- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 8114155
- Series
- C
IBPS RRB Clerk (Office Assistant) Prelims Paper 9
- 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
-
J is the husband of E. E is the daughter of Y. How is J related to Y?
Answer and working
Answer A
Follow the links out from Y: E is Y’s daughter; J is E’s husband. So J is Y’s son-in-law.
-
Which number replaces the question mark? 4, 8, 17, 33, 58, 94, ?
Answer and working
Answer B
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 143.
-
Statements:
(1) All pens are planes.
(2) All lamps are pens.
(3) Some watches are lamps.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some planes are watches.
(II) Some planes are pens.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.
-
C is the husband of K. B is the brother of C. How is B related to K?
Answer and working
Answer A
Follow the links out from K: C is K’s husband; B is C’s brother. So B is K’s brother-in-law.
-
In a certain code, MANGO is written as OYPEQ. How is MONEY written in that code?
Answer and working
Answer E
From MANGO → OYPEQ: letters in odd places move 2 forward, letters in even places move 2 back. Applied to MONEY: OMPCA.
-
Pooja walks 4 km towards the south. She turns left and walks 10 km. She turns right and walks 14 km. She turns left and walks 6 km. She turns right and walks 15 km. Which direction is she facing now?
Answer and working
Answer B
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs South.
-
Find the wrong number in the series: 3, 43, 7, 38, 11, 29, 15, 22
Answer and working
Answer C
The rule: two series alternate: 3, 7, 11 … rising by 4, and 43, 36, 29 … falling by 7. The term in place of 38 should be 36, so the wrong number is 38.
Directions for questions 8 to 12
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Arun sits somewhere to the right of Chetan. Esha sits third to the left of Bina. Exactly one person sits between Arun and Bina. Exactly one person sits between Divya and Arun.-
Who sits at the extreme right end?
Answer and working
Answer D
Only one order fits every clue, from the left: Chetan, Divya, Esha, Arun, Farhan, Bina. Bina.
-
What is Chetan’s position from the left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Chetan, Divya, Esha, Arun, Farhan, Bina. 1st.
-
Who sits at the extreme left end?
Answer and working
Answer B
Only one order fits every clue, from the left: Chetan, Divya, Esha, Arun, Farhan, Bina. Chetan.
-
Who sits immediately to the right of Chetan?
Answer and working
Answer C
Only one order fits every clue, from the left: Chetan, Divya, Esha, Arun, Farhan, Bina. Divya.
-
How many people sit between Bina and Arun?
Answer and working
Answer D
Only one order fits every clue, from the left: Chetan, Divya, Esha, Arun, Farhan, Bina. Between them: 1.
-
Statements:
(1) Some cups are lamps.
(2) All papers are lamps.
(3) All papers are clocks.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All cups are clocks.
(II) Some clocks are papers.Answer and working
Answer B
Conclusion I need not hold: some cups may lie outside clocks. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 54 × 9 ÷ 4 + 15 − 6?
Answer and working
Answer D
Replace the signs: 54 + 9 − 4 × 15 ÷ 6. Division and multiplication first, then addition and subtraction: 53.
-
In a row of 25 students, Kabir is 13th from the left. What is Kabir’s position from the right?
Answer and working
Answer E
Position from the right = total − position from the left + 1 = 25 − 13 + 1 = 13th.
-
Statement: B > N ≥ D > A ≥ Y
Conclusions: I. Y < B II. B ≥ AAnswer and working
Answer E
Y and B: the chain gives Y < B, so Y < B is definitely true. B and A: the chain gives B > A, so B ≥ A is definitely true. So: Both conclusions follow.
-
Lata walks 11 km towards the south. She turns left and walks 15 km. She turns left and walks 11 km. She turns left and walks 3 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 12 km east and 0 km north of the start. Distance = √(12² + 0²) = 12 km. 12 km, east.
-
Rohit walks 6 km towards the west. He turns left and walks 4 km. He turns left and walks 6 km. He turns left and walks 5 km. How far is he from the starting point in a straight line?
Answer and working
Answer C
Taking east and north as positive: he ends 0 km east and 1 km north of the start. Straight-line distance = √(0² + 1²) = 1 km.
-
Statements:
(1) Some rings are trees.
(2) No trees are kites.
(3) All planes are kites.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some rings are not kites.
(II) Some kites are 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.
-
In the English alphabet, which letter is 7th to the right of the 8th letter from the right?
Answer and working
Answer C
The 8th letter from the right is S (position 19). 7 places to the right: position 26, which is Z.
-
Statement: L ≥ T < Q = Z > V
Conclusions: I. Z ≥ T II. T < ZAnswer and working
Answer E
Z and T: the chain gives Z > T, so Z ≥ T is definitely true. T and Z: the chain gives T < Z, so T < Z is definitely true. So: Both conclusions follow.
-
Statements:
(1) Some flowers are not birds.
(2) Some roads are birds.
(3) No shirts are roads.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No shirts are birds.
(II) Some shirts are birds.Answer and working
Answer C
Conclusion I need not hold: shirts and birds may overlap. Conclusion II need not hold: shirts and birds need not overlap at all. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
Statements:
(1) No leaves are cups.
(2) Some lamps are leaves.
(3) All bells are lamps.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No cups are leaves.
(II) Some leaves are cups.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: leaves and cups need not overlap at all. So: Only conclusion I follows.
-
F is the mother of C. P is the father of F. How is P related to C?
Answer and working
Answer A
Follow the links out from C: F is C’s mother; P is F’s father. So P is C’s grandfather.
-
Statements:
(1) All buses are cups.
(2) Some cups are not tables.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All tables are buses.
(II) All cups are tables.Answer and working
Answer D
Conclusion I need not hold: some tables may lie outside buses. Conclusion II need not hold: some cups may lie outside tables. So: Neither conclusion follows.
-
In the English alphabet, which letter is 4th to the right of the 17th letter from the right?
Answer and working
Answer D
The 17th letter from the right is J (position 10). 4 places to the right: position 14, which is N.
-
In a certain code, BRIDGE is written as 45. How is CANDLE written in that code?
Answer and working
Answer A
BRIDGE = 45 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For CANDLE: 3 + 1 + 14 + 4 + 12 + 5 = 39.
-
Statement: W ≥ S < T < N < J
Conclusions: I. W ≥ T II. T ≤ JAnswer and working
Answer B
W and T: the signs between them point both ways, so no relation can be fixed, so W ≥ T is not definitely true. T and J: the chain gives T < J, so T ≤ J is definitely true. So: Only conclusion II follows.
-
If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 58 − 3 ÷ 8 + 9 × 2?
Answer and working
Answer C
Replace the signs: 58 + 3 − 8 × 9 ÷ 2. Division and multiplication first, then addition and subtraction: 25.
-
In a certain code, CARPET is written as UFQSBD. How is LAMP written in that code?
Answer and working
Answer B
From CARPET → UFQSBD: the word is written backwards and each letter moves 1 forward. Applied to LAMP: QNBM.
-
S is the wife of N. P is the son of B. B is the brother of S. How is P related to N?
Answer and working
Answer B
Follow the links out from N: S is N’s wife; B is S’s brother; P is B’s son. So P is N’s nephew.
-
Statements:
(1) No clouds are lamps.
(2) No fans are clouds.
(3) Some fans are tables.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No clouds are fans.
(II) All tables are lamps.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some tables may lie outside lamps. So: Only conclusion I follows.
-
Statement: N > P ≥ X > R > F
Conclusions: I. P > R II. R ≤ PAnswer and working
Answer E
P and R: the chain gives P > R, so P > R is definitely true. R and P: the chain gives R < P, so R ≤ P is definitely true. So: Both conclusions follow.
-
Sunil walks 15 km towards the south. He turns left and walks 2 km. He turns left and walks 11 km. In which direction is he from the starting point?
Answer and working
Answer E
Taking east and north as positive: he ends 2 km east and 4 km south of the start, which is to the South-east.
-
In a certain code, EAGLE is written as GYIJG. How is SHIP written in that code?
Answer and working
Answer C
From EAGLE → GYIJG: letters in odd places move 2 forward, letters in even places move 2 back. Applied to SHIP: UFKN.
-
In a certain code, GLASS is written as TTBMH. How is DESK written in that code?
Answer and working
Answer E
From GLASS → TTBMH: the word is written backwards and each letter moves 1 forward. Applied to DESK: LTFE.
-
Statement: R ≤ U = N = L < Y
Conclusions: I. N ≤ Y II. U ≤ LAnswer and working
Answer E
N and Y: the chain gives N < Y, so N ≤ Y is definitely true. U and L: the chain gives U = L, so U ≤ L is definitely true. So: Both conclusions follow.
-
Statement: Y < F ≥ J > M > B
Conclusions: I. F > M II. B = YAnswer and working
Answer A
F and M: the chain gives F > M, so F > M is definitely true. B and Y: the signs between them point both ways, so no relation can be fixed, so B = Y is not definitely true. So: Only conclusion I follows.
-
In a row of 29 students, Vikram is 11th 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 = 29 − 11 + 1 = 19th.
-
Which one does not belong with the others?
Answer and working
Answer C
130, 104, 182, 117 are multiples of 13; 159 is not. The odd one is 159.
Part BNumerical Ability
-
The incomes of P and Q are in the ratio 5 : 8 and their expenditures are in the ratio 8 : 13. If each saves ₹500 a month, what is P’s monthly income?
Answer and working
Answer B
Incomes 5x and 8x. (5x − 500) : (8x − 500) = 8 : 13 gives x = 2,500. P’s income = 5 × 2,500 = ₹12,500.
-
A shopkeeper marks his goods 25% above the cost price and allows a discount of 10%. What is his profit or loss percent?
Answer and working
Answer C
Take CP = 100. Marked price = 125. After 10% off: 125 × 90/100 = 112.5. So 12.5% profit.
-
Simplify: 23 + 15 × 4 − 20 ÷ 2
Answer and working
Answer D
Division and multiplication first: 15 × 4 = 60 and 20 ÷ 2 = 10. Then 23 + 60 − 10 = 73.
-
The fare for a journey goes from ₹360 to ₹396. What is the percentage increase?
Answer and working
Answer E
Change = ₹36. On the original value: 36 ÷ 360 × 100 = 10%, a 10% increase. Dividing by the new value, 396, is the usual slip.
-
A and B together can do a job in 10 days. A alone can do it in 12 days. In how many days can B alone do it?
Answer and working
Answer B
B’s one day = 1/10 − 1/12 = 1/60. B alone takes 60 days.
-
Which number replaces the question mark? 8, 24, 72, ?, 648, 1,944
Answer and working
Answer D
The rule: each term is the previous × 3. The missing term is 216.
-
A number is first increased by 20% and then decreased by 40%. What is the net change?
Answer and working
Answer C
Net effect = 20 − 40 − (20 × 40)/100 = −28%, so 28% decrease.
-
Solve both equations and compare x and y.
I. x² + x − 30 = 0
II. y² − 3y − 18 = 0Answer and working
Answer E
I gives x = −6 or 5. II gives y = −3 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.
-
Which number replaces the question mark? 4, 5, 12, 39, 160, ?
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 805.
-
Solve both equations and compare x and y.
I. x² + 5x = 0
II. y² − 21y + 108 = 0Answer and working
Answer C
I gives x = −5 or 0. II gives y = 9 or 12. Every x is smaller than every y: x < y.
-
Which number replaces the question mark? 64, 125, 216, ?, 512, 729
Answer and working
Answer A
The rule: the terms are 4³, 5³, 6³ …. The missing term is 343.
-
In what ratio must rice at ₹33/kg be mixed with rice at ₹52/kg so that the mixture is worth ₹37/kg?
Answer and working
Answer A
By alligation: cheaper : dearer = (52 − 37) : (37 − 33) = 15 : 4 = 15 : 4.
-
Solve both equations and compare x and y.
I. x² + 9x + 8 = 0
II. y² − 5y − 66 = 0Answer and working
Answer E
I gives x = −8 or −1. 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.
-
A train 345 m long passes a signal post in 23 seconds. What is its speed in km/h?
Answer and working
Answer A
Speed = 345 ÷ 23 = 15 m/s = 15 × 18/5 = 54 km/h.
-
Solve both equations and compare x and y.
I. x² − 12x + 11 = 0
II. y² − 7y − 8 = 0Answer and working
Answer E
I gives x = 1 or 11. II gives y = −1 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.
-
Simplify: 12 + 15 × 10 − 77 ÷ 7
Answer and working
Answer A
Division and multiplication first: 15 × 10 = 150 and 77 ÷ 7 = 11. Then 12 + 150 − 11 = 151.
-
Which number replaces the question mark? 5, 9, 18, 34, 59, 95, ?
Answer and working
Answer C
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 144.
-
What is the value of 59² − 44²?
Answer and working
Answer A
a² − b² = (a + b)(a − b) = 103 × 15 = 1,545.
-
Solve both equations and compare x and y.
I. x² − 12x + 32 = 0
II. y² − y − 30 = 0Answer and working
Answer E
I gives x = 4 or 8. II gives y = −5 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.
-
The present ages of Asha and her elder brother are in the ratio 7 : 8. After 12 years, the ratio will be 9 : 10. What is Asha’s present age?
Answer and working
Answer A
Ages 7x and 8x. (7x + 12) : (8x + 12) = 9 : 10 gives x = 6. Asha is 7 × 6 = 42 years.
-
The simple interest on a sum for 5 years at 5% per annum is ₹5,750. What is the sum?
Answer and working
Answer E
P = SI × 100 / (R × T) = 5,750 × 100 / (5 × 5) = ₹23,000.
-
A scooter runs at 126 km/h. What is its speed in metres per second?
Answer and working
Answer A
Multiply by 5/18: 126 × 5/18 = 35 m/s.
-
Which number replaces the question mark? 27, 64, 125, 216, 343, ?
Answer and working
Answer B
The rule: the terms are 3³, 4³, 5³ …. The missing term is 512.
Directions for questions 64 to 68
Study the table and answer the questions that follow.
Cars produced by five plants, in two successive years Plant Year 1 Year 2 Plant J 640 512 Plant K 560 672 Plant L 480 432 Plant M 280 350 Plant N 220 275 -
What is the total for Plant M over the two years?
Answer and working
Answer D
280 + 350 = 630.
-
Plant L’s Year 2 figure is what percent of Plant N’s Year 2 figure?
Answer and working
Answer B
432 ÷ 275 × 100 = 157.09%.
-
By what percent did Plant N’s figure change from Year 1 to Year 2?
Answer and working
Answer E
Change = 275 − 220 = 55. On Year 1: 55 ÷ 220 × 100 = 25% increase.
-
What is the average Year 2 figure of the five?
Answer and working
Answer E
Sum of Year 2 = 2,241. ÷ 5 = 448.2.
-
What is the ratio of Plant L’s Year 1 figure to Plant M’s Year 2 figure?
Answer and working
Answer C
480 : 350 = 48 : 35.
-
The population of a town is 32,000. It grows by 10% every year. What will it be after 2 years?
Answer and working
Answer E
32,000 × (1 + 10/100)² = 32,000 × 1.21 = 38,720. Growing 10% on 32,000 twice, not 20% once.
-
Simplify: 86 + 9 × 9 − 9 ÷ 3
Answer and working
Answer E
Division and multiplication first: 9 × 9 = 81 and 9 ÷ 3 = 3. Then 86 + 81 − 3 = 164.
-
What is the compound interest on ₹11,875 for 2 years at 8% per annum, compounded annually?
Answer and working
Answer A
Amount = 11,875 × (1 + 8/100)2 = ₹13,851. CI = 13,851 − 11,875 = ₹1,976.
-
A shopkeeper marks his goods 25% above the cost price and allows a discount of 30%. What is his profit or loss percent?
Answer and working
Answer A
Take CP = 100. Marked price = 125. After 30% off: 125 × 70/100 = 87.5. So 12.5% loss.
-
Two fair dice are thrown together. What is the probability that both show the same number?
Answer and working
Answer A
There are 36 equally likely outcomes and 6 of them qualify. Probability = 1⁄6.
-
What is the value of 66² − 26²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 92 × 40 = 3,680.
-
A boat covers 100 km downstream in 5 hours and 36 km upstream in 2 hours. What is the speed of the stream?
Answer and working
Answer A
Downstream speed = 100 ÷ 5 = 20 km/h; upstream = 36 ÷ 2 = 18 km/h. Stream = (20 − 18) ÷ 2 = 1 km/h.
-
What is the average of the first 11 natural numbers?
Answer and working
Answer A
Sum = 11 × 12/2, so the average is (11 + 1)/2 = 6.
-
Which number replaces the question mark? 6, 18, 54, 162, 486, ?
Answer and working
Answer D
The rule: each term is the previous × 3. The missing term is 1,458.
-
What is the value of 77² − 63²?
Answer and working
Answer A
a² − b² = (a + b)(a − b) = 140 × 14 = 1,960.
-
Solve both equations and compare x and y.
I. x² − 25 = 0
II. y² + 4y − 45 = 0Answer and working
Answer E
I gives x = −5 or 5. II gives y = −9 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.
-
Solve both equations and compare x and y.
I. x² + x − 42 = 0
II. y² + 16y + 63 = 0Answer and working
Answer B
I gives x = −7 or 6. II gives y = −9 or −7. No x is smaller than any y, and one value of each is equal: x ≥ y.