- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 7270169
- Series
- A
IBPS RRB Clerk (Office Assistant) Prelims Paper 8
- 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: E > T > Y < B > F
Conclusions: I. T > B II. Y ≤ EAnswer and working
Answer B
T and B: the signs between them point both ways, so no relation can be fixed, so T > B is not definitely true. Y and E: the chain gives Y < E, so Y ≤ E is definitely true. So: Only conclusion II follows.
-
Which number replaces the question mark? 20, 29, 45, 70, 106, 155, ?
Answer and working
Answer B
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The missing term is 219.
-
In a certain code, GREEN is written as 49. How is BRICK written in that code?
Answer and working
Answer A
GREEN = 49 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For BRICK: 2 + 18 + 9 + 3 + 11 = 43.
-
Statements:
(1) All birds are bags.
(2) No pens are bags.
(3) All phones are pens.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All pens are bags.
(II) Some birds are phones.Answer and working
Answer D
Conclusion I need not hold: some pens may lie outside bags. Conclusion II need not hold: birds and phones need not overlap at all. So: Neither conclusion follows.
-
G is the sister of M. M is the father of R. How is G related to R?
Answer and working
Answer E
Follow the links out from R: M is R’s father; G is M’s sister. So G is R’s aunt.
-
If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘×’ means ‘−’, ‘÷’ means ‘×’, what is the value of 20 + 10 − 10 ÷ 3 × 3?
Answer and working
Answer B
Replace the signs: 20 ÷ 10 + 10 × 3 − 3. Division and multiplication first, then addition and subtraction: 29.
-
Manoj walks 4 km towards the east. He turns left and walks 11 km. He turns left and walks 4 km. He turns right and walks 6 km. He turns right and walks 8 km. Which direction is he facing now?
Answer and working
Answer D
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.
-
In a certain code, CHAIR is written as 44. How is WATER written in that code?
Answer and working
Answer A
CHAIR = 44 is the sum of (position + 1) for each letter. For WATER: 24 + 2 + 21 + 6 + 19 = 72.
-
Statement: L ≥ C ≤ K ≤ M < X
Conclusions: I. M ≤ L II. C < XAnswer and working
Answer B
M and L: the signs between them point both ways, so no relation can be fixed, so M ≤ L is not definitely true. C and X: the chain gives C < X, so C < X is definitely true. So: Only conclusion II follows.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 30 − 10 + 6 × 14 ÷ 3?
Answer and working
Answer B
Replace the signs: 30 ÷ 10 × 6 + 14 − 3. Division and multiplication first, then addition and subtraction: 29.
-
N is the father of J. Q is the brother of N. How is Q related to J?
Answer and working
Answer D
Follow the links out from J: N is J’s father; Q is N’s brother. So Q is J’s uncle.
-
In a certain code, CARPET is written as 126. How is MIRROR written in that code?
Answer and working
Answer D
CARPET = 126 is twice the sum of the letters’ positions in the alphabet. For MIRROR: 13 + 9 + 18 + 18 + 15 + 18 doubled = 182.
Directions for questions 13 to 17
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Arun sits third to the left of Farhan. Exactly 4 people sit between Farhan and Bina. Esha sits immediately to the right of Chetan.-
Who sits at the extreme right end?
Answer and working
Answer E
Only one order fits every clue, from the left: Bina, Divya, Arun, Chetan, Esha, Farhan. Farhan.
-
Who sits second to the right of Chetan?
Answer and working
Answer D
Only one order fits every clue, from the left: Bina, Divya, Arun, Chetan, Esha, Farhan. Farhan.
-
Which pair sits at the two ends of the row?
Answer and working
Answer E
Only one order fits every clue, from the left: Bina, Divya, Arun, Chetan, Esha, Farhan. Bina and Farhan.
-
Who sits at the extreme left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Bina, Divya, Arun, Chetan, Esha, Farhan. Bina.
-
What is Chetan’s position from the left end?
Answer and working
Answer C
Only one order fits every clue, from the left: Bina, Divya, Arun, Chetan, Esha, Farhan. 4th.
-
Farah walks 4 km towards the south. She turns left and walks 2 km. She turns left and walks 15 km. She turns left and walks 2 km. How far is she from the starting point in a straight line?
Answer and working
Answer E
Taking east and north as positive: she ends 0 km east and 11 km north of the start. Straight-line distance = √(0² + 11²) = 11 km.
-
Find the wrong number in the series: 16, 58, 21, 57, 26, 52, 31, 49
Answer and working
Answer D
The rule: two series alternate: 16, 21, 26 … rising by 5, and 58, 55, 52 … falling by 3. The term in place of 57 should be 55, so the wrong number is 57.
-
Statements:
(1) All roads are tables.
(2) Some roads are not clocks.
(3) Some bottles are clocks.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some tables are not bottles.
(II) Some roads are bottles.Answer and working
Answer D
Conclusion I need not hold: every one of the tables may be bottles. Conclusion II need not hold: roads and bottles need not overlap at all. So: Neither conclusion follows.
-
V is the father of P. U is the sister of V. How is U related to P?
Answer and working
Answer A
Follow the links out from P: V is P’s father; U is V’s sister. So U is P’s aunt.
-
In a certain code, FISH is written as ILVK. How is BRICK written in that code?
Answer and working
Answer E
From FISH → ILVK: each letter moves 3 places forward. Applied to BRICK: EULFN.
-
In a certain code, MANGO is written as 50. How is LEMON written in that code?
Answer and working
Answer A
MANGO = 50 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For LEMON: 12 + 5 + 13 + 15 + 14 = 59.
-
Statements:
(1) All shirts are books.
(2) No phones are books.
(3) Some phones are not buses.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All books are phones.
(II) No books are phones.Answer and working
Answer B
Conclusion I need not hold: some books may lie outside phones. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statement: G < X ≥ S = F ≤ E
Conclusions: I. S = E II. X ≤ FAnswer and working
Answer D
S and E: the chain gives S ≤ E, so S = E is not definitely true. X and F: the chain gives X ≥ F, so X ≤ F is not definitely true. So: Neither conclusion follows.
-
Rohit walks 9 km towards the east. He turns right and walks 15 km. He turns left and walks 15 km. He turns left and walks 15 km. How far is he from the starting point in a straight line?
Answer and working
Answer E
Taking east and north as positive: he ends 24 km east and 0 km north of the start. Straight-line distance = √(24² + 0²) = 24 km.
-
Statements:
(1) No rings are flowers.
(2) Some fans are rings.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some fans are not flowers.
(II) All flowers are rings.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some flowers may lie outside rings. So: Only conclusion I follows.
-
Statements:
(1) All papers are doors.
(2) No shirts are doors.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some shirts are not doors.
(II) Some shirts are not papers.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 ≥ N = T > S > B
Conclusions: I. N > B II. B ≥ NAnswer and working
Answer A
N and B: the chain gives N > B, so N > B is definitely true. B and N: the chain gives B < N, so B ≥ N is not definitely true. So: Only conclusion I follows.
-
In a queue, Kabir is 20th from the front and Priya is 26th from the front. How many people stand between them?
Answer and working
Answer C
Between positions 20 and 26 there are 26 − 20 − 1 = 5 people.
-
Statements:
(1) Some bottles are lamps.
(2) No lamps are rings.
(3) Some rings are watches.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some rings are lamps.
(II) Some watches are rings.Answer and working
Answer B
Conclusion I need not hold: rings and lamps need not overlap at all. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Rohit walks 9 km towards the west. He turns right and walks 7 km. He turns right and walks 5 km. In which direction is he from the starting point?
Answer and working
Answer C
Taking east and north as positive: he ends 4 km west and 7 km north of the start, which is to the North-west.
-
Statement: X = W = K = C = H
Conclusions: I. H ≥ X II. X = HAnswer and working
Answer E
H and X: the chain gives H = X, so H ≥ X is definitely true. X and H: the chain gives X = H, so X = H is definitely true. So: Both conclusions follow.
-
V is the sister of Y. R is the son of V. Y is the husband of B. How is R related to B?
Answer and working
Answer C
Follow the links out from B: Y is B’s husband; V is Y’s sister; R is V’s son. So R is B’s nephew.
-
Statements:
(1) No doors are stones.
(2) All fans are doors.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All stones are fans.
(II) All doors are stones.Answer and working
Answer D
Conclusion I need not hold: some stones may lie outside fans. Conclusion II need not hold: some doors may lie outside stones. So: Neither conclusion follows.
-
In the English alphabet, which letter is 8th to the left of the 8th letter from the right?
Answer and working
Answer D
The 8th letter from the right is S (position 19). 8 places to the left: position 11, which is K.
-
In the English alphabet, which letter is 5th to the left of the 19th letter from the left?
Answer and working
Answer B
The 19th letter from the left is S (position 19). 5 places to the left: position 14, which is N.
-
Statement: H ≥ Y ≥ D > R < J
Conclusions: I. D = H II. J ≥ DAnswer and working
Answer D
D and H: the chain gives D ≤ H, so D = H is not definitely true. J and D: the signs between them point both ways, so no relation can be fixed, so J ≥ D is not definitely true. So: Neither conclusion follows.
-
In a queue, Kabir is 12th from the front and Sohan is 36th from the front. How many people stand between them?
Answer and working
Answer B
Between positions 12 and 36 there are 36 − 12 − 1 = 23 people.
-
Which one does not belong with the others?
Answer and working
Answer A
13, 73, 47, 71 are prime; 63 = 3 × 21. The odd one is 63.
Part BNumerical Ability
-
Find the wrong number in the series: 6, 20, 62, 188, 566, 1,699, 5,102
Answer and working
Answer C
The rule: each term is the previous × 3 + 2. The term in place of 1,699 should be 1,700, so the wrong number is 1,699.
-
Simplify: 1⁄8 + 4⁄5 + 1⁄2
Answer and working
Answer D
Over the common denominator 40: the sum is 57⁄40. Adding tops and bottoms separately (6/15) is the trap.
-
Find the wrong number in the series: 89, 97, 101, 103, 105, 109, 113
Answer and working
Answer D
The rule: consecutive prime numbers. The term in place of 105 should be 107, so the wrong number is 105.
-
Which number replaces the question mark? 101, 103, 107, 109, 113, 127, ?
Answer and working
Answer C
The rule: consecutive prime numbers. The missing term is 131.
-
A number is first increased by 30% and then decreased by 50%. What is the net change?
Answer and working
Answer A
Net effect = 30 − 50 − (30 × 50)/100 = −35%, so 35% decrease.
-
Solve both equations and compare x and y.
I. x² − x − 42 = 0
II. y² − 4y − 5 = 0Answer and working
Answer E
I gives x = −6 or 7. II gives y = −1 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 + 3x − 40 = 0
II. y² − 2y − 3 = 0Answer and working
Answer E
I gives x = −8 or 5. II gives y = −1 or 3. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
A and B together can do a job in 15 days. A alone can do it in 20 days. In how many days can B alone do it?
Answer and working
Answer A
B’s one day = 1/15 − 1/20 = 1/60. B alone takes 60 days.
-
What is 25% of 2,240?
Answer and working
Answer A
25% of 2,240 = 2,240 × 25/100 = 560.
-
What is the compound interest on ₹52,000 for 3 years at 10% per annum, compounded annually?
Answer and working
Answer D
Amount = 52,000 × (1 + 10/100)3 = ₹69,212. CI = 69,212 − 52,000 = ₹17,212.
-
Two trains 300 m and 240 m long run on parallel tracks in opposite directions at 69 km/h and 39 km/h. How long do they take to cross each other?
Answer and working
Answer B
Relative speed = 69 + 39 = 108 km/h = 30 m/s. Distance = 300 + 240 = 540 m. Time = 540 ÷ 30 = 18 seconds.
-
The sum of the present ages of a father and his son is 78 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 (78 − s − 7) = 3(s − 7), so 92 = 4s and s = 23 years.
-
Simplify: 76 + 9 × 9 − 72 ÷ 6
Answer and working
Answer E
Division and multiplication first: 9 × 9 = 81 and 72 ÷ 6 = 12. Then 76 + 81 − 12 = 145.
-
₹14,820 is divided among Meera, Arjun and Kavya in the ratio 6 : 1 : 5. What is Arjun’s share?
Answer and working
Answer B
Total parts = 6 + 1 + 5 = 12. Arjun gets 1/12 × 14,820 = ₹1,235.
Directions for questions 55 to 59
Study the table and answer the questions that follow.
Books issued by five libraries, in two successive years Library Year 1 Year 2 Library A 340 442 Library B 480 576 Library C 340 391 Library D 300 270 Library E 600 630 -
By what percent did Library B’s figure change from Year 1 to Year 2?
Answer and working
Answer C
Change = 576 − 480 = 96. On Year 1: 96 ÷ 480 × 100 = 20% increase.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer B
Growth: Library A 30%, Library B 20%, Library C 15%, Library D −10%, Library E 5%. The highest is Library A.
-
What is the total for Library D over the two years?
Answer and working
Answer C
300 + 270 = 570.
-
What is the average Year 2 figure of the five?
Answer and working
Answer E
Sum of Year 2 = 2,309. ÷ 5 = 461.8.
-
What is the ratio of Library D’s Year 1 figure to Library C’s Year 2 figure?
Answer and working
Answer B
300 : 391 = 300 : 391.
-
Which number replaces the question mark? 126, 217, 344, 513, ?, 1,001
Answer and working
Answer A
The rule: the terms are 5³, 6³, 7³ … plus 1. The missing term is 730.
-
Solve both equations and compare x and y.
I. x² − x − 90 = 0
II. y² + 11y + 28 = 0Answer and working
Answer E
I gives x = −9 or 10. 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.
-
Solve both equations and compare x and y.
I. x² − 6x + 8 = 0
II. y² − 7y + 10 = 0Answer and working
Answer E
I gives x = 2 or 4. II gives y = 2 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.
-
Which number replaces the question mark? 16, 19, 23, 28, ?, 41
Answer and working
Answer D
The rule: the differences grow by 1: 3, 4, 5, 6, 7, 8. The missing term is 34.
-
Solve both equations and compare x and y.
I. x² + 2x − 8 = 0
II. y² + 10y + 24 = 0Answer and working
Answer B
I gives x = −4 or 2. II gives y = −6 or −4. No x is smaller than any y, and one value of each is equal: x ≥ y.
-
The average weight of 12 people goes up by 2 kg when a new person takes the place of one who weighs 52 kg. What does the new person weigh?
Answer and working
Answer C
The total rises by 12 × 2 = 24 kg, so the new person weighs 52 + 24 = 76 kg.
-
A sum of money at simple interest amounts to ₹12,700 in 3 years and to ₹14,500 in 5 years. What is the sum?
Answer and working
Answer E
Interest for 2 years = 14,500 − 12,700 = ₹1,800, so ₹900 a year. Interest for 3 years = ₹2,700. Sum = 12,700 − 2,700 = ₹10,000.
-
Simplify: 35 + 14 × 6 − 18 ÷ 6
Answer and working
Answer B
Division and multiplication first: 14 × 6 = 84 and 18 ÷ 6 = 3. Then 35 + 84 − 3 = 116.
-
Two successive discounts of 10% and 10% are equal to a single discount of:
Answer and working
Answer D
Single discount = 10 + 10 − (10 × 10)/100 = 19%. The second discount is taken on the already reduced price, so the two do not simply add.
-
Solve both equations and compare x and y.
I. x² − 10x − 11 = 0
II. y² − y − 90 = 0Answer and working
Answer E
I gives x = −1 or 11. II gives y = −9 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.
-
A train 180 m long crosses a platform 200 m long in 19 seconds. What is the speed of the train?
Answer and working
Answer E
It must cover its own length and the platform: 180 + 200 = 380 m in 19 s, so 20 m/s = 20 × 18/5 = 72 km/h.
-
40 litres of a mixture contains milk and water in the ratio 5 : 3. How much water must be added to make the ratio 1 : 2?
Answer and working
Answer C
Milk = 25 l, water = 15 l. For 1 : 2, water must be 25 × 2/1 = 50 l. Add 50 − 15 = 35 litres.
-
1,620 is what percent of 2,160?
Answer and working
Answer C
1,620 ÷ 2,160 × 100 = 75%.
-
A shopkeeper marks an article 40% above its cost price and allows a discount of 10%. If the article was sold for ₹3,339, what was its cost price?
Answer and working
Answer C
SP = CP × 1.4 × 0.9 = CP × 1.26. So CP = 3,339 ÷ 1.26 = ₹2,650.
-
Which number replaces the question mark? 2, 9, 28, 65, 126, ?
Answer and working
Answer A
The rule: the terms are 1³, 2³, 3³ … plus 1. The missing term is 217.
-
Solve both equations and compare x and y.
I. x² + 4x − 45 = 0
II. y² − 3y − 40 = 0Answer and working
Answer E
I gives x = −9 or 5. II gives y = −5 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.
-
A boat covers 105 km downstream in 5 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water?
Answer and working
Answer A
Downstream speed = 105 ÷ 5 = 21 km/h; upstream = 33 ÷ 3 = 11 km/h. Boat = (21 + 11) ÷ 2 = 16 km/h.
-
What is √289 + √484 − √900?
Answer and working
Answer C
17 + 22 − 30 = 9.
-
Simplify: 16 + 8 × 10 − 90 ÷ 9
Answer and working
Answer C
Division and multiplication first: 8 × 10 = 80 and 90 ÷ 9 = 10. Then 16 + 80 − 10 = 86.
-
Simplify: 82 + 7 × 4 − 40 ÷ 5
Answer and working
Answer C
Division and multiplication first: 7 × 4 = 28 and 40 ÷ 5 = 8. Then 82 + 28 − 8 = 102.
-
A bag holds 7 red, 6 blue and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both are red?
Answer and working
Answer B
Ways to pick 2 red: 21. Ways to pick any 2: 120. Probability = 7⁄40.