Test booklet: प्रश्न पुस्तिका
Booklet No.: 9944402
Series: A

IBPS PO Prelims Paper 7

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

Which number replaces the question mark? 27, 38, ?, 66, 83, 102

Question 31 50 64 52 49 51

Answer and working
Answer E
The rule: the terms are 5², 6², 7² … plus 2. The missing term is 51.
Solve both equations and compare x and y.
I. x² − 20x + 99 = 0
II. y² + 8y + 15 = 0

Question 32 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer A
I gives x = 9 or 11. II gives y = −5 or −3. Every x is greater than every y: x > y.
285 is what percent of 2,280?

Question 33 12.5% 87.5% 7.5% 25% 17.5%

Answer and working
Answer A
285 ÷ 2,280 × 100 = 12.5%.
A train 140 m long crosses a platform 100 m long in 8 seconds. What is the speed of the train?

Question 34 63 km/h 126 km/h 30 km/h 99 km/h 108 km/h

Answer and working
Answer E
It must cover its own length and the platform: 140 + 100 = 240 m in 8 s, so 30 m/s = 30 × 18/5 = 108 km/h.
Which number replaces the question mark? 4, 8, 16, 32, 64, ?

Question 35 128 96 129 192 127

Answer and working
Answer A
The rule: each term is the previous × 2. The missing term is 128.
Simplify: ¹⁄₃ + ³⁄₄ + ³⁄₄

Question 36 ⁵⁄₃ 2 ¹¹⁄₇ ¹³⁄₁₉ ¹¹⁄₆

Answer and working
Answer E
Over the common denominator 12: the sum is ¹¹⁄₆. Adding tops and bottoms separately (13/19) is the trap.
₹8,250 is divided among Ravi, Sunita and Imran in the ratio 6 : 3 : 2. What is Ravi’s share?

Question 37 ₹2,250 ₹4,500 ₹2,750 ₹1,500 ₹4,125

Answer and working
Answer B
Total parts = 6 + 3 + 2 = 11. Ravi gets 6/11 × 8,250 = ₹4,500.
Solve both equations and compare x and y.
I. x² − 6x − 16 = 0
II. y² − 18y + 80 = 0

Question 38 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer D
I gives x = −2 or 8. II gives y = 8 or 10. No x is greater than any y, and one value of each is equal: x ≤ y.
The population of a town is 53,975. It grows by 20% every year. What will it be after 2 years?

Question 39 64,770 79,667 77,724 75,565 73,838

Answer and working
Answer C
53,975 × (1 + 20/100)² = 53,975 × 1.44 = 77,724. Growing 20% on 53,975 twice, not 40% once.
Two successive discounts of 20% and 25% are equal to a single discount of:

Question 40 40% 45% 25% 42% 42.5%

Answer and working
Answer A
Single discount = 20 + 25 − (20 × 25)/100 = 40%. The second discount is taken on the already reduced price, so the two do not simply add.
Find the wrong number in the series: 16, 21, 30, 43, 51, 81, 106

Question 41 43 16 51 106 81

Answer and working
Answer C
The rule: the differences grow by 4: 5, 9, 13, 17, 21, 25. The term in place of 51 should be 60, so the wrong number is 51.
Solve both equations and compare x and y.
I. x² − 7x − 30 = 0
II. y² − 13y + 22 = 0

Question 42 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer E
I gives x = −3 or 10. II gives y = 2 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 is three times as efficient as B. Together they finish a job in 33 days. How long would A take alone?

Question 43 44 days 11 days 99 days 47 days 132 days

Answer and working
Answer A
If B does 1 unit a day, A does 3; together 4 units a day for 33 days = 132 units. A alone: 132 ÷ 3 = 44 days.
What is √900 + √676 − √324?

Question 44 22 40 38 36 35

Answer and working
Answer C
30 + 26 − 18 = 38.
Two fair dice are thrown together. What is the probability that the sum is 8?

Question 45 ¹⁄₆ ⁵⁄₁₂ ⁵⁄₆ ³¹⁄₃₆ ⁵⁄₃₆

Answer and working
Answer E
There are 36 equally likely outcomes and 5 of them qualify. Probability = ⁵⁄₃₆.
Simplify: 44 + 2 × 8 − 80 ÷ 8

Question 46 36 358 50 70 58

Answer and working
Answer C
Division and multiplication first: 2 × 8 = 16 and 80 ÷ 8 = 10. Then 44 + 16 − 10 = 50.
Simplify: 81 + 3 × 3 − 54 ÷ 6

Question 47 87 99 33 81 243

Answer and working
Answer D
Division and multiplication first: 3 × 3 = 9 and 54 ÷ 6 = 9. Then 81 + 9 − 9 = 81.
What is the average of 18, 68, 64, 88 and 32?

Question 48 56 53 55 54 64

Answer and working
Answer D
Sum = 270. Average = 270 ÷ 5 = 54.
A boat covers 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream?

Question 49 2 km/h 4 km/h 15 km/h 1 km/h 3 km/h

Answer and working
Answer A
Downstream speed = 85 ÷ 5 = 17 km/h; upstream = 65 ÷ 5 = 13 km/h. Stream = (17 − 13) ÷ 2 = 2 km/h.
A shopkeeper marks an article 50% above its cost price and allows a discount of 15%. If the article was sold for ₹2,040, what was its cost price?

Question 50 ₹1,326 ₹1,600 ₹2,400 ₹1,020 ₹1,360

Answer and working
Answer B
SP = CP × 1.5 × 0.85 = CP × 1.28. So CP = 2,040 ÷ 1.28 = ₹1,600.
Find the wrong number in the series: 8, 26, 80, 239, 728, 2,186, 6,560

Question 51 2,186 239 26 728 80

Answer and working
Answer B
The rule: each term is the previous × 3 + 2. The term in place of 239 should be 242, so the wrong number is 239.
The present ages of Asha and her elder brother are in the ratio 3 : 4. After 8 years, the ratio will be 7 : 8. What is Asha’s present age?

Question 52 2 years 14 years 8 years 18 years 6 years

Answer and working
Answer E
Ages 3x and 4x. (3x + 8) : (4x + 8) = 7 : 8 gives x = 2. Asha is 3 × 2 = 6 years.
Directions for questions 53 to 57
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 280 350
Centre B 540 567
Centre C 340 272
Centre D 800 1,200
Centre E 240 216
Centre B’s Year 2 figure is what percent of Centre D’s Year 2 figure?

Question 53 37.25% 67.5% 47.25% 57.25% 211.64%

Answer and working
Answer C
567 ÷ 1,200 × 100 = 47.25%.
By what percent did Centre B’s figure change from Year 1 to Year 2?

Question 54 0% increase 5% increase 4.76% increase 5% decrease 10% increase

Answer and working
Answer B
Change = 567 − 540 = 27. On Year 1: 27 ÷ 540 × 100 = 5% increase.
What is the average Year 2 figure of the five?

Question 55 480.5 531 521 440 511

Answer and working
Answer C
Sum of Year 2 = 2,605. ÷ 5 = 521.
Which one grew the most in percentage terms from Year 1 to Year 2?

Question 56 Centre B Centre A Centre E Centre C Centre D

Answer and working
Answer E
Growth: Centre A 25%, Centre B 5%, Centre C −20%, Centre D 50%, Centre E −10%. The highest is Centre D.
What is the ratio of Centre A’s Year 1 figure to Centre B’s Year 2 figure?

Question 57 14 : 27 35 : 54 50 : 81 81 : 40 40 : 81

Answer and working
Answer E
280 : 567 = 40 : 81.
Simplify: ¹⁄₂ + ²⁄₅ + ²⁄₃

Question 58 ⁷⁄₁₅ ⁴⁷⁄₃₁ ²³⁄₁₅ ⁸⁄₅ ⁴⁷⁄₃₀

Answer and working
Answer E
Over the common denominator 30: the sum is ⁴⁷⁄₃₀. Adding tops and bottoms separately (7/15) is the trap.
The simple interest on a sum for 3 years at 5% per annum is ₹1,725. What is the sum?

Question 59 ₹11,500 ₹259 ₹8,625 ₹9,775 ₹13,225

Answer and working
Answer A
P = SI × 100 / (R × T) = 1,725 × 100 / (5 × 3) = ₹11,500.
A scooter runs at 18 km/h. What is its speed in metres per second?

Question 60 9 m/s 35 m/s 5 m/s 15 m/s 10 m/s

Answer and working
Answer C
Multiply by 5/18: 18 × 5/18 = 5 m/s.
Solve both equations and compare x and y.
I. x² − 4 = 0
II. y² − 11y = 0

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

Answer and working
Answer E
I gives x = −2 or 2. II gives y = 0 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.
Find the wrong number in the series: 6, 16, 46, 140, 406, 1,216, 3,646

Question 62 406 1,216 6 46 140

Answer and working
Answer E
The rule: each term is the previous × 3 − 2. The term in place of 140 should be 136, so the wrong number is 140.
Solve both equations and compare x and y.
I. x² − 14x + 24 = 0
II. y² − 25 = 0

Question 63 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer E
I gives x = 2 or 12. II gives y = −5 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.
What is the compound interest on ₹29,975 for 2 years at 20% per annum, compounded annually?

Question 64 ₹13,189 ₹19,184 ₹5,995 ₹43,164 ₹11,990

Answer and working
Answer A
Amount = 29,975 × (1 + 20/100)² = ₹43,164. CI = 43,164 − 29,975 = ₹13,189.
In what ratio must rice at ₹28/kg be mixed with rice at ₹64/kg so that the mixture is worth ₹61/kg?

Question 65 12 : 1 1 : 11 7 : 16 11 : 12 11 : 1

Answer and working
Answer B
By alligation: cheaper : dearer = (64 − 61) : (61 − 28) = 3 : 33 = 1 : 11.

IBPS PO Prelims Paper 7

Instructions निर्देश

Part AEnglish Language

Part BQuantitative Aptitude

Part CReasoning Ability

Centre	Year 1	Year 2
Centre A	280	350
Centre B	540	567
Centre C	340	272
Centre D	800	1,200
Centre E	240	216