Test booklet: प्रश्न पुस्तिका
Booklet No.: 6810835
Series: A

IBPS PO Prelims Paper 6

Questions: 100
Maximum marks: 100
Minutes allowed: 60

Instructions निर्देश

This booklet has 100 questions in 3 parts: A. English Language (30), B. Quantitative Aptitude (35), C. Reasoning Ability (35).
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. Marks per question are shown with each part. Negative marking differs by part, as in the notice. 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 BQuantitative Aptitude

35 questions, 0.86 marks each, 0.21 off for a wrong answer

A train 260 m long passes a signal post in 13 seconds. What is its speed in km/h?

Question 31 72 km/h 54 km/h 90 km/h 20 km/h 63 km/h

Answer and working
Answer A
Speed = 260 ÷ 13 = 20 m/s = 20 × 18/5 = 72 km/h.
Simplify: 71 + 15 × 4 − 16 ÷ 8

Question 32 342 41 137 133 129

Answer and working
Answer E
Division and multiplication first: 15 × 4 = 60 and 16 ÷ 8 = 2. Then 71 + 60 − 2 = 129.
A and B together can do a job in 21 days. A alone can do it in 30 days. In how many days can B alone do it?

Question 33 40 days 51 days 91 days 70 days 42 days

Answer and working
Answer D
B’s one day = 1/21 − 1/30 = 1/70. B alone takes 70 days.
Solve both equations and compare x and y.
I. x² + 4x = 0
II. y² − 6y + 5 = 0

Question 34 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer C
I gives x = −4 or 0. II gives y = 1 or 5. Every x is smaller than every y: x < y.
Solve both equations and compare x and y.
I. x² − 14x + 40 = 0
II. y² − 9y − 36 = 0

Question 35 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer E
I gives x = 4 or 10. II gives y = −3 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.
Simplify: ¹⁄₃ + ²⁄₃ + ³⁄₄

Question 36 ¹³⁄₂₂ ⁷⁄₅ 2 ³⁄₂ ⁷⁄₄

Answer and working
Answer E
Over the common denominator 12: the sum is ⁷⁄₄. Adding tops and bottoms separately (13/22) is the trap.
Solve both equations and compare x and y.
I. x² − 15x + 36 = 0
II. y² + 9y + 8 = 0

Question 37 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer A
I gives x = 3 or 12. II gives y = −8 or −1. Every x is greater than every y: x > y.
A bag holds 7 red, 5 blue and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both are red?

Question 38 ¹⁴⁄₇₅ ¹⁄₅ ⁴⁹⁄₂₂₅ ¹⁄₁₅ ⁷⁄₁₅

Answer and working
Answer B
Ways to pick 2 red: 21. Ways to pick any 2: 105. Probability = ¹⁄₅.
Simplify: 68 + 13 × 11 − 44 ÷ 4

Question 39 222 880 204 212 200

Answer and working
Answer E
Division and multiplication first: 13 × 11 = 143 and 44 ÷ 4 = 11. Then 68 + 143 − 11 = 200.
Which number replaces the question mark? 1, 4, 9, ?, 25, 36

Question 40 23 16 17 15 14

Answer and working
Answer B
The rule: the terms are 1², 2², 3² …. The missing term is 16.
What is the simple interest on ₹30,000 at 13% per annum for 5 years?

Question 41 ₹49,500 ₹19,500 ₹21,000 ₹3,900 ₹15,600

Answer and working
Answer B
SI = P × R × T / 100 = 30,000 × 13 × 5 / 100 = ₹19,500.
A shopkeeper marks his goods 20% above the cost price and allows a discount of 10%. What is his profit or loss percent?

Question 42 8% profit 30% profit 8% loss 10% profit 13% profit

Answer and working
Answer A
Take CP = 100. Marked price = 120. After 10% off: 120 × 90/100 = 108. So 8% profit.
A number is first increased by 20% and then decreased by 25%. What is the net change?

Question 43 10% decrease 5% decrease 10% increase No change 8% decrease

Answer and working
Answer A
Net effect = 20 − 25 − (20 × 25)/100 = −10%, so 10% decrease.
30 litres of a mixture contains milk and water in the ratio 2 : 1. How much water must be added to make the ratio 2 : 5?

Question 44 40 litres 38 litres 50 litres 42 litres 20 litres

Answer and working
Answer A
Milk = 20 l, water = 10 l. For 2 : 5, water must be 20 × 5/2 = 50 l. Add 50 − 10 = 40 litres.
₹60,000 amounts to ₹69,984 in 2 years at compound interest, compounded annually. What is the rate of interest?

Question 45 10% 16% 8% 6% 8.32%

Answer and working
Answer C
(1 + R/100)² = 69,984/60,000 = 1.1664, so 1 + R/100 = 1.08 and R = 8%. Dividing the interest equally between the years (simple interest) gives a wrong answer.
Which number replaces the question mark? 4, 8, 16, 32, ?, 128

Question 46 48 96 65 64 63

Answer and working
Answer D
The rule: each term is the previous × 2. The missing term is 64.
If A : B = 3 : 8 and B : C = 6 : 1, what is A : B : C?

Question 47 3 : 8 : 1 24 : 9 : 4 9 : 24 : 4 3 : 48 : 8 9 : 4 : 3

Answer and working
Answer C
Make B the same in both: A : B = 18 : 48 and B : C = 48 : 8. So A : B : C = 9 : 24 : 4.
A boat covers 38 km downstream in 2 hours and 90 km upstream in 6 hours. What is the speed of the boat in still water?

Question 48 19 km/h 17 km/h 34 km/h 2 km/h 18 km/h

Answer and working
Answer B
Downstream speed = 38 ÷ 2 = 19 km/h; upstream = 90 ÷ 6 = 15 km/h. Boat = (19 + 15) ÷ 2 = 17 km/h.
What is √441 + √900 − √289?

Question 49 35 8 34 36 32

Answer and working
Answer C
21 + 30 − 17 = 34.
An article bought for ₹500 is sold at a profit of 25%. What is its selling price?

Question 50 ₹525 ₹375 ₹125 ₹625 ₹650

Answer and working
Answer D
SP = CP × (100 + profit%)/100 = 500 × 125/100 = ₹625.
Which number replaces the question mark? 15, 19, 28, 44, 69, 105, ?

Question 51 141 155 203 153 154

Answer and working
Answer E
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 154.
Solve both equations and compare x and y.
I. x² + 3x − 18 = 0
II. y² + 8y + 12 = 0

Question 52 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer E
I gives x = −6 or 3. II gives y = −6 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.
The sum of the present ages of a father and his son is 76 years. 5 years ago, the father was 5 times as old as the son. How old is the son now?

Question 53 44 years 21 years 11 years 13 years 16 years

Answer and working
Answer E
Let the son be s. Then (76 − s − 5) = 5(s − 5), so 96 = 6s and s = 16 years.
What is the average of 32, 51, 98, 63 and 96?

Question 54 68 65 69 67 63

Answer and working
Answer A
Sum = 340. Average = 340 ÷ 5 = 68.
Directions for questions 55 to 59
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 280 392
Centre B 600 480
Centre C 480 552
Centre D 660 594
Centre E 760 912
By what percent did Centre A’s figure change from Year 1 to Year 2?

Question 55 28.57% increase 45% increase 40% increase 40% decrease 35% increase

Answer and working
Answer C
Change = 392 − 280 = 112. On Year 1: 112 ÷ 280 × 100 = 40% increase.
What is the average Year 2 figure of the five?

Question 56 556 571 586 576 596

Answer and working
Answer C
Sum of Year 2 = 2,930. ÷ 5 = 586.
Centre C’s Year 2 figure is what percent of Centre D’s Year 2 figure?

Question 57 92.93% 102.93% 82.93% 107.61% 72.73%

Answer and working
Answer A
552 ÷ 594 × 100 = 92.93%.
Which one grew the most in percentage terms from Year 1 to Year 2?

Question 58 Centre C Centre B Centre E Centre D Centre A

Answer and working
Answer E
Growth: Centre A 40%, Centre B −20%, Centre C 15%, Centre D −10%, Centre E 20%. The highest is Centre A.
What is the total for Centre E over the two years?

Question 59 1,692 1,672 1,652 1,312 1,824

Answer and working
Answer B
760 + 912 = 1,672.
Simplify: 77 + 6 × 2 − 35 ÷ 5

Question 60 159 87 96 82 26

Answer and working
Answer D
Division and multiplication first: 6 × 2 = 12 and 35 ÷ 5 = 7. Then 77 + 12 − 7 = 82.
Solve both equations and compare x and y.
I. x² − 5x = 0
II. y² − 16y + 60 = 0

Question 61 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer C
I gives x = 0 or 5. II gives y = 6 or 10. Every x is smaller than every y: x < y.
Which number replaces the question mark? 5, 9, 18, 34, 59, ?

Question 62 94 96 95 131 84

Answer and working
Answer C
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 95.
The fare for a journey goes from ₹440 to ₹660. What is the percentage increase?

Question 63 60% increase 33.33% increase 55% increase 50% increase 45% increase

Answer and working
Answer D
Change = ₹220. On the original value: 220 ÷ 440 × 100 = 50%, a 50% increase. Dividing by the new value, 660, is the usual slip.
Which number replaces the question mark? 6, 7, 16, 51, 208, ?

Question 64 1,046 1,044 1,045 365 1,882

Answer and working
Answer C
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 1,045.
A scooter runs at 90 km/h. What is its speed in metres per second?

Question 65 50 m/s 45 m/s 30 m/s 25 m/s 324 m/s

Answer and working
Answer D
Multiply by 5/18: 90 × 5/18 = 25 m/s.

IBPS PO Prelims Paper 6

Instructions निर्देश

Part AEnglish Language

Part BQuantitative Aptitude

Part CReasoning Ability

Centre	Year 1	Year 2
Centre A	280	392
Centre B	600	480
Centre C	480	552
Centre D	660	594
Centre E	760	912