- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 6986331
- Series
- B
IBPS RRB Clerk (Office Assistant) Prelims Paper 10
- 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
-
Asha walks 12 km towards the east. She turns right and walks 14 km. She turns left and walks 11 km. She turns left and walks 6 km. She turns right and walks 14 km. Which direction is she facing now?
Answer and working
Answer D
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.
-
Statement: C < T ≥ A > V ≥ K
Conclusions: I. T > V II. A < CAnswer and working
Answer A
T and V: the chain gives T > V, so T > V is definitely true. A and C: the signs between them point both ways, so no relation can be fixed, so A < C is not definitely true. So: Only conclusion I follows.
-
If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 3 + 4 ÷ 12 × 3 − 2?
Answer and working
Answer B
Replace the signs: 3 × 4 − 12 ÷ 3 + 2. Division and multiplication first, then addition and subtraction: 10.
-
In a certain code, LEMON is written as NGOQP. How is MIRROR written in that code?
Answer and working
Answer E
From LEMON → NGOQP: each letter moves 2 places forward. Applied to MIRROR: OKTTQT.
-
Pointing to a woman in a photograph, Neha said, ‘Her father is the only son of my father.’ How is the woman related to Neha?
Answer and working
Answer B
The only son of my father is my brother, so the child is my brother’s. So the woman is Neha’s niece.
-
Statement: L > Y > T ≤ J ≤ V
Conclusions: I. T < L II. L ≥ VAnswer and working
Answer A
T and L: the chain gives T < L, so T < L is definitely true. L and V: the signs between them point both ways, so no relation can be fixed, so L ≥ V is not definitely true. So: Only conclusion I follows.
-
In a certain code, RAIN is written as QZHM. How is BOOK written in that code?
Answer and working
Answer D
From RAIN → QZHM: each letter moves 1 place back. Applied to BOOK: ANNJ.
-
Meera walks 12 km towards the west. She turns right and walks 6 km. She turns right and walks 9 km. She turns right and walks 6 km. She turns right and walks 14 km. How far is she from the starting point in a straight line?
Answer and working
Answer D
Taking east and north as positive: she ends 17 km west and 0 km north of the start. Straight-line distance = √(17² + 0²) = 17 km.
-
Find the wrong number in the series: 24, 25, 29, 36, 55, 59, 75
Answer and working
Answer D
The rule: the differences grow by 3: 1, 4, 7, 10, 13, 16. The term in place of 55 should be 46, so the wrong number is 55.
-
In a certain code, BASKET is written as DYUIGR. How is APPLE written in that code?
Answer and working
Answer E
From BASKET → DYUIGR: letters in odd places move 2 forward, letters in even places move 2 back. Applied to APPLE: CNRJG.
-
Statements:
(1) All coins are stones.
(2) Some lamps are stones.
(3) All lamps are tables.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No stones are tables.
(II) Some stones are not lamps.Answer and working
Answer D
Conclusion I need not hold: stones and tables may overlap. Conclusion II need not hold: every one of the stones may be lamps. So: Neither conclusion follows.
-
Statement: T = X < C ≤ E = B
Conclusions: I. E < T II. T = CAnswer and working
Answer D
E and T: the chain gives E > T, so E < T is not definitely true. T and C: the chain gives T < C, so T = C is not definitely true. So: Neither conclusion follows.
-
In a certain code, MOTHER is written as NLGSVI. How is PLANT written in that code?
Answer and working
Answer C
From MOTHER → NLGSVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to PLANT: KOZMG.
-
In a row of 43 students, Kabir is 35th from the left. What is Kabir’s position from the right?
Answer and working
Answer B
Position from the right = total − position from the left + 1 = 43 − 35 + 1 = 9th.
-
Statements:
(1) Some leaves are rivers.
(2) No leaves are tables.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No rivers are tables.
(II) Some leaves are not rivers.Answer and working
Answer D
Conclusion I need not hold: rivers and tables may overlap. Conclusion II need not hold: every one of the leaves may be rivers. So: Neither conclusion follows.
-
Statement: H = L ≥ U ≥ V ≤ S
Conclusions: I. L = V II. L > VAnswer and working
Answer C
L and V: the chain gives L ≥ V, so L = V is not definitely true. L and V: the chain gives L ≥ V, so L > V is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Statements:
(1) Some bags are roads.
(2) All roads are clouds.
(3) No books are clouds.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some clouds are books.
(II) Some books are not roads.Answer and working
Answer B
Conclusion I need not hold: clouds and books need not overlap at all. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
Directions for questions 18 to 22
Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Exactly one person sits between Divya and Arun. Esha and Bina sit next to each other. Divya sits immediately to the left of Bina.-
How many people sit between Arun and Bina?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Chetan, Divya, Bina, Esha. Between them: 2.
-
Which pair sits at the two ends of the row?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Chetan, Divya, Bina, Esha. Arun and Esha.
-
What is Esha’s position from the left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Chetan, Divya, Bina, Esha. 5th.
-
Who sits at the extreme right end?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Chetan, Divya, Bina, Esha. Esha.
-
Who sits at the extreme left end?
Answer and working
Answer C
Only one order fits every clue, from the left: Arun, Chetan, Divya, Bina, Esha. Arun.
-
Statements:
(1) Some coins are clouds.
(2) All leaves are clouds.
(3) All lamps are leaves.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All lamps are clouds.
(II) All coins are lamps.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some coins may lie outside lamps. So: Only conclusion I follows.
-
H is the daughter of R. B is the husband of H. How is B related to R?
Answer and working
Answer D
Follow the links out from R: H is R’s daughter; B is H’s husband. So B is R’s son-in-law.
-
P is the husband of S. S is the sister of C. C is the father of J. How is P related to J?
Answer and working
Answer D
Follow the links out from J: C is J’s father; S is C’s sister; P is S’s husband. So P is J’s uncle.
-
If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 10 ÷ 10 + 8 − 18 × 12?
Answer and working
Answer C
Replace the signs: 10 + 10 − 8 × 18 ÷ 12. Division and multiplication first, then addition and subtraction: 8.
-
L is the daughter of D. D is the sister of Q. How is L related to Q?
Answer and working
Answer A
Follow the links out from Q: D is Q’s sister; L is D’s daughter. So L is Q’s niece.
-
Statements:
(1) Some watches are not doors.
(2) Some stones are watches.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All doors are watches.
(II) Some watches are not stones.Answer and working
Answer D
Conclusion I need not hold: some doors may lie outside watches. Conclusion II need not hold: every one of the watches may be stones. So: Neither conclusion follows.
-
Statement: P > Y ≥ M = R = Q
Conclusions: I. M = Q II. M ≤ PAnswer and working
Answer E
M and Q: the chain gives M = Q, so M = Q is definitely true. M and P: the chain gives M < P, so M ≤ P is definitely true. So: Both conclusions follow.
-
Which number replaces the question mark? 9, 33, 15, 30, 21, 27, 27, ?
Answer and working
Answer E
The rule: two series alternate: 9, 15, 21 … rising by 6, and 33, 30, 27 … falling by 3. The missing term is 24.
-
In the English alphabet, which letter is 9th to the right of the 7th letter from the left?
Answer and working
Answer D
The 7th letter from the left is G (position 7). 9 places to the right: position 16, which is P.
-
Pooja walks 2 km towards the south. She turns left and walks 8 km. She turns right and walks 12 km. She turns left and walks 11 km. She turns left and walks 9 km. In which direction is she from the starting point?
Answer and working
Answer D
Taking east and north as positive: she ends 19 km east and 5 km south of the start, which is to the South-east.
-
In a row of 44 students, Kabir is 32nd from the left. What is Kabir’s position from the right?
Answer and working
Answer A
Position from the right = total − position from the left + 1 = 44 − 32 + 1 = 13th.
-
Statement: Z > A ≤ W = C ≥ X
Conclusions: I. X = W II. X < WAnswer and working
Answer C
X and W: the chain gives X ≤ W, so X = W is not definitely true. X and W: the chain gives X ≤ W, so X < W is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Statements:
(1) All clouds are books.
(2) Some books are chairs.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All clouds are chairs.
(II) No chairs are books.Answer and working
Answer D
Conclusion I need not hold: some clouds may lie outside chairs. Conclusion II need not hold: chairs and books may overlap. So: Neither conclusion follows.
-
Which one does not belong with the others?
Answer and working
Answer A
In the others the letters are 3 apart (GJM); in DGK the last gap is 4. The odd one is DGK.
-
Farah walks 2 km towards the south. She turns right and walks 3 km. She turns left and walks 7 km. She turns right and walks 12 km. She turns left and walks 11 km. How far is she from the starting point in a straight line?
Answer and working
Answer B
Taking east and north as positive: she ends 15 km west and 20 km south of the start. Straight-line distance = √(15² + 20²) = 25 km.
-
Statements:
(1) All phones are bags.
(2) Some phones are kites.
(3) No kites are cups.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No cups are phones.
(II) All cups are kites.Answer and working
Answer D
Conclusion I need not hold: cups and phones may overlap. Conclusion II need not hold: some cups may lie outside kites. So: Neither conclusion follows.
-
In the English alphabet, which letter is 6th 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). 6 places to the right: position 25, which is Y.
-
In a certain code, GARDEN is written as 98. How is APPLE written in that code?
Answer and working
Answer D
GARDEN = 98 is twice the sum of the letters’ positions in the alphabet. For APPLE: 1 + 16 + 16 + 12 + 5 doubled = 100.
Part BNumerical Ability
-
The present ages of Asha and her father are in the ratio 2 : 7. After 11 years, the ratio will be 5 : 12. What is Asha’s present age?
Answer and working
Answer E
Ages 2x and 7x. (2x + 11) : (7x + 11) = 5 : 12 gives x = 7. Asha is 2 × 7 = 14 years.
-
Which number replaces the question mark? 8, 18, 38, 78, ?, 318
Answer and working
Answer C
The rule: each term is the previous × 2 + 2. The missing term is 158.
-
Solve both equations and compare x and y.
I. x² − 36 = 0
II. y² − 16y + 60 = 0Answer and working
Answer D
I gives x = −6 or 6. II gives y = 6 or 10. No x is greater than any y, and one value of each is equal: x ≤ y.
-
Simplify: 1⁄4 + 5⁄6 + 2⁄3
Answer and working
Answer C
Over the common denominator 12: the sum is 7⁄4. Adding tops and bottoms separately (8/13) is the trap.
-
234 is what percent of 1,560?
Answer and working
Answer D
234 ÷ 1,560 × 100 = 15%.
-
Simplify: 96 + 3 × 5 − 36 ÷ 9
Answer and working
Answer C
Division and multiplication first: 3 × 5 = 15 and 36 ÷ 9 = 4. Then 96 + 15 − 4 = 107.
-
Solve both equations and compare x and y.
I. x² − 13x + 30 = 0
II. y² + y − 20 = 0Answer and working
Answer E
I gives x = 3 or 10. II gives y = −5 or 4. 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 14 km/h and returns by the same road at 84 km/h. What is its average speed for the whole journey?
Answer and working
Answer B
For equal distances, average speed = 2xy/(x + y) = 2 × 14 × 84 ÷ 98 = 24 km/h. The plain average, 49, ignores that the slower leg takes longer.
-
Solve both equations and compare x and y.
I. x² − 11x + 28 = 0
II. y² + 11y + 18 = 0Answer and working
Answer A
I gives x = 4 or 7. II gives y = −9 or −2. Every x is greater than every y: x > y.
-
A is four times as efficient as B. Together they finish a job in 40 days. How long would A take alone?
Answer and working
Answer C
If B does 1 unit a day, A does 4; together 5 units a day for 40 days = 200 units. A alone: 200 ÷ 4 = 50 days.
-
Two trains 270 m and 210 m long run on parallel tracks in opposite directions at 63 km/h and 45 km/h. How long do they take to cross each other?
Answer and working
Answer E
Relative speed = 63 + 45 = 108 km/h = 30 m/s. Distance = 270 + 210 = 480 m. Time = 480 ÷ 30 = 16 seconds.
-
What is the value of 59² − 11²?
Answer and working
Answer C
a² − b² = (a + b)(a − b) = 70 × 48 = 3,360.
-
An article bought for ₹475 is sold at a profit of 12%. What is its selling price?
Answer and working
Answer C
SP = CP × (100 + profit%)/100 = 475 × 112/100 = ₹532.
-
Which number replaces the question mark? 5, 6, 14, 45, 184, ?
Answer and working
Answer C
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 925.
-
Which number replaces the question mark? 17, 26, 37, 50, 65, 82, ?
Answer and working
Answer C
The rule: the terms are 4², 5², 6² … plus 1. The missing term is 101.
-
A boat covers 40 km downstream in 2 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 40 ÷ 2 = 20 km/h; upstream = 40 ÷ 5 = 8 km/h. Boat = (20 + 8) ÷ 2 = 14 km/h.
-
A sum of money at simple interest amounts to ₹24,050 in 3 years and to ₹29,600 in 6 years. What is the sum?
Answer and working
Answer B
Interest for 3 years = 29,600 − 24,050 = ₹5,550, so ₹1,850 a year. Interest for 3 years = ₹5,550. Sum = 24,050 − 5,550 = ₹18,500.
-
A shopkeeper marks an article 30% above its cost price and allows a discount of 10%. If the article was sold for ₹819, what was its cost price?
Answer and working
Answer C
SP = CP × 1.3 × 0.9 = CP × 1.17. So CP = 819 ÷ 1.17 = ₹700.
-
Which number replaces the question mark? 1, 2, 4, 8, 16, ?
Answer and working
Answer D
The rule: each term is the previous × 2. The missing term is 32.
-
Solve both equations and compare x and y.
I. x² − 6x − 27 = 0
II. y² − 2y − 80 = 0Answer and working
Answer E
I gives x = −3 or 9. II gives y = −8 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.
-
Which number replaces the question mark? 124, 215, 342, 511, 728, ?
Answer and working
Answer B
The rule: the terms are 5³, 6³, 7³ … minus 1. The missing term is 999.
-
A number is first increased by 50% and then decreased by 25%. What is the net change?
Answer and working
Answer A
Net effect = 50 − 25 − (50 × 25)/100 = 12.5%, so 12.5% increase.
-
What is the fourth proportional to 15, 8 and 345?
Answer and working
Answer E
15 : 8 = 345 : x, so x = 8 × 345 ÷ 15 = 184.
-
Two fair dice are thrown together. What is the probability that the sum is at least 8?
Answer and working
Answer C
There are 36 equally likely outcomes and 15 of them qualify. Probability = 5⁄12.
-
What is the average of the first 11 natural numbers?
Answer and working
Answer D
Sum = 11 × 12/2, so the average is (11 + 1)/2 = 6.
-
A scooter runs at 108 km/h. What is its speed in metres per second?
Answer and working
Answer D
Multiply by 5/18: 108 × 5/18 = 30 m/s.
-
Solve both equations and compare x and y.
I. x² − 3x − 54 = 0
II. y² − 16y + 63 = 0Answer and working
Answer E
I gives x = −6 or 9. II gives y = 7 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.
-
What is the value of 51² − 17²?
Answer and working
Answer C
a² − b² = (a + b)(a − b) = 68 × 34 = 2,312.
-
Simplify: 3⁄4 + 7⁄8 + 1⁄3
Answer and working
Answer E
Over the common denominator 24: the sum is 47⁄24. Adding tops and bottoms separately (17/23) is the trap.
-
Solve both equations and compare x and y.
I. x² + 4x − 12 = 0
II. y² − 7y = 0Answer and working
Answer E
I gives x = −6 or 2. II gives y = 0 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.
-
Which number replaces the question mark? 25, 29, 36, 46, 59, 75, ?
Answer and working
Answer B
The rule: the differences grow by 3: 4, 7, 10, 13, 16, 19. The missing term is 94.
-
Solve both equations and compare x and y.
I. x² − 8x + 15 = 0
II. y² − 9y − 10 = 0Answer and working
Answer E
I gives x = 3 or 5. 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.
-
₹30,000 amounts to ₹36,300 in 2 years at compound interest, compounded annually. What is the rate of interest?
Answer and working
Answer E
(1 + R/100)² = 36,300/30,000 = 1.21, so 1 + R/100 = 1.1 and R = 10%. Dividing the interest equally between the years (simple interest) gives a wrong answer.
-
Simplify: 78 + 15 × 3 − 12 ÷ 3
Answer and working
Answer A
Division and multiplication first: 15 × 3 = 45 and 12 ÷ 3 = 4. Then 78 + 45 − 4 = 119.
-
28 litres of a mixture contains milk and water in the ratio 6 : 1. How much water must be added to make the ratio 1 : 4?
Answer and working
Answer D
Milk = 24 l, water = 4 l. For 1 : 4, water must be 24 × 4/1 = 96 l. Add 96 − 4 = 92 litres.
Directions for questions 76 to 80
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 760 1,140 Plant K 380 532 Plant L 200 240 Plant M 400 420 Plant N 200 180 -
What is the ratio of Plant J’s Year 1 figure to Plant M’s Year 2 figure?
Answer and working
Answer E
760 : 420 = 38 : 21.
-
What is the average Year 2 figure of the five?
Answer and working
Answer A
Sum of Year 2 = 2,512. ÷ 5 = 502.4.
-
By what percent did Plant N’s figure change from Year 1 to Year 2?
Answer and working
Answer D
Change = 180 − 200 = −20. On Year 1: −20 ÷ 200 × 100 = 10% decrease.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer A
Growth: Plant J 50%, Plant K 40%, Plant L 20%, Plant M 5%, Plant N −10%. The highest is Plant J.
-
Plant K’s Year 2 figure is what percent of Plant N’s Year 2 figure?
Answer and working
Answer C
532 ÷ 180 × 100 = 295.56%.