- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 5558498
- Series
- C
IBPS RRB Clerk (Office Assistant) Prelims Paper 1
- 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
-
Lata walks 15 km towards the east. She turns right and walks 2 km. She turns right and walks 2 km. Which direction is she facing now?
Answer and working
Answer E
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs West.
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K is the brother of D. D is the wife of Y. How is K related to Y?
Answer and working
Answer E
Follow the links out from Y: D is Y’s wife; K is D’s brother. So K is Y’s brother-in-law.
-
Statement: A < W ≥ P ≥ J < C
Conclusions: I. P > C II. W ≥ JAnswer and working
Answer B
P and C: the signs between them point both ways, so no relation can be fixed, so P > C is not definitely true. W and J: the chain gives W ≥ J, so W ≥ J is definitely true. So: Only conclusion II follows.
-
Statements:
(1) Some leaves are not lamps.
(2) No lamps are stones.
(3) All trees are stones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some trees are stones.
(II) Some stones are leaves.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: stones and leaves need not overlap at all. So: Only conclusion I follows.
-
In a certain code, CARPET is written as XZIKVG. How is SHIP written in that code?
Answer and working
Answer B
From CARPET → XZIKVG: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to SHIP: HSRK.
-
In a row of 40 students, Neha is 17th from the left. What is Neha’s position from the right?
Answer and working
Answer A
Position from the right = total − position from the left + 1 = 40 − 17 + 1 = 24th.
-
Which number replaces the question mark? 9, 27, 81, 243, 729, ?
Answer and working
Answer A
The rule: each term is the previous × 3. The missing term is 2,187.
-
Q is the brother of H. H is the mother of L. How is Q related to L?
Answer and working
Answer A
Follow the links out from L: H is L’s mother; Q is H’s brother. So Q is L’s uncle.
-
Priya walks 11 km towards the west. She turns right and walks 9 km. She turns left and walks 2 km. She turns left and walks 9 km. She turns left and walks 2 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 11 km west and 0 km north of the start. Straight-line distance = √(11² + 0²) = 11 km.
Directions for questions 10 to 14
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Chetan sits somewhere to the right of Arun. Arun sits at one of the two ends. Exactly one person sits between Arun and Divya. Chetan sits immediately to the right of Bina. Exactly 2 people sit between Esha and Bina.-
Who sits immediately to the right of Farhan?
Answer and working
Answer E
Only one order fits every clue, from the left: Arun, Esha, Divya, Farhan, Bina, Chetan. Bina.
-
Who sits at the extreme right end?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Esha, Divya, Farhan, Bina, Chetan. Chetan.
-
Who sits at the extreme left end?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Esha, Divya, Farhan, Bina, Chetan. Arun.
-
How many people sit between Esha and Arun?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Esha, Divya, Farhan, Bina, Chetan. Between them: None.
-
Which pair sits at the two ends of the row?
Answer and working
Answer E
Only one order fits every clue, from the left: Arun, Esha, Divya, Farhan, Bina, Chetan. Arun and Chetan.
-
L is the daughter of H. G is the son of L. How is G related to H?
Answer and working
Answer E
Follow the links out from H: L is H’s daughter; G is L’s son. So G is H’s grandson.
-
In a certain code, CANDLE is written as XZMWOV. How is PLANT written in that code?
Answer and working
Answer D
From CANDLE → XZMWOV: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to PLANT: KOZMG.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 54 − 9 × 12 + 5 ÷ 10?
Answer and working
Answer B
Replace the signs: 54 ÷ 9 + 12 × 5 − 10. Division and multiplication first, then addition and subtraction: 56.
-
In a certain code, SILVER is written as RHKUDQ. How is HOUSE written in that code?
Answer and working
Answer E
From SILVER → RHKUDQ: each letter moves 1 place back. Applied to HOUSE: GNTRD.
-
Statement: P ≤ G ≤ A > M < H
Conclusions: I. P = A II. P < AAnswer and working
Answer C
P and A: the chain gives P ≤ A, so P = A is not definitely true. P and A: the chain gives P ≤ A, so P < A 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 rings.
(2) No boxes are clouds.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some clouds are rings.
(II) Some rings are boxes.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: rings and boxes need not overlap at all. So: Only conclusion I follows.
-
Which number replaces the question mark? 6, 7, 16, 51, 208, ?
Answer and working
Answer D
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 1,045.
-
Statements:
(1) No papers are cups.
(2) All trees are papers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some trees are papers.
(II) All papers are cups.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some papers may lie outside cups. So: Only conclusion I follows.
-
Rekha walks 12 km towards the west. She turns left and walks 15 km. She turns left and walks 6 km. She turns left and walks 15 km. How far is she from the starting point in a straight line?
Answer and working
Answer A
Taking east and north as positive: she ends 6 km west and 0 km north of the start. Straight-line distance = √(6² + 0²) = 6 km.
-
In a certain code, BRIDGE is written as YIRWTV. How is CANDLE written in that code?
Answer and working
Answer E
From BRIDGE → YIRWTV: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to CANDLE: XZMWOV.
-
In a queue, Meena is 10th from the front and Dev is 40th from the front. How many people stand between them?
Answer and working
Answer A
Between positions 10 and 40 there are 40 − 10 − 1 = 29 people.
-
Which one does not belong with the others?
Answer and working
Answer B
130, 143, 169, 156 are multiples of 13; 170 is not. The odd one is 170.
-
Statements:
(1) No stones are clouds.
(2) All watches are clouds.
(3) Some watches are bells.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some bells are not clouds.
(II) Some stones are clouds.Answer and working
Answer D
Conclusion I need not hold: every one of the bells may be clouds. Conclusion II need not hold: stones and clouds need not overlap at all. So: Neither conclusion follows.
-
In a certain code, FISH is written as HGUF. How is MOTHER written in that code?
Answer and working
Answer D
From FISH → HGUF: letters in odd places move 2 forward, letters in even places move 2 back. Applied to MOTHER: OMVFGP.
-
Statement: U > X < T < W > K
Conclusions: I. X ≤ W II. U > KAnswer and working
Answer A
X and W: the chain gives X < W, so X ≤ W is definitely true. U and K: the signs between them point both ways, so no relation can be fixed, so U > K is not definitely true. So: Only conclusion I follows.
-
Q is the mother of E. U is the mother of Q. How is U related to E?
Answer and working
Answer D
Follow the links out from E: Q is E’s mother; U is Q’s mother. So U is E’s grandmother.
-
In the English alphabet, which letter is 4th to the left of the 7th letter from the left?
Answer and working
Answer C
The 7th letter from the left is G (position 7). 4 places to the left: position 3, which is C.
-
In the English alphabet, which letter is 7th to the right of the 16th letter from the left?
Answer and working
Answer C
The 16th letter from the left is P (position 16). 7 places to the right: position 23, which is W.
-
Statement: G > N < Y < B = A
Conclusions: I. Y > G II. Y < AAnswer and working
Answer B
Y and G: the signs between them point both ways, so no relation can be fixed, so Y > G is not definitely true. Y and A: the chain gives Y < A, so Y < A is definitely true. So: Only conclusion II follows.
-
If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 12 × 6 − 6 ÷ 14 + 9?
Answer and working
Answer D
Replace the signs: 12 ÷ 6 + 6 × 14 − 9. Division and multiplication first, then addition and subtraction: 77.
-
Statements:
(1) Some leaves are not shirts.
(2) No shirts are tables.
(3) All cups are tables.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No leaves are cups.
(II) No tables are shirts.Answer and working
Answer B
Conclusion I need not hold: leaves and cups may overlap. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statements:
(1) Some bells are kites.
(2) All doors are kites.
(3) All doors are rivers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No doors are rivers.
(II) Some rivers are doors.Answer and working
Answer B
Conclusion I need not hold: doors and rivers may overlap. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statement: G > N > F ≥ J ≥ Q
Conclusions: I. N > J II. Q < NAnswer and working
Answer E
N and J: the chain gives N > J, so N > J is definitely true. Q and N: the chain gives Q < N, so Q < N is definitely true. So: Both conclusions follow.
-
Statement: P < N < U < X < Q
Conclusions: I. Q > P II. N < XAnswer and working
Answer E
Q and P: the chain gives Q > P, so Q > P is definitely true. N and X: the chain gives N < X, so N < X is definitely true. So: Both conclusions follow.
-
Statements:
(1) Some lamps are rivers.
(2) Some birds are not rivers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All birds are lamps.
(II) Some rivers are not birds.Answer and working
Answer D
Conclusion I need not hold: some birds may lie outside lamps. Conclusion II need not hold: every one of the rivers may be birds. So: Neither conclusion follows.
-
Harish walks 12 km towards the north. He turns right and walks 13 km. He turns left and walks 7 km. He turns left and walks 10 km. He turns left and walks 15 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 3 km east and 4 km north of the start. Distance = √(3² + 4²) = 5 km. 5 km, north-east.
Part BNumerical Ability
-
A bus goes from Pune to Nashik at 40 km/h and returns by the same road at 88 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 × 40 × 88 ÷ 128 = 55 km/h. The plain average, 64, ignores that the slower leg takes longer.
Directions for questions 42 to 46
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 260 208 Shop Q 320 352 Shop R 780 1,014 Shop S 720 756 Shop T 400 420 -
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer D
Growth: Shop P −20%, Shop Q 10%, Shop R 30%, Shop S 5%, Shop T 5%. The highest is Shop R.
-
Shop R’s Year 2 figure is what percent of Shop Q’s Year 2 figure?
Answer and working
Answer A
1,014 ÷ 352 × 100 = 288.07%.
-
What is the ratio of Shop R’s Year 1 figure to Shop S’s Year 2 figure?
Answer and working
Answer A
780 : 756 = 65 : 63.
-
What is the total for Shop Q over the two years?
Answer and working
Answer B
320 + 352 = 672.
-
What is the average Year 2 figure of the five?
Answer and working
Answer A
Sum of Year 2 = 2,750. ÷ 5 = 550.
-
Solve both equations and compare x and y.
I. x² − 6x − 40 = 0
II. y² − 10y + 9 = 0Answer and working
Answer E
I gives x = −4 or 10. II gives y = 1 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.
-
Which number replaces the question mark? 6, 7, 16, 51, ?, 1,045
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 208.
-
2,040 is what percent of 2,400?
Answer and working
Answer B
2,040 ÷ 2,400 × 100 = 85%.
-
Section A has 30 students with an average score of 76; section B has 32 students averaging 45. What is the average score of both sections together?
Answer and working
Answer D
(30 × 76 + 32 × 45) ÷ 62 = 3720 ÷ 62 = 60. The plain mean of 76 and 45 ignores the sizes of the sections.
-
A boat covers 60 km downstream in 4 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 60 ÷ 4 = 15 km/h; upstream = 25 ÷ 5 = 5 km/h. Boat = (15 + 5) ÷ 2 = 10 km/h.
-
By selling a watch for ₹629, a man loses 15%. For how much should he sell it to gain 5%?
Answer and working
Answer E
CP = 629 × 100/85 = ₹740. For a 5% gain: 740 × 105/100 = ₹777.
-
Find the wrong number in the series: 16, 25, 41, 66, 102, 154, 215
Answer and working
Answer D
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The term in place of 154 should be 151, so the wrong number is 154.
-
A is four times as efficient as B. Together they finish a job in 16 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 16 days = 80 units. A alone: 80 ÷ 4 = 20 days.
-
A bus goes from Pune to Nashik at 20 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 B
For equal distances, average speed = 2xy/(x + y) = 2 × 20 × 80 ÷ 100 = 32 km/h. The plain average, 50, ignores that the slower leg takes longer.
-
Which number replaces the question mark? 5, 17, 53, 161, 485, 1,457, ?
Answer and working
Answer C
The rule: each term is the previous × 3 + 2. The missing term is 4,373.
-
Which number replaces the question mark? 1, 2, 4, 8, 16, ?
Answer and working
Answer C
The rule: each term is the previous × 2. The missing term is 32.
-
What is the compound interest on ₹15,425 for 2 years at 20% per annum, compounded annually?
Answer and working
Answer A
Amount = 15,425 × (1 + 20/100)2 = ₹22,212. CI = 22,212 − 15,425 = ₹6,787.
-
Solve both equations and compare x and y.
I. x² − 4x + 3 = 0
II. y² + 3y − 28 = 0Answer and working
Answer E
I gives x = 1 or 3. II gives y = −7 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.
-
In what ratio must rice at ₹57/kg be mixed with rice at ₹72/kg so that the mixture is worth ₹60/kg?
Answer and working
Answer D
By alligation: cheaper : dearer = (72 − 60) : (60 − 57) = 12 : 3 = 4 : 1.
-
What is the value of 67² − 19²?
Answer and working
Answer A
a² − b² = (a + b)(a − b) = 86 × 48 = 4,128.
-
The sum of the present ages of a father and his son is 66 years. 7 years ago, the father was 3 times as old as the son. How old is the son now?
Answer and working
Answer A
Let the son be s. Then (66 − s − 7) = 3(s − 7), so 80 = 4s and s = 20 years.
-
Solve both equations and compare x and y.
I. x² + 7x − 8 = 0
II. y² − 14y + 24 = 0Answer and working
Answer C
I gives x = −8 or 1. II gives y = 2 or 12. Every x is smaller than every y: x < y.
-
Simplify: 98 + 6 × 2 − 40 ÷ 4
Answer and working
Answer B
Division and multiplication first: 6 × 2 = 12 and 40 ÷ 4 = 10. Then 98 + 12 − 10 = 100.
-
What is the simple interest on ₹46,500 at 4% per annum for 2 years?
Answer and working
Answer E
SI = P × R × T / 100 = 46,500 × 4 × 2 / 100 = ₹3,720.
-
Three fair coins are tossed. What is the probability of getting at most one head?
Answer and working
Answer B
Of the 8 equally likely outcomes, 4 qualify. Probability = 1⁄2.
-
Find the wrong number in the series: 20, 24, 33, 49, 74, 101, 159
Answer and working
Answer B
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The term in place of 101 should be 110, so the wrong number is 101.
-
What is √256 + √324 − √196?
Answer and working
Answer E
16 + 18 − 14 = 20.
-
A number is first increased by 10% and then decreased by 25%. What is the net change?
Answer and working
Answer B
Net effect = 10 − 25 − (10 × 25)/100 = −17.5%, so 17.5% decrease.
-
What is the fourth proportional to 5, 11 and 110?
Answer and working
Answer C
5 : 11 = 110 : x, so x = 11 × 110 ÷ 5 = 242.
-
Solve both equations and compare x and y.
I. x² − 5x + 4 = 0
II. y² − 6y = 0Answer and working
Answer E
I gives x = 1 or 4. 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.
-
Simplify: 54 + 12 × 3 − 64 ÷ 8
Answer and working
Answer E
Division and multiplication first: 12 × 3 = 36 and 64 ÷ 8 = 8. Then 54 + 36 − 8 = 82.
-
A number is first increased by 50% and then decreased by 50%. What is the net change?
Answer and working
Answer A
Net effect = 50 − 50 − (50 × 50)/100 = −25%, so 25% decrease.
-
Solve both equations and compare x and y.
I. x² − 22x + 120 = 0
II. y² + 17y + 72 = 0Answer and working
Answer A
I gives x = 10 or 12. II gives y = −9 or −8. Every x is greater than every y: x > y.
-
Solve both equations and compare x and y.
I. x² + 2x − 48 = 0
II. y² − 21y + 110 = 0Answer and working
Answer C
I gives x = −8 or 6. II gives y = 10 or 11. Every x is smaller than every y: x < y.
-
Find the wrong number in the series: 4, 14, 35, 134, 404, 1,214, 3,644
Answer and working
Answer C
The rule: each term is the previous × 3 + 2. The term in place of 35 should be 44, so the wrong number is 35.
-
An article bought for ₹1,500 is sold at a profit of 25%. What is its selling price?
Answer and working
Answer D
SP = CP × (100 + profit%)/100 = 1,500 × 125/100 = ₹1,875.
-
Simplify: 4⁄5 + 1⁄2 + 1⁄3
Answer and working
Answer E
Over the common denominator 60: the sum is 49⁄30. Adding tops and bottoms separately (11/20) is the trap.
-
Solve both equations and compare x and y.
I. x² − 22x + 120 = 0
II. y² − 6y − 16 = 0Answer and working
Answer A
I gives x = 10 or 12. II gives y = −2 or 8. Every x is greater than every y: x > y.
-
What is √784 + √289 − √144?
Answer and working
Answer D
28 + 17 − 12 = 33.