RPF SI CBT-I 2024 Official Paper (Held On: 02 Dec, 2024 Shift 1) (Previous Year Paper)

Lalit's average earning per month in the first three months of a year was ₹22272. In April, his earning was 75% more than the average earning in the first three months. If his average earning per month for the whole year is ₹84460, then what will be Lalit's average earning (in ₹) per month from May to December?

The price (per litre) of petrol increases by 75%. By what approximate percent should its consumption be reduced such that the expenditure on it increases by 33% only?

The diameter of the base of a solid cone is 24 cm and its height is 21 cm. It is cut into three parts by two cuts which are parallel to its base. The cuts are at the height of 7 cm and 14 cm from the base, respectively. Find the curved surface area (in cm² ) of the top part. (use π = 3.14)

Two trains of equal length are running on parallel lines in the same direction at speeds of 51 km/h and 42 km/h. The faster train passes the slower train in 16 seconds. The length of each train is:

The selling price of 16 books is equal to the cost price of 12 books. Find the loss or gain percentage. 

Given that 40^0.11 = x, 40^0.1= y and x^z = y² , then the value of z is close to:

The average price of three items of furniture is Rs 15915. If their prices are in the ratio 3:5:7, the price of the costliest item (in Rs) is

If third proportional of 76 and 38 be x, then what is the value of x?

LCM and HCF of two numbers are 114 and 19 respectively. If one of the numbers is 57, then find the other number.

The value of

\(\frac{1}{7}+\frac{2}{7}+\frac{5}{14}+\frac{4}{7}-3=\)

During sale, Raghav bought a notebook marked for ₹70 at 40% discount and a pen marked for ₹20 at 35% discount. How much (in ₹) did he save due to sale?

Find the value of \(\rm \left[(35\div 5) \times \left{\frac{12}{6}+\frac{25}{2}\times (9-7)\right}\right]\)

If a 1136 m long train crosses a pole in 71 seconds, then find the time (in seconds) taken by the train to cross a 656 m long platform.

Find the value of \(\rm \left[(32\div8)\times \left{\frac{15}{5}+\frac{30}{5}\times (7-2)\right}\right]\)

The difference between the simple interest and the compound interest, compounded annually, on a certain sum of money for 2 years at 6% per annum is ₹78. Find the sum. [Give your answer to integral number without rounded off.]

A sum, when invested at 20% simple interest per annum, amounts to ₹2400 after 3 years. What is the simple interest (in ₹) on the same sum at the same rate in 2 year?

Manav's average earning per month in the first three months of a year was ₹76096. In April, his earning was 75% more than the average earning in the first three months. If his average earning per month for the whole year is ₹94660, then what will be Manav's average earning (in ₹) per month from May to December?

Evaluate 147²

Express the following as a vulgar fraction. 

\(\rm 0.\overline{54}+0.2\overline{3} \)

What will be difference in population 3 years ago and 2 years ago of a town, whose current population is 180000 and which is increasing at a rate of 25% every year?

Ketan sold 171 chairs and had a gain equal to the selling price of 95 chairs. What is his profit percentage?

A solid hemisphere of iron is melted and recast into the shape of a right circular cylinder with a diameter of 9 cm and a height of 42 cm. Find the volume of the cylinder. (Use π = 22/7) 

Find the volume (in cm³) of a cylinder that circumscribes a sphere with a radius of 2.8 cm. (Use π = \(\frac{22}{7}\))

The smallest 1-digit number to be added to the 6-digit number 910300 so that it is completely divisible by 11 is:

The HCF and the LCM of two numbers are 19 and 342, respectively. If one of the numbers is \(\frac{9}{2}\) times of the other, what is the larger number?

The list price of a washing machine is ₹41000. It is sold to a retailer after two successive discounts of 12% and 30%. The retailer wants to earn a profit of 25% on it's cost price after allowing a 50% discount (on its new list price) to the customer. At what price should he list the washing machine?

Which of the following ratio is smallest?

Rahul covers 734 km in a boat in 30 hours against the stream and he takes 12 hours with the stream then find the speed of the stream?

Time taken (in hrs) by two trains X and Y to travel the distance from Lucknow to Chandigarh via the same route on four different days is given in the following bar graph. Study the graph carefully and answer the question given below:

If the distance between Lucknow and Chandigarh is 754 km, then what is the difference between the average speed (in km/hr) of the trains X and Y on Day 3?

If x varies inversely as y³ - 1 and is equal to 6 when y = 3, find x when y = 8.

 number when increased by 50%', gives 3720. The number is: 

Sharad completes his journey in 8 hours. He covers half the distance at 90 km/h and the rest at 30 km/h. What is the length of the journey (in Km)? 

If the sum of the n observations is 160 and their average is 40, find the value of 7n + 15. 

Which of the following fractions is the largest?

\(\frac{2}{3}\), \(\frac{9}{87}\), \(\frac{20}{21}\), \(\frac{45}{66}\)

The average of 7 numbers is 53. If each number is increased by 6, what will the new average be?

LPHK is related to NRJM in a certain way based on the English alphabetical order. In the same way, OSKN is related to QUMP. To which of the following is RVNQ related, following the same logic?

Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.

HIF KLI NOL QRO ?

In a certain code language, ‘DOES’ is coded as ‘2649’ and ‘PAID’ is coded as ‘1365’. What is the code for ‘D’ in the given code language? 

Seven people, R, S, T, U, V, W and Y, are sitting around a circular table facing the centre of the table. W sits to the immediate left of R. U sits to the immediate left of T. S sits second to the right of T. R sits third to the right of V. Who sits second to the right of Y?

Ijk ranked 89^th from the bottom and 19^th from the top in his class. How many students are there in his class?

In a certain code language, ‘PAGE’ is coded as ‘6123’ and ‘GAPS’ is coded as ‘3761’. What is the code for ‘S’ in that language?

If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 2586473, which of the following digits will be third from the left in the new number thus formed? 

Select the numbers from among the given options that can replace the question marks (?) in the following series.

213 216 221 228 237 ? 261 ?

 Gagan starts from point A and drives 13 km towards East. He then takes a right turn, drives 15 km, turns right and drives 17 km. He then takes a right turn and drives 16 km. He takes a final right turn, drives 4 km and stops at point P. How far (shortest distance) and towards which direction should he drive in order to reach point A again? (All turns are 90 degrees turns only unless specified.) 

A $ B means ‘A is the sister of B’,

A @ B means ‘A is the daughter of B’,

A * B means ‘A is the father of B’ and

A - B means ‘A is the son of B’.

Based on the above information, which of the following means that D is the daughter's husband of M$?

In a certain code language, ‘PALS’ is coded as ‘1245’ and ‘LAMS’ is coded as ‘5123’. What is the code for ‘M’ in the given code language?

Four of the following five figures are alike in a certain way and thus form a group. Which figure DOES NOT belong to that group?

If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 7123546, what will be sum of the highest and lowest digits in the new number thus formed?

Three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which is the letter-cluster pair that does NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their positions in the letter-cluster.)

Select the correct mirror image of the given figure when the mirror is placed at line MN as shown.

Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster DOES NOT belong to that group?

(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)

Refer to the following letter, number and symbol series and answer the question that follows. Counting to be done from left to right only.

(Left) D R & F 1 7 Q * 9 E D 4 W W % I 6 L 3 * € $ (Right)

If all the numbers are dropped from the series, which of the following will be fourth from the left$?

Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number results in the second number. Similarly, certain mathematical operation(s) on the second number results in the third number and so on. Which of the given options follows the same set of operations as in the given sets?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting /multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

79 - 71 - 65 - 61

84 - 76 - 70 - 66

S is the brother of D. D is the father of F. F is the mother of G. G is the wife of H. How is S related to H? 

Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which is the letter-cluster pair that DOES NOT belong to that group?

(Note: The odd man out is not based on the number of consonants/vowels or their position in the letter-cluster.)

G, H, I, J, K, L and O are sitting around a circular table facing the centre of the table. L sits third to the left of G. H sits second to the left of O. Only G sits between J and H. K is not an immediate neighbour of L. How many people sit between I and K, when counted from the right of I?

What will come in the place of the question mark (?) in the following equation, if '×' and '+' are interchanged and '−' and '÷' are interchanged?

44 ÷ 9 × 32 − 8 + 4 = ?

Six people, named W, X, Y, Z, T and U, each are of different ages. The age of Y is 30. The age of T is five times the age of Z. The age of W is half the age of X. The age of Z is one-fourth the age of W. The age of Y is two times the age of T. If the age of X is half the age of U, what is the age of U?

Each vowel in the word ICTERID is changed to the letter immediately following it in the English alphabetical order and each consonant is changed to the letter immediately preceding it in the English alphabetical order. How many letters will appear exactly twice in the group of letters thus formed?

Select the pair that follows the same pattern as that followed by the two set of pairs given below. Both pairs follow the same pattern.

WKA : ULZ

SMY : QNX

FUND is related to KSSB in a certain way based on the English alphabetical order. In the same way, PQXZ is related to UOCX. To which of the given options is ZMHV related to, following the same logic? 

This question is based on the five, three-digit numbers given below.

(Left) 589 365 451 749 159 (Right)

(Example: 697 – First digit = 6, second digit = 9 and third digit = 7)

(NOTE: All operations to be done from left to right.) 

If all the numbers are arranged in ascending order, the position of how many numbers will remain unchanged?

Select the set in which the numbers are related in the same way as are the numbers of the following sets. 

(Note: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

(30, 49, 19)

(37, 39, 2)

Refer to the following letter, number and symbol series and answer the question that follows. Counting to be done from left to right only.

(Left) G E * S D Y # 3 R 6 K & 5 4 @ C & T % 7 2 (Right)

How many such letters are there which are immediately preceded by a number and also immediately followed by a symbol?

Read the given statements and conclusions carefully. Assuming that the informaon given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

All oranges are apples.

All apples are kiwis.

Some apples are grapes.

Conclusions:

(I): Some kiwis are grapes.

(II): Some oranges are grapes.

Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.

Rayan starts from Point A and drives 13 km towards East. He then takes a left turn, drives 5 km, turns left and drives 15 km. He then takes a left turn and drives 11 km. He takes a left turn, drives 2 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degree turns only unless specified.)

In a certain code language, ‘OWES’ is coded as ‘5172’ and ‘NEWS’ is coded as ‘4521’. What is the code for ‘N’ in that language? 

F, G, H, I, J and Q live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on, till the topmost floor is numbered 6. No one lives below J. Only two people lives between J and G. Only I lives above Q. H lives on an even numbered floor. How many people live between F and Q?

Which of the following letter-clusters will replace the question mark (?) in the given series to make it logically complete?

JZI 3 LVL 9 ? PNR 81 RJU 243

Who among the following was the founder of Indian Space Research Organisation (ISRO)?

Which of the following programmes aims to improve the food and nutritional status of people experiencing poverty?

Which of the following is the main measure used to evaluate a nation's economic health?

Which of the following Articles of the Indian Constitution is related to Comptroller and Auditor General (CAG)?

Which of the following is NOT a symptom of Salmonella infection?

An ant bite is acidic in nature. Which acid is present in ant bites?

Which of the following Articles of the Indian Constitution states that all minorities, whether based on religion or language, shall have the right to establish and administer educational institutions of their choice?

What is the correct sequence of the following Biosphere Reserves of India from east to west?

1. Sunderban
2. Pachmarhi
3. Achanakmar-Amarkantak
4. Similipal

Senior IAS officer Deepak Kumar was appointed by the Election Commission as the new Home Secretary of which of the following states of India in March 2024?

According to the Census 2011, which of the following union territories of India has the least population density?

____________ is a kind of quantitative and qualitative process of change which cannot be measured. 

Who among the following wrote the book, ‘The White Tiger’?

Which of the following NABARD subsidiaries sets an objective to provide credit facilities to individuals and other legal entities?

Who among the following has assumed the charge of Chief of Army Training Command, Shimla in 2022?

Arrange the following rulers of the Slave dynasty in the chronological order

Which of the following was the correct ascending order of administration units of the Rashtrakuta dynasty?

The idea of Justice (Social, Economic and Political) in the Preamble of Indian Constitution has been taken from the Constitution of ________.

According to the Indian Meteorological Department (IMD), which season can be observed from October to December?

Which of the following statements is/are true about Iltutmish?

1 He was married to the daughter of Qutb-ud-din Aibak.

2 He was the Governor of Lahore.

3 He nominated his daughter as his successor.

Who among the following was the leader of the Wahabi movement in India?

Which of the following articles deals with language to be used in the Parliament?

The provision of 'Impeachment of President' in the Indian Constitution is borrowed from the Constitution of _____.

Who among the following is the ex-officio Chairman of the Rajya Sabha?

In February 2024, the Cabinet approved the amendment in the Foreign Direct Investment (FDI) policy on Space Sector. According to it, in which of the following subsectors 100% FDI through automatic route has been allowed?

Which of the following states is NOT connected to the Golden Quadrilateral highway network?

According to the Census of India 2011, which of the following groups of states recorded a population of more than 30 crore?

In January 2024, Sarbananda Sonowal launched ‘Harit Nauka’ guidelines and ‘River Cruise Tourism Roadmap, 2047' at the Inland Waterways Development Council (IWDC) in ______.

In which of the following types of forests are the spotted deer found?

In September 2024, the World Health Organization (WHO) officially recognised which of the following as the first country in the world to eliminate leprosy?

Which of the following is a feature of the Fiscal Responsibility and Budget Management Act, 2003 (FRBMA)?

Who among the following is known for his contribution to the foundation of the JaipurAtrauli gharana, particularly in the realm of tabla playing?

The laws of inheritance form the foundation of classical genetics. Who among the following first described the laws of inheritance?

Manu Bhaker and Sarabjot Singh, the first Indian shooting pair to win an Olympic medal in shooting at Paris 2024, defeated players of which country to win the bronze medal?

'Ichthyophis beddomei', a worm-like amphibian that can swim, belongs to which genus? 

Images those are formed on a screen is termed as:

Which of the following is the most appropriate definition of Newton's second law?

Which of the following Indian musicologists is recognised for his role in organising and codifying Hindustani classical music, thereby laying the groundwork for modern education of India's musical heritage?

Which of the following statements is true about the Animal Birth Control Rules, 2023, notified by the Central Government in April 2023?

Which of the following schemes aims to create self-employment opportunities in rural areas?

Who has become the first woman sniper of the Border Security Force (BSF) in 2024?

Which of the following data sources is used for estimating extreme poverty in India?

Asif Ali Zardari, who took oath as Pakistan's 14^th President in March 2024, replaced who among the following?

Who among the following muslim leaders first propounded the theory of 'Two nations'?

Bhirrana, a Neolithic site, is situated in __________state.

Who among the following was the first-ever Supreme Court Justice against whom a motion for removal was initiated?

The Street Vendor’s AtmaNirbhar Nidhi (PM SVANidhi) Scheme for micro-credit completed how many years in June 2023? 

In which month is the Hornbill festival celebrated in India? 

Which of the following species of catfish was first discovered in the state of Arunachal Pradesh in March 2023? 

Indian chess player Raunak Sadhwani, who finished joint second in the Masters group of the 30^th Abu Dhabi International Chess Festival that concluded in August 2024, belongs to which city?

If you were to advise a state in India to start sesame cultivation as a rabi crop, the state will be from which of the following regions of India?