- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 9241630
- Series
- A
IBPS RRB PO (Officer Scale-I) Prelims Paper 3
- 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: H ≤ Z < A < E ≤ R
Conclusions: I. A < H II. Z = EAnswer and working
Answer D
A and H: the chain gives A > H, so A < H is not definitely true. Z and E: the chain gives Z < E, so Z = E is not definitely true. So: Neither conclusion follows.
-
Neha walks 4 km towards the north. She turns left and walks 5 km. She turns left and walks 5 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.
-
Find the wrong number in the series: 101, 103, 107, 106, 113, 127, 131
Answer and working
Answer D
The rule: consecutive prime numbers. The term in place of 106 should be 109, so the wrong number is 106.
Directions for questions 4 to 8
Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Exactly 2 people sit between Chetan and Arun. Exactly one person sits between Divya and Esha. Arun sits somewhere to the right of Bina. Exactly one person sits between Chetan and Esha.-
How many people sit between Arun and Chetan?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Bina, Esha, Arun, Divya. Between them: 2.
-
Who sits at the extreme right end?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Bina, Esha, Arun, Divya. Divya.
-
What is Esha’s position from the left end?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Bina, Esha, Arun, Divya. 3rd.
-
Who sits at the extreme left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Chetan, Bina, Esha, Arun, Divya. Chetan.
-
Which pair sits at the two ends of the row?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Bina, Esha, Arun, Divya. Chetan and Divya.
-
In a certain code, PAPER is written as KZKVI. How is CLOUD written in that code?
Answer and working
Answer E
From PAPER → KZKVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to CLOUD: XOLFW.
-
Which number replaces the question mark? 23, 29, 31, 37, 41, 43, ?
Answer and working
Answer C
The rule: consecutive prime numbers. The missing term is 47.
-
Statements:
(1) All tables are lamps.
(2) All lamps are planes.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some tables are not lamps.
(II) All tables are planes.Answer and working
Answer B
Conclusion I need not hold: every one of the tables may be lamps. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statements:
(1) All bottles are chairs.
(2) No papers are chairs.
(3) No roads are papers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some bottles are roads.
(II) No bottles are roads.Answer and working
Answer C
Conclusion I need not hold: bottles and roads need not overlap at all. Conclusion II need not hold: bottles and roads may overlap. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
In the English alphabet, which letter is 7th 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). 7 places to the left: position 9, which is I.
-
Statement: T < R ≤ P ≤ Y ≤ X
Conclusions: I. R < Y II. R = YAnswer and working
Answer C
R and Y: the chain gives R ≤ Y, so R < Y is not definitely true. R and Y: the chain gives R ≤ Y, so R = Y is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
E is the brother of A. V is the son of E. How is V related to A?
Answer and working
Answer A
Follow the links out from A: E is A’s brother; V is E’s son. So V is A’s nephew.
-
In a certain code, MILK is written as NROP. How is APPLE written in that code?
Answer and working
Answer A
From MILK → NROP: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to APPLE: ZKKOV.
-
F is the brother of Y. G is the son of F. Y is the father of L. How is G related to L?
Answer and working
Answer D
Follow the links out from L: Y is L’s father; F is Y’s brother; G is F’s son. So G is L’s cousin.
-
If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 43 × 9 + 5 ÷ 16 − 4?
Answer and working
Answer E
Replace the signs: 43 + 9 − 5 × 16 ÷ 4. Division and multiplication first, then addition and subtraction: 32.
-
Statements:
(1) All papers are buses.
(2) Some cups are papers.
(3) All cups are chairs.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some buses are papers.
(II) No chairs are papers.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: chairs and papers may overlap. So: Only conclusion I follows.
-
Statement: E < R < W = A ≤ Q
Conclusions: I. W < Q II. W = QAnswer and working
Answer C
W and Q: the chain gives W ≤ Q, so W < Q is not definitely true. W and Q: the chain gives W ≤ Q, so W = Q is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
In a queue, Farhan is 7th from the front and Dev is 26th from the front. How many people stand between them?
Answer and working
Answer C
Between positions 7 and 26 there are 26 − 7 − 1 = 18 people.
-
In a certain code, PAPER is written as 112. How is SUGAR written in that code?
Answer and working
Answer E
PAPER = 112 is twice the sum of the letters’ positions in the alphabet. For SUGAR: 19 + 21 + 7 + 1 + 18 doubled = 132.
-
Pointing to a man in a photograph, Asha said, ‘He is the father of my brother’s only niece.’ How is the man related to Asha?
Answer and working
Answer A
My brother’s only niece is my daughter, so he is my daughter’s father. So the man is Asha’s husband.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 47 ÷ 8 − 4 × 16 + 4?
Answer and working
Answer C
Replace the signs: 47 + 8 × 4 − 16 ÷ 4. Division and multiplication first, then addition and subtraction: 75.
-
Which one does not belong with the others?
Answer and working
Answer B
27, 8, 1331, 1000 are cubes; 256 is a square, not a cube. The odd one is 256.
-
In a class, Vikram ranks 5th from the top and 19th from the bottom. How many students are in the class?
Answer and working
Answer C
Vikram is counted in both ranks, so the total is 5 + 19 − 1 = 23.
-
Statement: L = Y ≤ G < R < E
Conclusions: I. G ≥ L II. G < EAnswer and working
Answer E
G and L: the chain gives G ≥ L, so G ≥ L is definitely true. G and E: the chain gives G < E, so G < E is definitely true. So: Both conclusions follow.
-
In a certain code, EAGLE is written as GYIJG. How is HORSE written in that code?
Answer and working
Answer D
From EAGLE → GYIJG: letters in odd places move 2 forward, letters in even places move 2 back. Applied to HORSE: JMTQG.
-
Deepak walks 8 km towards the west. He turns left and walks 9 km. He turns left and walks 4 km. He turns left and walks 9 km. How far is he from the starting point in a straight line?
Answer and working
Answer D
Taking east and north as positive: he ends 4 km west and 0 km north of the start. Straight-line distance = √(4² + 0²) = 4 km.
-
M is the daughter of V. P is the wife of G. V is the sister of P. How is M related to G?
Answer and working
Answer E
Follow the links out from G: P is G’s wife; V is P’s sister; M is V’s daughter. So M is G’s niece.
-
Statements:
(1) Some planes are bells.
(2) No birds are planes.
(3) No birds are shirts.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No shirts are birds.
(II) Some bells are not birds.Answer and working
Answer E
Conclusion I holds in every diagram the statements allow. Conclusion II holds in every diagram the statements allow. So: Both conclusions follow.
-
Tarun walks 7 km towards the south. He turns right and walks 11 km. He turns right and walks 8 km. He turns left and walks 10 km. He turns right and walks 6 km. Which direction is he facing now?
Answer and working
Answer B
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs North.
-
Statements:
(1) Some boxes are not rivers.
(2) Some rivers are flowers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All rivers are flowers.
(II) Some flowers are rivers.Answer and working
Answer B
Conclusion I need not hold: some rivers may lie outside flowers. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statements:
(1) Some trees are roads.
(2) All clouds are trees.
(3) No fans are clouds.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some fans are not roads.
(II) Some roads are not fans.Answer and working
Answer D
Conclusion I need not hold: every one of the fans may be roads. Conclusion II need not hold: every one of the roads may be fans. So: Neither conclusion follows.
-
In a certain code, DESK is written as 78. How is BRIDGE written in that code?
Answer and working
Answer A
DESK = 78 is twice the sum of the letters’ positions in the alphabet. For BRIDGE: 2 + 18 + 9 + 4 + 7 + 5 doubled = 90.
-
Neha walks 11 km towards the east. She turns left and walks 6 km. She turns right and walks 6 km. She turns right and walks 9 km. She turns left and walks 4 km. In which direction is she from the starting point?
Answer and working
Answer E
Taking east and north as positive: she ends 21 km east and 3 km south of the start, which is to the South-east.
-
Statement: B ≤ K = G ≤ Y = N
Conclusions: I. G = B II. G > BAnswer and working
Answer C
G and B: the chain gives G ≥ B, so G = B is not definitely true. G and B: the chain gives G ≥ B, so G > B is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Statement: S > J < V > T ≤ H
Conclusions: I. V > S II. V ≤ SAnswer and working
Answer D
V and S: the signs between them point both ways, so no relation can be fixed, so V > S is not definitely true. V and S: the signs between them point both ways, so no relation can be fixed, so V ≤ S is not definitely true. So: Neither conclusion follows.
-
Statements:
(1) Some stones are not clocks.
(2) All roads are clocks.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No stones are roads.
(II) All clocks are roads.Answer and working
Answer D
Conclusion I need not hold: stones and roads may overlap. Conclusion II need not hold: some clocks may lie outside roads. So: Neither conclusion follows.
-
In the English alphabet, which letter is 9th to the right of the 16th letter from the right?
Answer and working
Answer D
The 16th letter from the right is K (position 11). 9 places to the right: position 20, which is T.
Part BQuantitative Aptitude
-
Section A has 36 students with an average score of 48; section B has 36 students averaging 42. What is the average score of both sections together?
Answer and working
Answer D
(36 × 48 + 36 × 42) ÷ 72 = 3240 ÷ 72 = 45. The plain mean of 48 and 42 ignores the sizes of the sections.
-
Solve both equations and compare x and y.
I. x² − 5x − 50 = 0
II. y² − 5y − 66 = 0Answer and working
Answer E
I gives x = −5 or 10. II gives y = −6 or 11. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
The incomes of P and Q are in the ratio 5 : 6 and their expenditures are in the ratio 8 : 11. If each saves ₹10,500 a month, what is P’s monthly income?
Answer and working
Answer A
Incomes 5x and 6x. (5x − 10,500) : (6x − 10,500) = 8 : 11 gives x = 4,500. P’s income = 5 × 4,500 = ₹22,500.
-
The present ages of Asha and her elder brother are in the ratio 7 : 9. After 10 years, the ratio will be 6 : 7. What is Asha’s present age?
Answer and working
Answer E
Ages 7x and 9x. (7x + 10) : (9x + 10) = 6 : 7 gives x = 2. Asha is 7 × 2 = 14 years.
-
Solve both equations and compare x and y.
I. x² − 6x − 55 = 0
II. y² − 20y + 99 = 0Answer and working
Answer E
I gives x = −5 or 11. II gives y = 9 or 11. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Solve both equations and compare x and y.
I. x² + x = 0
II. y² − 13y + 22 = 0Answer and working
Answer C
I gives x = −1 or 0. II gives y = 2 or 11. Every x is smaller than every y: x < y.
-
Find the wrong number in the series: 3, 9, 19, 33, 59, 73, 99
Answer and working
Answer D
The rule: the differences grow by 4: 6, 10, 14, 18, 22, 26. The term in place of 59 should be 51, so the wrong number is 59.
-
Solve both equations and compare x and y.
I. x² + 13x + 40 = 0
II. y² + 12y + 32 = 0Answer and working
Answer E
I gives x = −8 or −5. II gives y = −8 or −4. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Simplify: 2⁄3 + 1⁄2 + 1⁄2
Answer and working
Answer B
Over the common denominator 24: the sum is 5⁄3. Adding tops and bottoms separately (8/15) is the trap.
-
Simplify: 3⁄5 + 3⁄4 + 1⁄5
Answer and working
Answer D
Over the common denominator 20: the sum is 31⁄20. Adding tops and bottoms separately (8/19) is the trap.
-
A boat covers 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream?
Answer and working
Answer C
Downstream speed = 30 ÷ 2 = 15 km/h; upstream = 18 ÷ 2 = 9 km/h. Stream = (15 − 9) ÷ 2 = 3 km/h.
-
Find the wrong number in the series: 4, 10, 22, 46, 95, 190, 382
Answer and working
Answer C
The rule: each term is the previous × 2 + 2. The term in place of 95 should be 94, so the wrong number is 95.
-
Solve both equations and compare x and y.
I. x² − 10x + 9 = 0
II. y² + 15y + 54 = 0Answer and working
Answer A
I gives x = 1 or 9. II gives y = −9 or −6. Every x is greater than every y: x > y.
-
Two successive discounts of 20% and 10% are equal to a single discount of:
Answer and working
Answer E
Single discount = 20 + 10 − (20 × 10)/100 = 28%. The second discount is taken on the already reduced price, so the two do not simply add.
-
Two trains 160 m and 170 m long run on parallel tracks in opposite directions at 51 km/h and 57 km/h. How long do they take to cross each other?
Answer and working
Answer A
Relative speed = 51 + 57 = 108 km/h = 30 m/s. Distance = 160 + 170 = 330 m. Time = 330 ÷ 30 = 11 seconds.
-
In what ratio must rice at ₹27/kg be mixed with rice at ₹65/kg so that the mixture is worth ₹45/kg?
Answer and working
Answer B
By alligation: cheaper : dearer = (65 − 45) : (45 − 27) = 20 : 18 = 10 : 9.
-
Which number replaces the question mark? 7, 21, 63, 189, ?, 1,701
Answer and working
Answer D
The rule: each term is the previous × 3. The missing term is 567.
-
Which number replaces the question mark? 125, 216, 343, 512, 729, ?
Answer and working
Answer D
The rule: the terms are 5³, 6³, 7³ …. The missing term is 1,000.
-
Simplify: 7⁄10 + 5⁄8 + 1⁄2
Answer and working
Answer C
Over the common denominator 40: the sum is 73⁄40. Adding tops and bottoms separately (13/20) is the trap.
-
The population of a town is 41,300. It grows by 20% every year. What will it be after 2 years?
Answer and working
Answer B
41,300 × (1 + 20/100)² = 41,300 × 1.44 = 59,472. Growing 20% on 41,300 twice, not 40% once.
-
What is the compound interest on ₹31,200 for 2 years at 5% per annum, compounded annually?
Answer and working
Answer C
Amount = 31,200 × (1 + 5/100)2 = ₹34,398. CI = 34,398 − 31,200 = ₹3,198.
-
Solve both equations and compare x and y.
I. x² − 64 = 0
II. y² − 21y + 108 = 0Answer and working
Answer C
I gives x = −8 or 8. II gives y = 9 or 12. Every x is smaller than every y: x < y.
-
A scooter runs at 126 km/h. What is its speed in metres per second?
Answer and working
Answer C
Multiply by 5/18: 126 × 5/18 = 35 m/s.
-
What is the simple interest on ₹48,000 at 5% per annum for 5 years?
Answer and working
Answer A
SI = P × R × T / 100 = 48,000 × 5 × 5 / 100 = ₹12,000.
-
Solve both equations and compare x and y.
I. x² − 4x − 32 = 0
II. y² − 12y = 0Answer and working
Answer E
I gives x = −4 or 8. II gives y = 0 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.
-
Ramesh can finish a piece of work in 33 days and Suresh can finish it in 66 days. Working together, how long will they take?
Answer and working
Answer D
In one day they do 1/33 + 1/66 = 1/22 of the work. Time = 33 × 66 ÷ (33 + 66) = 22 days.
-
Simplify: 7⁄8 + 3⁄5 + 1⁄3
Answer and working
Answer C
Over the common denominator 120: the sum is 217⁄120. Adding tops and bottoms separately (11/16) is the trap.
-
A shopkeeper marks an article 20% above its cost price and allows a discount of 15%. If the article was sold for ₹2,142, what was its cost price?
Answer and working
Answer A
SP = CP × 1.2 × 0.85 = CP × 1.02. So CP = 2,142 ÷ 1.02 = ₹2,100.
-
115 is what percent of 920?
Answer and working
Answer E
115 ÷ 920 × 100 = 12.5%.
-
What is √361 + √225 − √676?
Answer and working
Answer D
19 + 15 − 26 = 8.
-
Three fair coins are tossed. What is the probability of getting exactly one head?
Answer and working
Answer D
Of the 8 equally likely outcomes, 3 qualify. Probability = 3⁄8.
-
Which number replaces the question mark? 35, 48, 63, 80, 99, 120, ?
Answer and working
Answer B
The rule: the terms are 6², 7², 8² … minus 1. The missing term is 143.
-
What is the value of 66² − 39²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 105 × 27 = 2,835.
-
The price of a cooler goes from ₹80 to ₹120. What is the percentage increase?
Answer and working
Answer E
Change = ₹40. On the original value: 40 ÷ 80 × 100 = 50%, a 50% increase. Dividing by the new value, 120, is the usual slip.
Directions for questions 75 to 79
Study the table and answer the questions that follow.
Students enrolled in five coaching centres, in two successive years Centre Year 1 Year 2 Centre A 760 912 Centre B 260 338 Centre C 520 728 Centre D 480 504 Centre E 640 800 -
What is the average Year 2 figure of the five?
Answer and working
Answer D
Sum of Year 2 = 3,282. ÷ 5 = 656.4.
-
What is the ratio of Centre C’s Year 1 figure to Centre E’s Year 2 figure?
Answer and working
Answer E
520 : 800 = 13 : 20.
-
By what percent did Centre A’s figure change from Year 1 to Year 2?
Answer and working
Answer B
Change = 912 − 760 = 152. On Year 1: 152 ÷ 760 × 100 = 20% increase.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer A
Growth: Centre A 20%, Centre B 30%, Centre C 40%, Centre D 5%, Centre E 25%. The highest is Centre C.
-
What is the total for Centre B over the two years?
Answer and working
Answer A
260 + 338 = 598.
-
Which number replaces the question mark? 6, 7, 16, 51, 208, ?
Answer and working
Answer D
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 1,045.