- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 3202411
- Series
- D
IBPS RRB Clerk (Office Assistant) 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. 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 the English alphabet, which letter is 8th to the right of the 12th letter from the left?
Answer and working
Answer B
The 12th letter from the left is L (position 12). 8 places to the right: position 20, which is T.
-
In the English alphabet, which letter is 4th to the right of the 11th letter from the left?
Answer and working
Answer E
The 11th letter from the left is K (position 11). 4 places to the right: position 15, which is O.
-
Statements:
(1) All doors are fans.
(2) Some fans are pens.
(3) All pens are books.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All doors are pens.
(II) All pens are doors.Answer and working
Answer D
Conclusion I need not hold: some doors may lie outside pens. Conclusion II need not hold: some pens may lie outside doors. So: Neither conclusion follows.
-
Statement: W = Q > A ≤ Z < H
Conclusions: I. A < H II. H < AAnswer and working
Answer A
A and H: the chain gives A < H, so A < H is definitely true. H and A: the chain gives H > A, so H < A is not definitely true. So: Only conclusion I follows.
-
Which one does not belong with the others?
Answer and working
Answer B
512, 216, 1331, 125 are cubes; 100 is a square, not a cube. The odd one is 100.
-
Statements:
(1) No shirts are doors.
(2) Some doors are trees.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some shirts are not doors.
(II) All doors are shirts.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some doors may lie outside shirts. So: Only conclusion I follows.
-
Sana walks 11 km towards the east. She turns left and walks 5 km. She turns right and walks 2 km. She turns left and walks 15 km. She turns left and walks 13 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 0 km east and 20 km north of the start. Distance = √(0² + 20²) = 20 km. 20 km, north.
-
Which number replaces the question mark? 59, 61, 67, 71, 73, ?
Answer and working
Answer B
The rule: consecutive prime numbers. The missing term is 79.
-
Neha walks 9 km towards the south. She turns left and walks 3 km. She turns left and walks 13 km. She turns right and walks 5 km. She turns left and walks 7 km. In which direction is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 8 km east and 11 km north of the start, which is to the North-east.
-
U is the husband of K. K is the sister of P. How is U related to P?
Answer and working
Answer A
Follow the links out from P: K is P’s sister; U is K’s husband. So U is P’s brother-in-law.
-
In a certain code, PILLOW is written as YQNNKR. How is COAT written in that code?
Answer and working
Answer E
From PILLOW → YQNNKR: the word is written backwards and each letter moves 2 forward. Applied to COAT: VCQE.
-
Which number replaces the question mark? 9, 11, 14, 18, 23, 29, ?
Answer and working
Answer E
The rule: the differences grow by 1: 2, 3, 4, 5, 6, 7. The missing term is 36.
-
In a certain code, MARKET is written as SDJQZL. How is CARPET written in that code?
Answer and working
Answer A
From MARKET → SDJQZL: the word is written backwards and each letter moves 1 back. Applied to CARPET: SDOQZB.
-
Statements:
(1) All kites are roads.
(2) No roads are rings.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No roads are kites.
(II) Some rings are kites.Answer and working
Answer D
Conclusion I need not hold: roads and kites may overlap. Conclusion II need not hold: rings and kites need not overlap at all. So: Neither conclusion follows.
-
In a certain code, SCHOOL is written as TBINPK. How is BRICK written in that code?
Answer and working
Answer D
From SCHOOL → TBINPK: letters in odd places move 1 forward, letters in even places move 1 back. Applied to BRICK: CQJBL.
-
In a class, Neha ranks 18th from the top and 30th from the bottom. How many students are in the class?
Answer and working
Answer C
Neha is counted in both ranks, so the total is 18 + 30 − 1 = 47.
-
Lata walks 5 km towards the north. She turns right and walks 12 km. She turns left and walks 4 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 North.
-
In a class, Meena ranks 25th from the top and 21st from the bottom. How many students are in the class?
Answer and working
Answer E
Meena is counted in both ranks, so the total is 25 + 21 − 1 = 45.
-
Statements:
(1) Some bags are rivers.
(2) Some flowers are not bags.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some bags are not rivers.
(II) No bags are rivers.Answer and working
Answer D
Conclusion I need not hold: every one of the bags may be rivers. Conclusion II need not hold: bags and rivers may overlap. So: Neither conclusion follows.
-
K is the brother of Q. Q is the wife of R. How is K related to R?
Answer and working
Answer B
Follow the links out from R: Q is R’s wife; K is Q’s brother. So K is R’s brother-in-law.
-
Statement: M > E ≥ K = C > V
Conclusions: I. K ≥ V II. M > VAnswer and working
Answer E
K and V: the chain gives K > V, so K ≥ V is definitely true. M and V: the chain gives M > V, so M > V is definitely true. So: Both conclusions follow.
-
Statement: Y < D < T ≤ K < M
Conclusions: I. K > Y II. D < MAnswer and working
Answer E
K and Y: the chain gives K > Y, so K > Y is definitely true. D and M: the chain gives D < M, so D < M is definitely true. So: Both conclusions follow.
-
W is the sister of Z. J is the daughter of W. How is J related to Z?
Answer and working
Answer A
Follow the links out from Z: W is Z’s sister; J is W’s daughter. So J is Z’s niece.
-
Statement: V = L ≥ A = E > M
Conclusions: I. E = L II. E < LAnswer and working
Answer C
E and L: the chain gives E ≤ L, so E = L is not definitely true. E and L: the chain gives E ≤ L, so E < L 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 40 + 10 − 2 ÷ 10 × 10?
Answer and working
Answer C
Replace the signs: 40 − 10 ÷ 2 × 10 + 10. Division and multiplication first, then addition and subtraction: 0.
-
Statement: H = A ≥ K ≤ R > L
Conclusions: I. K = H II. K < HAnswer and working
Answer C
K and H: the chain gives K ≤ H, so K = H is not definitely true. K and H: the chain gives K ≤ H, so K < H is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Statements:
(1) All bottles are birds.
(2) Some birds are trees.
(3) All kites are trees.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some kites are not bottles.
(II) Some birds are bottles.Answer and working
Answer B
Conclusion I need not hold: every one of the kites may be bottles. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statement: D < X > K = J = V
Conclusions: I. D ≥ J II. V < XAnswer and working
Answer B
D and J: the signs between them point both ways, so no relation can be fixed, so D ≥ J is not definitely true. V and X: the chain gives V < X, so V < X is definitely true. So: Only conclusion II follows.
-
G is the father of F. F is the father of T. How is G related to T?
Answer and working
Answer D
Follow the links out from T: F is T’s father; G is F’s father. So G is T’s grandfather.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 22 + 12 − 3 × 15 ÷ 7?
Answer and working
Answer D
Replace the signs: 22 × 12 ÷ 3 + 15 − 7. Division and multiplication first, then addition and subtraction: 96.
-
Statements:
(1) All bells are watches.
(2) All bells are lamps.
(3) All lamps are kites.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some lamps are kites.
(II) All bells are kites.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 tables are flowers.
(2) All tables are rings.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some rings are tables.
(II) Some tables are rings.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 33 to 37
Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Divya sits at one of the two ends. Divya sits somewhere to the right of Chetan. Arun sits third to the right of Chetan. Bina and Arun sit next to each other.-
Who sits at the extreme left end?
Answer and working
Answer E
Only one order fits every clue, from the left: Chetan, Esha, Bina, Arun, Divya. Chetan.
-
Who sits at the extreme right end?
Answer and working
Answer E
Only one order fits every clue, from the left: Chetan, Esha, Bina, Arun, Divya. Divya.
-
What is Bina’s position from the left end?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Esha, Bina, Arun, Divya. 3rd.
-
Which pair sits at the two ends of the row?
Answer and working
Answer E
Only one order fits every clue, from the left: Chetan, Esha, Bina, Arun, Divya. Chetan and Divya.
-
How many people sit between Chetan and Arun?
Answer and working
Answer D
Only one order fits every clue, from the left: Chetan, Esha, Bina, Arun, Divya. Between them: 2.
-
Asha walks 12 km towards the east. She turns left and walks 13 km. She turns right and walks 6 km. She turns left and walks 15 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 North.
-
In a certain code, SCHOOL is written as TBINPK. How is GOLD written in that code?
Answer and working
Answer C
From SCHOOL → TBINPK: letters in odd places move 1 forward, letters in even places move 1 back. Applied to GOLD: HNMC.
-
In a certain code, FLOWER is written as 85. How is GARDEN written in that code?
Answer and working
Answer A
FLOWER = 85 is the sum of (position + 1) for each letter. For GARDEN: 8 + 2 + 19 + 5 + 6 + 15 = 55.
Part BNumerical Ability
-
Solve both equations and compare x and y.
I. x² − 13x + 40 = 0
II. y² − 5y − 14 = 0Answer and working
Answer E
I gives x = 5 or 8. II gives y = −2 or 7. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Simplify: 15 + 12 × 6 − 21 ÷ 3
Answer and working
Answer D
Division and multiplication first: 12 × 6 = 72 and 21 ÷ 3 = 7. Then 15 + 72 − 7 = 80.
-
A sum of money becomes three times itself in 20 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer C
The interest earned is 2 times the principal in 20 years. Rate = 2 × 100 / 20 = 10%.
-
Solve both equations and compare x and y.
I. x² − 7x − 44 = 0
II. y² − 4y − 77 = 0Answer and working
Answer E
I gives x = −4 or 11. II gives y = −7 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 population of a town is 9,600. It grows by 5% every year. What will it be after 2 years?
Answer and working
Answer D
9,600 × (1 + 5/100)² = 9,600 × 1.1 = 10,584. Growing 5% on 9,600 twice, not 10% once.
-
A shopkeeper marks his goods 60% above the cost price and allows a discount of 15%. What is his profit or loss percent?
Answer and working
Answer A
Take CP = 100. Marked price = 160. After 15% off: 160 × 85/100 = 136. So 36% profit.
-
Solve both equations and compare x and y.
I. x² − 12x + 11 = 0
II. y² − 11y + 18 = 0Answer and working
Answer E
I gives x = 1 or 11. II gives y = 2 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.
-
The sum of the present ages of a father and his son is 52 years. 6 years ago, the father was 3 times as old as the son. How old is the son now?
Answer and working
Answer D
Let the son be s. Then (52 − s − 6) = 3(s − 6), so 64 = 4s and s = 16 years.
-
Which number replaces the question mark? 7, 26, 63, ?, 215, 342
Answer and working
Answer A
The rule: the terms are 2³, 3³, 4³ … minus 1. The missing term is 124.
-
What is the difference between the compound interest and the simple interest on ₹13,750 for 2 years at 4% per annum?
Answer and working
Answer E
For 2 years, CI − SI = P × (R/100)² = 13,750 × (4/100)² = ₹22.
-
Ramesh can finish a piece of work in 8 days and Suresh can finish it in 56 days. Working together, how long will they take?
Answer and working
Answer B
In one day they do 1/8 + 1/56 = 1/7 of the work. Time = 8 × 56 ÷ (8 + 56) = 7 days.
-
Find the wrong number in the series: 5, 7, 16, 23, 37, 55, 77
Answer and working
Answer D
The rule: the differences grow by 4: 2, 6, 10, 14, 18, 22. The term in place of 16 should be 13, so the wrong number is 16.
-
Solve both equations and compare x and y.
I. x² − 11x + 30 = 0
II. y² − 6y − 16 = 0Answer and working
Answer E
I gives x = 5 or 6. II gives y = −2 or 8. 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 81² − 56²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 137 × 25 = 3,425.
-
The average weight of 10 people goes up by 2 kg when a new person takes the place of one who weighs 55 kg. What does the new person weigh?
Answer and working
Answer A
The total rises by 10 × 2 = 20 kg, so the new person weighs 55 + 20 = 75 kg.
-
In what ratio must rice at ₹45/kg be mixed with rice at ₹56/kg so that the mixture is worth ₹51/kg?
Answer and working
Answer B
By alligation: cheaper : dearer = (56 − 51) : (51 − 45) = 5 : 6 = 5 : 6.
-
What is the fourth proportional to 11, 11 and 253?
Answer and working
Answer B
11 : 11 = 253 : x, so x = 11 × 253 ÷ 11 = 253.
-
A shopkeeper marks an article 50% above its cost price and allows a discount of 10%. If the article was sold for ₹810, what was its cost price?
Answer and working
Answer A
SP = CP × 1.5 × 0.9 = CP × 1.35. So CP = 810 ÷ 1.35 = ₹600.
-
What is the value of 95² − 74²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 169 × 21 = 3,549.
-
Which number replaces the question mark? 6, 15, ?, 56, 92, 141
Answer and working
Answer D
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The missing term is 31.
-
A boat covers 48 km downstream in 4 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 48 ÷ 4 = 12 km/h; upstream = 12 ÷ 2 = 6 km/h. Boat = (12 + 6) ÷ 2 = 9 km/h.
-
Solve both equations and compare x and y.
I. x² + 6x + 5 = 0
II. y² − 18y + 72 = 0Answer and working
Answer C
I gives x = −5 or −1. II gives y = 6 or 12. Every x is smaller than every y: x < y.
-
Solve both equations and compare x and y.
I. x² − 10x − 24 = 0
II. y² − 6y = 0Answer and working
Answer E
I gives x = −2 or 12. II gives y = 0 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 bus goes from Pune to Nashik at 48 km/h and returns by the same road at 80 km/h. What is its average speed for the whole journey?
Answer and working
Answer A
For equal distances, average speed = 2xy/(x + y) = 2 × 48 × 80 ÷ 128 = 60 km/h. The plain average, 64, ignores that the slower leg takes longer.
-
What is 62.5% of 480?
Answer and working
Answer C
62.5% of 480 = 480 × 62.5/100 = 300.
-
Solve both equations and compare x and y.
I. x² − 2x = 0
II. y² − 12y + 27 = 0Answer and working
Answer C
I gives x = 0 or 2. II gives y = 3 or 9. Every x is smaller than every y: x < y.
-
By selling a watch for ₹459, a man loses 15%. For how much should he sell it to gain 5%?
Answer and working
Answer E
CP = 459 × 100/85 = ₹540. For a 5% gain: 540 × 105/100 = ₹567.
-
What is √361 + √529 − √324?
Answer and working
Answer D
19 + 23 − 18 = 24.
-
Which number replaces the question mark? 15, 24, 35, 48, 63, 80, ?
Answer and working
Answer B
The rule: the terms are 4², 5², 6² … minus 1. The missing term is 99.
-
Two trains 250 m and 230 m long run on parallel tracks in opposite directions at 40 km/h and 32 km/h. How long do they take to cross each other?
Answer and working
Answer D
Relative speed = 40 + 32 = 72 km/h = 20 m/s. Distance = 250 + 230 = 480 m. Time = 480 ÷ 20 = 24 seconds.
-
Which number replaces the question mark? 14, 65, 20, 62, 26, 59, 32, ?
Answer and working
Answer C
The rule: two series alternate: 14, 20, 26 … rising by 6, and 65, 62, 59 … falling by 3. The missing term is 56.
-
Find the wrong number in the series: 36, 49, 64, 87, 100, 121, 144
Answer and working
Answer E
The rule: the terms are 6², 7², 8² …. The term in place of 87 should be 81, so the wrong number is 87.
-
Simplify: 44 + 12 × 11 − 40 ÷ 8
Answer and working
Answer B
Division and multiplication first: 12 × 11 = 132 and 40 ÷ 8 = 5. Then 44 + 132 − 5 = 171.
-
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 C
26 of the 52 cards qualify. Probability = 1⁄2.
Directions for questions 75 to 79
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 660 693 Shop Q 740 777 Shop R 420 630 Shop S 580 522 Shop T 460 575 -
By what percent did Shop T’s figure change from Year 1 to Year 2?
Answer and working
Answer E
Change = 575 − 460 = 115. On Year 1: 115 ÷ 460 × 100 = 25% increase.
-
What is the total for Shop T over the two years?
Answer and working
Answer B
460 + 575 = 1,035.
-
Shop S’s Year 2 figure is what percent of Shop P’s Year 2 figure?
Answer and working
Answer B
522 ÷ 693 × 100 = 75.32%.
-
What is the ratio of Shop Q’s Year 1 figure to Shop S’s Year 2 figure?
Answer and working
Answer E
740 : 522 = 370 : 261.
-
What is the average Year 2 figure of the five?
Answer and working
Answer A
Sum of Year 2 = 3,197. ÷ 5 = 639.4.
-
Simplify: 20 + 15 × 3 − 49 ÷ 7
Answer and working
Answer E
Division and multiplication first: 15 × 3 = 45 and 49 ÷ 7 = 7. Then 20 + 45 − 7 = 58.