- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 7263942
- Series
- C
IBPS RRB Clerk (Office Assistant) 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. 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
-
Statement: U > W > R ≥ A < Y
Conclusions: I. A ≤ U II. Y = RAnswer and working
Answer A
A and U: the chain gives A < U, so A ≤ U is definitely true. Y and R: the signs between them point both ways, so no relation can be fixed, so Y = R is not definitely true. So: Only conclusion I follows.
-
E is the mother of N. H is the sister of E. F is the husband of H. How is F related to N?
Answer and working
Answer D
Follow the links out from N: E is N’s mother; H is E’s sister; F is H’s husband. So F is N’s uncle.
-
In a certain code, KNIFE is written as PMRUV. How is MARKET written in that code?
Answer and working
Answer C
From KNIFE → PMRUV: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to MARKET: NZIPVG.
-
In a certain code, PENCIL is written as RGPEKN. How is APPLE written in that code?
Answer and working
Answer A
From PENCIL → RGPEKN: each letter moves 2 places forward. Applied to APPLE: CRRNG.
-
Statements:
(1) No shirts are clocks.
(2) All cups are clocks.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No shirts are cups.
(II) Some cups are not shirts.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 6 to 10
Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Esha does not sit at either end. Chetan sits third to the right of Arun. Esha sits second to the right of Divya.-
Who sits at the extreme left end?
Answer and working
Answer E
Only one order fits every clue, from the left: Divya, Arun, Esha, Bina, Chetan. Divya.
-
How many people sit between Esha and Chetan?
Answer and working
Answer E
Only one order fits every clue, from the left: Divya, Arun, Esha, Bina, Chetan. Between them: 1.
-
Which pair sits at the two ends of the row?
Answer and working
Answer B
Only one order fits every clue, from the left: Divya, Arun, Esha, Bina, Chetan. Divya and Chetan.
-
What is Bina’s position from the left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Divya, Arun, Esha, Bina, Chetan. 4th.
-
Who sits at the extreme right end?
Answer and working
Answer C
Only one order fits every clue, from the left: Divya, Arun, Esha, Bina, Chetan. Chetan.
-
In a certain code, WINDOW is written as VHMCNV. How is COPPER written in that code?
Answer and working
Answer A
From WINDOW → VHMCNV: each letter moves 1 place back. Applied to COPPER: BNOODQ.
-
Statement: F < A < P = T ≤ B
Conclusions: I. P ≥ F II. P ≤ BAnswer and working
Answer E
P and F: the chain gives P > F, so P ≥ F is definitely true. P and B: the chain gives P ≤ B, so P ≤ B is definitely true. So: Both conclusions follow.
-
In a certain code, SUGAR is written as USIYT. How is BOOK written in that code?
Answer and working
Answer B
From SUGAR → USIYT: letters in odd places move 2 forward, letters in even places move 2 back. Applied to BOOK: DMQI.
-
If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 5 ÷ 12 × 4 − 10 + 9?
Answer and working
Answer A
Replace the signs: 5 × 12 ÷ 4 + 10 − 9. Division and multiplication first, then addition and subtraction: 16.
-
In the English alphabet, which letter is 9th to the left of the 11th letter from the right?
Answer and working
Answer A
The 11th letter from the right is P (position 16). 9 places to the left: position 7, which is G.
-
V is the husband of Q. Q is the sister of A. How is V related to A?
Answer and working
Answer E
Follow the links out from A: Q is A’s sister; V is Q’s husband. So V is A’s brother-in-law.
-
Priya walks 12 km towards the east. She turns right and walks 7 km. She turns right and walks 14 km. She turns left and walks 9 km. She turns right and walks 13 km. Which direction is she facing now?
Answer and working
Answer A
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs West.
-
Statement: J ≤ W = Z < B ≤ P
Conclusions: I. B ≥ W II. J = ZAnswer and working
Answer A
B and W: the chain gives B > W, so B ≥ W is definitely true. J and Z: the chain gives J ≤ Z, so J = Z is not definitely true. So: Only conclusion I follows.
-
Statements:
(1) Some pens are clocks.
(2) Some boxes are clocks.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All boxes are clocks.
(II) Some clocks are boxes.Answer and working
Answer B
Conclusion I need not hold: some boxes may lie outside clocks. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
V is the brother of F. F is the father of P. How is V related to P?
Answer and working
Answer C
Follow the links out from P: F is P’s father; V is F’s brother. So V is P’s uncle.
-
Neha walks 13 km towards the south. She turns right and walks 5 km. She turns right and walks 8 km. She turns right and walks 5 km. She turns left and walks 8 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer E
Taking east and north as positive: she ends 0 km east and 3 km north of the start. Distance = √(0² + 3²) = 3 km. 3 km, north.
-
In a certain code, PLANET is written as NJYLCR. How is PLANT written in that code?
Answer and working
Answer B
From PLANET → NJYLCR: each letter moves 2 places back. Applied to PLANT: NJYLR.
-
Statements:
(1) Some buses are rivers.
(2) No stones are rivers.
(3) All tables are stones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No buses are tables.
(II) Some stones are rivers.Answer and working
Answer D
Conclusion I need not hold: buses and tables may overlap. Conclusion II need not hold: stones and rivers need not overlap at all. So: Neither conclusion follows.
-
Statement: F < S < W ≤ K > G
Conclusions: I. F ≤ W II. K > FAnswer and working
Answer E
F and W: the chain gives F < W, so F ≤ W is definitely true. K and F: the chain gives K > F, so K > F is definitely true. So: Both conclusions follow.
-
Sunil walks 15 km towards the east. He turns left and walks 15 km. He turns left and walks 12 km. In which direction is he from the starting point?
Answer and working
Answer D
Taking east and north as positive: he ends 3 km east and 15 km north of the start, which is to the North-east.
-
In a queue, Kabir is 14th from the front and Sohan is 35th from the front. How many people stand between them?
Answer and working
Answer C
Between positions 14 and 35 there are 35 − 14 − 1 = 20 people.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 14 − 10 + 7 ÷ 16 × 5?
Answer and working
Answer B
Replace the signs: 14 × 10 ÷ 7 + 16 − 5. Division and multiplication first, then addition and subtraction: 31.
-
Statements:
(1) Some roads are not lamps.
(2) All roads are trees.
(3) All birds are trees.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All lamps are trees.
(II) Some lamps are not trees.Answer and working
Answer C
Conclusion I need not hold: some lamps may lie outside trees. Conclusion II need not hold: every one of the lamps may be trees. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
In a row of 40 students, Vikram is 31st from the left. What is Vikram’s position from the right?
Answer and working
Answer C
Position from the right = total − position from the left + 1 = 40 − 31 + 1 = 10th.
-
Statements:
(1) Some flowers are leaves.
(2) No buses are leaves.
(3) All watches are buses.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some leaves are not buses.
(II) Some leaves are flowers.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.
-
Statement: K < U < T ≤ D ≥ R
Conclusions: I. K ≤ D II. K ≥ DAnswer and working
Answer A
K and D: the chain gives K < D, so K ≤ D is definitely true. K and D: the chain gives K < D, so K ≥ D is not definitely true. So: Only conclusion I follows.
-
Statement: Q < K = T ≤ C ≤ A
Conclusions: I. K < A II. K = AAnswer and working
Answer C
K and A: the chain gives K ≤ A, so K < A is not definitely true. K and A: the chain gives K ≤ A, so K = A is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Kabir walks 2 km towards the north. He turns left and walks 8 km. He turns left and walks 13 km. He turns left and walks 9 km. He turns left and walks 11 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer B
Taking east and north as positive: he ends 1 km east and 0 km north of the start. Distance = √(1² + 0²) = 1 km. 1 km, east.
-
In the English alphabet, which letter is 3rd to the left of the 16th letter from the left?
Answer and working
Answer E
The 16th letter from the left is P (position 16). 3 places to the left: position 13, which is M.
-
Pointing to a woman in a photograph, Tarun said, ‘Her mother is the only daughter of my mother.’ How is the woman related to Tarun?
Answer and working
Answer C
The only daughter of my mother is my sister, so the child is my sister’s. So the woman is Tarun’s niece.
-
Statements:
(1) All bottles are rings.
(2) Some planes are bottles.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some planes are not bottles.
(II) All planes are bottles.Answer and working
Answer C
Conclusion I need not hold: every one of the planes may be bottles. Conclusion II need not hold: some planes may lie outside bottles. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
Which number replaces the question mark? 27, 31, 38, 48, 61, 77, ?
Answer and working
Answer C
The rule: the differences grow by 3: 4, 7, 10, 13, 16, 19. The missing term is 96.
-
Statements:
(1) All buses are kites.
(2) All buses are doors.
(3) Some doors are not fans.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some doors are not buses.
(II) All doors are kites.Answer and working
Answer D
Conclusion I need not hold: every one of the doors may be buses. Conclusion II need not hold: some doors may lie outside kites. So: Neither conclusion follows.
-
Which number replaces the question mark? 126, 217, 344, ?, 730, 1,001
Answer and working
Answer D
The rule: the terms are 5³, 6³, 7³ … plus 1. The missing term is 513.
-
Which one does not belong with the others?
Answer and working
Answer A
289, 196, 25, 49 are perfect squares; 224 is not. The odd one is 224.
Part BNumerical Ability
-
What is the value of 86² − 11²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 97 × 75 = 7,275.
-
Solve both equations and compare x and y.
I. x² + 15x + 56 = 0
II. y² − y − 6 = 0Answer and working
Answer C
I gives x = −8 or −7. II gives y = −2 or 3. Every x is smaller than every y: x < y.
-
What is √361 + √484 − √625?
Answer and working
Answer C
19 + 22 − 25 = 16.
-
Simplify: 27 + 8 × 8 − 25 ÷ 5
Answer and working
Answer E
Division and multiplication first: 8 × 8 = 64 and 25 ÷ 5 = 5. Then 27 + 64 − 5 = 86.
-
The average of 7 numbers is 50. When one number is removed, the average of the rest is 47. Which number was removed?
Answer and working
Answer E
Total of 7 = 7 × 50 = 350. Total of 6 = 6 × 47 = 282. Removed = 350 − 282 = 68.
-
Solve both equations and compare x and y.
I. x² − 12x + 32 = 0
II. y² − 1 = 0Answer and working
Answer A
I gives x = 4 or 8. II gives y = −1 or 1. Every x is greater than every y: x > y.
-
Simplify: 1⁄5 + 1⁄2 + 4⁄5
Answer and working
Answer B
Over the common denominator 10: the sum is 3⁄2. Adding tops and bottoms separately (7/17) is the trap.
-
A trader buys a bicycle for ₹675 and sells it for ₹540. What is the profit or loss percent?
Answer and working
Answer C
Loss = ₹135. As a percent of the cost price: 135 ÷ 675 × 100 = 20% loss.
Directions for questions 49 to 53
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 440 484 Shop Q 740 888 Shop R 460 575 Shop S 760 950 Shop T 240 336 -
What is the total for Shop S over the two years?
Answer and working
Answer D
760 + 950 = 1,710.
-
By what percent did Shop R’s figure change from Year 1 to Year 2?
Answer and working
Answer D
Change = 575 − 460 = 115. On Year 1: 115 ÷ 460 × 100 = 25% increase.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer C
Growth: Shop P 10%, Shop Q 20%, Shop R 25%, Shop S 25%, Shop T 40%. The highest is Shop T.
-
What is the ratio of Shop T’s Year 1 figure to Shop P’s Year 2 figure?
Answer and working
Answer D
240 : 484 = 60 : 121.
-
What is the average Year 2 figure of the five?
Answer and working
Answer B
Sum of Year 2 = 3,233. ÷ 5 = 646.6.
-
Solve both equations and compare x and y.
I. x² − 4x − 96 = 0
II. y² − 2y − 99 = 0Answer and working
Answer E
I gives x = −8 or 12. 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 − 7x + 10 = 0
II. y² − 81 = 0Answer and working
Answer E
I gives x = 2 or 5. II gives y = −9 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.
-
Solve both equations and compare x and y.
I. x² + 12x + 35 = 0
II. y² − 6y = 0Answer and working
Answer C
I gives x = −7 or −5. II gives y = 0 or 6. Every x is smaller than every y: x < y.
-
The population of a town is 47,225. It grows by 20% every year. What will it be after 2 years?
Answer and working
Answer A
47,225 × (1 + 20/100)² = 47,225 × 1.44 = 68,004. Growing 20% on 47,225 twice, not 40% once.
-
Simplify: 1⁄4 + 1⁄3 + 1⁄12
Answer and working
Answer C
Over the common denominator 12: the sum is 2⁄3. Adding tops and bottoms separately (3/19) is the trap.
-
20 litres of a mixture contains milk and water in the ratio 4 : 1. How much water must be added to make the ratio 1 : 1?
Answer and working
Answer C
Milk = 16 l, water = 4 l. For 1 : 1, water must be 16 × 1/1 = 16 l. Add 16 − 4 = 12 litres.
-
Two successive discounts of 20% and 25% are equal to a single discount of:
Answer and working
Answer C
Single discount = 20 + 25 − (20 × 25)/100 = 40%. The second discount is taken on the already reduced price, so the two do not simply add.
-
A boat covers 92 km downstream in 4 hours and 39 km upstream in 3 hours. What is the speed of the stream?
Answer and working
Answer A
Downstream speed = 92 ÷ 4 = 23 km/h; upstream = 39 ÷ 3 = 13 km/h. Stream = (23 − 13) ÷ 2 = 5 km/h.
-
Which number replaces the question mark? 63, 124, 215, 342, 511, ?
Answer and working
Answer E
The rule: the terms are 4³, 5³, 6³ … minus 1. The missing term is 728.
-
Solve both equations and compare x and y.
I. x² − 10x + 16 = 0
II. y² − 8y − 20 = 0Answer and working
Answer E
I gives x = 2 or 8. II gives y = −2 or 10. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Find the wrong number in the series: 17, 67, 25, 61, 29, 55, 35, 49
Answer and working
Answer D
The rule: two series alternate: 17, 23, 29 … rising by 6, and 67, 61, 55 … falling by 6. The term in place of 25 should be 23, so the wrong number is 25.
-
Solve both equations and compare x and y.
I. x² + x − 42 = 0
II. y² − 11y + 10 = 0Answer and working
Answer E
I gives x = −7 or 6. II gives y = 1 or 10. 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 the value of 90² − 20²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 110 × 70 = 7,700.
-
A is twice as efficient as B. Together they finish a job in 18 days. How long would A take alone?
Answer and working
Answer C
If B does 1 unit a day, A does 2; together 3 units a day for 18 days = 54 units. A alone: 54 ÷ 2 = 27 days.
-
The present ages of Asha and her elder brother are in the ratio 7 : 8. After 4 years, the ratio will be 8 : 9. What is Asha’s present age?
Answer and working
Answer E
Ages 7x and 8x. (7x + 4) : (8x + 4) = 8 : 9 gives x = 4. Asha is 7 × 4 = 28 years.
-
Which number replaces the question mark? 8, 16, 32, 64, 128, ?
Answer and working
Answer E
The rule: each term is the previous × 2. The missing term is 256.
-
Which number replaces the question mark? 14, 23, 39, 64, 100, 149, ?
Answer and working
Answer E
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The missing term is 213.
-
One card is drawn at random from a well-shuffled pack of 52. What is the probability that it is a black card?
Answer and working
Answer B
26 of the 52 cards qualify. Probability = 1⁄2.
-
Which number replaces the question mark? 4, 10, 28, 82, 244, 730, ?
Answer and working
Answer A
The rule: each term is the previous × 3 − 2. The missing term is 2,188.
-
A bus goes from Pune to Nashik at 10 km/h and returns by the same road at 30 km/h. What is its average speed for the whole journey?
Answer and working
Answer D
For equal distances, average speed = 2xy/(x + y) = 2 × 10 × 30 ÷ 40 = 15 km/h. The plain average, 20, ignores that the slower leg takes longer.
-
The fare for a journey goes from ₹300 to ₹525. What is the percentage increase?
Answer and working
Answer E
Change = ₹225. On the original value: 225 ÷ 300 × 100 = 75%, a 75% increase. Dividing by the new value, 525, is the usual slip.
-
₹7,200 is divided among Meera, Arjun and Kavya in the ratio 7 : 2 : 1. What is Arjun’s share?
Answer and working
Answer E
Total parts = 7 + 2 + 1 = 10. Arjun gets 2/10 × 7,200 = ₹1,440.
-
What is the compound interest on ₹72,000 for 3 years at 10% per annum, compounded annually?
Answer and working
Answer C
Amount = 72,000 × (1 + 10/100)3 = ₹95,832. CI = 95,832 − 72,000 = ₹23,832.
-
Which number replaces the question mark? 0, 7, 26, 63, 124, ?
Answer and working
Answer B
The rule: the terms are 1³, 2³, 3³ … minus 1. The missing term is 215.
-
What is the simple interest on ₹30,000 at 9% per annum for 2 years?
Answer and working
Answer B
SI = P × R × T / 100 = 30,000 × 9 × 2 / 100 = ₹5,400.
-
A scooter runs at 54 km/h. What is its speed in metres per second?
Answer and working
Answer C
Multiply by 5/18: 54 × 5/18 = 15 m/s.
-
A train 200 m long passes a signal post in 5 seconds. What is its speed in km/h?
Answer and working
Answer A
Speed = 200 ÷ 5 = 40 m/s = 40 × 18/5 = 144 km/h.