- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 6499381
- Series
- D
IBPS RRB PO (Officer Scale-I) Prelims Paper 8
- 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
-
Pointing to a man in a photograph, Imran said, ‘His father is the only son of my father.’ How is the man related to Imran?
Answer and working
Answer E
The only son of my father is me, so I am the father. So the man is Imran’s son.
-
Statements:
(1) No tables are stones.
(2) Some fans are stones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some tables are not fans.
(II) Some stones are fans.Answer and working
Answer B
Conclusion I need not hold: every one of the tables may be fans. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statements:
(1) Some books are roads.
(2) Some books are flowers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some books are not flowers.
(II) All books are flowers.Answer and working
Answer C
Conclusion I need not hold: every one of the books may be flowers. Conclusion II need not hold: some books may lie outside flowers. 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 class, Kabir ranks 17th from the top and 15th from the bottom. How many students are in the class?
Answer and working
Answer B
Kabir is counted in both ranks, so the total is 17 + 15 − 1 = 31.
-
Pointing to a woman in a photograph, Sunil said, ‘She is the only daughter of my father’s mother.’ How is the woman related to Sunil?
Answer and working
Answer C
My father’s mother’s only daughter is my father’s sister. So the woman is Sunil’s aunt.
-
Which one does not belong with the others?
Answer and working
Answer A
In the others the second number is n² of the first; 8 : 66 breaks it. The odd one is 8 : 66.
-
Statement: C < H > J < F ≥ G
Conclusions: I. F ≤ C II. J = GAnswer and working
Answer D
F and C: the signs between them point both ways, so no relation can be fixed, so F ≤ C is not definitely true. J and G: the signs between them point both ways, so no relation can be fixed, so J = G is not definitely true. So: Neither conclusion follows.
-
In a certain code, TABLE is written as GZYOV. How is PLANT written in that code?
Answer and working
Answer A
From TABLE → GZYOV: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to PLANT: KOZMG.
-
Manoj walks 9 km towards the east. He turns left and walks 15 km. He turns right and walks 8 km. Which direction is he facing now?
Answer and working
Answer E
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.
-
Lata walks 7 km towards the north. She turns right and walks 6 km. She turns left and walks 11 km. In which direction is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 6 km east and 18 km north of the start, which is to the North-east.
-
Sana walks 4 km towards the north. She turns right and walks 4 km. She turns left and walks 15 km. She turns left and walks 6 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 West.
-
Kabir walks 10 km towards the east. He turns left and walks 9 km. He turns left and walks 10 km. He turns left and walks 8 km. How far is he from the starting point in a straight line?
Answer and working
Answer A
Taking east and north as positive: he ends 0 km east and 1 km north of the start. Straight-line distance = √(0² + 1²) = 1 km.
-
In a certain code, OCEAN is written as MZDBN. How is WINDOW written in that code?
Answer and working
Answer E
From OCEAN → MZDBN: the word is written backwards and each letter moves 1 back. Applied to WINDOW: VNCMHV.
-
Statement: X = P ≤ U ≥ D ≤ J
Conclusions: I. X = U II. X < UAnswer and working
Answer C
X and U: the chain gives X ≤ U, so X = U is not definitely true. X and U: the chain gives X ≤ U, so X < U is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
N is the sister of V. P is the husband of N. How is P related to V?
Answer and working
Answer E
Follow the links out from V: N is V’s sister; P is N’s husband. So P is V’s brother-in-law.
-
Pointing to a woman in a photograph, Neha said, ‘Her mother is the only daughter of my mother.’ How is the woman related to Neha?
Answer and working
Answer C
The only daughter of my mother is me, so I am the mother. So the woman is Neha’s daughter.
-
Statements:
(1) All coins are kites.
(2) All kites are tables.
(3) All tables are phones.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some coins are tables.
(II) No coins are tables.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: coins and tables may overlap. So: Only conclusion I follows.
-
Statements:
(1) All birds are cups.
(2) No cups are books.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No birds are books.
(II) Some cups are books.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: cups and books need not overlap at all. So: Only conclusion I follows.
-
Statement: U > G > L ≥ W > Q
Conclusions: I. Q = G II. G ≥ QAnswer and working
Answer B
Q and G: the chain gives Q < G, so Q = G is not definitely true. G and Q: the chain gives G > Q, so G ≥ Q is definitely true. So: Only conclusion II follows.
-
In the English alphabet, which letter is 3rd to the left of the 19th letter from the right?
Answer and working
Answer E
The 19th letter from the right is H (position 8). 3 places to the left: position 5, which is E.
-
Find the wrong number in the series: 14, 18, 27, 43, 71, 104, 153
Answer and working
Answer E
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The term in place of 71 should be 68, so the wrong number is 71.
Directions for questions 22 to 26
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Esha sits second to the left of Bina. Divya sits immediately to the left of Chetan. Exactly 2 people sit between Arun and Gopal. Esha sits second to the right of Divya. Gopal and Farhan sit next to each other.-
Which pair sits at the two ends of the row?
Answer and working
Answer A
Only one order fits every clue, from the left: Divya, Chetan, Esha, Arun, Bina, Farhan, Gopal. Divya and Gopal.
-
Who sits exactly between Esha and Bina?
Answer and working
Answer E
Only one order fits every clue, from the left: Divya, Chetan, Esha, Arun, Bina, Farhan, Gopal. Arun.
-
How many people sit between Esha and Arun?
Answer and working
Answer A
Only one order fits every clue, from the left: Divya, Chetan, Esha, Arun, Bina, Farhan, Gopal. Between them: None.
-
Who sits at the extreme left end?
Answer and working
Answer B
Only one order fits every clue, from the left: Divya, Chetan, Esha, Arun, Bina, Farhan, Gopal. Divya.
-
What is Farhan’s position from the left end?
Answer and working
Answer D
Only one order fits every clue, from the left: Divya, Chetan, Esha, Arun, Bina, Farhan, Gopal. 6th.
-
Statements:
(1) No leaves are phones.
(2) Some books are leaves.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some leaves are books.
(II) No phones are books.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: phones and books may overlap. So: Only conclusion I follows.
-
In the English alphabet, which letter is 3rd to the left of the 6th letter from the left?
Answer and working
Answer C
The 6th letter from the left is F (position 6). 3 places to the left: position 3, which is C.
-
Statement: G = Z = E ≤ J = P
Conclusions: I. P = G II. P > GAnswer and working
Answer C
P and G: the chain gives P ≥ G, so P = G is not definitely true. P and G: the chain gives P ≥ G, so P > G is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.
-
Statement: G = D ≥ C > L > S
Conclusions: I. C > G II. S < GAnswer and working
Answer B
C and G: the chain gives C ≤ G, so C > G is not definitely true. S and G: the chain gives S < G, so S < G is definitely true. So: Only conclusion II follows.
-
In a certain code, MANGO is written as KYLEM. How is DOOR written in that code?
Answer and working
Answer E
From MANGO → KYLEM: each letter moves 2 places back. Applied to DOOR: BMMP.
-
In a certain code, CHALK is written as 35. How is RAIN written in that code?
Answer and working
Answer B
CHALK = 35 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For RAIN: 18 + 1 + 9 + 14 = 42.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 26 ÷ 12 + 7 − 7 × 5?
Answer and working
Answer C
Replace the signs: 26 − 12 × 7 ÷ 7 + 5. Division and multiplication first, then addition and subtraction: 19.
-
Statement: J ≤ N < A < L > F
Conclusions: I. J < A II. L ≥ NAnswer and working
Answer E
J and A: the chain gives J < A, so J < A is definitely true. L and N: the chain gives L > N, so L ≥ N is definitely true. So: Both conclusions follow.
-
Statements:
(1) Some kites are not flowers.
(2) All watches are flowers.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No kites are watches.
(II) All watches are kites.Answer and working
Answer D
Conclusion I need not hold: kites and watches may overlap. Conclusion II need not hold: some watches may lie outside kites. So: Neither conclusion follows.
-
Which number replaces the question mark? 6, 7, ?, 51, 208, 1,045
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 16.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 30 ÷ 9 + 9 × 14 − 4?
Answer and working
Answer B
Replace the signs: 30 − 9 ÷ 9 + 14 × 4. Division and multiplication first, then addition and subtraction: 85.
-
Statements:
(1) All birds are lamps.
(2) All pens are lamps.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some birds are not lamps.
(II) No lamps are pens.Answer and working
Answer D
Conclusion I need not hold: every one of the birds may be lamps. Conclusion II need not hold: lamps and pens may overlap. So: Neither conclusion follows.
-
In a certain code, SISTER is written as HRHGVI. How is PAPER written in that code?
Answer and working
Answer B
From SISTER → HRHGVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to PAPER: KZKVI.
-
In a class, Vikram ranks 8th from the top and 28th from the bottom. How many students are in the class?
Answer and working
Answer A
Vikram is counted in both ranks, so the total is 8 + 28 − 1 = 35.
Part BQuantitative Aptitude
-
Which number replaces the question mark? 65, 126, ?, 344, 513, 730
Answer and working
Answer B
The rule: the terms are 4³, 5³, 6³ … plus 1. The missing term is 217.
-
Two successive discounts of 30% and 20% are equal to a single discount of:
Answer and working
Answer B
Single discount = 30 + 20 − (30 × 20)/100 = 44%. The second discount is taken on the already reduced price, so the two do not simply add.
-
A train 180 m long passes a signal post in 6 seconds. What is its speed in km/h?
Answer and working
Answer A
Speed = 180 ÷ 6 = 30 m/s = 30 × 18/5 = 108 km/h.
-
Solve both equations and compare x and y.
I. x² + 10x + 9 = 0
II. y² − 8y + 7 = 0Answer and working
Answer C
I gives x = −9 or −1. II gives y = 1 or 7. Every x is smaller than every y: x < y.
-
Simplify: 2⁄3 + 1⁄2 + 1⁄5
Answer and working
Answer D
Over the common denominator 30: the sum is 41⁄30. Adding tops and bottoms separately (5/15) is the trap.
-
A number is first increased by 50% and then decreased by 10%. What is the net change?
Answer and working
Answer C
Net effect = 50 − 10 − (50 × 10)/100 = 35%, so 35% increase.
-
Three fair coins are tossed. What is the probability of getting at least two heads?
Answer and working
Answer A
Of the 8 equally likely outcomes, 4 qualify. Probability = 1⁄2.
-
What is the value of 53² − 34²?
Answer and working
Answer E
a² − b² = (a + b)(a − b) = 87 × 19 = 1,653.
-
Solve both equations and compare x and y.
I. x² − x − 72 = 0
II. y² − 12y + 11 = 0Answer and working
Answer E
I gives x = −8 or 9. 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.
-
The sum of the present ages of a father and his son is 44 years. 4 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 (44 − s − 4) = 5(s − 4), so 60 = 6s and s = 10 years.
-
Which number replaces the question mark? 8, 27, 64, 125, 216, ?
Answer and working
Answer D
The rule: the terms are 2³, 3³, 4³ …. The missing term is 343.
-
Which number replaces the question mark? 27, 64, 125, 216, 343, ?
Answer and working
Answer E
The rule: the terms are 3³, 4³, 5³ …. The missing term is 512.
-
Which number replaces the question mark? 29, 30, 35, 44, 57, ?
Answer and working
Answer B
The rule: the differences grow by 4: 1, 5, 9, 13, 17, 21. The missing term is 74.
-
What is √484 + √576 − √400?
Answer and working
Answer A
22 + 24 − 20 = 26.
-
Solve both equations and compare x and y.
I. x² − 5x − 6 = 0
II. y² − 6y + 5 = 0Answer and working
Answer E
I gives x = −1 or 6. 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.
-
Solve both equations and compare x and y.
I. x² + 11x + 24 = 0
II. y² − 11y + 18 = 0Answer and working
Answer C
I gives x = −8 or −3. II gives y = 2 or 9. Every x is smaller than every y: x < y.
-
16 litres of a mixture contains milk and water in the ratio 5 : 3. How much water must be added to make the ratio 5 : 6?
Answer and working
Answer D
Milk = 10 l, water = 6 l. For 5 : 6, water must be 10 × 6/5 = 12 l. Add 12 − 6 = 6 litres.
-
A is twice as efficient as B. Together they finish a job in 18 days. How long would A take alone?
Answer and working
Answer A
If B does 1 unit a day, A does 2; together 3 units a day for 18 days = 54 units. A alone: 54 ÷ 2 = 27 days.
-
If A : B = 7 : 4 and B : C = 3 : 2, what is A : B : C?
Answer and working
Answer B
Make B the same in both: A : B = 21 : 12 and B : C = 12 : 8. So A : B : C = 21 : 12 : 8.
-
88 is what percent of 2,200?
Answer and working
Answer D
88 ÷ 2,200 × 100 = 4%.
-
Solve both equations and compare x and y.
I. x² + 12x + 27 = 0
II. y² − 8y + 7 = 0Answer and working
Answer C
I gives x = −9 or −3. II gives y = 1 or 7. Every x is smaller than every y: x < y.
-
A shopkeeper marks an article 20% above its cost price and allows a discount of 15%. If the article was sold for ₹1,938, what was its cost price?
Answer and working
Answer B
SP = CP × 1.2 × 0.85 = CP × 1.02. So CP = 1,938 ÷ 1.02 = ₹1,900.
-
What is √196 + √225 − √441?
Answer and working
Answer C
14 + 15 − 21 = 8.
-
A sum of money doubles itself in 16 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer D
The interest earned is 1 times the principal in 16 years. Rate = 1 × 100 / 16 = 6.25%.
-
What is the difference between the compound interest and the simple interest on ₹28,375 for 2 years at 20% per annum?
Answer and working
Answer A
For 2 years, CI − SI = P × (R/100)² = 28,375 × (20/100)² = ₹1,135.
-
Solve both equations and compare x and y.
I. x² − 15x + 56 = 0
II. y² − 18y + 77 = 0Answer and working
Answer E
I gives x = 7 or 8. 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.
-
A boat covers 72 km downstream in 4 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water?
Answer and working
Answer B
Downstream speed = 72 ÷ 4 = 18 km/h; upstream = 40 ÷ 5 = 8 km/h. Boat = (18 + 8) ÷ 2 = 13 km/h.
-
Find the wrong number in the series: 7, 23, 71, 215, 650, 1,943, 5,831
Answer and working
Answer B
The rule: each term is the previous × 3 + 2. The term in place of 650 should be 647, so the wrong number is 650.
-
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 = 2 or 4. II gives y = 5 or 10. Every x is smaller than every y: x < y.
-
Which number replaces the question mark? 1, 2, ?, 21, 88, 445
Answer and working
Answer D
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 6.
Directions for questions 71 to 75
Study the table and answer the questions that follow.
Students enrolled in five coaching centres, in two successive years Centre Year 1 Year 2 Centre A 760 684 Centre B 760 836 Centre C 800 640 Centre D 480 384 Centre E 780 1,014 -
Which one grew the most in percentage terms from Year 1 to Year 2?
Answer and working
Answer A
Growth: Centre A −10%, Centre B 10%, Centre C −20%, Centre D −20%, Centre E 30%. The highest is Centre E.
-
Centre E’s Year 2 figure is what percent of Centre C’s Year 2 figure?
Answer and working
Answer D
1,014 ÷ 640 × 100 = 158.44%.
-
What is the total for Centre D over the two years?
Answer and working
Answer A
480 + 384 = 864.
-
What is the ratio of Centre D’s Year 1 figure to Centre B’s Year 2 figure?
Answer and working
Answer A
480 : 836 = 120 : 209.
-
What is the average Year 2 figure of the five?
Answer and working
Answer D
Sum of Year 2 = 3,558. ÷ 5 = 711.6.
-
The average weight of 7 people goes up by 4 kg when a new person takes the place of one who weighs 56 kg. What does the new person weigh?
Answer and working
Answer D
The total rises by 7 × 4 = 28 kg, so the new person weighs 56 + 28 = 84 kg.
-
Simplify: 82 + 12 × 10 − 81 ÷ 9
Answer and working
Answer A
Division and multiplication first: 12 × 10 = 120 and 81 ÷ 9 = 9. Then 82 + 120 − 9 = 193.
-
A scooter runs at 36 km/h. What is its speed in metres per second?
Answer and working
Answer B
Multiply by 5/18: 36 × 5/18 = 10 m/s.
-
What is the value of 80² − 30²?
Answer and working
Answer C
a² − b² = (a + b)(a − b) = 110 × 50 = 5,500.
-
Two trains 220 m and 220 m long run on parallel tracks in opposite directions at 67 km/h and 77 km/h. How long do they take to cross each other?
Answer and working
Answer A
Relative speed = 67 + 77 = 144 km/h = 40 m/s. Distance = 220 + 220 = 440 m. Time = 440 ÷ 40 = 11 seconds.