Test booklet: प्रश्न पुस्तिका
Booklet No.: 7090564
Series: D

RBI Assistant 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

Solve both equations and compare x and y.
I. x² + 7x + 12 = 0
II. y² − y − 6 = 0

Question 31 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 −3. II gives y = −2 or 3. Every x is smaller than every y: x < y.
Two successive discounts of 30% and 20% are equal to a single discount of:

Question 32 46% 30% 50% 47% 44%

Answer and working
Answer E
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.
Section A has 17 students with an average score of 80; section B has 34 students averaging 65. What is the average score of both sections together?

Question 33 80 71 72 70 69

Answer and working
Answer D
(17 × 80 + 34 × 65) ÷ 51 = 3570 ÷ 51 = 70. The plain mean of 80 and 65 ignores the sizes of the sections.
Solve both equations and compare x and y.
I. x² + 3x − 10 = 0
II. y² − 12y + 27 = 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 = −5 or 2. II gives y = 3 or 9. Every x is smaller than every y: x < y.
Solve both equations and compare x and y.
I. x² − 3x − 40 = 0
II. y² − 7y − 60 = 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 = −5 or 8. 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.
What is √361 + √729 − √784?

Question 36 19 16 17 18 20

Answer and working
Answer D
19 + 27 − 28 = 18.
Solve both equations and compare x and y.
I. x² + 4x − 45 = 0
II. y² + 3y − 18 = 0

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

Answer and working
Answer E
I gives x = −9 or 5. II gives y = −6 or 3. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.
A shopkeeper marks his goods 40% above the cost price and allows a discount of 10%. What is his profit or loss percent?

Question 38 26% profit 26% loss 31% profit 50% profit 30% profit

Answer and working
Answer A
Take CP = 100. Marked price = 140. After 10% off: 140 × 90/100 = 126. So 26% profit.
Which number replaces the question mark? 6, 7, 16, 51, 208, ?

Question 39 1,044 1,046 1,882 1,045 365

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 1,045.
In what ratio must rice at ₹45/kg be mixed with rice at ₹81/kg so that the mixture is worth ₹57/kg?

Question 40 3 : 2 1 : 2 5 : 9 2 : 1 1 : 3

Answer and working
Answer D
By alligation: cheaper : dearer = (81 − 57) : (57 − 45) = 24 : 12 = 2 : 1.
A school’s enrolment goes from 860 to 1,075. What is the percentage increase?

Question 41 30% increase 50% increase 15% increase 25% increase 20% increase

Answer and working
Answer D
Change = 215. On the original value: 215 ÷ 860 × 100 = 25%, a 25% increase. Dividing by the new value, 1,075, is the usual slip.
What is the difference between the compound interest and the simple interest on ₹54,375 for 2 years at 8% per annum?

Question 42 ₹696 ₹174 ₹348 ₹3,480 ₹4,350

Answer and working
Answer C
For 2 years, CI − SI = P × (R/100)² = 54,375 × (8/100)² = ₹348.
Which number replaces the question mark? 9, 57, ?, 51, 19, 45

Question 43 14 16 105 13 15

Answer and working
Answer A
The rule: two series alternate: 9, 14, 19 … rising by 5, and 57, 51, 45 … falling by 6. The missing term is 14.
What is the value of 87² − 29²?

Question 44 6,828 6,670 6,728 13,224 3,364

Answer and working
Answer C
a² − b² = (a + b)(a − b) = 116 × 58 = 6,728.
The present ages of Asha and her elder brother are in the ratio 7 : 8. After 9 years, the ratio will be 10 : 11. What is Asha’s present age?

Question 45 25 years 21 years 24 years 12 years 30 years

Answer and working
Answer B
Ages 7x and 8x. (7x + 9) : (8x + 9) = 10 : 11 gives x = 3. Asha is 7 × 3 = 21 years.
Simplify: 28 + 11 × 6 − 54 ÷ 6

Question 46 103 91 225 85 30

Answer and working
Answer D
Division and multiplication first: 11 × 6 = 66 and 54 ÷ 6 = 9. Then 28 + 66 − 9 = 85.
A sum of money becomes three times itself in 20 years at simple interest. What is the rate of interest per annum?

Question 47 12.5% 15% 5% 9.09% 10%

Answer and working
Answer E
The interest earned is 2 times the principal in 20 years. Rate = 2 × 100 / 20 = 10%.
Three fair coins are tossed. What is the probability of getting at least two heads?

Question 48 ¹⁄₈ ²⁄₃ ⁵⁄₈ ¹⁄₃ ¹⁄₂

Answer and working
Answer E
Of the 8 equally likely outcomes, 4 qualify. Probability = ¹⁄₂.
Simplify: ¹⁄₃ + ¹⁄₂ + ¹⁄₄

Question 49 ⁷⁄₆ ¹⁄₃ 1 ¹³⁄₁₂ ¹⁵⁄₁₃

Answer and working
Answer D
Over the common denominator 12: the sum is ¹³⁄₁₂. Adding tops and bottoms separately (3/9) is the trap.
Which number replaces the question mark? 3, 9, 27, 81, 243, ?

Question 50 728 730 1,215 729 405

Answer and working
Answer D
The rule: each term is the previous × 3. The missing term is 729.
Two trains 260 m and 180 m long run on parallel tracks in opposite directions at 86 km/h and 58 km/h. How long do they take to cross each other?

Question 51 40 seconds 22 seconds 11 seconds 13 seconds 12 seconds

Answer and working
Answer C
Relative speed = 86 + 58 = 144 km/h = 40 m/s. Distance = 260 + 180 = 440 m. Time = 440 ÷ 40 = 11 seconds.
A boat covers 84 km downstream in 4 hours and 54 km upstream in 6 hours. What is the speed of the boat in still water?

Question 52 21 km/h 16 km/h 6 km/h 30 km/h 15 km/h

Answer and working
Answer E
Downstream speed = 84 ÷ 4 = 21 km/h; upstream = 54 ÷ 6 = 9 km/h. Boat = (21 + 9) ÷ 2 = 15 km/h.
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 500 525
Centre B 780 1,170
Centre C 360 324
Centre D 640 896
Centre E 780 702
What is the ratio of Centre E’s Year 1 figure to Centre B’s Year 2 figure?

Question 53 3 : 2 3 : 5 9 : 10 2 : 3 1 : 1

Answer and working
Answer D
780 : 1,170 = 2 : 3.
Centre C’s Year 2 figure is what percent of Centre E’s Year 2 figure?

Question 54 46.15% 49.15% 36.15% 216.67% 56.15%

Answer and working
Answer A
324 ÷ 702 × 100 = 46.15%.
By what percent did Centre E’s figure change from Year 1 to Year 2?

Question 55 10% decrease 5% decrease 15% decrease 10% increase 11.11% decrease

Answer and working
Answer A
Change = 702 − 780 = −78. On Year 1: −78 ÷ 780 × 100 = 10% decrease.
What is the average Year 2 figure of the five?

Question 56 723.4 713.4 733.4 667.7 612

Answer and working
Answer A
Sum of Year 2 = 3,617. ÷ 5 = 723.4.
Which one grew the most in percentage terms from Year 1 to Year 2?

Question 57 Centre D Centre B Centre E Centre A Centre C

Answer and working
Answer B
Growth: Centre A 5%, Centre B 50%, Centre C −10%, Centre D 40%, Centre E −10%. The highest is Centre B.
Which number replaces the question mark? 4, 5, 12, 39, 160, ?

Question 58 806 804 1,450 281 805

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 805.
What is √289 + √256 − √676?

Question 59 27 7 5 1 9

Answer and working
Answer B
17 + 16 − 26 = 7.
Which number replaces the question mark? 26, 63, 124, 215, 342, ?

Question 60 680 469 511 510 512

Answer and working
Answer C
The rule: the terms are 3³, 4³, 5³ … minus 1. The missing term is 511.
Solve both equations and compare x and y.
I. x² − 17x + 66 = 0
II. y² − 6y − 55 = 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 = 6 or 11. II gives y = −5 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.
What is the fourth proportional to 15, 2 and 270?

Question 62 51 2,025 36 40 257

Answer and working
Answer C
15 : 2 = 270 : x, so x = 2 × 270 ÷ 15 = 36.
Ramesh can finish a piece of work in 72 days and Suresh can finish it in 9 days. Working together, how long will they take?

Question 63 7 days 9 days 8 days 10 days 63 days

Answer and working
Answer C
In one day they do 1/72 + 1/9 = 1/8 of the work. Time = 72 × 9 ÷ (72 + 9) = 8 days.
Two trains 290 m and 280 m long run on parallel tracks in opposite directions at 50 km/h and 58 km/h. How long do they take to cross each other?

Question 64 21 seconds 20 seconds 38 seconds 68 seconds 19 seconds

Answer and working
Answer E
Relative speed = 50 + 58 = 108 km/h = 30 m/s. Distance = 290 + 280 = 570 m. Time = 570 ÷ 30 = 19 seconds.
A number is first increased by 40% and then decreased by 40%. What is the net change?

Question 65 14% decrease No change 16% increase 20% decrease 16% decrease

Answer and working
Answer E
Net effect = 40 − 40 − (40 × 40)/100 = −16%, so 16% decrease.

RBI Assistant Prelims Paper 5

Instructions निर्देश

Part AEnglish Language

Part BNumerical Ability

Part CReasoning Ability

Centre	Year 1	Year 2
Centre A	500	525
Centre B	780	1,170
Centre C	360	324
Centre D	640	896
Centre E	780	702