- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 9402355
- Series
- C
IBPS RRB PO (Officer Scale-I) Prelims Paper 4
- 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
-
Which number replaces the question mark? 6, 7, 16, 51, 208, ?
Answer and working
Answer A
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 1,045.
-
Statement: C ≥ J = Z < R = E
Conclusions: I. E ≥ J II. J > RAnswer and working
Answer A
E and J: the chain gives E > J, so E ≥ J is definitely true. J and R: the chain gives J < R, so J > R is not definitely true. So: Only conclusion I follows.
-
Statement: M > Q ≥ C ≤ R < N
Conclusions: I. Q ≥ R II. R ≤ QAnswer and working
Answer D
Q and R: the signs between them point both ways, so no relation can be fixed, so Q ≥ R is not definitely true. R and Q: the signs between them point both ways, so no relation can be fixed, so R ≤ Q is not definitely true. So: Neither conclusion follows.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 44 × 12 − 2 + 19 ÷ 6?
Answer and working
Answer D
Replace the signs: 44 + 12 ÷ 2 × 19 − 6. Division and multiplication first, then addition and subtraction: 152.
-
In a row of 29 students, Neha is 13th from the left. What is Neha’s position from the right?
Answer and working
Answer E
Position from the right = total − position from the left + 1 = 29 − 13 + 1 = 17th.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 16 − 4 × 2 ÷ 18 + 9?
Answer and working
Answer C
Replace the signs: 16 × 4 + 2 − 18 ÷ 9. Division and multiplication first, then addition and subtraction: 64.
-
Statements:
(1) All birds are rings.
(2) All chairs are birds.
(3) Some books are chairs.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All rings are chairs.
(II) Some rings are not chairs.Answer and working
Answer C
Conclusion I need not hold: some rings may lie outside chairs. Conclusion II need not hold: every one of the rings may be chairs. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
Pointing to a woman in a photograph, Pooja said, ‘She is the wife of my father’s only son.’ How is the woman related to Pooja?
Answer and working
Answer D
My father’s only son is my brother; his wife is my sister-in-law. So the woman is Pooja’s sister-in-law.
-
Find the wrong number in the series: 10, 17, 23, 37, 50, 65, 82
Answer and working
Answer C
The rule: the terms are 3², 4², 5² … plus 1. The term in place of 23 should be 26, so the wrong number is 23.
-
Statements:
(1) Some rings are boxes.
(2) All pens are rings.
(3) All pens are tables.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All tables are pens.
(II) Some tables are not boxes.Answer and working
Answer D
Conclusion I need not hold: some tables may lie outside pens. Conclusion II need not hold: every one of the tables may be boxes. So: Neither conclusion follows.
-
In the English alphabet, which letter is 5th to the left of the 18th letter from the left?
Answer and working
Answer E
The 18th letter from the left is R (position 18). 5 places to the left: position 13, which is M.
-
Y is the daughter of C. T is the husband of J. C is the sister of T. How is Y related to J?
Answer and working
Answer C
Follow the links out from J: T is J’s husband; C is T’s sister; Y is C’s daughter. So Y is J’s niece.
Directions for questions 13 to 17
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Exactly 2 people sit between Bina and Arun. Exactly 2 people sit between Chetan and Farhan. Exactly 4 people sit between Farhan and Arun. Chetan sits second to the left of Esha.-
How many people sit between Arun and Farhan?
Answer and working
Answer A
Only one order fits every clue, from the left: Arun, Divya, Chetan, Bina, Esha, Farhan. Between them: 4.
-
Who sits at the extreme left end?
Answer and working
Answer E
Only one order fits every clue, from the left: Arun, Divya, Chetan, Bina, Esha, Farhan. Arun.
-
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, Farhan. Arun and Farhan.
-
Who sits immediately to the right of Divya?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Divya, Chetan, Bina, Esha, Farhan. Chetan.
-
Who sits at the extreme right end?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Divya, Chetan, Bina, Esha, Farhan. Farhan.
-
In a row of 25 students, Farhan is 12th from the left. What is Farhan’s position from the right?
Answer and working
Answer D
Position from the right = total − position from the left + 1 = 25 − 12 + 1 = 14th.
-
In a certain code, TABLE is written as 40. How is DESK written in that code?
Answer and working
Answer B
TABLE = 40 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For DESK: 4 + 5 + 19 + 11 = 39.
-
Asha walks 5 km towards the north. She turns left and walks 3 km. She turns right and walks 12 km. She turns left and walks 12 km. She turns right and walks 13 km. In which direction is she from the starting point?
Answer and working
Answer A
Taking east and north as positive: she ends 15 km west and 30 km north of the start, which is to the North-west.
-
In a certain code, GOLD is written as HPME. How is FLOWER written in that code?
Answer and working
Answer D
From GOLD → HPME: each letter moves 1 place forward. Applied to FLOWER: GMPXFS.
-
Statement: N ≤ G ≥ M ≥ F > Y
Conclusions: I. G = F II. G > FAnswer and working
Answer C
G and F: the chain gives G ≥ F, so G = F is not definitely true. G and F: the chain gives G ≥ F, so G > F is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Statement: Z ≤ B ≤ F < T < N
Conclusions: I. B ≥ N II. T ≥ ZAnswer and working
Answer B
B and N: the chain gives B < N, so B ≥ N is not definitely true. T and Z: the chain gives T > Z, so T ≥ Z is definitely true. So: Only conclusion II follows.
-
Pointing to a woman in a photograph, Farah said, ‘Her mother is the only daughter of my mother.’ How is the woman related to Farah?
Answer and working
Answer B
The only daughter of my mother is me, so I am the mother. So the woman is Farah’s daughter.
-
Priya walks 6 km towards the north. She turns left and walks 9 km. She turns right and walks 7 km. She turns left and walks 9 km. She turns right and walks 11 km. In which direction is she from the starting point?
Answer and working
Answer C
Taking east and north as positive: she ends 18 km west and 24 km north of the start, which is to the North-west.
-
Statements:
(1) All clouds are birds.
(2) Some clouds are buses.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some clouds are not birds.
(II) Some buses are clouds.Answer and working
Answer B
Conclusion I need not hold: every one of the clouds may be birds. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statements:
(1) Some rivers are bells.
(2) Some bells are chairs.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some chairs are not rivers.
(II) All chairs are rivers.Answer and working
Answer C
Conclusion I need not hold: every one of the chairs may be rivers. Conclusion II need not hold: some chairs may lie outside rivers. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
Kavita walks 8 km towards the north. She turns right and walks 14 km. She turns right and walks 8 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer A
Taking east and north as positive: she ends 14 km east and 0 km north of the start. Distance = √(14² + 0²) = 14 km. 14 km, east.
-
Statements:
(1) All pens are doors.
(2) All papers are doors.
(3) Some papers are not rivers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All rivers are doors.
(II) Some rivers are not doors.Answer and working
Answer C
Conclusion I need not hold: some rivers may lie outside doors. Conclusion II need not hold: every one of the rivers may be doors. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
V is the father of G. B is the brother of V. R is the wife of B. How is R related to G?
Answer and working
Answer A
Follow the links out from G: V is G’s father; B is V’s brother; R is B’s wife. So R is G’s aunt.
-
In a certain code, SILVER is written as UKNXGT. How is MONEY written in that code?
Answer and working
Answer E
From SILVER → UKNXGT: each letter moves 2 places forward. Applied to MONEY: OQPGA.
-
In the English alphabet, which letter is 8th to the right of the 5th letter from the left?
Answer and working
Answer E
The 5th letter from the left is E (position 5). 8 places to the right: position 13, which is M.
-
Statement: Y < X < R < Q ≤ P
Conclusions: I. X ≥ P II. R > YAnswer and working
Answer B
X and P: the chain gives X < P, so X ≥ P is not definitely true. R and Y: the chain gives R > Y, so R > Y is definitely true. So: Only conclusion II follows.
-
Which one does not belong with the others?
Answer and working
Answer C
In the others the second number is n³ of the first; 3 : 28 breaks it. The odd one is 3 : 28.
-
Statements:
(1) No watches are bags.
(2) No pens are bags.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some watches are pens.
(II) No watches are pens.Answer and working
Answer C
Conclusion I need not hold: watches and pens need not overlap at all. Conclusion II need not hold: watches and pens 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.
-
Statement: S > U ≥ Q = W < J
Conclusions: I. S ≤ Q II. W < UAnswer and working
Answer D
S and Q: the chain gives S > Q, so S ≤ Q is not definitely true. W and U: the chain gives W ≤ U, so W < U is not definitely true. So: Neither conclusion follows.
-
Statements:
(1) All watches are trees.
(2) Some trees are not lamps.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some watches are not lamps.
(II) All watches are lamps.Answer and working
Answer C
Conclusion I need not hold: every one of the watches may be lamps. Conclusion II need not hold: some watches may lie outside lamps. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
Tarun walks 13 km towards the east. He turns left and walks 7 km. He turns right and walks 4 km. 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 B
Taking east and north as positive: he ends 29 km east and 0 km north of the start. Straight-line distance = √(29² + 0²) = 29 km.
-
In a certain code, CHALK is written as XSZOP. How is BASKET written in that code?
Answer and working
Answer A
From CHALK → XSZOP: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to BASKET: YZHPVG.
-
In a certain code, HOUSE is written as INVRF. How is SILVER written in that code?
Answer and working
Answer E
From HOUSE → INVRF: letters in odd places move 1 forward, letters in even places move 1 back. Applied to SILVER: THMUFQ.
Part BQuantitative Aptitude
-
Which number replaces the question mark? 1, 3, 9, 27, 81, ?
Answer and working
Answer A
The rule: each term is the previous × 3. The missing term is 243.
-
Solve both equations and compare x and y.
I. x² − x − 90 = 0
II. y² − 9y + 20 = 0Answer and working
Answer E
I gives x = −9 or 10. II gives y = 4 or 5. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
What is 120% of 1,760?
Answer and working
Answer E
120% of 1,760 = 1,760 × 120/100 = 2,112.
-
What is the compound interest on ₹54,375 for 2 years at 4% per annum, compounded annually?
Answer and working
Answer B
Amount = 54,375 × (1 + 4/100)2 = ₹58,812. CI = 58,812 − 54,375 = ₹4,437.
-
Solve both equations and compare x and y.
I. x² − 2x − 48 = 0
II. y² − 18y + 80 = 0Answer and working
Answer D
I gives x = −6 or 8. II gives y = 8 or 10. No x is greater than any y, and one value of each is equal: x ≤ y.
-
A and B together can do a job in 10 days. A alone can do it in 15 days. In how many days can B alone do it?
Answer and working
Answer D
B’s one day = 1/10 − 1/15 = 1/30. B alone takes 30 days.
-
Which number replaces the question mark? 6, 7, 10, 15, 22, ?
Answer and working
Answer C
The rule: the differences grow by 2: 1, 3, 5, 7, 9, 11. The missing term is 31.
-
What is √256 + √196 − √361?
Answer and working
Answer C
16 + 14 − 19 = 11.
-
Solve both equations and compare x and y.
I. x² + 4x + 3 = 0
II. y² − 17y + 72 = 0Answer and working
Answer C
I gives x = −3 or −1. II gives y = 8 or 9. Every x is smaller than every y: x < y.
-
Two successive discounts of 50% and 10% are equal to a single discount of:
Answer and working
Answer C
Single discount = 50 + 10 − (50 × 10)/100 = 55%. The second discount is taken on the already reduced price, so the two do not simply add.
-
Solve both equations and compare x and y.
I. x² − 12x + 35 = 0
II. y² + 3y − 10 = 0Answer and working
Answer A
I gives x = 5 or 7. II gives y = −5 or 2. Every x is greater than every y: x > y.
-
A train 380 m long passes a signal post in 19 seconds. What is its speed in km/h?
Answer and working
Answer A
Speed = 380 ÷ 19 = 20 m/s = 20 × 18/5 = 72 km/h.
-
A number is first increased by 40% and then decreased by 10%. What is the net change?
Answer and working
Answer E
Net effect = 40 − 10 − (40 × 10)/100 = 26%, so 26% increase.
-
What is the value of 75² − 18²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 93 × 57 = 5,301.
Directions for questions 55 to 59
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 800 960 Centre B 380 342 Centre C 240 276 Centre D 440 616 Centre E 460 552 -
By what percent did Centre A’s figure change from Year 1 to Year 2?
Answer and working
Answer B
Change = 960 − 800 = 160. On Year 1: 160 ÷ 800 × 100 = 20% increase.
-
What is the total for Centre B over the two years?
Answer and working
Answer A
380 + 342 = 722.
-
What is the ratio of Centre A’s Year 1 figure to Centre B’s Year 2 figure?
Answer and working
Answer E
800 : 342 = 400 : 171.
-
Centre B’s Year 2 figure is what percent of Centre D’s Year 2 figure?
Answer and working
Answer E
342 ÷ 616 × 100 = 55.52%.
-
What is the average Year 2 figure of the five?
Answer and working
Answer D
Sum of Year 2 = 2,746. ÷ 5 = 549.2.
-
Solve both equations and compare x and y.
I. x² − 10x − 11 = 0
II. y² − 5y − 36 = 0Answer and working
Answer E
I gives x = −1 or 11. II gives y = −4 or 9. 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 + 3⁄5 + 1⁄2
Answer and working
Answer E
Over the common denominator 30: the sum is 53⁄30. Adding tops and bottoms separately (8/14) is the trap.
-
A train 420 m long passes a signal post in 28 seconds. What is its speed in km/h?
Answer and working
Answer A
Speed = 420 ÷ 28 = 15 m/s = 15 × 18/5 = 54 km/h.
-
Solve both equations and compare x and y.
I. x² − 11x + 30 = 0
II. y² − 6y − 55 = 0Answer and working
Answer E
I gives x = 5 or 6. II gives y = −5 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.
-
Which number replaces the question mark? 6, 7, 16, 51, 208, ?
Answer and working
Answer B
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 1,045.
-
The present ages of Asha and her elder brother are in the ratio 7 : 9. After 4 years, the ratio will be 4 : 5. What is Asha’s present age?
Answer and working
Answer D
Ages 7x and 9x. (7x + 4) : (9x + 4) = 4 : 5 gives x = 4. Asha is 7 × 4 = 28 years.
-
A shopkeeper marks his goods 20% above the cost price and allows a discount of 30%. What is his profit or loss percent?
Answer and working
Answer B
Take CP = 100. Marked price = 120. After 30% off: 120 × 70/100 = 84. So 16% loss.
-
Simplify: 7⁄8 + 2⁄5 + 1⁄2
Answer and working
Answer A
Over the common denominator 40: the sum is 71⁄40. Adding tops and bottoms separately (10/15) is the trap.
-
Solve both equations and compare x and y.
I. x² − 8x = 0
II. y² + 10y + 21 = 0Answer and working
Answer A
I gives x = 0 or 8. II gives y = −7 or −3. Every x is greater than every y: x > y.
-
A train 405 m long passes a signal post in 27 seconds. What is its speed in km/h?
Answer and working
Answer E
Speed = 405 ÷ 27 = 15 m/s = 15 × 18/5 = 54 km/h.
-
In what ratio must rice at ₹26/kg be mixed with rice at ₹46/kg so that the mixture is worth ₹28/kg?
Answer and working
Answer D
By alligation: cheaper : dearer = (46 − 28) : (28 − 26) = 18 : 2 = 9 : 1.
-
Two fair dice are thrown together. What is the probability that the sum is 10?
Answer and working
Answer A
There are 36 equally likely outcomes and 3 of them qualify. Probability = 1⁄12.
-
Find the wrong number in the series: 17, 26, 42, 67, 103, 143, 216
Answer and working
Answer E
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The term in place of 143 should be 152, so the wrong number is 143.
-
Which number replaces the question mark? 4, 12, ?, 108, 324, 972
Answer and working
Answer D
The rule: each term is the previous × 3. The missing term is 36.
-
Simplify: 37 + 9 × 6 − 54 ÷ 9
Answer and working
Answer B
Division and multiplication first: 9 × 6 = 54 and 54 ÷ 9 = 6. Then 37 + 54 − 6 = 85.
-
Which number replaces the question mark? 5, 18, 57, 174, 525, 1,578, ?
Answer and working
Answer E
The rule: each term is the previous × 3 + 3. The missing term is 4,737.
-
What is the fourth proportional to 6, 9 and 120?
Answer and working
Answer C
6 : 9 = 120 : x, so x = 9 × 120 ÷ 6 = 180.
-
What is the simple interest on ₹28,000 at 9% per annum for 3 years?
Answer and working
Answer E
SI = P × R × T / 100 = 28,000 × 9 × 3 / 100 = ₹7,560.
-
What is the average of the first 49 natural numbers?
Answer and working
Answer B
Sum = 49 × 50/2, so the average is (49 + 1)/2 = 25.
-
What is the value of 88² − 43²?
Answer and working
Answer B
a² − b² = (a + b)(a − b) = 131 × 45 = 5,895.
-
A boat covers 110 km downstream in 5 hours and 96 km upstream in 6 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 110 ÷ 5 = 22 km/h; upstream = 96 ÷ 6 = 16 km/h. Boat = (22 + 16) ÷ 2 = 19 km/h.