- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 9708190
- Series
- C
IBPS RRB PO (Officer Scale-I) Prelims Paper 7
- 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: L ≤ G = S > R < Y
Conclusions: I. S > L II. S = LAnswer and working
Answer C
S and L: the chain gives S ≥ L, so S > L is not definitely true. S and L: the chain gives S ≥ L, so S = L is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
In the English alphabet, which letter is 4th to the right of the 12th letter from the right?
Answer and working
Answer A
The 12th letter from the right is O (position 15). 4 places to the right: position 19, which is S.
-
Find the wrong number in the series: 43, 47, 53, 59, 55, 67, 71
Answer and working
Answer B
The rule: consecutive prime numbers. The term in place of 55 should be 61, so the wrong number is 55.
Directions for questions 4 to 8
Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Exactly 2 people sit between Arun and Divya. Exactly one person sits between Divya and Chetan. Esha sits third to the left of Chetan.-
What is Bina’s position from the left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Esha, Divya, Bina, Chetan, Arun. 3rd.
-
Who sits at the extreme right end?
Answer and working
Answer B
Only one order fits every clue, from the left: Esha, Divya, Bina, Chetan, Arun. Arun.
-
How many people sit between Arun and Divya?
Answer and working
Answer E
Only one order fits every clue, from the left: Esha, Divya, Bina, Chetan, Arun. Between them: 2.
-
Who sits at the extreme left end?
Answer and working
Answer A
Only one order fits every clue, from the left: Esha, Divya, Bina, Chetan, Arun. Esha.
-
Which pair sits at the two ends of the row?
Answer and working
Answer E
Only one order fits every clue, from the left: Esha, Divya, Bina, Chetan, Arun. Esha and Arun.
-
Statements:
(1) Some roads are not cups.
(2) No doors are cups.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some doors are not cups.
(II) All doors are roads.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some doors may lie outside roads. So: Only conclusion I follows.
-
If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 56 + 9 × 6 ÷ 4 − 4?
Answer and working
Answer A
Replace the signs: 56 × 9 ÷ 6 − 4 + 4. Division and multiplication first, then addition and subtraction: 84.
-
Statement: A ≥ Q ≤ U < G < T
Conclusions: I. Q > T II. Q ≤ TAnswer and working
Answer B
Q and T: the chain gives Q < T, so Q > T is not definitely true. Q and T: the chain gives Q < T, so Q ≤ T is definitely true. So: Only conclusion II follows.
-
Statements:
(1) Some lamps are planes.
(2) No lamps are flowers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No flowers are lamps.
(II) Some flowers are not lamps.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.
-
Statements:
(1) All shirts are doors.
(2) No doors are chairs.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some shirts are not chairs.
(II) No doors are shirts.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: doors and shirts may overlap. So: Only conclusion I follows.
-
In a certain code, ROAD is written as TMCB. How is EAGLE written in that code?
Answer and working
Answer E
From ROAD → TMCB: letters in odd places move 2 forward, letters in even places move 2 back. Applied to EAGLE: GYIJG.
-
In a certain code, PLANET is written as KOZMVG. How is BRIDGE written in that code?
Answer and working
Answer D
From PLANET → KOZMVG: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to BRIDGE: YIRWTV.
-
If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 21 − 6 × 3 + 9 ÷ 9?
Answer and working
Answer B
Replace the signs: 21 + 6 ÷ 3 × 9 − 9. Division and multiplication first, then addition and subtraction: 30.
-
Which one does not belong with the others?
Answer and working
Answer D
132, 44, 121, 110 are multiples of 11; 145 is not. The odd one is 145.
-
In a queue, Kabir is 17th from the front and Priya is 26th from the front. How many people stand between them?
Answer and working
Answer C
Between positions 17 and 26 there are 26 − 17 − 1 = 8 people.
-
Statement: K < E = U > Q ≥ M
Conclusions: I. M < U II. K ≤ MAnswer and working
Answer A
M and U: the chain gives M < U, so M < U is definitely true. K and M: the signs between them point both ways, so no relation can be fixed, so K ≤ M is not definitely true. So: Only conclusion I follows.
-
Statement: L < P ≤ U ≤ G = J
Conclusions: I. P < J II. L < UAnswer and working
Answer B
P and J: the chain gives P ≤ J, so P < J is not definitely true. L and U: the chain gives L < U, so L < U is definitely true. So: Only conclusion II follows.
-
In the English alphabet, which letter is 4th to the right of the 17th letter from the right?
Answer and working
Answer E
The 17th letter from the right is J (position 10). 4 places to the right: position 14, which is N.
-
Statement: S > B ≤ Z < T ≤ A
Conclusions: I. A > B II. B < AAnswer and working
Answer E
A and B: the chain gives A > B, so A > B is definitely true. B and A: the chain gives B < A, so B < A is definitely true. So: Both conclusions follow.
-
Vijay walks 10 km towards the west. He turns right and walks 10 km. He turns right and walks 6 km. He turns left and walks 3 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 North.
-
Statements:
(1) Some boxes are clocks.
(2) All boxes are papers.
(3) All papers are leaves.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All leaves are clocks.
(II) Some leaves are not clocks.Answer and working
Answer C
Conclusion I need not hold: some leaves may lie outside clocks. Conclusion II need not hold: every one of the leaves may be clocks. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
Priya walks 8 km towards the east. She turns right and walks 7 km. She turns left and walks 11 km. She turns left and walks 3 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 4 km south of the start, which is to the South-east.
-
Statements:
(1) No rivers are books.
(2) Some phones are rivers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some rivers are not phones.
(II) Some books are phones.Answer and working
Answer D
Conclusion I need not hold: every one of the rivers may be phones. Conclusion II need not hold: books and phones need not overlap at all. So: Neither conclusion follows.
-
Statements:
(1) Some kites are roads.
(2) No rings are kites.
(3) No rings are phones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some kites are not roads.
(II) Some kites are phones.Answer and working
Answer D
Conclusion I need not hold: every one of the kites may be roads. Conclusion II need not hold: kites and phones need not overlap at all. So: Neither conclusion follows.
-
In a class, Anjali ranks 11th from the top and 12th from the bottom. How many students are in the class?
Answer and working
Answer B
Anjali is counted in both ranks, so the total is 11 + 12 − 1 = 22.
-
Which number replaces the question mark? 5, 6, 14, 45, 184, ?
Answer and working
Answer B
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 925.
-
Pointing to a woman in a photograph, Lata said, ‘Her mother is the only daughter of my mother.’ How is the woman related to Lata?
Answer and working
Answer C
The only daughter of my mother is me, so I am the mother. So the woman is Lata’s daughter.
-
In a certain code, LADDER is written as OZWWVI. How is BRIDGE written in that code?
Answer and working
Answer A
From LADDER → OZWWVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to BRIDGE: YIRWTV.
-
V is the mother of H. H is the wife of A. How is V related to A?
Answer and working
Answer B
Follow the links out from A: H is A’s wife; V is H’s mother. So V is A’s mother-in-law.
-
Neha walks 8 km towards the west. She turns left and walks 11 km. She turns left and walks 14 km. She turns left and walks 2 km. She turns right and walks 12 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 East.
-
Statement: T ≥ U = L > P ≤ X
Conclusions: I. T ≥ L II. P ≥ UAnswer and working
Answer A
T and L: the chain gives T ≥ L, so T ≥ L is definitely true. P and U: the chain gives P < U, so P ≥ U is not definitely true. So: Only conclusion I follows.
-
Statements:
(1) Some lamps are roads.
(2) Some lamps are not bags.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some roads are lamps.
(II) No roads are bags.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: roads and bags may overlap. So: Only conclusion I follows.
-
Rohit walks 14 km towards the north. He turns right and walks 15 km. He turns right and walks 14 km. He turns right and walks 13 km. How far is he from the starting point in a straight line?
Answer and working
Answer D
Taking east and north as positive: he ends 2 km east and 0 km north of the start. Straight-line distance = √(2² + 0²) = 2 km.
-
Pointing to a man in a photograph, Kavita said, ‘His father is the only son of my father.’ How is the man related to Kavita?
Answer and working
Answer B
The only son of my father is my brother, so the child is my brother’s. So the man is Kavita’s nephew.
-
In a certain code, TABLE is written as VYDJG. How is MOTHER written in that code?
Answer and working
Answer C
From TABLE → VYDJG: letters in odd places move 2 forward, letters in even places move 2 back. Applied to MOTHER: OMVFGP.
-
L is the wife of B. W is the mother of L. How is W related to B?
Answer and working
Answer B
Follow the links out from B: L is B’s wife; W is L’s mother. So W is B’s mother-in-law.
-
In a certain code, SCHOOL is written as VFKRRO. How is BASKET written in that code?
Answer and working
Answer A
From SCHOOL → VFKRRO: each letter moves 3 places forward. Applied to BASKET: EDVNHW.
Part BQuantitative Aptitude
-
Solve both equations and compare x and y.
I. x² + 2x − 8 = 0
II. y² − 3y = 0Answer and working
Answer E
I gives x = −4 or 2. II gives y = 0 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.
-
Solve both equations and compare x and y.
I. x² + 4x − 12 = 0
II. y² + 6y − 16 = 0Answer and working
Answer E
I gives x = −6 or 2. II gives y = −8 or 2. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
Find the wrong number in the series: 7, 69, 13, 66, 19, 59, 25, 54
Answer and working
Answer C
The rule: two series alternate: 7, 13, 19 … rising by 6, and 69, 64, 59 … falling by 5. The term in place of 66 should be 64, so the wrong number is 66.
-
A bus goes from Pune to Nashik at 12 km/h and returns by the same road at 24 km/h. What is its average speed for the whole journey?
Answer and working
Answer E
For equal distances, average speed = 2xy/(x + y) = 2 × 12 × 24 ÷ 36 = 16 km/h. The plain average, 18, ignores that the slower leg takes longer.
-
Three fair coins are tossed. What is the probability of getting at most one head?
Answer and working
Answer E
Of the 8 equally likely outcomes, 4 qualify. Probability = 1⁄2.
-
Simplify: 1⁄2 + 2⁄3 + 3⁄4
Answer and working
Answer C
Over the common denominator 12: the sum is 23⁄12. Adding tops and bottoms separately (6/9) is the trap.
-
What is 35% of 1,080?
Answer and working
Answer E
35% of 1,080 = 1,080 × 35/100 = 378.
-
Two successive discounts of 20% and 10% are equal to a single discount of:
Answer and working
Answer D
Single discount = 20 + 10 − (20 × 10)/100 = 28%. The second discount is taken on the already reduced price, so the two do not simply add.
-
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.
-
What is the difference between the compound interest and the simple interest on ₹16,400 for 2 years at 5% per annum?
Answer and working
Answer C
For 2 years, CI − SI = P × (R/100)² = 16,400 × (5/100)² = ₹41.
-
What is the value of 63² − 11²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 74 × 52 = 3,848.
-
Solve both equations and compare x and y.
I. x² − 20x + 99 = 0
II. y² − 9y − 10 = 0Answer and working
Answer E
I gives x = 9 or 11. 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.
-
Solve both equations and compare x and y.
I. x² − 19x + 84 = 0
II. y² − 12y + 32 = 0Answer and working
Answer E
I gives x = 7 or 12. II gives y = 4 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.
-
What is the fourth proportional to 5, 26 and 120?
Answer and working
Answer D
5 : 26 = 120 : x, so x = 26 × 120 ÷ 5 = 624.
-
Which number replaces the question mark? 4, 12, 36, ?, 324, 972
Answer and working
Answer B
The rule: each term is the previous × 3. The missing term is 108.
-
A boat covers 88 km downstream in 4 hours and 60 km upstream in 6 hours. What is the speed of the boat in still water?
Answer and working
Answer D
Downstream speed = 88 ÷ 4 = 22 km/h; upstream = 60 ÷ 6 = 10 km/h. Boat = (22 + 10) ÷ 2 = 16 km/h.
-
The sum of the present ages of a father and his son is 86 years. 7 years ago, the father was 5 times as old as the son. How old is the son now?
Answer and working
Answer B
Let the son be s. Then (86 − s − 7) = 5(s − 7), so 114 = 6s and s = 19 years.
-
What is the average of the first 49 natural numbers?
Answer and working
Answer C
Sum = 49 × 50/2, so the average is (49 + 1)/2 = 25.
-
What is √576 + √729 − √441?
Answer and working
Answer E
24 + 27 − 21 = 30.
-
A trader buys a bicycle for ₹1,400 and sells it for ₹1,680. What is the profit or loss percent?
Answer and working
Answer E
Profit = ₹280. As a percent of the cost price: 280 ÷ 1,400 × 100 = 20% profit.
-
Solve both equations and compare x and y.
I. x² + 11x + 30 = 0
II. y² − 11y + 10 = 0Answer and working
Answer C
I gives x = −6 or −5. II gives y = 1 or 10. Every x is smaller than every y: x < y.
-
A and B together can do a job in 8 days. A alone can do it in 12 days. In how many days can B alone do it?
Answer and working
Answer E
B’s one day = 1/8 − 1/12 = 1/24. B alone takes 24 days.
-
What is the value of 86² − 38²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 124 × 48 = 5,952.
-
In what ratio must rice at ₹60/kg be mixed with rice at ₹78/kg so that the mixture is worth ₹75/kg?
Answer and working
Answer C
By alligation: cheaper : dearer = (78 − 75) : (75 − 60) = 3 : 15 = 1 : 5.
-
Which number replaces the question mark? 61, 67, 71, 73, ?, 83
Answer and working
Answer C
The rule: consecutive prime numbers. The missing term is 79.
-
Solve both equations and compare x and y.
I. x² − 11x + 24 = 0
II. y² − 13y + 36 = 0Answer and working
Answer E
I gives x = 3 or 8. II gives y = 4 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.
-
The price of a cooler goes from ₹1,000 to ₹600. What is the percentage decrease?
Answer and working
Answer E
Change = ₹400. On the original value: 400 ÷ 1,000 × 100 = 40%, a 40% decrease. Dividing by the new value, 600, is the usual slip.
-
Simplify: 1⁄10 + 4⁄5 + 1⁄2
Answer and working
Answer D
Over the common denominator 10: the sum is 7⁄5. Adding tops and bottoms separately (6/17) is the trap.
-
The simple interest on a sum for 5 years at 10% per annum is ₹24,000. What is the sum?
Answer and working
Answer E
P = SI × 100 / (R × T) = 24,000 × 100 / (10 × 5) = ₹48,000.
-
Solve both equations and compare x and y.
I. x² − 17x + 60 = 0
II. y² − 13y + 22 = 0Answer and working
Answer E
I gives x = 5 or 12. II gives y = 2 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.
-
Find the wrong number in the series: 9, 54, 18, 50, 19, 46, 24, 42
Answer and working
Answer B
The rule: two series alternate: 9, 14, 19 … rising by 5, and 54, 50, 46 … falling by 4. The term in place of 18 should be 14, so the wrong number is 18.
-
Simplify: 92 + 4 × 11 − 25 ÷ 5
Answer and working
Answer A
Division and multiplication first: 4 × 11 = 44 and 25 ÷ 5 = 5. Then 92 + 44 − 5 = 131.
-
Which number replaces the question mark? 10, 52, 13, 47, 16, 42, 19, ?
Answer and working
Answer A
The rule: two series alternate: 10, 13, 16 … rising by 3, and 52, 47, 42 … falling by 5. The missing term is 37.
-
Which number replaces the question mark? 0, 7, 26, 63, 124, ?
Answer and working
Answer C
The rule: the terms are 1³, 2³, 3³ … minus 1. The missing term is 215.
-
A train 240 m long crosses a platform 180 m long in 42 seconds. What is the speed of the train?
Answer and working
Answer C
It must cover its own length and the platform: 240 + 180 = 420 m in 42 s, so 10 m/s = 10 × 18/5 = 36 km/h.
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 540 432 Plant K 520 728 Plant L 580 522 Plant M 340 476 Plant N 500 750 -
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer B
Growth: Plant J −20%, Plant K 40%, Plant L −10%, Plant M 40%, Plant N 50%. The highest is Plant N.
-
What is the average Year 2 figure of the five?
Answer and working
Answer D
Sum of Year 2 = 2,908. ÷ 5 = 581.6.
-
By what percent did Plant M’s figure change from Year 1 to Year 2?
Answer and working
Answer E
Change = 476 − 340 = 136. On Year 1: 136 ÷ 340 × 100 = 40% increase.
-
What is the total for Plant N over the two years?
Answer and working
Answer D
500 + 750 = 1,250.
-
What is the ratio of Plant M’s Year 1 figure to Plant J’s Year 2 figure?
Answer and working
Answer B
340 : 432 = 85 : 108.