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As the IBPS RRB 2024 Preliminary Examinations approach, scheduled to commence from the first week of August, aspirants are intensifying their preparation efforts. The Arithmetic section forms a crucial part of the quantitative aptitude portion of the exam and plays a vital role in determining a candidate’s overall score, which tests a candidate’s numerical ability and problem-solving skills. A thorough understanding of basic concepts, regular practice, and effective time management are key to excelling in this section.
Key Concepts in Arithmetic
The Arithmetic section of the IBPS RRB exam includes a variety of topics that test a candidate’s understanding of basic mathematical concepts and their application in solving complex problems. Some of the key concepts covered in this section are:
- Number System: This includes topics such as whole numbers, integers, fractions, decimals, and the fundamental operations of addition, subtraction, multiplication, and division.
- Percentage: Understanding percentages is crucial as it forms the basis for many other topics like profit and loss, simple interest, and compound interest.
- Ratio and Proportion: These concepts are essential for solving problems related to mixtures, partnerships, and scaling.
- Average: Questions on averages test the ability to find the mean of a set of numbers and understand the distribution.
- Profit and Loss: This topic involves calculating profit or loss incurred in business transactions and understanding the percentage change in value.
- Simple and Compound Interest: These topics deal with the calculation of interest over time, distinguishing between simple interest and compound interest.
- Time and Work: This involves problems related to the amount of work done in a given time and the concept of work efficiency.
- Time, Speed, and Distance: These problems require understanding the relationship between time, speed, and distance and solving related questions.
- Mixtures and Alligations: This topic involves calculating the concentration of different components in a mixture and solving related problems.
Arithmetic Solved Question for IBPS RRB 2024 Exam
Q1. There were two solid spherical balls. The ratio between radius of first ball to that of second ball is 4 : 3. The second ball was cut into two equal halves and the difference between total surface area of first ball and total surface area of a part of second ball is 1424.5 cm². Find value of radius of bigger ball?
(a) 14 cm
(b) 16 cm
(c) 10.5 cm
(d) 20 cm
(e) 28 cm
Q2. Pipe P alone & Pipe Q alone can fill same tank in 24 hours and in 15 hours respectively and another pipe R alone can empty same tank in 20 hours. If pipe P, Q & R are opened alternatively for an hour to fill the same tank in such a way that pipe Q opened in 1^{st} hour and then pipe R (outlet) and then pipe P, then find time taken to fill the tank?
(a) 51 1/8 hours
(b) 52 hours
(c) 50 3/8 hours
(d) 51 1/5 hours
(e) 49 hours
Q3. Maanik and Shivam entered into a partnership by investing Rs.20000 and Rs.32000 respectively. After 4 months, Maanik increased his investment by 50% and after another 6 months Shivam increased his investment by 25%. If at the end of the year Shivam got a profit of Rs.30000, then find total profit?
(a) Rs.80000
(b) Rs.77000
(c) Rs.54000
(d) Rs.93000
(e) Rs.12000
Q4. Deepak invested Rs. P for 2 years in scheme A at the rate of 18% p.a. on compound annually and received a total amount of Rs.83544 from scheme A. He then invested Rs. (P+X) in another scheme B for 2 years at the rate 20% p.a. on simple interest. If he received Rs.30000 as interest from scheme B, then find X?
(a) Rs 24000
(b)Rs 28000
(c) Rs 12000
(d)Rs 22000
(e)Rs 15000
Q5. The cost price of 2 bats is equal to the cost price of 6 balls. If ratio of number of bats to that of balls sold by shopkeeper is 2 : 3 and bats are sold at 40% profit and balls are sold at % profit, then what is the overall profit percentage of shopkeeper.
(a)76 2/3 %
(b) 38 1/3 %
(c)59 2/3 %
(d)43 1/3 %
(e) 22 2/3%
Q6. ‘A’ has a certain average for 9 innings. In the tenth innings he scores 100 runs thereby increasing his average by 8 runs. His new average is
(a) 20
(b) 24
(c) 28
(d) 32
(e) None of these
Q7. Veer, Sameer & Gopal started a business with initial investment in the ratio of 10 : 12 : 9 respectively. At the end of one year Veer, Sameer & Gopal withdrew Rs. 1000, Rs. 1200 and Rs. 1500 respectively from their initial investment. If at the end of two years Sameer got Rs. 16200 as profit share out of total profit of Rs. 40950, then find the initial investment of Gopal?
(a) 4500 Rs.
(b) 4200 Rs.
(c) 3600 Rs.
(d) 3200 Rs.
(e) 4800 Rs.
Q8. The average age of 16 student in a class is x year. If a teacher whose age is 54 years joined the class than average of the class increases by 2 years. Find the value of x?
(a) 18 years
(b)25 year
(c) None of these
(d) 20 years
(e) 30 years
Q9. Ratio of upstream speed to downstream speed is 1 : 11. If speed of boat in still water is 30 km/hr then find the distance covered in upstream in 5 hours ? (in km)
(a) 66
(b) 55
(c) 25
(d) 30
(e) 40
Q10. The speed of boat in still water is 700% more than speed of stream. Boat travels distance of 63 km in downstream in 2 hr 48 min. Then, find the time taken by boat to travel 56 km in upstream.
(a) 2 hr 56 min
(b) 3 hr 02 min
(c) 3 hr 12 min
(d) 3 hr 36 min
(e) 4 hr 12 min
Q11. If the price of milk is increased by 25% then a person can buy 8 litres less milk by spending Rs 160. Find the final rate of milk?
(a) Rs 4 per litre
(b) Rs 5 per litre
(c) Rs 8 per litre
(d) Rs 6 per litre
(e) Rs 7 per litre
Q12. Two trains are travelling with speed 144 km/hr and 108 km/hr crosses each other in 6 sec while travelling in opposite direction. The longer train whose length is 60 m more then smaller train and running with speed of 108 km/hr crosses a railway platform in 20 sec. Find the time taken by the smaller train to cross the same platform.
(a) 13.5 sec
(b) 11.5 sec
(c) 12.5 sec
(d) 14.5 sec
(e) 18.5 sec
Q13. Ratio between principle to C.I. for two years is 25 :11. Find the principle if difference between CI & SI for two years is given as Rs 240?
(a) Rs 6000
(b) Rs 5400
(c) Rs 6400
(d) Rs 5000
(e) Rs 4000
Q14. A man borrowed Rs. 10000 from his friend at the rate of 5% p.a. for three years at S.I. Out of total amount he borrowed he invested 80% of amount at the rate of R% p.a. on compound interest for three years and rest he spend. If after three year man still has to pay 852 as interest to his friend, then find ‘R’?
(a) 10%
(b) 5%
(c) 8%
(d) 12%
(e) 15%
Q15. Speed of Satish is 40% of speed of Aman. Aman covers 2340 m in 18 seconds. Find in how much time Satish can cover 468 m.
(a) 8 seconds
(b) 9 seconds
(c) 10 seconds
(d) 11 seconds
(e) 12 seconds
Q16. On a day, Sita typed an essay of 6000 words in 40 min. Next day, she typed the same essay with speed 12% faster than the previous day speed. Find the time she took to type the essay on next day ?
(a) 310/7 min
(b) 250/7 min
(c) 40 min
(d) 30 min
(e) 125/7 min
Q17. (1250 + 1725) ÷ (825 + 365) = ?
(a) 1.5
(b) 2.5
(c) 1
(d) 2.25
(e) 2.75
Q18. √625 ÷ √16 × 6 = ?% of 300
(a) 15
(b) 12.5
(c) 17.5
(d) 10
(e) 8.5
Q19. 26 × 15 + 310 – (15)² = 25% of ?
(a) 1600
(b) 1800
(c) 1900
(d) 1500
(e) 1700
Q20. √81 × √625 + 1225 = (?)² – 150
(a) 50
(b) 45
(c) 35
(d) 30
(e) 40
Solutions | |||||||||
01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 |
a | e | c | e | d | c | a | d | c | c |
11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
b | a | a | a | b | b | b | b | c | e |
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