RPF SI CBT-I 2024 Official Paper (Held On: 12 Dec, 2024 Shift 1) (Previous Year Paper)

The population of a village was 140000. It increased by 5% in the first year and increased by 20% in the second year. Its population after two years is _______. 

Observe the graph and answer the following question.

How many students obtained marks more than 135?

The smallest natural number which is divisible by 14, 42, 54 and 6 is: 

Find the volume of a sphere whose surface area is 1386 cm² .

Isha and Anshu together invested ₹44000 in a business. At the end of the year, out of a total profit of ₹8800, Isha's share was ₹1100. What was the investment of Anshu?

The area of a square plot is 961 m² . The length of each side of the plot (in m) is:

Find the value of \(\left[(28\times 10)\times\left{4\div4\times \frac{(19-12)}{7}\right}\right]\)

The price of fuel decreases by 25%, 60% and 10% in three successive months, but increases by 60% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?

During sale, Raghav bought a notebook marked for ₹100 at 77% discount and a pen marked for ₹100 at 16% discount. How much (in ₹) did he save due to sale? 

A bank offers 9.2% compound interest per annum calculated on a half-yearly basis. A customer deposits ₹2907 each on 1 January and 1 July of a year. At the end of the year, the amount he would have gained by way of interest is ________. [Give your answer correct to 2 decimal places.]

Find the simple interest (in ₹) on ₹2000 at 6.25% per annum rate of interest for the period from 12 February 2023 to 26 April 2023 

The average of eight numbers is 20. The average of five of these numbers is 21. The average of the remaining three numbers is

Pramod sold 171 chairs and had a gain equal to the selling price of 57 chairs. What is his profit percentage?

A conical tent has to accommodate 40 persons. Each person requires 5 m² space on the ground and 70 m³ of air to breathe. Find the height (in m) of the tent (use π = 22/7).

Raghu completes his journey in 20 hours. He covers half the distance at 27 km/h and the rest at 54 km/h. What is the length of the journey (in Km)?

The smallest 1-digit number to be added to the 6-digit number 497094 so that it is completely divisible by 11 is:

A bank offers 6.8% compound interest per annum calculated on a half-yearly basis. A customer deposits ₹4879 each on 1 January and 1 July of a year. At the end of the year, the amount he would have gained by way of interest is ________. [Give your answer correct to 2 decimal places.] 

120 l of a mixture of milk and water contains 15% of water. How much water (in litres) should be added to the mixture to make the water content 25%?

A shopkeeper lists the price of a fan at 60% above its cost price and offers a 30% discount on its list price. If he earns a profit of ₹60, then what is the list price (in ₹) of the fan?

Express the following into vulgar fraction. 

\(0.12\overline3+0.\overline{39} \)

If the average of the four consecutive odd numbers is 42, find the sum of the digits of the largest of these numbers. 

The smallest 1-digit number to be added to the 6-digit number 547363 so that it is completely divisible by 11 is: 

The average price of three items of furniture is Rs 15960. If their prices are in the ratio 3:5:7, the price of the costliest item (in Rs) is

A person drove at 39 kmph for 3.5 hours, then increased his speed by 9 kmph, and reached the destination in another hour. Find the average speed (in kmph) of the person during the entire journey.

If 29 × 2 × 742 ÷ \(\sqrt{2809}\) = y + 784, then find the value of y.

A shopkeeper marks an article at ₹x and offers a discount of 40% on it. He sells it for ₹255 after charging VAT of 70% on the discounted price. What is the value of ₹ x?

Parvati and Pari invest in a business in the ratio 7 : 15. If total profit is Rs. 1166, then what is difference between the profit (in Rs.) of Parvati and Pari?

In what ratio must Suhail, a wholesaler, mix wheat worth ₹45 per kg with wheat worth ₹75 per kg, so that by selling the mixture at ₹80 per kg, he may gain 25%?

Find the circumference (in m) of the largest circle that can be inscribed in a rectangle whose dimensions are given as 112 m and 114 m. take π = \(\frac{22}{7}\)

If a 1092 m long train crosses a pole in 52 seconds, then find the time (in seconds) taken by the train to cross a 294 m long platform.

Two trains of equal length are running on parallel lines in the same direction at speeds of 40 km/h and 22 km/h. The faster train passes the slower train in 40 seconds. The length of each train is: 

Simplify the following:

\(5\times \left(\frac{3}{4}\right)-2\times \left(\frac{1}{4}\right)-3\times \left(\frac{1}{4}\right)- \left(\frac{1}{4}\right) \)

If 13 × 7 × 686 ÷ \(\sqrt{2401}\) = y + 785, then find the value of y.

The ratio of numbers of girls and boys participating in sports of a school is 1 : 5. If the number of girls is 247, determine the number of boys participating in the sports. 

A number when divided by 576 gives remainder 75. If the same number is divided by 24, then find the remainder. 

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

Statements:

All spoons are forks.

All forks are jars.

Some jars are knives.

Conclusions

(I) Some forks are knives.

(II) Some spoons are knives.

In a certain code language, ‘BULK’ is coded as ‘5273’ and ‘KITE’ is coded as ‘4612’. What is the code for ‘K’ in the given code language? 

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 one that DOES NOT belong to that group? 

In a certain code language, ‘HAZE’ is coded as ‘8574’ and ‘HEAL’ is coded as ‘1745’. What is the code for ‘L’ in that language?

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

Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.

Only two people have exam between S and V. U has an exam on Monday. Only P has an exam between U and S. V has an exam on the day immediately before T and the day immediately after R. Q has an exam on the day immediately before R. Who amongst the following has an exam on Saturday?

Select the triad that follows the same pattern as the one followed by the two triads given below. Both triads follow the same pattern.

EA-HD-KN

GC-JF-MP

MJ 18 is related to OF 2 in a certain way. In the same way, NE 11 is related to PA -5. To which of the following is SQ 1 related, following the same logic?

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

IDX 1 MGS −6 ? UMI −26 YPD −39

In a certain code language, ‘GASP’ is coded as ‘8264’ and ‘TAPS’ is coded as ‘8562’. What is the code for ‘T’ in that language?

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

KQR : OTT

SWV : WZX

If 1 is added to each even digit and 1 is added to each odd digit in the number 2175648, what will be the sum of the first and last digits in the new number thus formed?

A * B means ‘ A is the father of B’,

A - B means ‘A is the son of B’,

A $ B means ‘A is the sister of B’ and

A @ B means ‘A is the daughter of B’.

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

If 2 is added to each odd digit and 2 is subtracted from each even digit in the number 384571, what will be the sum of all even digits in the new number thus formed? 

Amit starts from Point A and drives 11 km towards North. He then takes a right turn, drives 9 km, turns right and drives 15 km. He then takes a right turn and drives 11 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 degree turns only unless specified.)

This question is based on the given words.

VAN BUT ZIP DEW

If in each of the words, each letter is changed to the next letter in the English alphabetical order, how many words thus formed will have no vowel?

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

How many such symbols are there which are immediately preceded by a number and also immediately followed by a letter?

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 pair 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 pair.)

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

24 88 137 173 ?

25 is related to 155 following a certain logic. Following the same logic, 20 is related to 125. To which of the following is 32 related, following the same logic?

(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.)

This question is based on the following words. 

JAR CUT DIM FOG

If in each of the words, each letter is changed to the next letter in the English alphabetical order, how many words thus formed will have no vowel?

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

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.)

This question is based on the following words.

CAR SHE BEG MUD

In each of the words, each vowel is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter preceding it in the English alphabetical order. In how many letter-clusters thus formed, will no vowel appear?

A, B, C, D, E and F 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. C lives on an even numbered floor but not 6. The sum of the floors on which B and C live is 7. A lives immediately above E. The sum of the floors on which C and F live is 3. How many people live between A and C?

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

TUR 71 UQT 60 VMV 49 ? XEZ 27

If ‘P’ stands for ‘×’, ‘Q’ stands for ‘÷’, ‘R’ stands for ‘−’ and ‘S’ stands for ‘+’ , what will come in place of the question mark ‘?’ in the following equation? (32 Q 2) P 4 R 35 S (7 P 3) S 20 R 18 Q 3 =?

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.)

(19, 38, 114)

(14, 28, 84)

Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only five people sit between F and A. E sits to the immediate left of A. Only one person sits between E and B. G sits at some place to the left of D but at some place to the right of C. How many people sit between A and C? 

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? 

Ankit starts from point A and drives 11 km towards North. He then takes a left turn, drives 12 km, turns left and drives 14 km. He then takes a left turn and drives 14 km. He takes a final left turn, drives 3 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.)

In a certain code language, 

‘A + B’ means ‘A is the daughter of B’,

‘A – B’ means ‘A is the brother of B’,

‘A x B’ means ‘A is the wife of B’ and

‘A ÷ B’ means ‘A is the father of B’.

How is W related to Y if ‘W + E – R ÷ T x Y’?

Each of P, Q, R, S, T, U and V go to market on a different day of a week starting from Monday and ending on Sunday of the same week.

P goes to market on Wednesday. Exactly two people go to market between P and Q. Exactly three people go to market between Q and S. Exactly two people go to market between R and T. U goes to market on the day immediately after T. V goes to market on one of days after U. 

Who goes to market on Thursday?

Seven people, C, D, E, F, G, H and Z, are sitting in a row facing north. Only three people sit to the left of E. Only four people sit between H and D, neither of whom sits on the left end. C sits immediately to the left of G. Only three people sit between Z and D. How many people sit between F and G?

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

In the context of genetics, what is the primary purpose of pedigree analysis?

Which of the following is the general trend of rainfall distribution across the northern plains of India?

In which year was the 'Bharatiya Sakshya Bill' passed in India?

In March 2023, India rejected Johnson and Johnson’s attempt to extend its monopoly on the manufacturing of which TB drug, invoking Section 3(d) of the Indian Patent Law?

Who among the social reformers following founded the Widow Remarriage Association in 1861?

Ritu Negi, who was awarded with the Arjuna Awards for outstanding performance in Sports and Games 2023, is a player related to which of the following games?

The Bills of Lading Bill, 2024 was introduced by which of the following ministries in August 2024? 

Which of the following is the Keynesian approach to the degree of wage and price flexibility in the labour market?

What is the major rationale of the Government of India to set up the Agricultural Prices Commission?

With reference to agriculture in India, what is ‘Barani’?

In 1978, the _________ Amendment to the Constitution removed the right to the property from the list of the fundamental rights and converted it into a simple legal right under Article 300A.

Which of the following is NOT included in the Fundamental Duties enshrined in the Indian Constitution? 

What is the term of office of the Chairmen and Members of the National Commission of Scheduled Tribes?

The joint Air Force exercise known as ‘GARUDA-VII’ was held between:

How many stanzas are there in the poem ‘Nandikkalambakam’?

Who among the following Indian won the UN Military Gender Advocate of the Year award in 2023?

Who among the following Carnatic music composers is known for his compositional contributions in Telugu and Sanskrit languages, particularly in praise of Lord Rama?

The fourth state of matter 'PLASMA' is a/an ___________.

In which of the following years has Dinesh Goswami committee been formed for Electoral Reforms?

Under which Article of the Indian Constitution can a member of the Public Service Commission be removed by the President of India?

A reproductive method in which a single parent is capable of producing offsprings is called _____

The term ‘Pallavi’ relates to the first or the second thematic lines of the composition in which of the following music?

Neeraja Prabhakar was nominated Chairperson of the Research Advisory Committee (RAC) of ___________ in 2023. 

Which of the following is involved in the process of privatisation?

The Kayatha Culture of Chalcolithic period in Ancient India belongs to which of the following states of India?

Which of the following aspects is covered by the Ayushman Sahakar Scheme? 

The 7^th meeting of the UN Committee of Experts on Business and Trade Statistics, organised by the World Trade Organization (WTO) in September 2024, was held at which place?

Which of the following states has the highest sex ratio (females per 1000 males) according to the Census 2011?

Who wrote the book 'The Discovery of India'?

Which of the following union territories has the highest literacy rate among males in India according to Census 2011?

Which of the following diagrams accurately depicts the properties of convex lenses?

Who among the following introduced the Boilers Bill, 2024 in Rajya Sabha in August 2024? 

Which of the following Sultans of Delhi adopted the policy of Blood and Iron?

In April 2023, India’s first Laser Interferometer Gravitational Waves Observatory project was approved to be established in which of the following states?

When did HH Dixon give the first detailed description of the cohesion-tension theory explaining the water transport in xylem?

In which of the following years was the All India Muslim League founded?

Which of the following teams won the Season 10 of Pro Kabaddi League (PKL), concluded in March 2024?

Where in India is the 'Basilica of Bom Jesus' building located?

The fourth Quad Leaders’ Summit of September 2024 was held at which place in the United States?

Which Indian government scheme is specifically aimed at providing at least 100 days of guaranteed wage employment to rural households?

In which year was the first Regional Rural Bank established?

Which of the following river systems in Rajasthan is the most extensive and transient with its source near Pushkar, splitting into two streams known as 'Saraswati' and 'Sabarmati'? 

State Highways in India primarily link which of the following?

Which of the following substances produces hydroxide ions when dissolved in water?

Which of following is NOT a measure to improve agricultural marketing?

Who among the following is the author of 'Adipurana'?

Which of the following is NOT a part of the electoral college for the election of the President?

Match the Column-I with Column-II and select your answer from the codes mentioned below:

The Abhinav Bharat Mandir (Young India Society) was founded by _________ and his brother as a secret organisation during the Indian War for Independence.

In which of the following cases was 'the basic structure doctrine' recognised for the first time?