- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 7576062
- Series
- A
IBPS RRB Clerk (Office Assistant) Prelims Paper 6
- 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
-
Statements:
(1) All cups are bags.
(2) All lamps are cups.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No lamps are bags.
(II) All bags are lamps.Answer and working
Answer D
Conclusion I need not hold: lamps and bags may overlap. Conclusion II need not hold: some bags may lie outside lamps. So: Neither conclusion follows.
-
Statement: P > R = X = J < F
Conclusions: I. X = P II. P > JAnswer and working
Answer B
X and P: the chain gives X < P, so X = P is not definitely true. P and J: the chain gives P > J, so P > J is definitely true. So: Only conclusion II follows.
-
Statement: Q > D ≥ X ≥ V < L
Conclusions: I. V < D II. V = DAnswer and working
Answer C
V and D: the chain gives V ≤ D, so V < D is not definitely true. V and D: the chain gives V ≤ D, so V = D is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Statements:
(1) All roads are birds.
(2) Some flowers are birds.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some birds are flowers.
(II) Some birds are roads.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.
-
Pointing to a woman in a photograph, Meera said, ‘Her mother is the only daughter of my mother.’ How is the woman related to Meera?
Answer and working
Answer A
The only daughter of my mother is me, so I am the mother. So the woman is Meera’s daughter.
-
Statements:
(1) Some tables are clouds.
(2) Some clouds are watches.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some tables are not clouds.
(II) All tables are clouds.Answer and working
Answer C
Conclusion I need not hold: every one of the tables may be clouds. Conclusion II need not hold: some tables may lie outside clouds. 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) All phones are papers.
(2) No phones are pens.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some pens are not phones.
(II) Some pens are papers.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: pens and papers need not overlap at all. So: Only conclusion I follows.
-
Statements:
(1) Some lamps are watches.
(2) No lamps are cups.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some lamps are not watches.
(II) All lamps are watches.Answer and working
Answer C
Conclusion I need not hold: every one of the lamps may be watches. Conclusion II need not hold: some lamps may lie outside watches. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 12 × 6 − 2 + 20 ÷ 5?
Answer and working
Answer C
Replace the signs: 12 + 6 ÷ 2 × 20 − 5. Division and multiplication first, then addition and subtraction: 67.
-
Priya walks 3 km towards the east. She turns right and walks 5 km. She turns right and walks 5 km. She turns right and walks 9 km. She turns left and walks 13 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 West.
-
Tarun walks 13 km towards the north. He turns right and walks 15 km. He turns right and walks 8 km. He turns right and walks 11 km. He turns left and walks 2 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 4 km east and 3 km north of the start. Straight-line distance = √(4² + 3²) = 5 km.
-
F is the sister of E. E is the husband of M. How is F related to M?
Answer and working
Answer B
Follow the links out from M: E is M’s husband; F is E’s sister. So F is M’s sister-in-law.
-
In the English alphabet, which letter is 5th to the left of the 12th letter from the left?
Answer and working
Answer B
The 12th letter from the left is L (position 12). 5 places to the left: position 7, which is G.
-
In a class, Kabir ranks 12th from the top and 26th from the bottom. How many students are in the class?
Answer and working
Answer C
Kabir is counted in both ranks, so the total is 12 + 26 − 1 = 37.
-
In the English alphabet, which letter is 6th to the left of the 9th letter from the right?
Answer and working
Answer A
The 9th letter from the right is R (position 18). 6 places to the left: position 12, which is L.
-
Pointing to a woman in a photograph, Rohit said, ‘Her father is the only son of my father.’ How is the woman related to Rohit?
Answer and working
Answer A
The only son of my father is me, so I am the father. So the woman is Rohit’s daughter.
-
In a certain code, KNIFE is written as GHKPM. How is MANGO written in that code?
Answer and working
Answer A
From KNIFE → GHKPM: the word is written backwards and each letter moves 2 forward. Applied to MANGO: QIPCO.
-
Statements:
(1) All tables are doors.
(2) All kites are tables.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some kites are not tables.
(II) No kites are tables.Answer and working
Answer D
Conclusion I need not hold: every one of the kites may be tables. Conclusion II need not hold: kites and tables may overlap. So: Neither conclusion follows.
-
Statement: Z > Y > N ≥ V > S
Conclusions: I. Z > S II. S ≥ NAnswer and working
Answer A
Z and S: the chain gives Z > S, so Z > S is definitely true. S and N: the chain gives S < N, so S ≥ N is not definitely true. So: Only conclusion I follows.
-
Sana walks 7 km towards the north. She turns right and walks 10 km. She turns right and walks 10 km. In which direction is she from the starting point?
Answer and working
Answer D
Taking east and north as positive: she ends 10 km east and 3 km south of the start, which is to the South-east.
-
In a certain code, TICKET is written as 68. How is BOOK written in that code?
Answer and working
Answer A
TICKET = 68 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For BOOK: 2 + 15 + 15 + 11 = 43.
-
In a class, Neha ranks 28th from the top and 6th 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 28 + 6 − 1 = 33.
-
Find the wrong number in the series: 9, 16, 25, 36, 49, 70, 81
Answer and working
Answer D
The rule: the terms are 3², 4², 5² …. The term in place of 70 should be 64, so the wrong number is 70.
-
Pointing to a woman in a photograph, Deepak said, ‘Her mother is the only daughter of my mother.’ How is the woman related to Deepak?
Answer and working
Answer A
The only daughter of my mother is my sister, so the child is my sister’s. So the woman is Deepak’s niece.
-
In a certain code, CHALK is written as 70. How is MOTHER written in that code?
Answer and working
Answer E
CHALK = 70 is twice the sum of the letters’ positions in the alphabet. For MOTHER: 13 + 15 + 20 + 8 + 5 + 18 doubled = 158.
-
Imran walks 7 km towards the north. He turns right and walks 2 km. He turns left and walks 5 km. He turns left and walks 7 km. How far is he from the starting point in a straight line?
Answer and working
Answer A
Taking east and north as positive: he ends 5 km west and 12 km north of the start. Straight-line distance = √(5² + 12²) = 13 km.
-
In a certain code, TRAIN is written as UQBHO. How is BRIDGE written in that code?
Answer and working
Answer D
From TRAIN → UQBHO: letters in odd places move 1 forward, letters in even places move 1 back. Applied to BRIDGE: CQJCHD.
-
Statement: Y = J = E = G ≤ F
Conclusions: I. F ≥ Y II. G ≥ YAnswer and working
Answer E
F and Y: the chain gives F ≥ Y, so F ≥ Y is definitely true. G and Y: the chain gives G = Y, so G ≥ Y is definitely true. So: Both conclusions follow.
-
If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 29 × 8 + 8 − 8 ÷ 5?
Answer and working
Answer A
Replace the signs: 29 + 8 − 8 ÷ 8 × 5. Division and multiplication first, then addition and subtraction: 32.
-
In a certain code, HOUSE is written as SLFHV. How is PENCIL written in that code?
Answer and working
Answer E
From HOUSE → SLFHV: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to PENCIL: KVMXRO.
-
Which number replaces the question mark? 2, 6, 18, 54, 162, ?
Answer and working
Answer A
The rule: each term is the previous × 3. The missing term is 486.
-
Statement: Y < V > N ≥ L ≥ D
Conclusions: I. V ≥ D II. N ≤ DAnswer and working
Answer A
V and D: the chain gives V > D, so V ≥ D is definitely true. N and D: the chain gives N ≥ D, so N ≤ D is not definitely true. So: Only conclusion I follows.
-
Statements:
(1) All flowers are coins.
(2) Some boxes are coins.
(3) All fans are boxes.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All boxes are flowers.
(II) Some flowers are not coins.Answer and working
Answer D
Conclusion I need not hold: some boxes may lie outside flowers. Conclusion II need not hold: every one of the flowers may be coins. So: Neither conclusion follows.
-
Statement: M > E ≥ Z = Y = X
Conclusions: I. E > X II. E = XAnswer and working
Answer C
E and X: the chain gives E ≥ X, so E > X is not definitely true. E and X: the chain gives E ≥ X, so E = X is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
Directions for questions 35 to 39
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Bina sits immediately to the left of Esha. Esha sits at one of the two ends. Exactly 2 people sit between Chetan and Arun. Farhan sits second to the left of Chetan.-
What is Bina’s position from the left end?
Answer and working
Answer E
Only one order fits every clue, from the left: Arun, Farhan, Divya, Chetan, Bina, Esha. 5th.
-
How many people sit between Divya and Bina?
Answer and working
Answer E
Only one order fits every clue, from the left: Arun, Farhan, Divya, Chetan, Bina, Esha. Between them: 1.
-
Who sits at the extreme left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Farhan, Divya, Chetan, Bina, Esha. Arun.
-
Who sits immediately to the right of Farhan?
Answer and working
Answer A
Only one order fits every clue, from the left: Arun, Farhan, Divya, Chetan, Bina, Esha. Divya.
-
Who sits at the extreme right end?
Answer and working
Answer C
Only one order fits every clue, from the left: Arun, Farhan, Divya, Chetan, Bina, Esha. Esha.
-
Which one does not belong with the others?
Answer and working
Answer C
25, 36, 144, 324 are perfect squares; 33 is not. The odd one is 33.
Part BNumerical Ability
-
What is the average of the first 31 even numbers?
Answer and working
Answer B
The first 31 even numbers add up to 31 × 32 = 992; the average is 32.
Directions for questions 42 to 46
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 780 1,092 Plant K 240 276 Plant L 420 483 Plant M 340 510 Plant N 240 264 -
What is the average Year 2 figure of the five?
Answer and working
Answer E
Sum of Year 2 = 2,625. ÷ 5 = 525.
-
What is the total for Plant N over the two years?
Answer and working
Answer B
240 + 264 = 504.
-
What is the ratio of Plant N’s Year 1 figure to Plant M’s Year 2 figure?
Answer and working
Answer C
240 : 510 = 8 : 17.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer D
Growth: Plant J 40%, Plant K 15%, Plant L 15%, Plant M 50%, Plant N 10%. The highest is Plant M.
-
By what percent did Plant L’s figure change from Year 1 to Year 2?
Answer and working
Answer D
Change = 483 − 420 = 63. On Year 1: 63 ÷ 420 × 100 = 15% increase.
-
A boat covers 24 km downstream in 2 hours and 12 km upstream in 6 hours. What is the speed of the boat in still water?
Answer and working
Answer C
Downstream speed = 24 ÷ 2 = 12 km/h; upstream = 12 ÷ 6 = 2 km/h. Boat = (12 + 2) ÷ 2 = 7 km/h.
-
Simplify: 50 + 3 × 7 − 63 ÷ 7
Answer and working
Answer D
Division and multiplication first: 3 × 7 = 21 and 63 ÷ 7 = 9. Then 50 + 21 − 9 = 62.
-
Which number replaces the question mark? 6, 7, 16, 51, 208, ?
Answer and working
Answer E
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 1,045.
-
Solve both equations and compare x and y.
I. x² − 7x − 60 = 0
II. y² + 5y = 0Answer and working
Answer E
I gives x = −5 or 12. II gives y = −5 or 0. 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 simple interest on ₹11,000 at 4% per annum for 4 years?
Answer and working
Answer E
SI = P × R × T / 100 = 11,000 × 4 × 4 / 100 = ₹1,760.
-
The population of a town is 43,200. It grows by 5% every year. What will it be after 2 years?
Answer and working
Answer A
43,200 × (1 + 5/100)² = 43,200 × 1.1 = 47,628. Growing 5% on 43,200 twice, not 10% once.
-
Which number replaces the question mark? 4, 8, 16, 32, ?, 128
Answer and working
Answer C
The rule: each term is the previous × 2. The missing term is 64.
-
Which number replaces the question mark? 53, 59, ?, 67, 71, 73
Answer and working
Answer E
The rule: consecutive prime numbers. The missing term is 61.
-
An article bought for ₹1,525 is sold at a profit of 12%. What is its selling price?
Answer and working
Answer C
SP = CP × (100 + profit%)/100 = 1,525 × 112/100 = ₹1,708.
-
What is √576 + √841 − √225?
Answer and working
Answer D
24 + 29 − 15 = 38.
-
Solve both equations and compare x and y.
I. x² + 10x + 21 = 0
II. y² − 14y + 48 = 0Answer and working
Answer C
I gives x = −7 or −3. II gives y = 6 or 8. Every x is smaller than every y: x < y.
-
Three fair coins are tossed. What is the probability of getting all heads or all tails?
Answer and working
Answer E
Of the 8 equally likely outcomes, 2 qualify. Probability = 1⁄4.
-
44 litres of a mixture contains milk and water in the ratio 7 : 4. How much water must be added to make the ratio 2 : 3?
Answer and working
Answer A
Milk = 28 l, water = 16 l. For 2 : 3, water must be 28 × 3/2 = 42 l. Add 42 − 16 = 26 litres.
-
Solve both equations and compare x and y.
I. x² + x − 20 = 0
II. y² + y − 2 = 0Answer and working
Answer E
I gives x = −5 or 4. II gives y = −2 or 1. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Simplify: 1⁄4 + 3⁄10 + 1⁄2
Answer and working
Answer A
Over the common denominator 40: the sum is 21⁄20. Adding tops and bottoms separately (7/22) is the trap.
-
What is √576 + √841 − √729?
Answer and working
Answer A
24 + 29 − 27 = 26.
-
Solve both equations and compare x and y.
I. x² + 6x − 16 = 0
II. y² + 5y − 6 = 0Answer and working
Answer E
I gives x = −8 or 2. II gives y = −6 or 1. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
₹10,000 amounts to ₹14,400 in 2 years at compound interest, compounded annually. What is the rate of interest?
Answer and working
Answer C
(1 + R/100)² = 14,400/10,000 = 1.44, so 1 + R/100 = 1.2 and R = 20%. Dividing the interest equally between the years (simple interest) gives a wrong answer.
-
A number is first increased by 40% and then decreased by 25%. What is the net change?
Answer and working
Answer B
Net effect = 40 − 25 − (40 × 25)/100 = 5%, so 5% increase.
-
A shopkeeper marks an article 20% above its cost price and allows a discount of 20%. If the article was sold for ₹864, what was its cost price?
Answer and working
Answer D
SP = CP × 1.2 × 0.8 = CP × 0.96. So CP = 864 ÷ 0.96 = ₹900.
-
Two trains 280 m and 160 m long run on parallel tracks in opposite directions at 70 km/h and 74 km/h. How long do they take to cross each other?
Answer and working
Answer A
Relative speed = 70 + 74 = 144 km/h = 40 m/s. Distance = 280 + 160 = 440 m. Time = 440 ÷ 40 = 11 seconds.
-
Which number replaces the question mark? 4, 8, ?, 32, 64, 128
Answer and working
Answer E
The rule: each term is the previous × 2. The missing term is 16.
-
Simplify: 3⁄4 + 1⁄2 + 1⁄3
Answer and working
Answer A
Over the common denominator 12: the sum is 19⁄12. Adding tops and bottoms separately (6/12) is the trap.
-
The incomes of P and Q are in the ratio 8 : 7 and their expenditures are in the ratio 13 : 11. If each saves ₹13,500 a month, what is P’s monthly income?
Answer and working
Answer A
Incomes 8x and 7x. (8x − 13,500) : (7x − 13,500) = 13 : 11 gives x = 9,000. P’s income = 8 × 9,000 = ₹72,000.
-
Simplify: 1⁄8 + 1⁄2 + 11⁄12
Answer and working
Answer E
Over the common denominator 24: the sum is 37⁄24. Adding tops and bottoms separately (13/22) is the trap.
-
Solve both equations and compare x and y.
I. x² − 4x − 12 = 0
II. y² − 10y − 11 = 0Answer and working
Answer E
I gives x = −2 or 6. II gives y = −1 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 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.
-
The present ages of Asha and her elder brother are in the ratio 5 : 6. After 12 years, the ratio will be 9 : 10. What is Asha’s present age?
Answer and working
Answer E
Ages 5x and 6x. (5x + 12) : (6x + 12) = 9 : 10 gives x = 3. Asha is 5 × 3 = 15 years.
-
Solve both equations and compare x and y.
I. x² − 11x + 30 = 0
II. y² − 5y + 6 = 0Answer and working
Answer A
I gives x = 5 or 6. II gives y = 2 or 3. Every x is greater than every y: x > y.
-
Which number replaces the question mark? 6, 18, 54, 162, 486, ?
Answer and working
Answer E
The rule: each term is the previous × 3. The missing term is 1,458.
-
Find the wrong number in the series: 17, 19, 23, 28, 31, 37, 41
Answer and working
Answer D
The rule: consecutive prime numbers. The term in place of 28 should be 29, so the wrong number is 28.
-
A and B together can do a job in 30 days. A alone can do it in 45 days. In how many days can B alone do it?
Answer and working
Answer C
B’s one day = 1/30 − 1/45 = 1/90. B alone takes 90 days.
-
Solve both equations and compare x and y.
I. x² − 7x − 18 = 0
II. y² − 9y = 0Answer and working
Answer E
I gives x = −2 or 9. II gives y = 0 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.
-
A number is first increased by 50% and then decreased by 30%. What is the net change?
Answer and working
Answer C
Net effect = 50 − 30 − (50 × 30)/100 = 5%, so 5% increase.