- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 6856705
- Series
- D
IBPS RRB PO (Officer Scale-I) Prelims Paper 5
- Questions
- 80
- Maximum marks
- 80
- Minutes allowed
- 45
Instructions निर्देश
- This booklet has 80 questions in 2 parts: A. Reasoning (40), B. Quantitative Aptitude (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: C ≥ W ≥ J ≥ N > T
Conclusions: I. C ≥ J II. N = WAnswer and working
Answer A
C and J: the chain gives C ≥ J, so C ≥ J is definitely true. N and W: the chain gives N ≤ W, so N = W is not definitely true. So: Only conclusion I follows.
-
In a queue, Kabir is 14th from the front and Priya is 17th from the front. How many people stand between them?
Answer and working
Answer A
Between positions 14 and 17 there are 17 − 14 − 1 = 2 people.
-
Statement: C < Q > J > R > S
Conclusions: I. J > S II. Q ≥ SAnswer and working
Answer E
J and S: the chain gives J > S, so J > S is definitely true. Q and S: the chain gives Q > S, so Q ≥ S is definitely true. So: Both conclusions follow.
-
Pointing to a man in a photograph, Asha said, ‘He is the father of my brother’s only niece.’ How is the man related to Asha?
Answer and working
Answer D
My brother’s only niece is my daughter, so he is my daughter’s father. So the man is Asha’s husband.
-
In the English alphabet, which letter is 4th to the left of the 5th letter from the left?
Answer and working
Answer C
The 5th letter from the left is E (position 5). 4 places to the left: position 1, which is A.
-
In the English alphabet, which letter is 7th to the left of the 16th letter from the left?
Answer and working
Answer A
The 16th letter from the left is P (position 16). 7 places to the left: position 9, which is I.
-
In a certain code, BRICK is written as DPKAM. How is STAR written in that code?
Answer and working
Answer A
From BRICK → DPKAM: letters in odd places move 2 forward, letters in even places move 2 back. Applied to STAR: URCP.
-
A is the husband of Y. Y is the sister of F. How is A related to F?
Answer and working
Answer A
Follow the links out from F: Y is F’s sister; A is Y’s husband. So A is F’s brother-in-law.
-
Meera walks 4 km towards the east. She turns right and walks 9 km. She turns right and walks 8 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.
-
In a certain code, PENCIL is written as MJDOFQ. How is OCEAN written in that code?
Answer and working
Answer E
From PENCIL → MJDOFQ: the word is written backwards and each letter moves 1 forward. Applied to OCEAN: OBFDP.
-
Statements:
(1) All tables are books.
(2) Some tables are not doors.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All books are doors.
(II) No books are doors.Answer and working
Answer D
Conclusion I need not hold: some books may lie outside doors. Conclusion II need not hold: books and doors may overlap. So: Neither conclusion follows.
-
Statements:
(1) Some leaves are rivers.
(2) All rivers are flowers.
(3) Some flowers are roads.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All rivers are leaves.
(II) Some rivers are not leaves.Answer and working
Answer C
Conclusion I need not hold: some rivers may lie outside leaves. Conclusion II need not hold: every one of the rivers may be leaves. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
Z is the mother of X. U is the brother of Z. K is the daughter of U. How is K related to X?
Answer and working
Answer E
Follow the links out from X: Z is X’s mother; U is Z’s brother; K is U’s daughter. So K is X’s cousin.
-
In a certain code, DESK is written as FCUI. How is PLANT written in that code?
Answer and working
Answer A
From DESK → FCUI: letters in odd places move 2 forward, letters in even places move 2 back. Applied to PLANT: RJCLV.
Directions for questions 15 to 19
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Esha and Chetan sit next to each other. Arun sits at one of the two ends. Esha sits third to the right of Arun. Esha sits somewhere to the right of Bina. Bina sits immediately to the right of Divya.-
How many people sit between Farhan and Arun?
Answer and working
Answer A
Only one order fits every clue, from the left: Arun, Divya, Bina, Esha, Chetan, Farhan. Between them: 4.
-
Who sits at the extreme left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Divya, Bina, Esha, Chetan, Farhan. Arun.
-
Which pair sits at the two ends of the row?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Divya, Bina, Esha, Chetan, Farhan. Arun and Farhan.
-
Who sits at the extreme right end?
Answer and working
Answer D
Only one order fits every clue, from the left: Arun, Divya, Bina, Esha, Chetan, Farhan. Farhan.
-
Who sits second to the right of Arun?
Answer and working
Answer A
Only one order fits every clue, from the left: Arun, Divya, Bina, Esha, Chetan, Farhan. Bina.
-
Which one does not belong with the others?
Answer and working
Answer B
99, 36, 117, 63 are multiples of 9; 112 is not. The odd one is 112.
-
In a certain code, MARKET is written as 68. How is GARDEN written in that code?
Answer and working
Answer A
MARKET = 68 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For GARDEN: 7 + 1 + 18 + 4 + 5 + 14 = 49.
-
Statements:
(1) All coins are stones.
(2) Some stones are fans.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All stones are coins.
(II) Some stones are not coins.Answer and working
Answer C
Conclusion I need not hold: some stones may lie outside coins. Conclusion II need not hold: every one of the stones may be coins. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
In a certain code, OCEAN is written as LXVZM. How is RIVER written in that code?
Answer and working
Answer E
From OCEAN → LXVZM: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to RIVER: IREVI.
-
Asha walks 13 km towards the west. She turns right and walks 15 km. She turns left and walks 12 km. She turns left and walks 15 km. She turns left and walks 2 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 23 km west and 0 km north of the start. Distance = √(23² + 0²) = 23 km. 23 km, west.
-
Which number replaces the question mark? 4, 5, 12, 39, 160, ?
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 805.
-
In a row of 28 students, Anjali is 22nd from the left. What is Anjali’s position from the right?
Answer and working
Answer D
Position from the right = total − position from the left + 1 = 28 − 22 + 1 = 7th.
-
Kabir walks 12 km towards the west. He turns right and walks 12 km. He turns right and walks 12 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer C
Taking east and north as positive: he ends 0 km east and 12 km north of the start. Distance = √(0² + 12²) = 12 km. 12 km, north.
-
Statement: T < D < J = M ≤ G
Conclusions: I. J = G II. J < GAnswer and working
Answer C
J and G: the chain gives J ≤ G, so J = G is not definitely true. J and G: the chain gives J ≤ G, so J < G is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
E is the brother of V. P is the wife of E. How is P related to V?
Answer and working
Answer A
Follow the links out from V: E is V’s brother; P is E’s wife. So P is V’s sister-in-law.
-
If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 22 + 10 ÷ 11 − 18 × 6?
Answer and working
Answer D
Replace the signs: 22 − 10 + 11 × 18 ÷ 6. Division and multiplication first, then addition and subtraction: 45.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 7 − 7 ÷ 10 + 18 × 8?
Answer and working
Answer A
Replace the signs: 7 ÷ 7 + 10 × 18 − 8. Division and multiplication first, then addition and subtraction: 173.
-
Statement: W < X < T < C < E
Conclusions: I. W ≤ C II. C ≥ WAnswer and working
Answer E
W and C: the chain gives W < C, so W ≤ C is definitely true. C and W: the chain gives C > W, so C ≥ W is definitely true. So: Both conclusions follow.
-
Statements:
(1) All flowers are leaves.
(2) All leaves are bottles.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some leaves are not bottles.
(II) No bottles are flowers.Answer and working
Answer D
Conclusion I need not hold: every one of the leaves may be bottles. Conclusion II need not hold: bottles and flowers may overlap. So: Neither conclusion follows.
-
Statements:
(1) All fans are bottles.
(2) All chairs are fans.
(3) Some chairs are pens.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some chairs are bottles.
(II) All fans are chairs.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some fans may lie outside chairs. So: Only conclusion I follows.
-
Statements:
(1) Some rings are trees.
(2) No leaves are trees.
(3) Some rivers are leaves.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some trees are rings.
(II) Some trees are not leaves.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: Z > N ≥ K ≥ H ≥ J
Conclusions: I. J < K II. J = KAnswer and working
Answer C
J and K: the chain gives J ≤ K, so J < K is not definitely true. J and K: the chain gives J ≤ K, so J = K is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Statements:
(1) No roads are shirts.
(2) All shirts are coins.
(3) No leaves are coins.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some roads are not shirts.
(II) Some leaves are not roads.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the leaves may be roads. So: Only conclusion I follows.
-
Statement: L < N ≤ R < V < G
Conclusions: I. V ≥ L II. R ≤ GAnswer and working
Answer E
V and L: the chain gives V > L, so V ≥ L is definitely true. R and G: the chain gives R < G, so R ≤ G is definitely true. So: Both conclusions follow.
-
Sana walks 6 km towards the north. She turns left and walks 8 km. She turns left and walks 14 km. In which direction is she from the starting point?
Answer and working
Answer C
Taking east and north as positive: she ends 8 km west and 8 km south of the start, which is to the South-west.
-
Which number replaces the question mark? 9, 38, 16, 34, 23, 30, 30, ?
Answer and working
Answer E
The rule: two series alternate: 9, 16, 23 … rising by 7, and 38, 34, 30 … falling by 4. The missing term is 26.
Part BQuantitative Aptitude
-
A bus goes from Pune to Nashik at 20 km/h and returns by the same road at 30 km/h. What is its average speed for the whole journey?
Answer and working
Answer C
For equal distances, average speed = 2xy/(x + y) = 2 × 20 × 30 ÷ 50 = 24 km/h. The plain average, 25, ignores that the slower leg takes longer.
-
What is √441 + √225 − √169?
Answer and working
Answer C
21 + 15 − 13 = 23.
-
What is the difference between the compound interest and the simple interest on ₹37,500 for 2 years at 8% per annum?
Answer and working
Answer B
For 2 years, CI − SI = P × (R/100)² = 37,500 × (8/100)² = ₹240.
-
A and B together can do a job in 7 days. A alone can do it in 8 days. In how many days can B alone do it?
Answer and working
Answer A
B’s one day = 1/7 − 1/8 = 1/56. B alone takes 56 days.
-
Solve both equations and compare x and y.
I. x² − 9x − 22 = 0
II. y² − 8y − 33 = 0Answer and working
Answer E
I gives x = −2 or 11. II gives y = −3 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.
-
Solve both equations and compare x and y.
I. x² + 5x − 36 = 0
II. y² + 4y − 21 = 0Answer and working
Answer E
I gives x = −9 or 4. II gives y = −7 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.
-
Which number replaces the question mark? 14, 19, 27, 38, 52, 69, ?
Answer and working
Answer E
The rule: the differences grow by 3: 5, 8, 11, 14, 17, 20. The missing term is 89.
-
A scooter runs at 72 km/h. What is its speed in metres per second?
Answer and working
Answer B
Multiply by 5/18: 72 × 5/18 = 20 m/s.
-
Section A has 28 students with an average score of 40; section B has 28 students averaging 62. What is the average score of both sections together?
Answer and working
Answer D
(28 × 40 + 28 × 62) ÷ 56 = 2856 ÷ 56 = 51. The plain mean of 40 and 62 ignores the sizes of the sections.
-
The sum of the present ages of a father and his son is 55 years. 5 years ago, the father was 4 times as old as the son. How old is the son now?
Answer and working
Answer E
Let the son be s. Then (55 − s − 5) = 4(s − 5), so 70 = 5s and s = 14 years.
-
Simplify: 40 + 5 × 8 − 4 ÷ 2
Answer and working
Answer E
Division and multiplication first: 5 × 8 = 40 and 4 ÷ 2 = 2. Then 40 + 40 − 2 = 78.
-
Solve both equations and compare x and y.
I. x² − 49 = 0
II. y² − 12y + 27 = 0Answer and working
Answer E
I gives x = −7 or 7. II gives y = 3 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 98² − 57²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 155 × 41 = 6,355.
-
A sum of money becomes five times itself in 16 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer A
The interest earned is 4 times the principal in 16 years. Rate = 4 × 100 / 16 = 25%.
-
A boat covers 48 km downstream in 3 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water?
Answer and working
Answer D
Downstream speed = 48 ÷ 3 = 16 km/h; upstream = 50 ÷ 5 = 10 km/h. Boat = (16 + 10) ÷ 2 = 13 km/h.
-
An article bought for ₹2,050 is sold at a profit of 20%. What is its selling price?
Answer and working
Answer A
SP = CP × (100 + profit%)/100 = 2,050 × 120/100 = ₹2,460.
-
8 litres of a mixture contains milk and water in the ratio 3 : 1. How much water must be added to make the ratio 3 : 2?
Answer and working
Answer C
Milk = 6 l, water = 2 l. For 3 : 2, water must be 6 × 2/3 = 4 l. Add 4 − 2 = 2 litres.
-
Which number replaces the question mark? 8, 16, 32, ?, 128, 256
Answer and working
Answer E
The rule: each term is the previous × 2. The missing term is 64.
Directions for questions 59 to 63
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 740 1,110 Plant K 340 272 Plant L 640 512 Plant M 220 231 Plant N 360 414 -
What is the ratio of Plant N’s Year 1 figure to Plant L’s Year 2 figure?
Answer and working
Answer A
360 : 512 = 45 : 64.
-
Plant M’s Year 2 figure is what percent of Plant K’s Year 2 figure?
Answer and working
Answer E
231 ÷ 272 × 100 = 84.93%.
-
What is the total for Plant M over the two years?
Answer and working
Answer D
220 + 231 = 451.
-
What is the average Year 2 figure of the five?
Answer and working
Answer C
Sum of Year 2 = 2,539. ÷ 5 = 507.8.
-
By what percent did Plant K’s figure change from Year 1 to Year 2?
Answer and working
Answer E
Change = 272 − 340 = −68. On Year 1: −68 ÷ 340 × 100 = 20% decrease.
-
Simplify: 71 + 13 × 12 − 30 ÷ 3
Answer and working
Answer E
Division and multiplication first: 13 × 12 = 156 and 30 ÷ 3 = 10. Then 71 + 156 − 10 = 217.
-
600 is what percent of 1,600?
Answer and working
Answer C
600 ÷ 1,600 × 100 = 37.5%.
-
Three fair coins are tossed. What is the probability of getting at least two heads?
Answer and working
Answer C
Of the 8 equally likely outcomes, 4 qualify. Probability = 1⁄2.
-
Find the wrong number in the series: 6, 17, 50, 149, 440, 1,337, 4,010
Answer and working
Answer C
The rule: each term is the previous × 3 − 1. The term in place of 440 should be 446, so the wrong number is 440.
-
Find the wrong number in the series: 6, 15, 31, 60, 92, 141, 205
Answer and working
Answer C
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The term in place of 60 should be 56, so the wrong number is 60.
-
A scooter runs at 18 km/h. What is its speed in metres per second?
Answer and working
Answer D
Multiply by 5/18: 18 × 5/18 = 5 m/s.
-
What is the value of 60² − 47²?
Answer and working
Answer A
a² − b² = (a + b)(a − b) = 107 × 13 = 1,391.
-
Solve both equations and compare x and y.
I. x² − 7x + 10 = 0
II. y² − 4y − 12 = 0Answer and working
Answer E
I gives x = 2 or 5. II gives y = −2 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.
-
Solve both equations and compare x and y.
I. x² − 15x + 50 = 0
II. y² − 17y + 60 = 0Answer and working
Answer E
I gives x = 5 or 10. II gives y = 5 or 12. 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 − 108 = 0
II. y² − 18y + 77 = 0Answer and working
Answer E
I gives x = −9 or 12. II gives y = 7 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.
-
₹3,300 is divided among Meera, Arjun and Kavya in the ratio 6 : 1 : 4. What is Arjun’s share?
Answer and working
Answer C
Total parts = 6 + 1 + 4 = 11. Arjun gets 1/11 × 3,300 = ₹300.
-
Which number replaces the question mark? 19, 23, 32, 48, 73, 109, ?
Answer and working
Answer A
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 158.
-
210 is what percent of 240?
Answer and working
Answer C
210 ÷ 240 × 100 = 87.5%.
-
Solve both equations and compare x and y.
I. x² − 9 = 0
II. y² + 12y + 35 = 0Answer and working
Answer A
I gives x = −3 or 3. II gives y = −7 or −5. Every x is greater than every y: x > y.
-
Find the wrong number in the series: 15, 66, 17, 61, 19, 58, 21, 54
Answer and working
Answer B
The rule: two series alternate: 15, 17, 19 … rising by 2, and 66, 62, 58 … falling by 4. The term in place of 61 should be 62, so the wrong number is 61.
-
Simplify: 1⁄5 + 1⁄2 + 1⁄6
Answer and working
Answer E
Over the common denominator 30: the sum is 13⁄15. Adding tops and bottoms separately (4/18) is the trap.
-
By selling a watch for ₹1,024, a man loses 20%. For how much should he sell it to gain 20%?
Answer and working
Answer C
CP = 1,024 × 100/80 = ₹1,280. For a 20% gain: 1,280 × 120/100 = ₹1,536.