moves too, half a degree a minute, which is why it is not 30°.
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N is the sister of A. A is the husband of R. How is N related to R?
Answer and working
Answer A
Follow the links out from R: A is R’s husband; N is A’s sister. So N is R’s sister-in-law.
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Statements:
(1) All flowers are bells.
(2) Some shirts are flowers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some flowers are bells.
(II) Some shirts are not bells.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the shirts may be bells. So: Only conclusion I follows.
Directions for questions 78 to 78
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Divya and Esha sit next to each other. Bina does not sit next to Esha. Exactly one person sits between Farhan and Bina. Farhan sits immediately to the left of Arun. Esha sits third to the left of Farhan.-
How many people sit between Farhan and Esha?
Answer and working
Answer B
Only one order fits every clue, from the left: Esha, Divya, Chetan, Farhan, Arun, Bina. Between them: 2.
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In a certain code, BOOK is written as DQQM. How is SHIP written in that code?
Answer and working
Answer D
From BOOK → DQQM: each letter moves 2 places forward. Applied to SHIP: UJKR.
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Which number replaces the question mark? 16, 25, 36, 49, ?, 81
Answer and working
Answer B
The rule: the terms are 4², 5², 6² …. The missing term is 64.
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In the English alphabet, which letter is 4th to the right of the 5th letter from the right?
Answer and working
Answer D
The 5th letter from the right is V (position 22). 4 places to the right: position 26, which is Z.
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Statements:
(1) All clocks are shirts.
(2) All doors are shirts.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All doors are clocks.
(II) Some shirts are clocks.Answer and working
Answer B
Conclusion I need not hold: some doors may lie outside clocks. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
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Which group comes next? CEG, HJL, MOQ, ?
Answer and working
Answer D
Inside each group the letters step by 2; each group starts 5 letters after the last (C, H, M). Next: RTV.
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1 January 2004 was a Thursday. What day of the week was 1 January 2005?
Answer and working
Answer D
2004 is a leap year: 366 days, 2 odd days. Thursday + 2 = Saturday.
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Which one does not belong with the others?
Answer and working
Answer D
196, 256, 64 are perfect squares; 161 is not. The odd one is 161.
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Sana walks 15 km towards the east. She turns right and walks 4 km. She turns right and walks 2 km. She turns right and walks 4 km. She turns left and walks 6 km. How far is she from the starting point in a straight line?
Answer and working
Answer A
Taking east and north as positive: she ends 7 km east and 0 km north of the start. Straight-line distance = √(7² + 0²) = 7 km.
-
9 : 720 :: 7 : ?
Answer and working
Answer D
720 = 9³ − 9, the rule n³ − n. For 7: 7³ − 7 = 336.
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Vijay walks 7 km towards the east. He turns right and walks 3 km. He turns left and walks 2 km. He turns left and walks 3 km. He turns right and walks 7 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer A
Taking east and north as positive: he ends 16 km east and 0 km north of the start. Distance = √(16² + 0²) = 16 km. 16 km, east.
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5 : 25 :: 3 : ?
Answer and working
Answer B
25 = 5², the rule n². For 3: 3² = 9.
-
Statements:
(1) Some stones are papers.
(2) No clouds are stones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All clouds are papers.
(II) No stones are clouds.Answer and working
Answer B
Conclusion I need not hold: some clouds may lie outside papers. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 15 ÷ 12 + 12 − 6 × 3?
Answer and working
Answer D
Replace the signs: 15 + 12 ÷ 12 × 6 − 3. Division and multiplication first, then addition and subtraction: 18.
-
Which one does not belong with the others?
Answer and working
Answer A
In the others the second number is 3n + 1 of the first; 2 : 5 breaks it. The odd one is 2 : 5.
-
G is the brother of Y. Y is the wife of E. B is the daughter of G. How is B related to E?
Answer and working
Answer A
Follow the links out from E: Y is E’s wife; G is Y’s brother; B is G’s daughter. So B is E’s niece.
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In a certain code, PLANET is written as 136. How is ROAD written in that code?
Answer and working
Answer C
PLANET = 136 is twice the sum of the letters’ positions in the alphabet. For ROAD: 18 + 15 + 1 + 4 doubled = 76.
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In a row of 51 students, Lata is 36th from the left. What is Lata’s position from the right?
Answer and working
Answer C
Position from the right = total − position from the left + 1 = 51 − 36 + 1 = 16th.
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7 : 336 :: 12 : ?
Answer and working
Answer B
336 = 7³ − 7, the rule n³ − n. For 12: 12³ − 12 = 1,716.
-
Which one does not belong with the others?
Answer and working
Answer D
In the others the second number is n² of the first; 5 : 28 breaks it. The odd one is 5 : 28.
-
Which letter comes next? H, K, N, Q, T, ?
Answer and working
Answer B
Each letter moves 3 places forward in the alphabet: H → K → N → Q → T → W.
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In a certain code, TIGER is written as VGICT. How is MANGO written in that code?
Answer and working
Answer C
From TIGER → VGICT: letters in odd places move 2 forward, letters in even places move 2 back. Applied to MANGO: OYPEQ.
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In a certain code, MOTHER is written as TGJVQO. How is PENCIL written in that code?
Answer and working
Answer A
From MOTHER → TGJVQO: the word is written backwards and each letter moves 2 forward. Applied to PENCIL: NKEPGR.