- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 7878766
- Series
- B
IBPS RRB PO (Officer Scale-I) Prelims Paper 1
- 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
-
Which number replaces the question mark? 1, 8, 27, 64, 125, ?
Answer and working
Answer E
The rule: the terms are 1³, 2³, 3³ …. The missing term is 216.
-
In a certain code, BOOK is written as YLLP. How is MANGO written in that code?
Answer and working
Answer D
From BOOK → YLLP: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to MANGO: NZMTL.
-
Statements:
(1) Some coins are clouds.
(2) No clouds are shirts.
(3) Some doors are shirts.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some shirts are doors.
(II) Some coins are not shirts.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.
-
If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 58 ÷ 10 × 2 − 2 + 3?
Answer and working
Answer D
Replace the signs: 58 × 10 ÷ 2 + 2 − 3. Division and multiplication first, then addition and subtraction: 289.
-
Statement: K < Q < B < P > F
Conclusions: I. B > K II. K > FAnswer and working
Answer A
B and K: the chain gives B > K, so B > K is definitely true. K and F: the signs between them point both ways, so no relation can be fixed, so K > F is not definitely true. So: Only conclusion I follows.
-
In a certain code, PENCIL is written as RGPEKN. How is BRIDGE written in that code?
Answer and working
Answer C
From PENCIL → RGPEKN: each letter moves 2 places forward. Applied to BRIDGE: DTKFIG.
-
Priya walks 12 km towards the west. She turns right and walks 12 km. She turns right and walks 9 km. She turns right and walks 4 km. She turns left and walks 3 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 0 km east and 8 km north of the start. Distance = √(0² + 8²) = 8 km. 8 km, north.
-
D is the husband of L. L is the sister of F. F is the mother of V. How is D related to V?
Answer and working
Answer A
Follow the links out from V: F is V’s mother; L is F’s sister; D is L’s husband. So D is V’s uncle.
-
If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 16 + 4 ÷ 4 − 12 × 4?
Answer and working
Answer B
Replace the signs: 16 − 4 × 4 + 12 ÷ 4. Division and multiplication first, then addition and subtraction: 3.
-
Statement: G > P ≤ M < F > C
Conclusions: I. C = P II. P ≤ FAnswer and working
Answer B
C and P: the signs between them point both ways, so no relation can be fixed, so C = P is not definitely true. P and F: the chain gives P < F, so P ≤ F is definitely true. So: Only conclusion II follows.
-
Which one does not belong with the others?
Answer and working
Answer C
49, 64, 256, 289 are perfect squares; 60 is not. The odd one is 60.
-
In a certain code, PLANET is written as SODQHW. How is RIBBON written in that code?
Answer and working
Answer D
From PLANET → SODQHW: each letter moves 3 places forward. Applied to RIBBON: ULEERQ.
-
Statements:
(1) All leaves are watches.
(2) Some watches are cups.
(3) All cups are trees.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All cups are leaves.
(II) Some cups are leaves.Answer and working
Answer D
Conclusion I need not hold: some cups may lie outside leaves. Conclusion II need not hold: cups and leaves need not overlap at all. So: Neither conclusion follows.
-
Statements:
(1) All lamps are bottles.
(2) Some lamps are kites.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No bottles are kites.
(II) Some kites are not bottles.Answer and working
Answer D
Conclusion I need not hold: bottles and kites may overlap. Conclusion II need not hold: every one of the kites may be bottles. So: Neither conclusion follows.
-
Which number replaces the question mark? 15, 17, 23, 33, 47, 65, ?
Answer and working
Answer A
The rule: the differences grow by 4: 2, 6, 10, 14, 18, 22. The missing term is 87.
-
In a certain code, TICKET is written as 136. How is FLOWER written in that code?
Answer and working
Answer A
TICKET = 136 is twice the sum of the letters’ positions in the alphabet. For FLOWER: 6 + 12 + 15 + 23 + 5 + 18 doubled = 158.
-
Statements:
(1) No bells are coins.
(2) All bells are flowers.
(3) All flowers are rings.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some flowers are bells.
(II) Some flowers are rings.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.
-
In the English alphabet, which letter is 9th to the left of the 15th letter from the left?
Answer and working
Answer B
The 15th letter from the left is O (position 15). 9 places to the left: position 6, which is F.
-
Statements:
(1) All coins are cups.
(2) Some cups are not clocks.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some coins are cups.
(II) All clocks are coins.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some clocks may lie outside coins. So: Only conclusion I follows.
-
In a class, Anjali ranks 8th from the top and 24th from the bottom. How many students are in the class?
Answer and working
Answer E
Anjali is counted in both ranks, so the total is 8 + 24 − 1 = 31.
-
Pointing to a man in a photograph, Harish said, ‘His mother is the only daughter of my mother.’ How is the man related to Harish?
Answer and working
Answer E
The only daughter of my mother is my sister, so the child is my sister’s. So the man is Harish’s nephew.
-
Lata walks 14 km towards the south. She turns right and walks 12 km. She turns left and walks 14 km. She turns right and walks 2 km. She turns left and walks 5 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 South.
-
Statements:
(1) Some books are coins.
(2) Some fans are books.
(3) All rivers are fans.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some books are rivers.
(II) Some rivers are not books.Answer and working
Answer D
Conclusion I need not hold: books and rivers need not overlap at all. Conclusion II need not hold: every one of the rivers may be books. So: Neither conclusion follows.
-
Vijay walks 6 km towards the east. He turns right and walks 8 km. He turns right and walks 9 km. He turns right and walks 7 km. He turns right and walks 3 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer A
Taking east and north as positive: he ends 0 km east and 1 km south of the start. Distance = √(0² + 1²) = 1 km. 1 km, south.
-
Statement: D ≤ Q = X ≤ K < M
Conclusions: I. Q < K II. D ≤ MAnswer and working
Answer B
Q and K: the chain gives Q ≤ K, so Q < K is not definitely true. D and M: the chain gives D < M, so D ≤ M is definitely true. So: Only conclusion II follows.
-
Statement: J > V < A > E > P
Conclusions: I. E > J II. A > PAnswer and working
Answer B
E and J: the signs between them point both ways, so no relation can be fixed, so E > J is not definitely true. A and P: the chain gives A > P, so A > P is definitely true. So: Only conclusion II follows.
-
Statement: A > T > N > M < W
Conclusions: I. M < A II. T < WAnswer and working
Answer A
M and A: the chain gives M < A, so M < A is definitely true. T and W: the signs between them point both ways, so no relation can be fixed, so T < W is not definitely true. So: Only conclusion I follows.
-
In a certain code, SHIP is written as TGJO. How is CANDLE written in that code?
Answer and working
Answer A
From SHIP → TGJO: letters in odd places move 1 forward, letters in even places move 1 back. Applied to CANDLE: DZOCMD.
-
U is the son of L. H is the wife of U. How is H related to L?
Answer and working
Answer A
Follow the links out from L: U is L’s son; H is U’s wife. So H is L’s daughter-in-law.
-
In the English alphabet, which letter is 4th to the right of the 12th letter from the right?
Answer and working
Answer D
The 12th letter from the right is O (position 15). 4 places to the right: position 19, which is S.
-
In a queue, Kabir is 5th from the front and Dev is 34th from the front. How many people stand between them?
Answer and working
Answer B
Between positions 5 and 34 there are 34 − 5 − 1 = 28 people.
-
Statements:
(1) Some pens are not kites.
(2) All buses are pens.
(3) Some rings are buses.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some pens are buses.
(II) Some buses are rings.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: K ≥ F > M ≥ P < H
Conclusions: I. P < F II. K > MAnswer and working
Answer E
P and F: the chain gives P < F, so P < F is definitely true. K and M: the chain gives K > M, so K > M is definitely true. So: Both conclusions follow.
Directions for questions 34 to 38
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Farhan sits immediately to the right of Bina. Bina sits immediately to the right of Esha. Chetan does not sit next to Farhan. Arun sits immediately to the right of Chetan. Chetan sits somewhere to the right of Bina.-
Which pair sits at the two ends of the row?
Answer and working
Answer B
Only one order fits every clue, from the left: Esha, Bina, Farhan, Divya, Chetan, Arun. Esha and Arun.
-
Who sits second to the right of Esha?
Answer and working
Answer B
Only one order fits every clue, from the left: Esha, Bina, Farhan, Divya, Chetan, Arun. Farhan.
-
Who sits at the extreme left end?
Answer and working
Answer C
Only one order fits every clue, from the left: Esha, Bina, Farhan, Divya, Chetan, Arun. Esha.
-
Who sits at the extreme right end?
Answer and working
Answer A
Only one order fits every clue, from the left: Esha, Bina, Farhan, Divya, Chetan, Arun. Arun.
-
How many people sit between Esha and Divya?
Answer and working
Answer D
Only one order fits every clue, from the left: Esha, Bina, Farhan, Divya, Chetan, Arun. Between them: 2.
-
Farah walks 8 km towards the west. She turns left and walks 4 km. She turns left and walks 4 km. She turns right and walks 10 km. She turns right and walks 6 km. Which direction is she facing now?
Answer and working
Answer B
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs West.
-
R is the sister of E. E is the father of Y. How is R related to Y?
Answer and working
Answer C
Follow the links out from Y: E is Y’s father; R is E’s sister. So R is Y’s aunt.
Part BQuantitative Aptitude
-
One card is drawn at random from a well-shuffled pack of 52. What is the probability that it is a number card from 2 to 10 of diamonds?
Answer and working
Answer B
9 of the 52 cards qualify. Probability = 9⁄52.
-
What is the compound interest on ₹41,200 for 2 years at 5% per annum, compounded annually?
Answer and working
Answer A
Amount = 41,200 × (1 + 5/100)2 = ₹45,423. CI = 45,423 − 41,200 = ₹4,223.
-
The average weight of 10 people goes up by 1.5 kg when a new person takes the place of one who weighs 69 kg. What does the new person weigh?
Answer and working
Answer C
The total rises by 10 × 1.5 = 15 kg, so the new person weighs 69 + 15 = 84 kg.
-
Which number replaces the question mark? 3, 12, 28, 53, 89, 138, ?
Answer and working
Answer D
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The missing term is 202.
Directions for questions 45 to 49
Study the table and answer the questions that follow.
Saplings planted by five villages, in two successive years Village Year 1 Year 2 Village P 420 483 Village Q 460 552 Village R 780 624 Village S 240 192 Village T 360 378 -
Village P’s Year 2 figure is what percent of Village Q’s Year 2 figure?
Answer and working
Answer D
483 ÷ 552 × 100 = 87.5%.
-
What is the ratio of Village Q’s Year 1 figure to Village P’s Year 2 figure?
Answer and working
Answer A
460 : 483 = 20 : 21.
-
What is the total for Village T over the two years?
Answer and working
Answer D
360 + 378 = 738.
-
What is the average Year 2 figure of the five?
Answer and working
Answer A
Sum of Year 2 = 2,229. ÷ 5 = 445.8.
-
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer B
Growth: Village P 15%, Village Q 20%, Village R −20%, Village S −20%, Village T 5%. The highest is Village Q.
-
Solve both equations and compare x and y.
I. x² + 5x + 4 = 0
II. y² + 3y − 4 = 0Answer and working
Answer E
I gives x = −4 or −1. II gives y = −4 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 25%. What is his profit or loss percent?
Answer and working
Answer B
Take CP = 100. Marked price = 120. After 25% off: 120 × 75/100 = 90. So 10% loss.
-
Solve both equations and compare x and y.
I. x² + 2x − 15 = 0
II. y² + 12y + 27 = 0Answer and working
Answer E
I gives x = −5 or 3. II gives y = −9 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.
-
A train 110 m long crosses a platform 190 m long in 15 seconds. What is the speed of the train?
Answer and working
Answer A
It must cover its own length and the platform: 110 + 190 = 300 m in 15 s, so 20 m/s = 20 × 18/5 = 72 km/h.
-
What is the value of 85² − 28²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 113 × 57 = 6,441.
-
Solve both equations and compare x and y.
I. x² + 6x + 8 = 0
II. y² − 15y + 50 = 0Answer and working
Answer C
I gives x = −4 or −2. II gives y = 5 or 10. Every x is smaller than every y: x < y.
-
Which number replaces the question mark? 2, 5, 10, 17, 26, 37, ?
Answer and working
Answer B
The rule: the differences grow by 2: 3, 5, 7, 9, 11, 13. The missing term is 50.
-
In what ratio must rice at ₹30/kg be mixed with rice at ₹42/kg so that the mixture is worth ₹32/kg?
Answer and working
Answer E
By alligation: cheaper : dearer = (42 − 32) : (32 − 30) = 10 : 2 = 5 : 1.
-
A train 290 m long crosses a platform 190 m long in 32 seconds. What is the speed of the train?
Answer and working
Answer D
It must cover its own length and the platform: 290 + 190 = 480 m in 32 s, so 15 m/s = 15 × 18/5 = 54 km/h.
-
A boat covers 33 km downstream in 3 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water?
Answer and working
Answer E
Downstream speed = 33 ÷ 3 = 11 km/h; upstream = 18 ÷ 2 = 9 km/h. Boat = (11 + 9) ÷ 2 = 10 km/h.
-
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.
-
Solve both equations and compare x and y.
I. x² − 2x − 35 = 0
II. y² − 4y − 5 = 0Answer and working
Answer E
I gives x = −5 or 7. II gives y = −1 or 5. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
-
An article bought for ₹1,675 is sold at a profit of 12%. What is its selling price?
Answer and working
Answer B
SP = CP × (100 + profit%)/100 = 1,675 × 112/100 = ₹1,876.
-
What is √729 + √196 − √529?
Answer and working
Answer A
27 + 14 − 23 = 18.
-
Find the wrong number in the series: 4, 11, 25, 53, 109, 227, 445
Answer and working
Answer E
The rule: each term is the previous × 2 + 3. The term in place of 227 should be 221, so the wrong number is 227.
-
What is √144 + √676 − √900?
Answer and working
Answer A
12 + 26 − 30 = 8.
-
Simplify: 1⁄2 + 3⁄4 + 4⁄5
Answer and working
Answer C
Over the common denominator 60: the sum is 41⁄20. Adding tops and bottoms separately (14/19) is the trap.
-
Ramesh can finish a piece of work in 70 days and Suresh can finish it in 28 days. Working together, how long will they take?
Answer and working
Answer A
In one day they do 1/70 + 1/28 = 1/20 of the work. Time = 70 × 28 ÷ (70 + 28) = 20 days.
-
Solve both equations and compare x and y.
I. x² + 6x + 5 = 0
II. y² + 8y − 9 = 0Answer and working
Answer E
I gives x = −5 or −1. II gives y = −9 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 present ages of Asha and her father are in the ratio 5 : 9. After 3 years, the ratio will be 7 : 12. What is Asha’s present age?
Answer and working
Answer D
Ages 5x and 9x. (5x + 3) : (9x + 3) = 7 : 12 gives x = 5. Asha is 5 × 5 = 25 years.
-
The fare for a journey goes from ₹880 to ₹792. What is the percentage decrease?
Answer and working
Answer E
Change = ₹88. On the original value: 88 ÷ 880 × 100 = 10%, a 10% decrease. Dividing by the new value, 792, is the usual slip.
-
Solve both equations and compare x and y.
I. x² + 6x − 7 = 0
II. y² − y − 2 = 0Answer and working
Answer E
I gives x = −7 or 1. II gives y = −1 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.
-
Which number replaces the question mark? 59, 61, 67, 71, 73, 79, ?
Answer and working
Answer C
The rule: consecutive prime numbers. The missing term is 83.
-
A shopkeeper marks his goods 30% above the cost price and allows a discount of 15%. What is his profit or loss percent?
Answer and working
Answer D
Take CP = 100. Marked price = 130. After 15% off: 130 × 85/100 = 110.5. So 10.5% profit.
-
What is the value of 82² − 34²?
Answer and working
Answer B
a² − b² = (a + b)(a − b) = 116 × 48 = 5,568.
-
Solve both equations and compare x and y.
I. x² − 7x − 30 = 0
II. y² − 7y − 44 = 0Answer and working
Answer E
I gives x = −3 or 10. II gives y = −4 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.
-
What is 12.5% of 720?
Answer and working
Answer A
12.5% of 720 = 720 × 12.5/100 = 90.
-
Which number replaces the question mark? 2, 3, ?, 27, 112, 565
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 8.
-
A sum of money becomes three times itself in 10 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer C
The interest earned is 2 times the principal in 10 years. Rate = 2 × 100 / 10 = 20%.
-
What is the fourth proportional to 5, 6 and 150?
Answer and working
Answer A
5 : 6 = 150 : x, so x = 6 × 150 ÷ 5 = 180.
-
Simplify: 82 + 9 × 6 − 32 ÷ 8
Answer and working
Answer A
Division and multiplication first: 9 × 6 = 54 and 32 ÷ 8 = 4. Then 82 + 54 − 4 = 132.