- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 9134324
- Series
- D
IBPS RRB PO (Officer Scale-I) Prelims Paper 2
- 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
-
Statements:
(1) All coins are tables.
(2) No tables are papers.
(3) All papers are doors.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some doors are coins.
(II) No doors are tables.Answer and working
Answer D
Conclusion I need not hold: doors and coins need not overlap at all. Conclusion II need not hold: doors and tables may overlap. So: Neither conclusion follows.
-
If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 14 ÷ 4 + 11 × 4 − 3?
Answer and working
Answer E
Replace the signs: 14 − 4 × 11 ÷ 4 + 3. Division and multiplication first, then addition and subtraction: 6.
-
Priya walks 13 km towards the east. She turns left and walks 14 km. She turns left and walks 12 km. She turns left and walks 10 km. She turns left and walks 15 km. In which direction is she from the starting point?
Answer and working
Answer C
Taking east and north as positive: she ends 16 km east and 4 km north of the start, which is to the North-east.
-
In a certain code, PILLOW is written as KROOLD. How is SHIP written in that code?
Answer and working
Answer A
From PILLOW → KROOLD: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to SHIP: HSRK.
-
J is the brother of M. A is the wife of J. M is the mother of Q. How is A related to Q?
Answer and working
Answer C
Follow the links out from Q: M is Q’s mother; J is M’s brother; A is J’s wife. So A is Q’s aunt.
-
Statements:
(1) Some kites are phones.
(2) No roads are kites.
(3) Some roads are flowers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some kites are not roads.
(II) Some roads are not kites.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.
-
Which number replaces the question mark? 8, 15, 24, 35, ?, 63
Answer and working
Answer E
The rule: the terms are 3², 4², 5² … minus 1. The missing term is 48.
-
Statements:
(1) Some bags are rings.
(2) No papers are rings.
(3) Some stones are not papers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All bags are stones.
(II) No stones are rings.Answer and working
Answer D
Conclusion I need not hold: some bags may lie outside stones. Conclusion II need not hold: stones and rings may overlap. So: Neither conclusion follows.
-
Statement: W ≥ V ≥ N ≥ Z > A
Conclusions: I. W ≥ A II. W > ZAnswer and working
Answer A
W and A: the chain gives W > A, so W ≥ A is definitely true. W and Z: the chain gives W ≥ Z, so W > Z is not definitely true. So: Only conclusion I follows.
-
Statement: V ≥ E ≥ D = C = Y
Conclusions: I. V ≤ Y II. V ≥ YAnswer and working
Answer B
V and Y: the chain gives V ≥ Y, so V ≤ Y is not definitely true. V and Y: the chain gives V ≥ Y, so V ≥ Y is definitely true. So: Only conclusion II follows.
-
In a certain code, LADDER is written as 50. How is LAMP written in that code?
Answer and working
Answer C
LADDER = 50 is the sum of (position + 1) for each letter. For LAMP: 13 + 2 + 14 + 17 = 46.
-
R is the brother of X. Y is the wife of R. How is Y related to X?
Answer and working
Answer A
Follow the links out from X: R is X’s brother; Y is R’s wife. So Y is X’s sister-in-law.
-
Lata walks 6 km towards the west. She turns right 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 D
Taking east and north as positive: she ends 8 km west and 15 km north of the start. Distance = √(8² + 15²) = 17 km. 17 km, north-west.
-
Statement: J ≤ W < C > S > Z
Conclusions: I. S < J II. Z < CAnswer and working
Answer B
S and J: the signs between them point both ways, so no relation can be fixed, so S < J is not definitely true. Z and C: the chain gives Z < C, so Z < C is definitely true. So: Only conclusion II follows.
-
In the English alphabet, which letter is 8th to the left of the 15th letter from the left?
Answer and working
Answer A
The 15th letter from the left is O (position 15). 8 places to the left: position 7, which is G.
-
Statements:
(1) No papers are clocks.
(2) Some clocks are buses.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some papers are buses.
(II) All buses are clocks.Answer and working
Answer D
Conclusion I need not hold: papers and buses need not overlap at all. Conclusion II need not hold: some buses may lie outside clocks. So: Neither conclusion follows.
-
Statements:
(1) All boxes are papers.
(2) Some boxes are cups.
(3) All cups are coins.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some boxes are papers.
(II) Some coins are cups.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.
-
Which one does not belong with the others?
Answer and working
Answer C
In the others the second number is 3n + 1 of the first; 3 : 11 breaks it. The odd one is 3 : 11.
-
In a certain code, MANGO is written as NZMTL. How is CLOUD written in that code?
Answer and working
Answer D
From MANGO → NZMTL: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to CLOUD: XOLFW.
Directions for questions 20 to 24
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Farhan sits third to the right of Bina. Exactly one person sits between Farhan and Arun. Exactly 4 people sit between Chetan and Bina. Exactly 2 people sit between Esha and Farhan. Farhan sits somewhere to the right of Divya.-
Who sits at the extreme left end?
Answer and working
Answer C
Only one order fits every clue, from the left: Bina, Arun, Divya, Farhan, Gopal, Chetan, Esha. Bina.
-
Who sits exactly between Farhan and Chetan?
Answer and working
Answer D
Only one order fits every clue, from the left: Bina, Arun, Divya, Farhan, Gopal, Chetan, Esha. Gopal.
-
What is Divya’s position from the left end?
Answer and working
Answer E
Only one order fits every clue, from the left: Bina, Arun, Divya, Farhan, Gopal, Chetan, Esha. 3rd.
-
Who sits second to the right of Gopal?
Answer and working
Answer A
Only one order fits every clue, from the left: Bina, Arun, Divya, Farhan, Gopal, Chetan, Esha. Esha.
-
How many people sit between Divya and Bina?
Answer and working
Answer C
Only one order fits every clue, from the left: Bina, Arun, Divya, Farhan, Gopal, Chetan, Esha. Between them: 1.
-
Statements:
(1) Some lamps are clouds.
(2) No clouds are pens.
(3) No coins are pens.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some clouds are lamps.
(II) All pens are coins.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some pens may lie outside coins. So: Only conclusion I follows.
-
Rekha walks 6 km towards the north. She turns left and walks 7 km. She turns left and walks 5 km. In which direction is she from the starting point?
Answer and working
Answer E
Taking east and north as positive: she ends 7 km west and 1 km north of the start, which is to the North-west.
-
In a certain code, TRAIN is written as GIZRM. How is RIBBON written in that code?
Answer and working
Answer E
From TRAIN → GIZRM: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to RIBBON: IRYYLM.
-
Statement: W ≥ K = Q = Y < F
Conclusions: I. K ≥ Y II. F ≥ QAnswer and working
Answer E
K and Y: the chain gives K = Y, so K ≥ Y is definitely true. F and Q: the chain gives F > Q, so F ≥ Q is definitely true. So: Both conclusions follow.
-
Statements:
(1) No papers are bags.
(2) No bags are stones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some bags are not papers.
(II) All bags are stones.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some bags may lie outside stones. So: Only conclusion I follows.
-
In a certain code, KNIFE is written as 50. How is LEMON written in that code?
Answer and working
Answer B
KNIFE = 50 is the sum of (position + 1) for each letter. For LEMON: 13 + 6 + 14 + 16 + 15 = 64.
-
Statement: B ≥ E > U ≥ F ≥ Q
Conclusions: I. Q < U II. Q = UAnswer and working
Answer C
Q and U: the chain gives Q ≤ U, so Q < U is not definitely true. Q and U: the chain gives Q ≤ U, so Q = U is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
In a queue, Farhan is 14th from the front and Priya is 35th from the front. How many people stand between them?
Answer and working
Answer E
Between positions 14 and 35 there are 35 − 14 − 1 = 20 people.
-
Y is the wife of D. D is the brother of Q. How is Y related to Q?
Answer and working
Answer B
Follow the links out from Q: D is Q’s brother; Y is D’s wife. So Y is Q’s sister-in-law.
-
Which number replaces the question mark? 4, 10, 22, 46, 94, 190, ?
Answer and working
Answer A
The rule: each term is the previous × 2 + 2. The missing term is 382.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 27 ÷ 12 × 9 + 9 − 4?
Answer and working
Answer C
Replace the signs: 27 + 12 − 9 ÷ 9 × 4. Division and multiplication first, then addition and subtraction: 35.
-
K is the mother of W. E is the sister of K. How is E related to W?
Answer and working
Answer B
Follow the links out from W: K is W’s mother; E is K’s sister. So E is W’s aunt.
-
Statement: U ≤ Q > B ≤ E < H
Conclusions: I. B ≤ H II. U ≤ BAnswer and working
Answer A
B and H: the chain gives B < H, so B ≤ H is definitely true. U and B: the signs between them point both ways, so no relation can be fixed, so U ≤ B is not definitely true. So: Only conclusion I follows.
-
Tarun walks 11 km towards the east. He turns right and walks 2 km. He turns right and walks 7 km. He turns left and walks 3 km. In which direction is he from the starting point?
Answer and working
Answer B
Taking east and north as positive: he ends 4 km east and 5 km south of the start, which is to the South-east.
-
In the English alphabet, which letter is 8th to the right of the 13th letter from the left?
Answer and working
Answer E
The 13th letter from the left is M (position 13). 8 places to the right: position 21, which is U.
-
In a row of 37 students, Anjali is 16th 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 = 37 − 16 + 1 = 22nd.
Part BQuantitative Aptitude
-
Solve both equations and compare x and y.
I. x² + 2x − 24 = 0
II. y² − 4y = 0Answer and working
Answer E
I gives x = −6 or 4. II gives y = 0 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.
-
What is the average of the first 19 even numbers?
Answer and working
Answer C
The first 19 even numbers add up to 19 × 20 = 380; the average is 20.
-
Solve both equations and compare x and y.
I. x² − x − 72 = 0
II. y² + 4y + 3 = 0Answer and working
Answer E
I gives x = −8 or 9. II gives y = −3 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.
-
The incomes of P and Q are in the ratio 7 : 5 and their expenditures are in the ratio 11 : 5. If each saves ₹10,000 a month, what is P’s monthly income?
Answer and working
Answer D
Incomes 7x and 5x. (7x − 10,000) : (5x − 10,000) = 11 : 5 gives x = 3,000. P’s income = 7 × 3,000 = ₹21,000.
-
Solve both equations and compare x and y.
I. x² − x − 20 = 0
II. y² − 4y − 12 = 0Answer and working
Answer E
I gives x = −4 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.
-
500 is what percent of 800?
Answer and working
Answer B
500 ÷ 800 × 100 = 62.5%.
-
110 litres of a mixture contains milk and water in the ratio 7 : 4. How much water must be added to make the ratio 5 : 3?
Answer and working
Answer C
Milk = 70 l, water = 40 l. For 5 : 3, water must be 70 × 3/5 = 42 l. Add 42 − 40 = 2 litres.
-
Solve both equations and compare x and y.
I. x² − 13x + 12 = 0
II. y² − 13y + 40 = 0Answer and working
Answer E
I gives x = 1 or 12. 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.
-
Which number replaces the question mark? 124, 215, 342, 511, 728, ?
Answer and working
Answer E
The rule: the terms are 5³, 6³, 7³ … minus 1. The missing term is 999.
-
Find the wrong number in the series: 27, 38, 51, 66, 83, 108, 123
Answer and working
Answer B
The rule: the terms are 5², 6², 7² … plus 2. The term in place of 108 should be 102, so the wrong number is 108.
-
Which number replaces the question mark? 8, 24, ?, 216, 648, 1,944
Answer and working
Answer B
The rule: each term is the previous × 3. The missing term is 72.
-
Simplify: 3⁄5 + 3⁄4 + 7⁄10
Answer and working
Answer D
Over the common denominator 20: the sum is 41⁄20. Adding tops and bottoms separately (13/19) is the trap.
-
A trader buys a bicycle for ₹2,300 and sells it for ₹1,610. What is the profit or loss percent?
Answer and working
Answer A
Loss = ₹690. As a percent of the cost price: 690 ÷ 2,300 × 100 = 30% loss.
Directions for questions 54 to 58
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 580 812 Shop Q 800 840 Shop R 380 418 Shop S 540 567 Shop T 580 696 -
What is the average Year 2 figure of the five?
Answer and working
Answer E
Sum of Year 2 = 3,333. ÷ 5 = 666.6.
-
What is the ratio of Shop P’s Year 1 figure to Shop R’s Year 2 figure?
Answer and working
Answer A
580 : 418 = 290 : 209.
-
By what percent did Shop T’s figure change from Year 1 to Year 2?
Answer and working
Answer D
Change = 696 − 580 = 116. On Year 1: 116 ÷ 580 × 100 = 20% increase.
-
What is the total for Shop R over the two years?
Answer and working
Answer A
380 + 418 = 798.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer C
Growth: Shop P 40%, Shop Q 5%, Shop R 10%, Shop S 5%, Shop T 20%. The highest is Shop P.
-
Two successive discounts of 20% and 20% are equal to a single discount of:
Answer and working
Answer E
Single discount = 20 + 20 − (20 × 20)/100 = 36%. The second discount is taken on the already reduced price, so the two do not simply add.
-
Which number replaces the question mark? 12, 66, ?, 63, 18, 60
Answer and working
Answer D
The rule: two series alternate: 12, 15, 18 … rising by 3, and 66, 63, 60 … falling by 3. The missing term is 15.
-
What is the value of 95² − 27²?
Answer and working
Answer B
a² − b² = (a + b)(a − b) = 122 × 68 = 8,296.
-
A train 110 m long crosses a platform 400 m long in 51 seconds. What is the speed of the train?
Answer and working
Answer E
It must cover its own length and the platform: 110 + 400 = 510 m in 51 s, so 10 m/s = 10 × 18/5 = 36 km/h.
-
Solve both equations and compare x and y.
I. x² − 36 = 0
II. y² − 14y + 24 = 0Answer and working
Answer E
I gives x = −6 or 6. II gives y = 2 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.
-
What is the difference between the compound interest and the simple interest on ₹54,200 for 2 years at 10% per annum?
Answer and working
Answer E
For 2 years, CI − SI = P × (R/100)² = 54,200 × (10/100)² = ₹542.
-
What is √729 + √196 − √289?
Answer and working
Answer C
27 + 14 − 17 = 24.
-
What is the value of 69² − 51²?
Answer and working
Answer B
a² − b² = (a + b)(a − b) = 120 × 18 = 2,160.
-
A is four times as efficient as B. Together they finish a job in 48 days. How long would A take alone?
Answer and working
Answer D
If B does 1 unit a day, A does 4; together 5 units a day for 48 days = 240 units. A alone: 240 ÷ 4 = 60 days.
-
Solve both equations and compare x and y.
I. x² + 4x − 5 = 0
II. y² − 17y + 60 = 0Answer and working
Answer C
I gives x = −5 or 1. II gives y = 5 or 12. Every x is smaller than every y: x < y.
-
Two fair dice are thrown together. What is the probability that both show the same number?
Answer and working
Answer C
There are 36 equally likely outcomes and 6 of them qualify. Probability = 1⁄6.
-
A number is first increased by 25% and then decreased by 40%. What is the net change?
Answer and working
Answer B
Net effect = 25 − 40 − (25 × 40)/100 = −25%, so 25% decrease.
-
Which number replaces the question mark? 2, 3, 8, 27, 112, ?
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 565.
-
Solve both equations and compare x and y.
I. x² − 4x − 77 = 0
II. y² − 8y − 20 = 0Answer and working
Answer E
I gives x = −7 or 11. II gives y = −2 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.
-
What is √289 + √784 − √676?
Answer and working
Answer B
17 + 28 − 26 = 19.
-
A boat covers 28 km downstream in 2 hours and 40 km upstream in 5 hours. What is the speed of the stream?
Answer and working
Answer C
Downstream speed = 28 ÷ 2 = 14 km/h; upstream = 40 ÷ 5 = 8 km/h. Stream = (14 − 8) ÷ 2 = 3 km/h.
-
A train 130 m long passes a signal post in 13 seconds. What is its speed in km/h?
Answer and working
Answer A
Speed = 130 ÷ 13 = 10 m/s = 10 × 18/5 = 36 km/h.
-
Which number replaces the question mark? 2, 3, 5, 9, 17, 33, ?
Answer and working
Answer D
The rule: each term is the previous × 2 − 1. The missing term is 65.
-
The simple interest on a sum for 3 years at 10% per annum is ₹11,850. What is the sum?
Answer and working
Answer A
P = SI × 100 / (R × T) = 11,850 × 100 / (10 × 3) = ₹39,500.
-
A shopkeeper marks an article 20% above its cost price and allows a discount of 25%. If the article was sold for ₹2,160, what was its cost price?
Answer and working
Answer E
SP = CP × 1.2 × 0.75 = CP × 0.9. So CP = 2,160 ÷ 0.9 = ₹2,400.
-
Simplify: 97 + 5 × 2 − 22 ÷ 2
Answer and working
Answer D
Division and multiplication first: 5 × 2 = 10 and 22 ÷ 2 = 11. Then 97 + 10 − 11 = 96.
-
The present ages of Asha and her elder brother are in the ratio 7 : 9. After 9 years, the ratio will be 5 : 6. What is Asha’s present age?
Answer and working
Answer B
Ages 7x and 9x. (7x + 9) : (9x + 9) = 5 : 6 gives x = 3. Asha is 7 × 3 = 21 years.