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RBI Grade B Officer · Topic Collection

Quantitative Aptitude PYQs

Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.

150 Total Questions5 Official PapersYears: 2017–2023Search in Quantitative Aptitude
Showing questions 41–60 of 150Page 3 of 8
RBI Grade B Officer Phase-I 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 41

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- Answer the given set of questions based on following information. A's monthly salary is 60% more than that of B. Both B and A, out of their respective monthly salary, pay equal sum towards EMI. Out of remaining monthly salary, A and B, spend a certain amount towards House rent. Amount that B pays towards EMI is 20% of her monthly salary. Amount that A pays towards House rent is X' times of that she pays towards EMI. Find total savings of A if her expenditure on EMI and house rent is just half of total salary. Also, EMI expanse of B is Rs 30000. It is to be assumed that A and B had only two expanses from their salaries i.e. EMI, House rent.

  1. AOption (a)

    Rs. 100000

  2. BOption (b)

    Rs. 150000

  3. COption (c)

    Rs. 125000

  4. DOption (d)

    Rs. 120000

  5. EOption (e)

    Rs. 122300

View answer & explanation

Correct answer

Answer: (d)D.

Rs. 120000

Why this answer is correct

Let the salary of B be 500a Then the salary of A = 800a EMI paid by each of A and B = 100a House rent given by A = 100ax Given that, Total salary of A is expenditure on EMI and house rent is just half of total salary i.e. 100a + 100ax = 400a From this equation it is clear that, 400a will come when 100ax = 300a, therefore x = 3 Also, EMI expense of B = 30000 30000 ≡ 100a a = 300 so, monthly income of A = 800a = 800×30 = 240000 EMI expense of A =100a = 30000 House rent of A =100ax=3000×3 = 90000 So Total savings of A = 240000 – (90000 + 30000) = Rs. 120000

RBI Grade B Officer Phase-I 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 42

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- Answer the given set of questions based on following information. A's monthly salary is 60% more than that of B. Both B and A, out of their respective monthly salary, pay equal sum towards EMI. Out of remaining monthly salary, A and B, spend a certain amount towards House rent. Amount that B pays towards EMI is 20% of her monthly salary. Amount that A pays towards House rent is X' times of that she pays towards EMI. Difference between house rents paid by A and B is Rs 20000. House rent paid by A is Rs. 8000 more than EMI paid by her. If house rent paid by B is 16.66% of EMI paid by A, then, salary of A can possibly be :

  1. AOption (a)

    Rs. 115200

  2. BOption (b)

    Rs. 105200

  3. COption (c)

    Rs. 115000

  4. DOption (d)

    Rs. 115220

  5. EOption (e)

    Rs. 114200

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 115200

Why this answer is correct

Let the salary of B be 500a Then salary of A = 800a Let the EMI paid by A and B = 100a Then the house rent given by A = 100ax Let the house rent given by B = 100y given that, 100 (ax – y) = 20000-----(i) 100 (ax – a) = 8000-------(ii) Also given that, 100a/6 =100y a/6 = y----(iii) reducing equation (i) and (ii) we get, ax – y = 200 ------(iv) ax – a = 80------(v) putting the value y from equation (iii) in equation (iv) and solving the equation (iv) and (v) we get a – (a/6) = 120 or 5a/6 = 120 or a = 144 Therefore, salary of A = 800 × 144 = Rs. 115200

RBI Grade B Officer Phase-I 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 43

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Two friends A and B started the business together. A invested Rs. 2000 more than B. A left the business after 8 months. If annual profit is Rs.6800 and share of A is 400F, then find the investment of B. Note : 7F² = 472 - √576

  1. AOption (a)

    Rs. 6000

  2. BOption (b)

    Rs. 6500

  3. COption (c)

    Rs. 7000

  4. DOption (d)

    Rs. 7500

  5. EOption (e)

    Rs. 8500

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 6000

Why this answer is correct

7F² = 472 - √576 7F² = 472 - 24 7F² = 448 F² = 448/7 F = 8 Share of A = 400 × 8= 3200 Share of B = 6800 – 3200 = 3600 ((y+2000)×8) / (y×12) = 3200/3600 ((y+2000)×8) / (y×12) = 8/9 18y+36000 = 24y 6y = 36000 y = 6000 Rs.

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Question 44

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- Identify the wrong number (X) in this series and answer the question that follow: 2, 3, 7 , 22, 89, 445, 2677, 18740 Find the LCM of 25 and (x-400), if (x-400) < 0 , then consider absolute value for LCM.

  1. AOption (a)

    205

  2. BOption (b)

    125

  3. COption (c)

    225

  4. DOption (d)

    200

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

225

Why this answer is correct

Wrong term=445 correct term =446 LCM of 25 and (x-400) = LCM of 25 and (445-400), LCM of 25 and 45 = 225

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Question 45

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- There is a wrong number in this series: 229, 256, 320, 443, 661 P is the correct number in the place of wrong term Identify the correct statement from statement given below: I.P is divisible by 15. II. P + 4 is prime.

  1. AOption (a)

    both are correct

  2. BOption (b)

    both are incorrect

  3. COption (c)

    I is correct and II is incorrect

  4. DOption (d)

    I is incorrect and II is correct

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (d)D.

I is incorrect and II is correct

Why this answer is correct

P is the correct number which is equal to 445.

  1. P is divisible by 15? 445/15 => not divisible Statement 1st is incorrect
  2. P+4 is prime? P+4 => 445+4=> 449 449 is prime number. Statement 2nd is correct
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Question 46

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Marked price of an article is 1.45 times of cost price. Selling price is Rs. 1500.Find the discount percentage if profit percentage is 25%

  1. AOption (a)

    15.79%

  2. BOption (b)

    10.79%

  3. COption (c)

    19.79%

  4. DOption (d)

    23.79%

  5. EOption (e)

    13.79%

View answer & explanation

Correct answer

Answer: (e)E.

13.79%

Why this answer is correct

CP= 100, MRP= 145 , As Profit = 25% then SP= 125 Discount % = (MP-SP)/MP×100= (145 - 125) × 100/145 =2000/145 =400/29% = 13.79%

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Question 47

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

There are two jars A and B which contain mixture of milk and water. Jar A has 40 litre milk and 6 litres water while B has 78 litres mixture of milk and water in ratio of 10:3. These are mixed to form a new mixture in jar C that already contained 6 litres water. Find the approximate percentage of water in container C.

  1. AOption (a)

    23%

  2. BOption (b)

    30%

  3. COption (c)

    32%

  4. DOption (d)

    37%

  5. EOption (e)

    40%

View answer & explanation

Correct answer

Answer: (a)A.

23%

Why this answer is correct

In jar A: Milk 40, Water 6 In jar B: Milk 60, Water 18 (B has 78 litres mixture of milk and water in ratio of 10:3) In jar C: Water 6 In jar C: Total Milk 100, Total Water 30 Percentage of water in container C = (30/130)×100 = 23% approx.

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Question 48

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- There are two missing number series given below: Series I: 15, 17, 11, 23, P, 33 Series II: 400, Q, 300, 750, 2625, 11812.5 Find the value of (Q-2) ÷ P × 5

  1. AOption (a)

    300

  2. BOption (b)

    330

  3. COption (c)

    320

  4. DOption (d)

    340

  5. EOption (e)

    350

View answer & explanation

Correct answer

Answer: (b)B.

330

Why this answer is correct

P = 3 Q = 400 × 0.5 = 200 (Q-2) ÷ P × 5 = (200-2) ÷ 3 × 5 = (198/3) × 5 = 330

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Question 49

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- There are two missing number series given below: Series I: 15, 17, 11, 23, P, 33 Series II: 400, Q, 300, 750, 2625, 11812.5 If R is a composite number such that 14 < R < 18, Then, What can be the possible value of P+R from the below mentioned numbers:

  1. 18
  2. 19
  3. 20
  1. AOption (a)

    Only 2

  2. BOption (b)

    Only 1 and 2

  3. COption (c)

    Only 2 and 3

  4. DOption (d)

    Only 1 and 3

  5. EOption (e)

    Only 3

View answer & explanation

Correct answer

Answer: (b)B.

Only 1 and 2

Why this answer is correct

If R is a composite number such that 14 < R < 18, Then R = 15,16 (17 is not composite No.) Then Possible value of P+R = 15+3= 18 P+R = 16+3= 19 So, only 1 and 2 are the possible values of (P + R)

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Question 50

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Rs.13000 was invested for 2 years in scheme A which offers compound interest at 10% per annum. What approximate interest at earned on investing the amount obtained from scheme A again in the same scheme for 2 years.

  1. AOption (a)

    Rs. 3303.30

  2. BOption (b)

    Rs. 3003.30

  3. COption (c)

    Rs. 3503.30

  4. DOption (d)

    Rs. 3703.30

  5. EOption (e)

    Rs. 3353.30

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 3303.30

Why this answer is correct

R= 10%, Time = 2 yr. (Compound interest) Total interest (Rate%) = 10+10+(10×10/100) =21% Amount obtained from scheme A = 13000 ×(121/100) Interest at earned on investing the amount obtained from scheme A again in the same scheme for 2 years = 13000 ×(121/100) × (21/100) = Rs. 3303.30

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Question 51

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Navya buys two article A and B at the same cost price Rs. P. Then, She markup both articles by 75% above their cost price. Then, she sold article A at Rs.268 discount and article B at 20% discount. Then, which of the following statement(s) is definitely correct? a) The profit earned by selling article B is greater than that by A. b) Discount percent given on article A is more than that in B. c) She earned equal profits by selling both the articles.

  1. AOption (a)

    Only 1

  2. BOption (b)

    Only 2

  3. COption (c)

    Only 3

  4. DOption (d)

    Only 1 and 2

  5. EOption (e)

    None of the above

View answer & explanation

Correct answer

Answer: (e)E.

None of the above

Why this answer is correct

  1. We cannot compare profit on article A & B as we don’t know the value of P.
  2. We cannot compare discount on article A & B as we don’t know the value of P.
  3. We cannot compare profit on article A & B as we don’t know the value of P.
RBI Grade B Officer Phase-I 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 52

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

What is the distance between two points A and B (in km)? Which of the following statement (s) is sufficient to give the answer:

  1. Travelling at x kmph, time taken to cover 75% of the distance is 3 times more than that of remaining distance.
  2. Travelling at y kmph, time taken to cover 25%of the distance is 30 minutes.
  3. Travelling at (y-8) kmph, time taken to cover 75% of the distance is 1 hour 36 minutes.
  4. Travelling at 3y/4 kmph, time taken to cover entire distance is 2hr 40 minutes.
  1. AOption (a)

    Only 1 and 2

  2. BOption (b)

    Only 2 and 3

  3. COption (c)

    Only 3 and 4

  4. DOption (d)

    Only 2 and 3 or Only 3 and 4

  5. EOption (e)

    None of the above

View answer & explanation

Correct answer

Answer: (d)D.

Only 2 and 3 or Only 3 and 4

Explanation not yet available.
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Question 53

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- Answer the given set of questions based on following information 5 companies A, B, C, D and E manufacture bookshelves. Pie chart given below shows the distribution of total bookshelves manufactured by all 5 companies. Table here represents percentage distribution of total not sold bookshelves by all 5 companies.

CompanyPercentage
A3P%
B12%
C4P%
D20%
E40%

Note:

  1. x is 25 degrees less than that of B.

  2. Total Bookshelves manufactured by D is 585.

  3. Out of Total manufactured bookshelves by all companies, some bookshelves are sold.

  4. Find the value of {10P - (y/5) - (2x/5)}

  1. AOption (a)

    2

  2. BOption (b)

    0

  3. COption (c)

    3

  4. DOption (d)

    7

  5. EOption (e)

    1

View answer & explanation

Correct answer

Answer: (e)E.

1

Explanation not yet available.
RBI Grade B Officer Phase-I 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 54

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- Answer the given set of questions based on following information 5 companies A, B, C, D and E manufacture bookshelves. Pie chart given below shows the distribution of total bookshelves manufactured by all 5 companies. Table here represents percentage distribution of total not sold bookshelves by all 5 companies.

CompanyPercentage
A3P%
B12%
C4P%
D20%
E40%

Note:

  1. x is 25 degrees less than that of B.

  2. Total Bookshelves manufactured by D is 585.

  3. Out of Total manufactured bookshelves by all companies, some bookshelves are sold.

  4. Find the difference between number of unsold bookshelves of B and average number of sold bookshelves from D and E, it 500 bookshelves are unsold due to pandemic reasons.

  1. AOption (a)

    375

  2. BOption (b)

    305

  3. COption (c)

    370

  4. DOption (d)

    365

  5. EOption (e)

    475

View answer & explanation

Correct answer

Answer: (a)A.

375

Explanation not yet available.
RBI Grade B Officer Phase-I 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 55

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- Answer the given set of questions based on following information 5 companies A, B, C, D and E manufacture bookshelves. Pie chart given below shows the distribution of total bookshelves manufactured by all 5 companies. Table here represents percentage distribution of total not sold bookshelves by all 5 companies.

CompanyPercentage
A3P%
B12%
C4P%
D20%
E40%

Note:

  1. x is 25 degrees less than that of B.

  2. Total Bookshelves manufactured by D is 585.

  3. Out of Total manufactured bookshelves by all companies, some bookshelves are sold.

  4. Bookshelves sold by B is approximately what percent of bookshelves sold by E if it is given that 600 bookshelves are defective and not sold further.

  1. AOption (a)

    214%

  2. BOption (b)

    204%

  3. COption (c)

    211%

  4. DOption (d)

    114%

  5. EOption (e)

    210%

View answer & explanation

Correct answer

Answer: (a)A.

214%

Explanation not yet available.
RBI Grade B Officer Phase-I 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 56

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- Answer the given set of questions based on following information 5 companies A, B, C, D and E manufacture bookshelves. Pie chart given below shows the distribution of total bookshelves manufactured by all 5 companies. Table here represents percentage distribution of total not sold bookshelves by all 5 companies.

CompanyPercentage
A3P%
B12%
C4P%
D20%
E40%

Note:

  1. x is 25 degrees less than that of B.

  2. Total Bookshelves manufactured by D is 585.

  3. Out of Total manufactured bookshelves by all companies, some bookshelves are sold.

  4. Find the average number of unsold bookshelves by A, B and E shopkeepers if it is given that 1200 bookshelves are defective and remained unsold.

  1. AOption (a)

    256

  2. BOption (b)

    257

  3. COption (c)

    258

  4. DOption (d)

    266

  5. EOption (e)

    156

View answer & explanation

Correct answer

Answer: (a)A.

256

Explanation not yet available.
RBI Grade B Officer Phase-I 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 57

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- Answer the given set of questions based on following information 5 companies A, B, C, D and E manufacture bookshelves. Pie chart given below shows the distribution of total bookshelves manufactured by all 5 companies. Table here represents percentage distribution of total not sold bookshelves by all 5 companies.

CompanyPercentage
A3P%
B12%
C4P%
D20%
E40%

Note:

  1. x is 25 degrees less than that of B.

  2. Total Bookshelves manufactured by D is 585.

  3. Out of Total manufactured bookshelves by all companies, some bookshelves are sold.

  4. If cost of bookshelves sold by company D is Rs. 1200, then find the total amount earned by D when it is given that the number of unsold bookshelves is 1200.

  1. AOption (a)

    Rs. 4,14,000

  2. BOption (b)

    Rs. 4,11,000

  3. COption (c)

    Rs. 4,10,000

  4. DOption (d)

    Rs. 4,04,000

  5. EOption (e)

    Rs. 4,54,000

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 4,14,000

Explanation not yet available.
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Question 58

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

X goes out to shop on a rainy day. He travels at a speed of n km/hr when it‘s raining and at a speed of (n – 1) km/hr when it stops raining. If his average speed for the journey is 15.2 km/hr. Find the fraction of the distance which he covered while it was raining. Given, that n is an integer.

  1. AOption (a)

    1/4

  2. BOption (b)

    7/31

  3. COption (c)

    4/19

  4. DOption (d)

    2/13

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

4/19

Why this answer is correct

Let the time for which he travelled in rain be „a‟ hr and time for which he travelled when it stopped raining be „b‟ hr. Average speed = 15.2 km/hr Thus, n > 15.2 > n – 1 ∴ n > 15.2 or n < 16.2 As n is an integer, n = 16 km/hr. Now, X travels at a speed of 16 km/hr when its raining and at a speed of 15 km/hr when its not raining. Total distance travelled = 16a + 15b Total time taken = a + b = (16a + 15b)/(a + b) = 15.2 ⇒ 16a + 15b = 15.2a + 15.2b ⇒ 0.8a = 0.2b ⇒ b = 4a Total distance travelled = 16a + 60a = 76a Fraction of distance travelled in the rain = 16a/76a = 4/19

RBI Grade B Officer Phase-I 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 59

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- In each of the following questions, a question is followed by information given in three statements. You have to study the question along with the statement and decide the information given in which of the statements is necessary to answer the question. Three friends, Jack, Kim and Larry started a partnership business investing money in the ratio of 4:2:1 respectively for a period of 3 years. What is the amount received by Jack as his share profit? I. Total amount invested in the business in Rs.35,000 II. Profit earned at the end of 3 years is (2/5)th of the total investment. III. The average amount of profit earned per year is Rs.7,000.

  1. AOption (a)

    I or II or III

  2. BOption (b)

    Either III only or I and II together

  3. COption (c)

    Any two of the three

  4. DOption (d)

    All I, II and III are required

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

Either III only or I and II together

Why this answer is correct

From I and II: Total profit after 3 years= 35,000 x (2/5) = Rs. 14,000 Jack‟s profit = 14000 x (4/7) = Rs. 8000. From III: Total profit after 3 years = 7000 x 3 = Rs. 21,000 Jack‟s profit = 21000 x (4/7) = Rs. 12000 Hence either III alone or I and II is sufficient to answer the question.

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Question 60

RBI Grade B Officer 2022• Quantitative Aptitude• Quantitative Aptitude

Direction:- Read the statement carefully. Three cars A, B and C covered a total distance of 800 km in 16 hours. Speeds of A and B are in the ratio 4: 5 respectively. C covered total 375 km distance in 7.5 hours. Find the distance covered by B. Which of the following option alone is not sufficient to find the answer?

  1. AOption (a)

    Speed of car C is 60% more than that of speed of car B

  2. BOption (b)

    Speed of car C is 50 km/hr

  3. COption (c)

    Time taken by car B is 7 hours less than time taken by car A

  4. DOption (d)

    Speed of car A is 50 km/hr

  5. EOption (e)

    None of above

View answer & explanation

Correct answer

Answer: (b)B.

Speed of car C is 50 km/hr

Why this answer is correct

Let speed of car A and B is 4a km/hr and 5a km/hr respectively. Distance covered by car C = 375 km Then, distance covered by car A = 800 – distance covered by B & C = 800 – 375 –d = 425 - d Time taken by car C = 7.5 hours Speed of car C = 375/7.5 = 50 km/hr From option 1: Speed of car C is 60% more than that of speed of car B. Speed of car B = 45 x 100/160 = 29 km/hr (approx.) Then, speed of car A = 29 x 4/5 = 24 km/hr (approx.) As, we know found the speed of car A and B, we can also determine the distance covered by car B as well. Hence, this option alone is sufficient. From option 2: Speed of car C is 50 km/hr. From the above data, we cannot determine the distance covered by car B. Hence, this option alone is not sufficient. From option 3: Time taken by car B is 7 hours less than time taken by car A. Time taken by car A and B = 16 - 7.5 = 8.5 hours. Time taken by car A = (8.5 + 7)/2 = 7.75 hours. Time taken by car B = 8.5 - 7.75 = 0.75 hours. Then, 0.75 x 4a = 425 - d..(i) And, 7 x 5a = d...(ii) By dividing (i) by (ii), we will get the distance covered by B. Hence, this option alone is sufficient. From option 4: Speed of car A is 50 km/hr. Then, speed of car B = 50 x 5/4 = 62.5 km/hr. 16 - 7.5 = (425 - d)/50 + d/62.5. By the above equation, we can clearly see that we can find the value of distance. Hence, this option alone is sufficient. Hence by option 2 is not sufficient to find the answer.

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How should I prepare for Quantitative Aptitude in RBI Grade B Officer?

Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.