- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 7412721
- Series
- C
IBPS RRB PO (Officer Scale-I) Prelims Paper 9
- Questions
- 80
- Maximum marks
- 80
- Minutes allowed
- 45
Instructions निर्देश
- This booklet has 80 questions in 2 parts: A. Reasoning (40), B. Quantitative Aptitude (40).
- Each part has its own clock. When it runs out, that part closes and the next opens.
- Each question has 5 options and one right answer. A right answer earns 1 mark. A wrong answer costs 0.25. 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 AReasoning
-
Statement: G < R ≥ W ≥ P ≥ J
Conclusions: I. P = R II. P < RAnswer and working
Answer C
P and R: the chain gives P ≤ R, so P = R is not definitely true. P and R: the chain gives P ≤ R, so P < R is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 42 + 3 × 8 − 17 ÷ 9?
Answer and working
Answer B
Replace the signs: 42 ÷ 3 + 8 × 17 − 9. Division and multiplication first, then addition and subtraction: 141.
-
Pointing to a woman in a photograph, Asha said, ‘She is the only daughter of my father’s mother.’ How is the woman related to Asha?
Answer and working
Answer D
My father’s mother’s only daughter is my father’s sister. So the woman is Asha’s aunt.
-
Statement: X < E ≥ T > A > K
Conclusions: I. E ≥ A II. X ≥ AAnswer and working
Answer A
E and A: the chain gives E > A, so E ≥ A is definitely true. X and A: the signs between them point both ways, so no relation can be fixed, so X ≥ A is not definitely true. So: Only conclusion I follows.
-
Statement: K < Y ≥ F ≥ P < S
Conclusions: I. P = Y II. P < YAnswer and working
Answer C
P and Y: the chain gives P ≤ Y, so P = Y is not definitely true. P and Y: the chain gives P ≤ Y, so P < Y is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
In a certain code, PAPER is written as KZKVI. How is KNIFE written in that code?
Answer and working
Answer C
From PAPER → KZKVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to KNIFE: PMRUV.
-
If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 9 × 3 + 11 ÷ 3 − 10?
Answer and working
Answer E
Replace the signs: 9 ÷ 3 − 11 + 3 × 10. Division and multiplication first, then addition and subtraction: 22.
-
Statements:
(1) Some leaves are watches.
(2) Some trees are watches.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some watches are trees.
(II) Some trees are leaves.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: trees and leaves need not overlap at all. So: Only conclusion I follows.
-
In a certain code, GREEN is written as ITGGP. How is FRIEND written in that code?
Answer and working
Answer A
From GREEN → ITGGP: each letter moves 2 places forward. Applied to FRIEND: HTKGPF.
-
Sana walks 5 km towards the north. She turns right and walks 8 km. She turns left and walks 12 km. She turns left and walks 8 km. She turns left and walks 2 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.
-
Statements:
(1) All clouds are buses.
(2) All buses are roads.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some roads are not buses.
(II) Some clouds are buses.Answer and working
Answer B
Conclusion I need not hold: every one of the roads may be buses. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statements:
(1) Some kites are trees.
(2) No kites are leaves.
(3) No rings are leaves.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some rings are not trees.
(II) No kites are rings.Answer and working
Answer D
Conclusion I need not hold: every one of the rings may be trees. Conclusion II need not hold: kites and rings may overlap. So: Neither conclusion follows.
-
In a class, Kabir ranks 16th from the top and 12th from the bottom. How many students are in the class?
Answer and working
Answer A
Kabir is counted in both ranks, so the total is 16 + 12 − 1 = 27.
-
Manoj walks 12 km towards the north. He turns right and walks 7 km. He turns left and walks 12 km. How far is he from the starting point in a straight line?
Answer and working
Answer E
Taking east and north as positive: he ends 7 km east and 24 km north of the start. Straight-line distance = √(7² + 24²) = 25 km.
-
Statement: W ≥ Z = T ≤ D > A
Conclusions: I. D = Z II. D > ZAnswer and working
Answer C
D and Z: the chain gives D ≥ Z, so D = Z is not definitely true. D and Z: the chain gives D ≥ Z, so D > Z is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Farah walks 13 km towards the south. She turns right and walks 9 km. She turns left and walks 9 km. She turns left and walks 9 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 0 km east and 22 km south of the start. Straight-line distance = √(0² + 22²) = 22 km.
Directions for questions 17 to 21
Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Divya does not sit at either end. Divya sits third to the left of Esha. Bina sits immediately to the right of Chetan.-
Which pair sits at the two ends of the row?
Answer and working
Answer C
Only one order fits every clue, from the left: Arun, Divya, Chetan, Bina, Esha. Arun and Esha.
-
Who sits at the extreme left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Divya, Chetan, Bina, Esha. Arun.
-
Who sits at the extreme right end?
Answer and working
Answer C
Only one order fits every clue, from the left: Arun, Divya, Chetan, Bina, Esha. Esha.
-
What is Divya’s position from the left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Divya, Chetan, Bina, Esha. 2nd.
-
How many people sit between Chetan and Divya?
Answer and working
Answer A
Only one order fits every clue, from the left: Arun, Divya, Chetan, Bina, Esha. Between them: None.
-
Statements:
(1) All trees are lamps.
(2) Some trees are buses.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All lamps are trees.
(II) Some trees are lamps.Answer and working
Answer B
Conclusion I need not hold: some lamps may lie outside trees. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statements:
(1) Some bags are not roads.
(2) All roads are doors.
(3) All doors are leaves.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some leaves are roads.
(II) All bags are leaves.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some bags may lie outside leaves. So: Only conclusion I follows.
-
Statement: Q = Y > T ≤ X ≥ L
Conclusions: I. X > Q II. X < YAnswer and working
Answer D
X and Q: the signs between them point both ways, so no relation can be fixed, so X > Q is not definitely true. X and Y: the signs between them point both ways, so no relation can be fixed, so X < Y is not definitely true. So: Neither conclusion follows.
-
Find the wrong number in the series: 3, 4, 6, 11, 18, 34, 66
Answer and working
Answer E
The rule: each term is the previous × 2 − 2. The term in place of 11 should be 10, so the wrong number is 11.
-
C is the brother of Q. G is the son of C. How is G related to Q?
Answer and working
Answer A
Follow the links out from Q: C is Q’s brother; G is C’s son. So G is Q’s nephew.
-
Which number replaces the question mark? 16, 47, 23, 43, 30, 39, 37, ?
Answer and working
Answer D
The rule: two series alternate: 16, 23, 30 … rising by 7, and 47, 43, 39 … falling by 4. The missing term is 35.
-
Which one does not belong with the others?
Answer and working
Answer E
In the others the letters are 1 apart (MNO); in ABD the last gap is 2. The odd one is ABD.
-
Statements:
(1) All leaves are pens.
(2) All fans are leaves.
(3) Some shirts are fans.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All pens are leaves.
(II) No leaves are shirts.Answer and working
Answer D
Conclusion I need not hold: some pens may lie outside leaves. Conclusion II need not hold: leaves and shirts may overlap. So: Neither conclusion follows.
-
In the English alphabet, which letter is 4th to the left of the 16th letter from the left?
Answer and working
Answer B
The 16th letter from the left is P (position 16). 4 places to the left: position 12, which is L.
-
In a queue, Lata is 7th from the front and Priya is 17th from the front. How many people stand between them?
Answer and working
Answer B
Between positions 7 and 17 there are 17 − 7 − 1 = 9 people.
-
In a certain code, CARPET is written as 63. How is MARKET written in that code?
Answer and working
Answer C
CARPET = 63 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For MARKET: 13 + 1 + 18 + 11 + 5 + 20 = 68.
-
Statements:
(1) Some cups are watches.
(2) No kites are watches.
(3) No kites are books.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All kites are watches.
(II) All kites are cups.Answer and working
Answer D
Conclusion I need not hold: some kites may lie outside watches. Conclusion II need not hold: some kites may lie outside cups. So: Neither conclusion follows.
-
Pointing to a man in a photograph, Lata said, ‘He is the only son of my mother’s father.’ How is the man related to Lata?
Answer and working
Answer A
The only son of my mother’s father is my mother’s brother. So the man is Lata’s uncle.
-
In a certain code, WATER is written as YCVGT. How is CLOUD written in that code?
Answer and working
Answer C
From WATER → YCVGT: each letter moves 2 places forward. Applied to CLOUD: ENQWF.
-
Statement: M < E < S > P > G
Conclusions: I. P = M II. S > MAnswer and working
Answer B
P and M: the signs between them point both ways, so no relation can be fixed, so P = M is not definitely true. S and M: the chain gives S > M, so S > M is definitely true. So: Only conclusion II follows.
-
F is the wife of J. Y is the father of F. How is Y related to J?
Answer and working
Answer B
Follow the links out from J: F is J’s wife; Y is F’s father. So Y is J’s father-in-law.
-
In the English alphabet, which letter is 7th to the right of the 12th letter from the right?
Answer and working
Answer A
The 12th letter from the right is O (position 15). 7 places to the right: position 22, which is V.
-
Sana walks 15 km towards the north. She turns right and walks 7 km. She turns left and walks 10 km. She turns left and walks 13 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 West.
-
In a certain code, STONE is written as DMNSR. How is BRIDGE written in that code?
Answer and working
Answer E
From STONE → DMNSR: the word is written backwards and each letter moves 1 back. Applied to BRIDGE: DFCHQA.
Part BQuantitative Aptitude
-
32 litres of a mixture contains milk and water in the ratio 7 : 1. How much water must be added to make the ratio 1 : 4?
Answer and working
Answer A
Milk = 28 l, water = 4 l. For 1 : 4, water must be 28 × 4/1 = 112 l. Add 112 − 4 = 108 litres.
-
Solve both equations and compare x and y.
I. x² + x − 30 = 0
II. y² − 7y + 6 = 0Answer and working
Answer E
I gives x = −6 or 5. II gives y = 1 or 6. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Simplify: 23 + 12 × 11 − 14 ÷ 7
Answer and working
Answer B
Division and multiplication first: 12 × 11 = 132 and 14 ÷ 7 = 2. Then 23 + 132 − 2 = 153.
-
What is √144 + √841 − √196?
Answer and working
Answer A
12 + 29 − 14 = 27.
-
The simple interest on a sum for 3 years at 5% per annum is ₹3,225. What is the sum?
Answer and working
Answer B
P = SI × 100 / (R × T) = 3,225 × 100 / (5 × 3) = ₹21,500.
-
One card is drawn at random from a well-shuffled pack of 52. What is the probability that it is a red king?
Answer and working
Answer A
2 of the 52 cards qualify. Probability = 1⁄26.
-
Simplify: 1⁄6 + 1⁄2 + 4⁄5
Answer and working
Answer B
Over the common denominator 60: the sum is 22⁄15. Adding tops and bottoms separately (7/19) is the trap.
-
By selling a watch for ₹1,173, a man loses 15%. For how much should he sell it to gain 15%?
Answer and working
Answer D
CP = 1,173 × 100/85 = ₹1,380. For a 15% gain: 1,380 × 115/100 = ₹1,587.
-
Find the wrong number in the series: 12, 16, 22, 36, 52, 72, 96
Answer and working
Answer D
The rule: the differences grow by 4: 4, 8, 12, 16, 20, 24. The term in place of 22 should be 24, so the wrong number is 22.
-
What is the value of 98² − 25²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 123 × 73 = 8,979.
-
136 is what percent of 160?
Answer and working
Answer D
136 ÷ 160 × 100 = 85%.
-
Simplify: 1⁄3 + 2⁄5 + 5⁄6
Answer and working
Answer A
Over the common denominator 30: the sum is 47⁄30. Adding tops and bottoms separately (8/14) is the trap.
-
Solve both equations and compare x and y.
I. x² − 16x + 48 = 0
II. y² + 14y + 45 = 0Answer and working
Answer A
I gives x = 4 or 12. II gives y = −9 or −5. Every x is greater than every y: x > y.
-
Solve both equations and compare x and y.
I. x² + 10x + 16 = 0
II. y² − 8y = 0Answer and working
Answer C
I gives x = −8 or −2. II gives y = 0 or 8. Every x is smaller than every y: x < y.
-
Simplify: 28 + 5 × 2 − 10 ÷ 2
Answer and working
Answer C
Division and multiplication first: 5 × 2 = 10 and 10 ÷ 2 = 5. Then 28 + 10 − 5 = 33.
-
A boat covers 85 km downstream in 5 hours and 15 km upstream in 3 hours. What is the speed of the stream?
Answer and working
Answer C
Downstream speed = 85 ÷ 5 = 17 km/h; upstream = 15 ÷ 3 = 5 km/h. Stream = (17 − 5) ÷ 2 = 6 km/h.
-
A shopkeeper marks his goods 20% above the cost price and allows a discount of 10%. What is his profit or loss percent?
Answer and working
Answer B
Take CP = 100. Marked price = 120. After 10% off: 120 × 90/100 = 108. So 8% profit.
-
Which number replaces the question mark? 6, 18, 54, 162, ?, 1,458
Answer and working
Answer B
The rule: each term is the previous × 3. The missing term is 486.
-
The sum of the present ages of a father and his son is 52 years. 2 years ago, the father was 5 times as old as the son. How old is the son now?
Answer and working
Answer B
Let the son be s. Then (52 − s − 2) = 5(s − 2), so 60 = 6s and s = 10 years.
-
Which number replaces the question mark? 3, 39, 6, 32, 9, 25, ?
Answer and working
Answer C
The rule: two series alternate: 3, 6, 9 … rising by 3, and 39, 32, 25 … falling by 7. The missing term is 12.
Directions for questions 61 to 65
Study the table and answer the questions that follow.
Bicycles sold by five shops, in two successive years Shop Year 1 Year 2 Shop P 560 840 Shop Q 740 925 Shop R 520 416 Shop S 420 441 Shop T 380 456 -
What is the ratio of Shop S’s Year 1 figure to Shop R’s Year 2 figure?
Answer and working
Answer C
420 : 416 = 105 : 104.
-
By what percent did Shop P’s figure change from Year 1 to Year 2?
Answer and working
Answer E
Change = 840 − 560 = 280. On Year 1: 280 ÷ 560 × 100 = 50% increase.
-
Shop S’s Year 2 figure is what percent of Shop P’s Year 2 figure?
Answer and working
Answer C
441 ÷ 840 × 100 = 52.5%.
-
What is the average Year 2 figure of the five?
Answer and working
Answer B
Sum of Year 2 = 3,078. ÷ 5 = 615.6.
-
What is the total for Shop T over the two years?
Answer and working
Answer B
380 + 456 = 836.
-
Which number replaces the question mark? 27, 38, 51, 66, 83, 102, ?
Answer and working
Answer D
The rule: the terms are 5², 6², 7² … plus 2. The missing term is 123.
-
Find the wrong number in the series: 17, 21, 30, 46, 71, 111, 156
Answer and working
Answer D
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The term in place of 111 should be 107, so the wrong number is 111.
-
A and B together can do a job in 12 days. A alone can do it in 16 days. In how many days can B alone do it?
Answer and working
Answer D
B’s one day = 1/12 − 1/16 = 1/48. B alone takes 48 days.
-
A train 210 m long crosses a platform 390 m long in 40 seconds. What is the speed of the train?
Answer and working
Answer B
It must cover its own length and the platform: 210 + 390 = 600 m in 40 s, so 15 m/s = 15 × 18/5 = 54 km/h.
-
Which number replaces the question mark? 2, 4, 8, 16, 32, ?
Answer and working
Answer D
The rule: each term is the previous × 2. The missing term is 64.
-
What is the compound interest on ₹12,900 for 2 years at 10% per annum, compounded annually?
Answer and working
Answer E
Amount = 12,900 × (1 + 10/100)2 = ₹15,609. CI = 15,609 − 12,900 = ₹2,709.
-
Solve both equations and compare x and y.
I. x² − 19x + 84 = 0
II. y² − 17y + 60 = 0Answer and working
Answer E
I gives x = 7 or 12. II gives y = 5 or 12. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
140 is what percent of 160?
Answer and working
Answer C
140 ÷ 160 × 100 = 87.5%.
-
The incomes of P and Q are in the ratio 3 : 8 and their expenditures are in the ratio 1 : 5. If each saves ₹10,500 a month, what is P’s monthly income?
Answer and working
Answer D
Incomes 3x and 8x. (3x − 10,500) : (8x − 10,500) = 1 : 5 gives x = 6,000. P’s income = 3 × 6,000 = ₹18,000.
-
Solve both equations and compare x and y.
I. x² + 7x + 10 = 0
II. y² − 10y − 11 = 0Answer and working
Answer C
I gives x = −5 or −2. II gives y = −1 or 11. Every x is smaller than every y: x < y.
-
Solve both equations and compare x and y.
I. x² − 11x + 28 = 0
II. y² + 7y + 6 = 0Answer and working
Answer A
I gives x = 4 or 7. II gives y = −6 or −1. Every x is greater than every y: x > y.
-
Section A has 16 students with an average score of 51; section B has 20 students averaging 60. What is the average score of both sections together?
Answer and working
Answer D
(16 × 51 + 20 × 60) ÷ 36 = 2016 ÷ 36 = 56. The plain mean of 51 and 60 ignores the sizes of the sections.
-
Solve both equations and compare x and y.
I. x² + 10x + 24 = 0
II. y² + y − 42 = 0Answer and working
Answer E
I gives x = −6 or −4. II gives y = −7 or 6. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
A train 220 m long crosses a platform 200 m long in 14 seconds. What is the speed of the train?
Answer and working
Answer D
It must cover its own length and the platform: 220 + 200 = 420 m in 14 s, so 30 m/s = 30 × 18/5 = 108 km/h.
-
A train 260 m long passes a signal post in 13 seconds. What is its speed in km/h?
Answer and working
Answer A
Speed = 260 ÷ 13 = 20 m/s = 20 × 18/5 = 72 km/h.