Test booklet: प्रश्न पुस्तिका
Booklet No.: 6809772
Series: C

IBPS Clerk Prelims Paper 5

Questions: 100
Maximum marks: 100
Minutes allowed: 60

Instructions निर्देश

This booklet has 100 questions in 3 parts: A. English Language (30), B. Numerical Ability (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. 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 BNumerical Ability

35 questions, 1 mark each, 0.25 off for a wrong answer

What is the simple interest on ₹18,000 at 10% per annum for 4 years?

Question 31 ₹7,920 ₹25,200 ₹7,200 ₹1,800 ₹5,400

Answer and working
Answer C
SI = P × R × T / 100 = 18,000 × 10 × 4 / 100 = ₹7,200.
Solve both equations and compare x and y.
I. x² − 4x − 21 = 0
II. y² − 6y − 16 = 0

Question 32 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 7. II gives y = −2 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.
Simplify: ¹⁄₂ + ³⁄₄ + ³⁄₅

Question 33 ³⁷⁄₂₀ ⁹⁄₅ ³⁷⁄₂₁ ¹³⁄₂₀ ¹⁹⁄₁₀

Answer and working
Answer A
Over the common denominator 40: the sum is ³⁷⁄₂₀. Adding tops and bottoms separately (13/20) is the trap.
₹4,770 is divided among Meera, Arjun and Kavya in the ratio 5 : 7 : 6. What is Kavya’s share?

Question 34 ₹1,855 ₹1,060 ₹1,325 ₹1,590 ₹2,120

Answer and working
Answer D
Total parts = 5 + 7 + 6 = 18. Kavya gets 6/18 × 4,770 = ₹1,590.
Which number replaces the question mark? 20, 59, 23, 54, 26, 49, ?

Question 35 29 72 9 28 30

Answer and working
Answer A
The rule: two series alternate: 20, 23, 26 … rising by 3, and 59, 54, 49 … falling by 5. The missing term is 29.
A boat covers 26 km downstream in 2 hours and 36 km upstream in 4 hours. What is the speed of the stream?

Question 36 3 km/h 11 km/h 1 km/h 4 km/h 2 km/h

Answer and working
Answer E
Downstream speed = 26 ÷ 2 = 13 km/h; upstream = 36 ÷ 4 = 9 km/h. Stream = (13 − 9) ÷ 2 = 2 km/h.
₹70,000 amounts to ₹84,700 in 2 years at compound interest, compounded annually. What is the rate of interest?

Question 37 20% 10.5% 12% 10% 8%

Answer and working
Answer D
(1 + R/100)² = 84,700/70,000 = 1.21, so 1 + R/100 = 1.1 and R = 10%. Dividing the interest equally between the years (simple interest) gives a wrong answer.
Solve both equations and compare x and y.
I. x² − 8x + 12 = 0
II. y² − 7y − 60 = 0

Question 38 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 6. II gives y = −5 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.
A scooter runs at 90 km/h. What is its speed in metres per second?

Question 39 25 m/s 30 m/s 45 m/s 324 m/s 50 m/s

Answer and working
Answer A
Multiply by 5/18: 90 × 5/18 = 25 m/s.
Simplify: ¹⁄₄ + ¹⁄₂ + ¹⁄₁₀

Question 40 ⁹⁄₁₀ ¹⁷⁄₂₀ ⁴⁄₅ ³⁄₁₆ ¹⁷⁄₂₁

Answer and working
Answer B
Over the common denominator 20: the sum is ¹⁷⁄₂₀. Adding tops and bottoms separately (3/16) is the trap.
Directions for questions 41 to 45
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 380 304
Shop Q 660 594
Shop R 580 638
Shop S 420 336
Shop T 220 286
By what percent did Shop Q’s figure change from Year 1 to Year 2?

Question 41 10% decrease 15% decrease 10% increase 5% decrease 11.11% decrease

Answer and working
Answer A
Change = 594 − 660 = −66. On Year 1: −66 ÷ 660 × 100 = 10% decrease.
What is the average Year 2 figure of the five?

Question 42 441.8 421.6 452 431.6 441.6

Answer and working
Answer D
Sum of Year 2 = 2,158. ÷ 5 = 431.6.
What is the ratio of Shop T’s Year 1 figure to Shop P’s Year 2 figure?

Question 43 143 : 190 11 : 19 76 : 55 143 : 152 55 : 76

Answer and working
Answer E
220 : 304 = 55 : 76.
Shop S’s Year 2 figure is what percent of Shop R’s Year 2 figure?

Question 44 52.66% 72.41% 189.88% 62.66% 42.66%

Answer and working
Answer A
336 ÷ 638 × 100 = 52.66%.
What is the total for Shop T over the two years?

Question 45 572 814 526 506 486

Answer and working
Answer D
220 + 286 = 506.
Simplify: ¹⁄₂ + ¹⁄₄ + ¹⁄₅

Question 46 ¹⁹⁄₂₀ ¹⁹⁄₂₁ ⁹⁄₁₀ 1 ¹⁄₄

Answer and working
Answer A
Over the common denominator 20: the sum is ¹⁹⁄₂₀. Adding tops and bottoms separately (4/16) is the trap.
Solve both equations and compare x and y.
I. x² − 13x + 22 = 0
II. y² − 20y + 99 = 0

Question 47 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 11. II gives y = 9 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: 36, 49, 64, 83, 100, 121, 144

Question 48 49 100 36 83 64

Answer and working
Answer D
The rule: the terms are 6², 7², 8² …. The term in place of 83 should be 81, so the wrong number is 83.
Solve both equations and compare x and y.
I. x² − 8x − 48 = 0
II. y² + 16y + 63 = 0

Question 49 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer A
I gives x = −4 or 12. II gives y = −9 or −7. Every x is greater than every y: x > y.
In what ratio must rice at ₹30/kg be mixed with rice at ₹54/kg so that the mixture is worth ₹34/kg?

Question 50 1 : 5 6 : 5 5 : 1 1 : 6 5 : 9

Answer and working
Answer C
By alligation: cheaper : dearer = (54 − 34) : (34 − 30) = 20 : 4 = 5 : 1.
Three fair coins are tossed. What is the probability of getting exactly one head?

Question 51 ³⁄₈ ¹⁄₂ ¹⁄₃ ³⁄₄ ¹⁄₈

Answer and working
Answer A
Of the 8 equally likely outcomes, 3 qualify. Probability = ³⁄₈.
The population of a town is 14,250. It grows by 20% every year. What will it be after 2 years?

Question 52 21,033 17,100 24,624 20,520 19,950

Answer and working
Answer D
14,250 × (1 + 20/100)² = 14,250 × 1.44 = 20,520. Growing 20% on 14,250 twice, not 40% once.
Ramesh can finish a piece of work in 30 days and Suresh can finish it in 6 days. Working together, how long will they take?

Question 53 5 days 18 days 4 days 24 days 7 days

Answer and working
Answer A
In one day they do 1/30 + 1/6 = 1/5 of the work. Time = 30 × 6 ÷ (30 + 6) = 5 days.
Which number replaces the question mark? 11, 13, 17, 19, 23, 29, ?

Question 54 33 35 32 31 30

Answer and working
Answer D
The rule: consecutive prime numbers. The missing term is 31.
Simplify: 52 + 13 × 5 − 32 ÷ 8

Question 55 116 321 37 121 113

Answer and working
Answer E
Division and multiplication first: 13 × 5 = 65 and 32 ÷ 8 = 4. Then 52 + 65 − 4 = 113.
Find the wrong number in the series: 8, 10, 16, 26, 40, 59, 80

Question 56 40 8 80 59 16

Answer and working
Answer D
The rule: the differences grow by 4: 2, 6, 10, 14, 18, 22. The term in place of 59 should be 58, so the wrong number is 59.
The population of a town is 49,300. It grows by 10% every year. What will it be after 2 years?

Question 57 61,144 54,230 59,160 58,162 59,653

Answer and working
Answer E
49,300 × (1 + 10/100)² = 49,300 × 1.21 = 59,653. Growing 10% on 49,300 twice, not 20% once.
An article bought for ₹1,725 is sold at a profit of 20%. What is its selling price?

Question 58 ₹1,380 ₹2,095 ₹1,745 ₹2,070 ₹345

Answer and working
Answer D
SP = CP × (100 + profit%)/100 = 1,725 × 120/100 = ₹2,070.
Two successive discounts of 20% and 25% are equal to a single discount of:

Question 59 40% 42% 25% 42.5% 45%

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.
The present ages of Asha and her father are in the ratio 3 : 8. After 9 years, the ratio will be 4 : 9. What is Asha’s present age?

Question 60 72 years 27 years 18 years 36 years 29 years

Answer and working
Answer B
Ages 3x and 8x. (3x + 9) : (8x + 9) = 4 : 9 gives x = 9. Asha is 3 × 9 = 27 years.
The average weight of 10 people goes up by 1.5 kg when a new person takes the place of one who weighs 72 kg. What does the new person weigh?

Question 61 88.5 kg 87 kg 73.5 kg 57 kg 85.5 kg

Answer and working
Answer B
The total rises by 10 × 1.5 = 15 kg, so the new person weighs 72 + 15 = 87 kg.
Solve both equations and compare x and y.
I. x² − 21x + 108 = 0
II. y² + 12y + 32 = 0

Question 62 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 12. II gives y = −8 or −4. Every x is greater than every y: x > y.
What is √361 + √900 − √729?

Question 63 16 22 24 20 23

Answer and working
Answer B
19 + 30 − 27 = 22.
Which number replaces the question mark? 3, 6, 12, 24, 48, ?

Question 64 96 144 72 95 97

Answer and working
Answer A
The rule: each term is the previous × 2. The missing term is 96.
A scooter runs at 90 km/h. What is its speed in metres per second?

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

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

IBPS Clerk Prelims Paper 5

Instructions निर्देश

Part AEnglish Language

Part BNumerical Ability

Part CReasoning Ability

Shop	Year 1	Year 2
Shop P	380	304
Shop Q	660	594
Shop R	580	638
Shop S	420	336
Shop T	220	286