The Banking Exams are now going to commence in August 2024 for this year’s recruitment cycle. These exams include IBPS RRB exams, IBPS Clerk & PO, SBI PO & Clerk, RBI Assistant, etc. The quantitative or numerical aptitude of all these exams covers a section of Arithmetic, which plays an important role in scoring good marks in this QA section and overall. Typically, prelims (phase I) have 35 (or 40- IBPS RRB exams) questions out of which approx 10-15 marks are from Arithmetic. We have compiled a set of essential arithmetic questions for bank exams 2024, with solutions.

## Arithmetic Questions for Bank Exams

Q1. **A drive out at 40 km/hr in the desert on a road and returns over the same road at 30 km/hr and takes less than 6 hours. Then find which of the following can be the possible value (s) of distance (distance is an integral value divisible by 8).**

I. 16 II. 24 III. 40 IV. 48 V.72

(a) Only III and IV

(b) Only I, II and III

(c) Only IV and V

(d) Only II and III

(e) None of these

Q2. **The ratio of quantity of milk to that of water in the mixture is 2: 5. When x lit of milk is added to the mixture, ratio of milk to water becomes 2: 3 and when 20 lit of water is further added to the mixture, ratio of milk to that of water becomes 1: 2. Find the value of x**?

(a) 20 lit

(b) 16 lit

(c) 18 lit

(d) 24 lit

(e) 12 lit

Q3. **Veer has two articles of the same cost price. He has sold both articles to Ayush at Rs 320 each. Ratio of profit % on first article (calculated on CP) to profit % on second article (calculated on SP) is 8: 5. Ayush sold the first article at Rs Z and earns a profit which is 20% less than profit earned by Veer on first article**?

(a) Rs 408

(b) Rs 436

(c) Rs 424

(d) Rs 416

(e) Rs 420

Q4**. Shivam alone can do a work in 12 days and Maanik alone can do it in 15 days. Both started the work together and after working for 4 days, Shivam left the work. After 2 more days, Veer joins Maanik and the whole work is completed in 2 days more than the time taken by Shivam and Maanik together to do that work. Find the time taken by Veer alone to do that work**?

(a) 36 days

(b) 24 days

(c) 30 days

(d) 27.5 days

(e) 20 days

Q5. **Amit lends Rs. 1725 at the beginning of a year at a certain rate of interest at SI. After 4 months, he lends a sum of Rs 1075 at a rate 7% more than the earlier rate of interest at SI. At the end of the year, if difference between the interest received from both the amounts is Rs 30.5 then, find the rate of interest at which second sum is invested**?

(a) 12%

(b) 13.5%

(c) 22.5%

(d) 17.5%

(e) 15%

Q6. **Amar invested a sum of Rs 2000 in a business with Akbar who invested Rs ‘X’. After 4 months, Anthony joined them with Rs ‘2X’. After another 4 months, Amar withdrew half of his investment while Anthony invested Rs ‘X+1000’ more. At the end of the year, Akbar got Rs 18000 out of total profit of Rs 60000. If Amar & Akbar re-entered into another partnership with Rs ‘X+2000’ & Rs ‘X-1000’ respectively then find profit ratio at end of year.**

(a) 3 : 2

(b) 5 : 2

(c) 5 : 4

(d) 4 : 1

(e) None of these

Q7. **A tank can be filled by 3 pipes A, B, C in 2, x, y hours respectively. Efficiency of filling pipes is same as that of emptying. Time taken by A (inlet) & C (outlet) to fill the tank is **** less than time taken by B (inlet) & C (outlet). If A, B act as outlet then the tank gets emptied in 72 minutes. Find time taken by B & C both as inlet to fill the tank. **

(a) 3 1/3 hours

(b) 1 3/7 hours

(c) 1 1/5 hours

(d) 2 5/7 hours

(e) 1 5/7 hours

Q8. **Inside a square plot a circular garden is developed which exactly fits in the square plot and the diameter of the garden is equal to the side of the square plot which is 28 meters. What is the area of the space left out in the square plot after developing the garden**?

(a) 98 m^{2}

(b) 146 m^{2}

(c) 84 m^{2}

(d) 168 m^{2}

(e) 68 m^{2}

Q9. **Time taken by a boat to cover ‘D’ km upstream is 5 hours while the boat covers ‘D+5’ km downstream in 3 hours. The boat takes 12 hours to cover ‘D+10’ km downstream & return ‘2D – 4’ km upstream. Find speed of boat in still water.**

(a) 4 kmph

(b) 3.5 kmph

(c) 5 kmph

(d) 3 kmph

(e) 2.5 kmph

Q10. **Akshay invested Rs ‘P’ in a scheme offering 20% simple interest for ‘2T’ years. After completion of period, he invested only the sum in another scheme offering compound interest at 10% p.a. for three years if at the end of the period, interest obtained from the scheme is twice the interest obtained from first scheme. Which of the following is absolutely true**?

(a) 0.367 < T < 0.44

(b) 0.314 < 2T < 0.45

(c) 0.2 < T < 0.35

(d) 0.4 < 2T < 0.56

(e) 0.68 < 2T < 0.82

Q11. **Prem gets an aggregate of 70% marks in five subjects in ratio 9 : 8 : 7 : 6 : 5. Maximum marks of each subject is same and 55% of maximum is needed to pass each exam. Then, in how many subjects did he pass the examination**?

(a) 3

(b) 2

(c) 5

(d) 1

(e) 4

Q12. **The average price of a TV, washing machine & refrigerator is Rs 5000 less than average price of TV & washing machine. The amount by which the price of TV is more than that of washing machine is same as amount by which price of refrigerator is less than that of washing machine. Find difference between average price of TV & washing machine & average price of washing machine & refrigerator**.

(a) Rs 10000

(b) Rs 30000

(c) Rs 5000

(d) Cannot be determined

(e) None of these

Q13. **A box contains 8 red, 4 green & 5 pink gems. A table top is to be decorated with 10 gems. What is the probability that the decoration contains at least 5 red & 3 pink gems and also all three colored gems are there**?

(a) 560/2431

(b) 280/2431

(c) 140/2431

(d) 700/2431

(e) 420/2431

Q14. **A man can cover a distance of 20 km in ‘t’ hours. One day after covering half distance, he stuck in a traffic jam in which 10 minutes got wasted. Now to reach the place 20 minutes earlier than his usual time, by what percent should he increase his speed**?

(a) 33.33%

(b) 25%

(c) 20%

(d) Cannot be determined

(e) 37.5%

Q15. **Two students Ayush and Atul participated in college election for president post. Ayush, the losing candidate gets ‘X’ number of votes which was exactly 40% of all casted votes. What percent of the remaining votes would he need to have received in order to have atleast 50% of the total casted votes**?

(i) 16 2/3 % (ii) 12.5% (iii)20% (iv)15% (v)10%

(a) Only (i)

(b) Only (ii)and (iv)

(c) Only (i) and (iii)

(d) Only (iii) and (v)

(e) Only (i),(ii) and (iii)

Q16. **Anurag spends 30% of his income in FD, 10% of remaining given to his mother, 11 **** of remaining spend in room rent. If Anurag divided remaining income between his son and daughter equally and difference between amount spend by Anurag in FD and amount given to his daughter is Rs. 2160, then find monthly income of Anurag (in Rs.)?**

(a) 108000

(b) 105000

(c) 96000

(d) 84000

(e) 120000

**Directions (17-18): **Time taken by car P to cover a certain distance is 50% more than the time taken by car Q to cover the same distance. Car P and another car R starts simultaneously from a same point in same direction. After 1 hour, car Q starts in the same direction as that of car P and R. Q overtakes P in ‘x’ hours and R in ‘x+1.5’ hours.

Q17. **If speed of car P is 120 km/hr, then what is the speed of car R. **

(a) 120 km/hr

(b) 140 km/hr

(c) 100 km/hr

(d) 75 km/hr

(e) 80 km/hr

Q18. **If car P double its speed, then speed of car P is what % of speed of car Q.**

(a)133%

(b) 100%

(c) 80%

(d) 60%

(e) None of these

Q19. **A man invested Rs. P at the rate of 10% per annum for three years on SI and Rs. Q at the rate of 20% per annum for two years on CI. If ratio of total SI to total CI get by man is 5:11, then which possible values will come in the place of P & Q**?

(A) 1200 and 1800 (B) 600 and 900 (C) 400 & 800 (D) 300 & 450

(a) Only (A) & (B)

(b) Only (A) & (D)

(c) Only (B) & (D)

(d) All, (A), (B), (C) & (D)

(e) Only (A), (B) & (D)

Q20. ‘**P’ is a set of perfect square numbers less than 60 and ‘Q’ is a set of ****composite odd numbers less than 25. Find a probability of 6 ^{3} < (P^{2} + Q) < 11^{3}.**

(a) 6/7

(b) 3/5

(c) 2/7

(d) 3/7

(e) None of these

Solutions |
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01 |
02 |
03 |
04 |
05 |
06 |
07 |
08 |
09 |
10 |

e | b | d | c | e | b | e | d | b | a |

11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |

e | a | d | b | c | a | b | a | e | d |