- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 4639683
- Series
- C
IBPS RRB Clerk (Office Assistant) Prelims Paper 5
- Questions
- 80
- Maximum marks
- 80
- Minutes allowed
- 45
Instructions निर्देश
- This booklet has 80 questions in 2 parts: A. Reasoning (40), B. Numerical Ability (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
-
In a queue, Vikram is 5th from the front and Ritu is 10th from the front. How many people stand between them?
Answer and working
Answer D
Between positions 5 and 10 there are 10 − 5 − 1 = 4 people.
-
In the English alphabet, which letter is 4th to the left of the 19th letter from the left?
Answer and working
Answer E
The 19th letter from the left is S (position 19). 4 places to the left: position 15, which is O.
-
Statement: N = W ≤ Z ≥ D < G
Conclusions: I. Z = N II. Z > NAnswer and working
Answer C
Z and N: the chain gives Z ≥ N, so Z = N is not definitely true. Z and N: the chain gives Z ≥ N, so Z > N is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Imran walks 3 km towards the west. He turns right and walks 6 km. He turns right and walks 3 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer D
Taking east and north as positive: he ends 0 km east and 6 km north of the start. Distance = √(0² + 6²) = 6 km. 6 km, north.
-
Statements:
(1) Some planes are shirts.
(2) No bags are shirts.
(3) All bags are birds.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All shirts are planes.
(II) Some planes are bags.Answer and working
Answer D
Conclusion I need not hold: some shirts may lie outside planes. Conclusion II need not hold: planes and bags need not overlap at all. So: Neither conclusion follows.
-
Which number replaces the question mark? 1, 3, ?, 27, 81, 243
Answer and working
Answer C
The rule: each term is the previous × 3. The missing term is 9.
-
Statements:
(1) No doors are bottles.
(2) All rivers are bottles.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some doors are not bottles.
(II) Some doors are rivers.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: doors and rivers need not overlap at all. So: Only conclusion I follows.
-
In a certain code, BRIDGE is written as CQJCHD. How is MOTHER written in that code?
Answer and working
Answer D
From BRIDGE → CQJCHD: letters in odd places move 1 forward, letters in even places move 1 back. Applied to MOTHER: NNUGFQ.
-
Which one does not belong with the others?
Answer and working
Answer E
In the others the second number is 3n + 1 of the first; 4 : 15 breaks it. The odd one is 4 : 15.
-
In the English alphabet, which letter is 7th to the left of the 19th letter from the left?
Answer and working
Answer C
The 19th letter from the left is S (position 19). 7 places to the left: position 12, which is L.
-
Pointing to a man in a photograph, Neha said, ‘He is the only son of my mother’s father.’ How is the man related to Neha?
Answer and working
Answer C
The only son of my mother’s father is my mother’s brother. So the man is Neha’s uncle.
-
Statement: G > X ≤ N > Z < W
Conclusions: I. Z > G II. W > GAnswer and working
Answer D
Z and G: the signs between them point both ways, so no relation can be fixed, so Z > G is not definitely true. W and G: the signs between them point both ways, so no relation can be fixed, so W > G is not definitely true. So: Neither conclusion follows.
-
Imran walks 6 km towards the east. He turns right and walks 7 km. He turns left and walks 6 km. Which direction is he facing now?
Answer and working
Answer E
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.
-
Statement: X ≤ J < Z < Q ≤ U
Conclusions: I. U = X II. J ≤ UAnswer and working
Answer B
U and X: the chain gives U > X, so U = X is not definitely true. J and U: the chain gives J < U, so J ≤ U is definitely true. So: Only conclusion II follows.
-
Statements:
(1) All phones are fans.
(2) All lamps are phones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some fans are phones.
(II) All lamps are fans.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.
Directions for questions 16 to 20
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Exactly one person sits between Arun and Farhan. Esha sits immediately to the right of Chetan. Divya does not sit next to Farhan. Exactly 3 people sit between Farhan and Bina. Esha does not sit at either end. Arun does not sit at either end. Esha does not sit next to Farhan.-
Who sits at the extreme right end?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Esha, Bina, Divya, Arun, Gopal, Farhan. Farhan.
-
Which pair sits at the two ends of the row?
Answer and working
Answer B
Only one order fits every clue, from the left: Chetan, Esha, Bina, Divya, Arun, Gopal, Farhan. Chetan and Farhan.
-
What is Gopal’s position from the left end?
Answer and working
Answer B
Only one order fits every clue, from the left: Chetan, Esha, Bina, Divya, Arun, Gopal, Farhan. 6th.
-
Who sits second to the right of Bina?
Answer and working
Answer C
Only one order fits every clue, from the left: Chetan, Esha, Bina, Divya, Arun, Gopal, Farhan. Arun.
-
Who sits exactly between Bina and Arun?
Answer and working
Answer C
Only one order fits every clue, from the left: Chetan, Esha, Bina, Divya, Arun, Gopal, Farhan. Divya.
-
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 E
My father’s only son is me. So the woman is Tarun’s wife.
-
Statement: B > X ≥ P = G > F
Conclusions: I. F ≤ X II. B ≥ FAnswer and working
Answer E
F and X: the chain gives F < X, so F ≤ X is definitely true. B and F: the chain gives B > F, so B ≥ F is definitely true. So: Both conclusions follow.
-
Statements:
(1) All planes are bags.
(2) Some doors are planes.
(3) All boxes are doors.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some planes are bags.
(II) Some planes are not bags.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the planes may be bags. So: Only conclusion I follows.
-
In a certain code, DESK is written as FCUI. How is CHAIR written in that code?
Answer and working
Answer C
From DESK → FCUI: letters in odd places move 2 forward, letters in even places move 2 back. Applied to CHAIR: EFCGT.
-
P is the father of T. G is the mother of P. How is G related to T?
Answer and working
Answer B
Follow the links out from T: P is T’s father; G is P’s mother. So G is T’s grandmother.
-
Statement: N = P ≥ D < K > A
Conclusions: I. D = N II. D < NAnswer and working
Answer C
D and N: the chain gives D ≤ N, so D = N is not definitely true. D and N: the chain gives D ≤ N, so D < N is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Kabir walks 7 km towards the east. He turns left and walks 12 km. He turns right and walks 11 km. He turns right and walks 3 km. He turns right and walks 2 km. In which direction is he from the starting point?
Answer and working
Answer C
Taking east and north as positive: he ends 16 km east and 9 km north of the start, which is to the North-east.
-
If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 55 + 10 × 10 − 2 ÷ 9?
Answer and working
Answer B
Replace the signs: 55 − 10 + 10 ÷ 2 × 9. Division and multiplication first, then addition and subtraction: 90.
-
In a certain code, CHALK is written as EFCJM. How is LIGHT written in that code?
Answer and working
Answer B
From CHALK → EFCJM: letters in odd places move 2 forward, letters in even places move 2 back. Applied to LIGHT: NGIFV.
-
Which number replaces the question mark? 63, 124, ?, 342, 511, 728
Answer and working
Answer B
The rule: the terms are 4³, 5³, 6³ … minus 1. The missing term is 215.
-
Statements:
(1) Some leaves are papers.
(2) Some papers are roads.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some papers are not leaves.
(II) All leaves are papers.Answer and working
Answer D
Conclusion I need not hold: every one of the papers may be leaves. Conclusion II need not hold: some leaves may lie outside papers. So: Neither conclusion follows.
-
In a certain code, BOOK is written as DQQM. How is CHAIR written in that code?
Answer and working
Answer C
From BOOK → DQQM: each letter moves 2 places forward. Applied to CHAIR: EJCKT.
-
Statement: L < T ≤ V ≥ A < R
Conclusions: I. A < T II. A ≥ TAnswer and working
Answer D
A and T: the signs between them point both ways, so no relation can be fixed, so A < T is not definitely true. A and T: the signs between them point both ways, so no relation can be fixed, so A ≥ T is not definitely true. So: Neither conclusion follows.
-
Pointing to a woman in a photograph, Deepak said, ‘She is the wife of my father’s only son.’ How is the woman related to Deepak?
Answer and working
Answer A
My father’s only son is me. So the woman is Deepak’s wife.
-
In a row of 37 students, Ravi is 11th from the left. What is Ravi’s position from the right?
Answer and working
Answer D
Position from the right = total − position from the left + 1 = 37 − 11 + 1 = 27th.
-
Statements:
(1) Some roads are doors.
(2) All roads are buses.
(3) No planes are buses.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some doors are roads.
(II) Some buses are not planes.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.
-
Statements:
(1) No birds are fans.
(2) No fans are buses.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some birds are not buses.
(II) All birds are buses.Answer and working
Answer C
Conclusion I need not hold: every one of the birds may be buses. Conclusion II need not hold: some birds may lie outside buses. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 36 + 4 ÷ 3 − 3 × 7?
Answer and working
Answer E
Replace the signs: 36 ÷ 4 + 3 × 3 − 7. Division and multiplication first, then addition and subtraction: 11.
-
In a certain code, SUGAR is written as HFTZI. How is GRAPE written in that code?
Answer and working
Answer E
From SUGAR → HFTZI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to GRAPE: TIZKV.
-
Imran walks 12 km towards the east. He turns left and walks 4 km. He turns left and walks 6 km. He turns left and walks 2 km. He turns right and walks 2 km. In which direction is he from the starting point?
Answer and working
Answer A
Taking east and north as positive: he ends 4 km east and 2 km north of the start, which is to the North-east.
Part BNumerical Ability
-
Solve both equations and compare x and y.
I. x² + 11x + 28 = 0
II. y² − 4y = 0Answer and working
Answer C
I gives x = −7 or −4. II gives y = 0 or 4. Every x is smaller than every y: x < y.
-
Find the wrong number in the series: 10, 51, 16, 45, 22, 41, 28, 36
Answer and working
Answer D
The rule: two series alternate: 10, 16, 22 … rising by 6, and 51, 46, 41 … falling by 5. The term in place of 45 should be 46, so the wrong number is 45.
-
A scooter runs at 36 km/h. What is its speed in metres per second?
Answer and working
Answer E
Multiply by 5/18: 36 × 5/18 = 10 m/s.
-
836 is what percent of 1,520?
Answer and working
Answer D
836 ÷ 1,520 × 100 = 55%.
-
Which number replaces the question mark? 5, 13, 29, 61, 125, 253, ?
Answer and working
Answer B
The rule: each term is the previous × 2 + 3. The missing term is 509.
-
Solve both equations and compare x and y.
I. x² − x − 56 = 0
II. y² − y − 6 = 0Answer and working
Answer E
I gives x = −7 or 8. II gives y = −2 or 3. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
The average of 8 numbers is 35. When one number is removed, the average of the rest is 39. Which number was removed?
Answer and working
Answer B
Total of 8 = 8 × 35 = 280. Total of 7 = 7 × 39 = 273. Removed = 280 − 273 = 7.
-
A shopkeeper marks an article 40% above its cost price and allows a discount of 25%. If the article was sold for ₹1,365, what was its cost price?
Answer and working
Answer B
SP = CP × 1.4 × 0.75 = CP × 1.05. So CP = 1,365 ÷ 1.05 = ₹1,300.
-
Solve both equations and compare x and y.
I. x² + 5x − 36 = 0
II. y² − 5y − 6 = 0Answer and working
Answer E
I gives x = −9 or 4. 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.
-
A trader buys a bicycle for ₹2,025 and sells it for ₹2,187. What is the profit or loss percent?
Answer and working
Answer E
Profit = ₹162. As a percent of the cost price: 162 ÷ 2,025 × 100 = 8% profit.
-
Simplify: 13 + 3 × 6 − 30 ÷ 6
Answer and working
Answer A
Division and multiplication first: 3 × 6 = 18 and 30 ÷ 6 = 5. Then 13 + 18 − 5 = 26.
-
Solve both equations and compare x and y.
I. x² − 22x + 120 = 0
II. y² + 2y − 8 = 0Answer and working
Answer A
I gives x = 10 or 12. II gives y = −4 or 2. Every x is greater than every y: x > y.
-
A scooter runs at 72 km/h. What is its speed in metres per second?
Answer and working
Answer D
Multiply by 5/18: 72 × 5/18 = 20 m/s.
-
35 is what percent of 280?
Answer and working
Answer B
35 ÷ 280 × 100 = 12.5%.
-
Which number replaces the question mark? 23, 27, 34, 44, ?, 73
Answer and working
Answer A
The rule: the differences grow by 3: 4, 7, 10, 13, 16, 19. The missing term is 57.
-
Solve both equations and compare x and y.
I. x² − 8x = 0
II. y² + 9y + 18 = 0Answer and working
Answer A
I gives x = 0 or 8. II gives y = −6 or −3. Every x is greater than every y: x > y.
-
Which number replaces the question mark? 89, 97, 101, 103, 107, 109, ?
Answer and working
Answer E
The rule: consecutive prime numbers. The missing term is 113.
-
Which number replaces the question mark? 9, 28, 65, 126, 217, ?
Answer and working
Answer C
The rule: the terms are 2³, 3³, 4³ … plus 1. The missing term is 344.
-
What is √576 + √625 − √484?
Answer and working
Answer A
24 + 25 − 22 = 27.
-
In what ratio must rice at ₹20/kg be mixed with rice at ₹32/kg so that the mixture is worth ₹24/kg?
Answer and working
Answer B
By alligation: cheaper : dearer = (32 − 24) : (24 − 20) = 8 : 4 = 2 : 1.
-
Simplify: 76 + 5 × 9 − 30 ÷ 5
Answer and working
Answer A
Division and multiplication first: 5 × 9 = 45 and 30 ÷ 5 = 6. Then 76 + 45 − 6 = 115.
-
Solve both equations and compare x and y.
I. x² − 19x + 90 = 0
II. y² − 3y − 40 = 0Answer and working
Answer A
I gives x = 9 or 10. II gives y = −5 or 8. Every x is greater than every y: x > y.
-
What is the fourth proportional to 13, 23 and 182?
Answer and working
Answer C
13 : 23 = 182 : x, so x = 23 × 182 ÷ 13 = 322.
-
What is the simple interest on ₹51,500 at 9% per annum for 5 years?
Answer and working
Answer D
SI = P × R × T / 100 = 51,500 × 9 × 5 / 100 = ₹23,175.
-
Ramesh can finish a piece of work in 30 days and Suresh can finish it in 45 days. Working together, how long will they take?
Answer and working
Answer E
In one day they do 1/30 + 1/45 = 1/18 of the work. Time = 30 × 45 ÷ (30 + 45) = 18 days.
Directions for questions 66 to 70
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 480 384 Centre B 240 276 Centre C 360 324 Centre D 580 870 Centre E 500 525 -
What is the total for Centre B over the two years?
Answer and working
Answer B
240 + 276 = 516.
-
By what percent did Centre B’s figure change from Year 1 to Year 2?
Answer and working
Answer D
Change = 276 − 240 = 36. On Year 1: 36 ÷ 240 × 100 = 15% increase.
-
What is the ratio of Centre A’s Year 1 figure to Centre C’s Year 2 figure?
Answer and working
Answer B
480 : 324 = 40 : 27.
-
Centre C’s Year 2 figure is what percent of Centre B’s Year 2 figure?
Answer and working
Answer E
324 ÷ 276 × 100 = 117.39%.
-
What is the average Year 2 figure of the five?
Answer and working
Answer D
Sum of Year 2 = 2,379. ÷ 5 = 475.8.
-
Solve both equations and compare x and y.
I. x² + 8x + 15 = 0
II. y² − 16y + 60 = 0Answer and working
Answer C
I gives x = −5 or −3. II gives y = 6 or 10. Every x is smaller than every y: x < y.
-
A boat covers 40 km downstream in 4 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water?
Answer and working
Answer D
Downstream speed = 40 ÷ 4 = 10 km/h; upstream = 12 ÷ 3 = 4 km/h. Boat = (10 + 4) ÷ 2 = 7 km/h.
-
The present ages of Asha and her father are in the ratio 4 : 7. After 10 years, the ratio will be 7 : 11. What is Asha’s present age?
Answer and working
Answer B
Ages 4x and 7x. (4x + 10) : (7x + 10) = 7 : 11 gives x = 8. Asha is 4 × 8 = 32 years.
-
What is the compound interest on ₹60,000 for 2 years at 4% per annum, compounded annually?
Answer and working
Answer D
Amount = 60,000 × (1 + 4/100)2 = ₹64,896. CI = 64,896 − 60,000 = ₹4,896.
-
A train 160 m long crosses a platform 450 m long in 61 seconds. What is the speed of the train?
Answer and working
Answer A
It must cover its own length and the platform: 160 + 450 = 610 m in 61 s, so 10 m/s = 10 × 18/5 = 36 km/h.
-
What is √169 + √529 − √576?
Answer and working
Answer E
13 + 23 − 24 = 12.
-
Which number replaces the question mark? 64, 125, 216, 343, 512, ?
Answer and working
Answer E
The rule: the terms are 4³, 5³, 6³ …. The missing term is 729.
-
What is the value of 59² − 33²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 92 × 26 = 2,392.
-
Simplify: 5⁄6 + 2⁄5 + 1⁄2
Answer and working
Answer C
Over the common denominator 60: the sum is 26⁄15. Adding tops and bottoms separately (9/15) is the trap.
-
Three fair coins are tossed. What is the probability of getting at least two heads?
Answer and working
Answer C
Of the 8 equally likely outcomes, 4 qualify. Probability = 1⁄2.