- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 4118243
- Series
- B
IBPS RRB PO (Officer Scale-I) Prelims Paper 10
- 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
-
Priya walks 13 km towards the north. She turns right and walks 11 km. She turns left and walks 8 km. She turns right and walks 9 km. Which direction is she facing now?
Answer and working
Answer A
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.
-
In a certain code, BREAD is written as CQFZE. How is DOOR written in that code?
Answer and working
Answer D
From BREAD → CQFZE: letters in odd places move 1 forward, letters in even places move 1 back. Applied to DOOR: ENPQ.
-
In the English alphabet, which letter is 6th to the right of the 15th letter from the left?
Answer and working
Answer E
The 15th letter from the left is O (position 15). 6 places to the right: position 21, which is U.
-
Statements:
(1) All books are birds.
(2) No pens are birds.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some books are not birds.
(II) No pens are books.Answer and working
Answer B
Conclusion I need not hold: every one of the books may be birds. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Find the wrong number in the series: 10, 19, 35, 60, 96, 148, 209
Answer and working
Answer A
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The term in place of 148 should be 145, so the wrong number is 148.
-
Statement: E < C ≥ M ≥ H < W
Conclusions: I. W ≥ M II. H < EAnswer and working
Answer D
W and M: the signs between them point both ways, so no relation can be fixed, so W ≥ M is not definitely true. H and E: the signs between them point both ways, so no relation can be fixed, so H < E is not definitely true. So: Neither conclusion follows.
-
J is the father of N. V is the father of J. How is V related to N?
Answer and working
Answer B
Follow the links out from N: J is N’s father; V is J’s father. So V is N’s grandfather.
-
Statements:
(1) All clocks are phones.
(2) Some phones are cups.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some phones are clocks.
(II) Some phones are not clocks.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the phones may be clocks. So: Only conclusion I follows.
Directions for questions 9 to 13
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Farhan sits immediately to the right of Esha. Arun sits somewhere to the right of Chetan. Exactly one person sits between Bina and Esha. Exactly one person sits between Chetan and Esha. Arun sits immediately to the right of Bina.-
What is Arun’s position from the left end?
Answer and working
Answer E
Only one order fits every clue, from the left: Chetan, Divya, Esha, Farhan, Bina, Arun. 6th.
-
Which pair sits at the two ends of the row?
Answer and working
Answer B
Only one order fits every clue, from the left: Chetan, Divya, Esha, Farhan, Bina, Arun. Chetan and Arun.
-
Who sits at the extreme left end?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Divya, Esha, Farhan, Bina, Arun. Chetan.
-
Who sits at the extreme right end?
Answer and working
Answer C
Only one order fits every clue, from the left: Chetan, Divya, Esha, Farhan, Bina, Arun. Arun.
-
Who sits second to the right of Chetan?
Answer and working
Answer D
Only one order fits every clue, from the left: Chetan, Divya, Esha, Farhan, Bina, Arun. Esha.
-
In a certain code, PLANT is written as NJYLR. How is RAIN written in that code?
Answer and working
Answer C
From PLANT → NJYLR: each letter moves 2 places back. Applied to RAIN: PYGL.
-
Sana walks 7 km towards the east. She turns right and walks 9 km. She turns left and walks 15 km. She turns left and walks 15 km. Which direction is she facing now?
Answer and working
Answer A
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs North.
-
Statement: J < V = F ≤ A > K
Conclusions: I. V < A II. V = AAnswer and working
Answer C
V and A: the chain gives V ≤ A, so V < A is not definitely true. V and A: the chain gives V ≤ A, so V = A is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Deepak walks 13 km towards the north. He turns right and walks 7 km. He turns right and walks 15 km. Which direction is he facing now?
Answer and working
Answer C
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs South.
-
Statements:
(1) Some bells are watches.
(2) No bottles are watches.
(3) All chairs are bottles.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some bottles are not chairs.
(II) All bottles are chairs.Answer and working
Answer C
Conclusion I need not hold: every one of the bottles may be chairs. Conclusion II need not hold: some bottles may lie outside chairs. 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 queue, Kabir is 14th from the front and Dev is 25th from the front. How many people stand between them?
Answer and working
Answer A
Between positions 14 and 25 there are 25 − 14 − 1 = 10 people.
-
Pointing to a woman in a photograph, Rohit said, ‘She is the wife of my father’s only son.’ How is the woman related to Rohit?
Answer and working
Answer E
My father’s only son is me. So the woman is Rohit’s wife.
-
Which number replaces the question mark? 125, 216, ?, 512, 729, 1,000
Answer and working
Answer C
The rule: the terms are 5³, 6³, 7³ …. The missing term is 343.
-
Statement: W < R = F ≤ D ≤ V
Conclusions: I. V > F II. V = FAnswer and working
Answer C
V and F: the chain gives V ≥ F, so V > F is not definitely true. V and F: the chain gives V ≥ F, so V = F is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
In a certain code, CARPET is written as XZIKVG. How is GRAPE written in that code?
Answer and working
Answer E
From CARPET → XZIKVG: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to GRAPE: TIZKV.
-
If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 43 + 6 × 6 − 12 ÷ 2?
Answer and working
Answer E
Replace the signs: 43 × 6 ÷ 6 + 12 − 2. Division and multiplication first, then addition and subtraction: 53.
-
Pointing to a woman in a photograph, Pooja said, ‘She is the daughter of my grandfather’s only son.’ How is the woman related to Pooja?
Answer and working
Answer E
My grandfather’s only son is my father; his child, other than me, is my brother or sister. So the woman is Pooja’s sister.
-
Statements:
(1) No phones are planes.
(2) No phones are flowers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No planes are flowers.
(II) All planes are phones.Answer and working
Answer D
Conclusion I need not hold: planes and flowers may overlap. Conclusion II need not hold: some planes may lie outside phones. So: Neither conclusion follows.
-
Statements:
(1) Some watches are tables.
(2) All tables are bags.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some tables are not bags.
(II) Some tables are not watches.Answer and working
Answer D
Conclusion I need not hold: every one of the tables may be bags. Conclusion II need not hold: every one of the tables may be watches. So: Neither conclusion follows.
-
Statement: D = E ≤ V = H < F
Conclusions: I. D > H II. D < FAnswer and working
Answer B
D and H: the chain gives D ≤ H, so D > H is not definitely true. D and F: the chain gives D < F, so D < F is definitely true. So: Only conclusion II follows.
-
In a row of 30 students, Meena is 16th from the left. What is Meena’s position from the right?
Answer and working
Answer A
Position from the right = total − position from the left + 1 = 30 − 16 + 1 = 15th.
-
Which one does not belong with the others?
Answer and working
Answer B
68, 136, 170, 153 are multiples of 17; 113 is not. The odd one is 113.
-
In a certain code, FISH is written as DGQF. How is CARPET written in that code?
Answer and working
Answer A
From FISH → DGQF: each letter moves 2 places back. Applied to CARPET: AYPNCR.
-
Y is the son of B. G is the wife of Z. B is the sister of G. How is Y related to Z?
Answer and working
Answer B
Follow the links out from Z: G is Z’s wife; B is G’s sister; Y is B’s son. So Y is Z’s nephew.
-
Statement: N > Q ≤ R = L > F
Conclusions: I. Q < L II. Q = LAnswer and working
Answer C
Q and L: the chain gives Q ≤ L, so Q < L is not definitely true. Q and L: the chain gives Q ≤ L, so Q = L is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
In a certain code, BREAD is written as CSFBE. How is CANDLE written in that code?
Answer and working
Answer D
From BREAD → CSFBE: each letter moves 1 place forward. Applied to CANDLE: DBOEMF.
-
Statements:
(1) No shirts are papers.
(2) Some roads are shirts.
(3) Some roads are not stones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some stones are not shirts.
(II) All stones are shirts.Answer and working
Answer C
Conclusion I need not hold: every one of the stones may be shirts. Conclusion II need not hold: some stones may lie outside shirts. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.
-
In the English alphabet, which letter is 8th to the left of the 8th letter from the right?
Answer and working
Answer A
The 8th letter from the right is S (position 19). 8 places to the left: position 11, which is K.
-
Statements:
(1) Some lamps are doors.
(2) All doors are papers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some papers are not lamps.
(II) Some papers are lamps.Answer and working
Answer B
Conclusion I need not hold: every one of the papers may be lamps. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statement: E ≤ J ≤ A < Z ≤ V
Conclusions: I. E < V II. E ≤ VAnswer and working
Answer E
E and V: the chain gives E < V, so E < V is definitely true. E and V: the chain gives E < V, so E ≤ V is definitely true. So: Both conclusions follow.
-
If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 26 ÷ 6 × 6 − 2 + 3?
Answer and working
Answer D
Replace the signs: 26 × 6 + 6 ÷ 2 − 3. Division and multiplication first, then addition and subtraction: 156.
-
Kabir walks 4 km towards the south. He turns left and walks 6 km. He turns left and walks 11 km. He turns left and walks 6 km. He turns left and walks 14 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer D
Taking east and north as positive: he ends 0 km east and 7 km south of the start. Distance = √(0² + 7²) = 7 km. 7 km, south.
Part BQuantitative Aptitude
-
Which number replaces the question mark? 5, 14, 41, 122, 365, 1,094, ?
Answer and working
Answer E
The rule: each term is the previous × 3 − 1. The missing term is 3,281.
-
A train 340 m long crosses a platform 560 m long in 36 seconds. What is the speed of the train?
Answer and working
Answer B
It must cover its own length and the platform: 340 + 560 = 900 m in 36 s, so 25 m/s = 25 × 18/5 = 90 km/h.
-
Which number replaces the question mark? 3, 11, 35, 107, 323, 971, ?
Answer and working
Answer E
The rule: each term is the previous × 3 + 2. The missing term is 2,915.
-
One card is drawn at random from a well-shuffled pack of 52. What is the probability that it is neither a king nor a queen?
Answer and working
Answer D
44 of the 52 cards qualify. Probability = 11⁄13.
-
Simplify: 16 + 8 × 4 − 45 ÷ 5
Answer and working
Answer A
Division and multiplication first: 8 × 4 = 32 and 45 ÷ 5 = 9. Then 16 + 32 − 9 = 39.
-
₹17,235 is divided among Amit, Bina and Chetan in the ratio 2 : 4 : 3. What is Amit’s share?
Answer and working
Answer E
Total parts = 2 + 4 + 3 = 9. Amit gets 2/9 × 17,235 = ₹3,830.
-
Which number replaces the question mark? 79, 83, 89, 97, 101, ?
Answer and working
Answer A
The rule: consecutive prime numbers. The missing term is 103.
-
What is 55% of 900?
Answer and working
Answer A
55% of 900 = 900 × 55/100 = 495.
-
Solve both equations and compare x and y.
I. x² − x = 0
II. y² − 10y − 11 = 0Answer and working
Answer E
I gives x = 0 or 1. 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.
-
Solve both equations and compare x and y.
I. x² − 6x − 16 = 0
II. y² − 14y + 48 = 0Answer and working
Answer E
I gives x = −2 or 8. II gives y = 6 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.
-
Solve both equations and compare x and y.
I. x² − x − 56 = 0
II. y² + 5y = 0Answer and working
Answer E
I gives x = −7 or 8. 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.
-
Simplify: 39 + 11 × 9 − 45 ÷ 9
Answer and working
Answer A
Division and multiplication first: 11 × 9 = 99 and 45 ÷ 9 = 5. Then 39 + 99 − 5 = 133.
-
Simplify: 1⁄2 + 3⁄4 + 1⁄4
Answer and working
Answer E
Over the common denominator 12: the sum is 3⁄2. Adding tops and bottoms separately (7/18) is the trap.
-
Simplify: 49 + 2 × 12 − 16 ÷ 2
Answer and working
Answer E
Division and multiplication first: 2 × 12 = 24 and 16 ÷ 2 = 8. Then 49 + 24 − 8 = 65.
-
Which number replaces the question mark? 4, 9, 16, 25, ?, 49
Answer and working
Answer B
The rule: the terms are 2², 3², 4² …. The missing term is 36.
-
What is 45% of 560?
Answer and working
Answer B
45% of 560 = 560 × 45/100 = 252.
-
Solve both equations and compare x and y.
I. x² + 2x − 48 = 0
II. y² − 9y − 10 = 0Answer and working
Answer E
I gives x = −8 or 6. 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.
-
Simplify: 1⁄2 + 1⁄2 + 1⁄4
Answer and working
Answer E
Over the common denominator 24: the sum is 5⁄4. Adding tops and bottoms separately (6/16) is the trap.
-
Which number replaces the question mark? 18, 52, 23, 47, 28, 42, 33, ?
Answer and working
Answer D
The rule: two series alternate: 18, 23, 28 … rising by 5, and 52, 47, 42 … falling by 5. The missing term is 37.
-
Two trains 190 m and 290 m long run on parallel tracks in opposite directions at 70 km/h and 38 km/h. How long do they take to cross each other?
Answer and working
Answer B
Relative speed = 70 + 38 = 108 km/h = 30 m/s. Distance = 190 + 290 = 480 m. Time = 480 ÷ 30 = 16 seconds.
-
The population of a town is 74,650. It grows by 20% every year. What will it be after 2 years?
Answer and working
Answer D
74,650 × (1 + 20/100)² = 74,650 × 1.44 = 1,07,496. Growing 20% on 74,650 twice, not 40% once.
Directions for questions 62 to 66
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 320 288 Shop Q 780 975 Shop R 400 320 Shop S 540 486 Shop T 260 299 -
What is the ratio of Shop R’s Year 1 figure to Shop S’s Year 2 figure?
Answer and working
Answer E
400 : 486 = 200 : 243.
-
What is the total for Shop S over the two years?
Answer and working
Answer E
540 + 486 = 1,026.
-
What is the average Year 2 figure of the five?
Answer and working
Answer D
Sum of Year 2 = 2,368. ÷ 5 = 473.6.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer E
Growth: Shop P −10%, Shop Q 25%, Shop R −20%, Shop S −10%, Shop T 15%. The highest is Shop Q.
-
Shop P’s Year 2 figure is what percent of Shop T’s Year 2 figure?
Answer and working
Answer E
288 ÷ 299 × 100 = 96.32%.
-
₹20,000 amounts to ₹26,450 in 2 years at compound interest, compounded annually. What is the rate of interest?
Answer and working
Answer C
(1 + R/100)² = 26,450/20,000 = 1.3225, so 1 + R/100 = 1.15 and R = 15%. Dividing the interest equally between the years (simple interest) gives a wrong answer.
-
The sum of the present ages of a father and his son is 80 years. 4 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 (80 − s − 4) = 3(s − 4), so 88 = 4s and s = 22 years.
-
Solve both equations and compare x and y.
I. x² − 2x − 80 = 0
II. y² − 4y + 3 = 0Answer and working
Answer E
I gives x = −8 or 10. 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.
-
What is the average of the first 52 even numbers?
Answer and working
Answer D
The first 52 even numbers add up to 52 × 53 = 2756; the average is 53.
-
Solve both equations and compare x and y.
I. x² + 17x + 72 = 0
II. y² − 4y − 5 = 0Answer and working
Answer C
I gives x = −9 or −8. II gives y = −1 or 5. Every x is smaller than every y: x < y.
-
Which number replaces the question mark? 63, 124, 215, 342, 511, ?
Answer and working
Answer E
The rule: the terms are 4³, 5³, 6³ … minus 1. The missing term is 728.
-
Simplify: 90 + 4 × 9 − 99 ÷ 9
Answer and working
Answer D
Division and multiplication first: 4 × 9 = 36 and 99 ÷ 9 = 11. Then 90 + 36 − 11 = 115.
-
84 litres of a mixture contains milk and water in the ratio 4 : 3. How much water must be added to make the ratio 2 : 3?
Answer and working
Answer C
Milk = 48 l, water = 36 l. For 2 : 3, water must be 48 × 3/2 = 72 l. Add 72 − 36 = 36 litres.
-
A shopkeeper marks his goods 20% above the cost price and allows a discount of 10%. What is his profit or loss percent?
Answer and working
Answer A
Take CP = 100. Marked price = 120. After 10% off: 120 × 90/100 = 108. So 8% profit.
-
A and B together can do a job in 14 days. A alone can do it in 21 days. In how many days can B alone do it?
Answer and working
Answer D
B’s one day = 1/14 − 1/21 = 1/42. B alone takes 42 days.
-
A boat covers 48 km downstream in 3 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 48 ÷ 3 = 16 km/h; upstream = 56 ÷ 4 = 14 km/h. Boat = (16 + 14) ÷ 2 = 15 km/h.
-
The simple interest on a sum for 3 years at 10% per annum is ₹10,200. What is the sum?
Answer and working
Answer C
P = SI × 100 / (R × T) = 10,200 × 100 / (10 × 3) = ₹34,000.
-
Solve both equations and compare x and y.
I. x² − 1 = 0
II. y² + 6y − 7 = 0Answer and working
Answer E
I gives x = −1 or 1. II gives y = −7 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.
-
A shopkeeper marks his goods 20% above the cost price and allows a discount of 30%. What is his profit or loss percent?
Answer and working
Answer A
Take CP = 100. Marked price = 120. After 30% off: 120 × 70/100 = 84. So 16% loss.