Test booklet: प्रश्न पुस्तिका
Booklet No.: 1038154
Series: A

RBI Assistant Prelims Paper 2

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

Which number replaces the question mark? 17, 67, ?, 60, 21, 53

Question 31 117 21 18 20 19

Answer and working
Answer E
The rule: two series alternate: 17, 19, 21 … rising by 2, and 67, 60, 53 … falling by 7. The missing term is 19.
A bus goes from Pune to Nashik at 22 km/h and returns by the same road at 66 km/h. What is its average speed for the whole journey?

Question 32 35 km/h 31 km/h 44 km/h 48 km/h 33 km/h

Answer and working
Answer E
For equal distances, average speed = 2xy/(x + y) = 2 × 22 × 66 ÷ 88 = 33 km/h. The plain average, 44, ignores that the slower leg takes longer.
Directions for questions 33 to 37
Study the table and answer the questions that follow.
Books issued by five libraries, in two successive years
Library Year 1 Year 2
Library A 240 336
Library B 440 660
Library C 360 468
Library D 300 345
Library E 260 286
By what percent did Library D’s figure change from Year 1 to Year 2?

Question 33 15% increase 15% decrease 20% increase 13.04% increase 10% increase

Answer and working
Answer A
Change = 345 − 300 = 45. On Year 1: 45 ÷ 300 × 100 = 15% increase.
Library A’s Year 2 figure is what percent of Library B’s Year 2 figure?

Question 34 196.43% 54.55% 50.91% 60.91% 40.91%

Answer and working
Answer C
336 ÷ 660 × 100 = 50.91%.
What is the average Year 2 figure of the five?

Question 35 409 419 320 429 369.5

Answer and working
Answer B
Sum of Year 2 = 2,095. ÷ 5 = 419.
Which one grew the most in percentage terms from Year 1 to Year 2?

Question 36 Library E Library B Library C Library D Library A

Answer and working
Answer B
Growth: Library A 40%, Library B 50%, Library C 30%, Library D 15%, Library E 10%. The highest is Library B.
What is the ratio of Library C’s Year 1 figure to Library A’s Year 2 figure?

Question 37 14 : 15 39 : 28 3 : 2 15 : 14 39 : 20

Answer and working
Answer D
360 : 336 = 15 : 14.
What is √256 + √529 − √169?

Question 38 25 24 26 28 6

Answer and working
Answer C
16 + 23 − 13 = 26.
An article bought for ₹400 is sold at a profit of 5%. What is its selling price?

Question 39 ₹380 ₹440 ₹420 ₹20 ₹405

Answer and working
Answer C
SP = CP × (100 + profit%)/100 = 400 × 105/100 = ₹420.
The monthly rent of a shop goes from ₹140 to ₹175. What is the percentage increase?

Question 40 15% increase 25% increase 50% increase 20% increase 30% increase

Answer and working
Answer B
Change = ₹35. On the original value: 35 ÷ 140 × 100 = 25%, a 25% increase. Dividing by the new value, 175, is the usual slip.
₹3,740 is divided among Meera, Arjun and Kavya in the ratio 3 : 6 : 2. What is Meera’s share?

Question 41 ₹1,020 ₹2,040 ₹935 ₹1,247 ₹680

Answer and working
Answer A
Total parts = 3 + 6 + 2 = 11. Meera gets 3/11 × 3,740 = ₹1,020.
Solve both equations and compare x and y.
I. x² − 4x − 60 = 0
II. y² − 6y − 72 = 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 = −6 or 10. II gives y = −6 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.
What is the value of 79² − 18²?

Question 43 5,881 5,917 6,017 9,215 3,721

Answer and working
Answer B
a² − b² = (a + b)(a − b) = 97 × 61 = 5,917.
What is √529 + √256 − √576?

Question 44 17 31 14 15 13

Answer and working
Answer D
23 + 16 − 24 = 15.
What is the value of 57² − 41²?

Question 45 1,486 256 1,668 9,408 1,568

Answer and working
Answer E
a² − b² = (a + b)(a − b) = 98 × 16 = 1,568.
Find the wrong number in the series: 17, 26, 42, 67, 94, 152, 216

Question 46 17 42 26 216 94

Answer and working
Answer E
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The term in place of 94 should be 103, so the wrong number is 94.
Which number replaces the question mark? 0, 7, 26, 63, 124, ?

Question 47 216 214 185 306 215

Answer and working
Answer E
The rule: the terms are 1³, 2³, 3³ … minus 1. The missing term is 215.
Ramesh can finish a piece of work in 8 days and Suresh can finish it in 56 days. Working together, how long will they take?

Question 48 32 days 9 days 8 days 48 days 7 days

Answer and working
Answer E
In one day they do 1/8 + 1/56 = 1/7 of the work. Time = 8 × 56 ÷ (8 + 56) = 7 days.
One card is drawn at random from a well-shuffled pack of 52. What is the probability that it is a black card?

Question 49 ²⁷⁄₅₂ ¹⁄₄ ¹⁄₁₃ ²⁵⁄₅₂ ¹⁄₂

Answer and working
Answer E
26 of the 52 cards qualify. Probability = ¹⁄₂.
Which number replaces the question mark? 1, 4, ?, 16, 25, 36

Question 50 14 10 8 7 9

Answer and working
Answer E
The rule: the terms are 1², 2², 3² …. The missing term is 9.
Solve both equations and compare x and y.
I. x² − 5x − 36 = 0
II. y² − 13y + 12 = 0

Question 51 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 9. II gives y = 1 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.
What is the compound interest on ₹71,375 for 3 years at 20% per annum, compounded annually?

Question 52 ₹31,405 ₹42,825 ₹1,23,336 ₹51,961 ₹66,236

Answer and working
Answer D
Amount = 71,375 × (1 + 20/100)³ = ₹1,23,336. CI = 1,23,336 − 71,375 = ₹51,961.
Solve both equations and compare x and y.
I. x² + 9x + 18 = 0
II. y² − 16y + 48 = 0

Question 53 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer C
I gives x = −6 or −3. II gives y = 4 or 12. Every x is smaller than every y: x < y.
A sum of money at simple interest amounts to ₹37,200 in 2 years and to ₹48,000 in 5 years. What is the sum?

Question 54 ₹30,000 ₹33,600 ₹26,400 ₹30,250 ₹29,750

Answer and working
Answer A
Interest for 3 years = 48,000 − 37,200 = ₹10,800, so ₹3,600 a year. Interest for 2 years = ₹7,200. Sum = 37,200 − 7,200 = ₹30,000.
Simplify: 31 + 11 × 8 − 22 ÷ 2

Question 55 110 108 157 130 325

Answer and working
Answer B
Division and multiplication first: 11 × 8 = 88 and 22 ÷ 2 = 11. Then 31 + 88 − 11 = 108.
A boat covers 80 km downstream in 4 hours and 54 km upstream in 3 hours. What is the speed of the stream?

Question 56 2 km/h 4 km/h 19 km/h 1 km/h 3 km/h

Answer and working
Answer D
Downstream speed = 80 ÷ 4 = 20 km/h; upstream = 54 ÷ 3 = 18 km/h. Stream = (20 − 18) ÷ 2 = 1 km/h.
The population of a town is 58,800. It grows by 5% every year. What will it be after 2 years?

Question 57 61,740 64,827 64,680 63,206 66,448

Answer and working
Answer B
58,800 × (1 + 5/100)² = 58,800 × 1.1 = 64,827. Growing 5% on 58,800 twice, not 10% once.
Which number replaces the question mark? 5, 6, 10, 19, 35, 60, ?

Question 58 85 97 96 95 132

Answer and working
Answer C
The rule: the differences are squares: 1, 4, 9, 16, 25, 36. The missing term is 96.
The present ages of Asha and her elder brother are in the ratio 5 : 9. After 10 years, the ratio will be 5 : 7. What is Asha’s present age?

Question 59 18 years 10 years 12 years 20 years 8 years

Answer and working
Answer B
Ages 5x and 9x. (5x + 10) : (9x + 10) = 5 : 7 gives x = 2. Asha is 5 × 2 = 10 years.
Solve both equations and compare x and y.
I. x² − 9x + 8 = 0
II. y² + 10y + 16 = 0

Question 60 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer A
I gives x = 1 or 8. II gives y = −8 or −2. Every x is greater than every y: x > y.
A shopkeeper marks his goods 20% above the cost price and allows a discount of 25%. What is his profit or loss percent?

Question 61 45% profit 5% loss 10% loss 8% loss 10% profit

Answer and working
Answer C
Take CP = 100. Marked price = 120. After 25% off: 120 × 75/100 = 90. So 10% loss.
54 litres of a mixture contains milk and water in the ratio 5 : 1. How much water must be added to make the ratio 3 : 5?

Question 62 68 litres 66 litres 62 litres 33 litres 75 litres

Answer and working
Answer B
Milk = 45 l, water = 9 l. For 3 : 5, water must be 45 × 5/3 = 75 l. Add 75 − 9 = 66 litres.
Two trains 260 m and 190 m long run on parallel tracks in opposite directions at 53 km/h and 37 km/h. How long do they take to cross each other?

Question 63 20 seconds 17 seconds 36 seconds 18 seconds 65 seconds

Answer and working
Answer D
Relative speed = 53 + 37 = 90 km/h = 25 m/s. Distance = 260 + 190 = 450 m. Time = 450 ÷ 25 = 18 seconds.
Section A has 15 students with an average score of 45; section B has 24 students averaging 58. What is the average score of both sections together?

Question 64 53 52 58 54 57

Answer and working
Answer A
(15 × 45 + 24 × 58) ÷ 39 = 2067 ÷ 39 = 53. The plain mean of 45 and 58 ignores the sizes of the sections.
Solve both equations and compare x and y.
I. x² + x − 56 = 0
II. y² − 22y + 120 = 0

Question 65 x > y x ≥ y x < y x ≤ y x = y or no relation can be established

Answer and working
Answer C
I gives x = −8 or 7. II gives y = 10 or 12. Every x is smaller than every y: x < y.

RBI Assistant Prelims Paper 2

Instructions निर्देश

Part AEnglish Language

Part BNumerical Ability

Part CReasoning Ability

Library	Year 1	Year 2
Library A	240	336
Library B	440	660
Library C	360	468
Library D	300	345
Library E	260	286