Delhi Police SI 2024 June 27 Shift 1 Question Paper

Select the Venn diagram description that best illustrates the relationship between the following classes:
Dog, Cat, Labrador

If '$+$ ' and '$\times$ ' are interchanged, and '$-$ ' and '$÷$ ' are interchanged, then what will come in place of the question mark ($?$) in the following equation?
$$14-7\times 10÷1+7=?$$

Which letter cluster will replace the question mark ($?$) to complete the given series?
HEWC, KIRI, ?, QQHU, TUCA

The faces of a dice are marked with the numbers 10, 20, 30, 40, 50, and 60. Two positions of this dice are given. In the first position, the numbers 10, 30, and 50 are visible. In the second position, the numbers 20, 40, and 50 are visible. Which face is opposite to the face with the number 50?

In a certain code language, 'DINESH' is coded as 12-27-42-15-57-24 and 'VIRAT' is coded as 66-27-54-3-60. How will 'GAUTAM' be coded in that language?

Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
ABUSE : ASUBE :: BEGIN : BIGEN :: OTHER : ?

Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Consistence
2. Conscience
3. Conflagration
4. Consequence
5. Considerable
6. Consignment

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 its constituent digits. E.g. $13$ – Operations on $13$ such as adding / subtracting / multiplying etc. to $13$ can be performed. Breaking down $13$ into $1$ and $3$ and then performing mathematical operations on $1$ and $3$ is not allowed)
$(247,349)$
$(261,363)$

Select the correct combination of mathematical signs to sequentially replace the blanks from left to right to balance the given equation.
$6\text{ \_ }2\text{ \_ }0\text{ \_ }8=20$

Sally drives a mini school bus. She starts from the school gate and drives $7\text{km}$ North to pick up her first ride. Then she turns right and drives $10\text{km}$ picking up children along the way. She takes another right turn and drives $5\text{km}$. She then takes a final right turn to return to the school. How far would Sally need to drive to reach back to the school gate again?

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 its constituent digits. E.g. $13$ – Operations on $13suchasadding/subtracting/multiplyingetc.to$ 13$canbeperformed.Breakingdown$ 13$into$ 1$and$ 3$andthenperformingmathematicaloperationson$ 1$and$ 3$isnotallowed)$ (9, 36, 12)$
$(12,48,16)$

Which of the following numbers will replace the question mark (?) in the given series?
$7,16,43,124,367,?$

In a certain code language, 'RACE' is written as 'VWGA' and 'BANK' is written as 'FWRG'. How will 'STEM' be written in that code language?

Select the correct mirror image of the given alphanumeric string when a vertical mirror is placed to its right at $MN$, as shown below:

Select the option figure that will logically complete the series when placed in place of the question mark (?).

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 its constituent digits. E.g. 13 - Operations on 13 such as adding/deleting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
$(12,36,6)$
$(18,54,9)$

Two different positions of the same dice are described below. The faces are numbered from $1$ to $6$. In the first position, the numbers $1$, $2$, and $3$ are visible. In the second position, the numbers $1$, $5$, and $6$ are visible. Which number will be on the face opposite to the face showing $1$?

In a certain code language, 'CUTE' is written as 'FQWA' and 'BLUE' is written as 'EHXA'. How will 'VOTE' be written in that same code language?

Select the correct combination of mathematical signs that can sequentially replace the $\ast$ signs to balance the given equation.
$$10\ast 2\ast 1\ast 8\ast 11\ast 8$$

Select the option figure in which the given shape (a capital letter 'N') is embedded as its part (rotation of the figure is not allowed).

Select the number from among the given options that can replace the question mark ($?$) in the following series.
$$25,40,70,115,175,?$$

Select the option figure description that logically replaces the question mark ($?$) in the following figure series:


NEXT?

Following a certain logic, $15$ is related to $45$. Following the same logic, $25$ is related to $125$. Using the same logic, which of the following numbers is related to $80$?

Select the Venn diagram description that best illustrates the relationship between the following classes:
Bananas, Apples, Grapes

In a certain code language, 'LAND' is written as 'IWKZ' and 'GOLD' is written as 'DKIZ'. How will 'TEAM' be written in that same code language?

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 letter-cluster is not based on the number of vowels/consonants or their positions in this letter-cluster.)

Six students - Aman, Bobby, Chintu, Geeta, Pranay, and Ram - are sitting around a circular table facing towards the center.
* Ram is sitting second to the right of Geeta.
* Pranay is the immediate neighbor of both Geeta and Bobby.
* Aman is sitting third to the right of Geeta.
Who among the following is the immediate neighbor of both Ram and Bobby?

Preeti starts from point A and drives $7\text{km}$ towards South. From here, she turns left and drives $9\text{km}$. Then she turns left one last time and drives $7\text{km}$ to reach point B. How far should Preeti drive to reach point A from point B?

Select the correct mirror image of the word "FELIX" when a vertical mirror is placed on its right side at line MN.

At a wedding reception, a man pointed to the groom and described him as the brother of the son of his grandfather's son. How is the groom related to that man?

Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
CARS : HFWX :: BOAT : GTFY :: FUSE : ?

Following a certain logic, $12$ is related to $40$. Following the same logic, $9$ is related to $31$. Using the same logic, which of the following numbers is related to $16$?

Which letter cluster will replace the question mark ($?$) to complete the given series?
CHO, DIP, EJQ, ?

Select the Venn diagram description that best illustrates the relationship between the following classes:
Potatoes, Vegetables, Grapes

The faces of a dice are marked with the numbers $2,3,5,6,7,$ and $8$. Two different positions of this dice are described. In the first position, the numbers $2,3,$ and $5$ are visible. In the second position, the numbers $2,6,$ and $7$ are visible. Select the number that will be on the face opposite to the face showing $8$.

Which two mathematical signs need to be interchanged to make the following equation correct?
$$2+10\times 12-4÷24=8$$

In a certain code language, 'DICE' is written as 'EKFI' and 'PLAN' is written as 'QNDR'. How will 'LUDO' be written in that same language?

Which letter cluster can replace the question mark ($?$) to complete the given series?
FDKI, GCMG, ?, IAQC

In a certain code language:
* '$A+B$ ' means 'A is the wife of B's brother',
* '$A-B$ ' means 'A is the sister of B',
* '$A\times B$ ' means 'A is the wife of B',
* '$A÷B$ ' means 'A is the daughter of B'.

Based on the above, if the expression is '$G+K-L÷M\times Q$ ', how is G related to Q?

Select the number from among the given options that can replace the question mark ($?$) in the following number series.
$$1,1,2,3,5,8,13,?$$

Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Literacy
2. Literature
3. Litany
4. Listen
5. Lithograph

Select the option figure description in which the given shape (a right-angled triangle) is embedded as its part (rotation of the figure is not allowed).

Which two signs should be interchanged to make the given equation correct?
$$10÷63\times 7+90-80=100$$

Select the Venn diagram description that best illustrates the relationship between the following classes:
Cheetah, Birds, Eagle

Which numbers will replace the question marks ($?$) to logically complete the given series?
$$1,6,15,28,?,?,91$$

Identify the option description that replaces the question mark ($?$) to logically complete the given figure series.

In a certain code language, 'FIND' is written as 'CLFB' and 'HOW' is written as 'VME'. How will 'WILL' be written in that same language?

Select the correct combination of mathematical signs that can sequentially replace the $\ast$ signs to balance the given equation.
$$13\ast 7\ast 12\ast 4\ast 15\ast 65$$

If $+$ means $-$, $-$ means $\times$, $\times$ means $÷$, and $÷$ means $+$, then what will come in place of the question mark ($?$) in the given equation?
$$22\times 11-450÷50+500=?$$

A square paper is folded twice (first vertically from right to left, then horizontally from top to bottom) into a smaller quarter-square. A tiny circular cut is made at the center of this folded sheet. How will the paper look when it is fully unfolded?

Which of the following diagrams accurately represents the interconversion of the three states of matter?
(Given: Solid, Liquid, Gas; and processes: Vaporisation, Solidification, Fusion, Condensation, Sublimation, Deposition)

Which cycle comprises both sedimentary and gaseous cycles?

Which of the following factors does NOT control the climate of a place?

What is the average height of the Eastern Ghats of India?

With respect to the components of population density, which of the following states is the odd one out?

Chitra Visweswaran is a famous dancer of which of the following dance forms?

The Finance Commission of India is mentioned under which Article of the Indian Constitution?

Which Article of the Indian Constitution mentions that where the same person is appointed as Governor of two or more States, the emoluments and allowances payable to him shall be allocated among those States?

What are the two main parts in Manipuri dance that correspond to the Lasya and Tandava elements?

In which of the following sports is the term 'Dribbling' used?

Select the name of the hydrocarbon with the structural formula ${\text{CH}}_3-{\text{CH}}_2-{\text{CH}}_2-{\text{CH}}_2-{\text{CH}}_2-{\text{CH}}_3$.

Shyamamani Devi was awarded the Padma Shri in 2022 for her contribution to _________ music.

Kathasaritsagara, a literary work, was originally composed in which of the following languages?

Which phenomenon is the exact opposite of solidification?

The Sailendra kings, who had close contact with Indian rulers, were followers of which of the following religions?

Which of the following ambassadors was sent by Seleucus I Nicator to the court of Chandragupta Maurya?

Which Article of the Indian Constitution is related to Fundamental Duties?

Which biosphere reserve in southern Andhra Pradesh is home to several endemic species, including the famous red sanders and slender loris?

Which of the following is NOT one of the four primary explicit core goals of India's Five-Year Plans?

In which year was the Self-Help Group - Bank Linkage Programme (SHG-BLP) launched in India?

Which of the following is NOT included in the Indian Food Guide Pyramid for healthy eating?

Arjun Singh Dhurve, a tribal dancer of the Baiga community, received the Padma Shri award in 2022 for his contribution to which field?

Which of the following mountain peaks is located in the Karakoram Range?

In which of the following years was the famous musician Bhupen Hazarika posthumously awarded the Bharat Ratna?

Vasco da Gama, who discovered the direct sea route from Europe to India, belonged to which country?

What is the total length of the Golden Quadrilateral highway network built by the National Highways Authority of India (NHAI)?

The Biological Diversity Act, 2002 was enacted by the Government of India. This is in accordance with the ideals of which Article of the Directive Principles of State Policy in the Constitution of India?

Match the following movements/organizations with their respective founders:

Ustad Asad Ali Khan was one of the foremost masters of which of the following musical instruments?

The Central Government launched the National Air Sports Policy (NASP) in the year ________.

Which of the following is NOT a Fundamental Duty of an Indian citizen under the Constitution of India?

Match the following dams with the rivers on which they are constructed, based on the provided source

Which of the following proteins is found in cereal grains (such as wheat, barley, and rye), as referenced in image_3a2500.png?

Which of the schematics labeled (a, b, c, d) in the image image_3a2500.png correctly represents the structure of Mendeleev's Periodic Table as published in a German journal in 1872?

Which country hosted the Commonwealth Fencing Championships 2022?

Who among the following was a pioneer of widow remarriage in Maharashtra and also opened a school for girls in Poona along with his wife?

Identify the crop grown in the Kharif crop season in the northern states of India.

Who among the following is the author of the book 'The Guide'?

What is the minimum amount of money required to be deposited in a financial year under the Sukanya Samriddhi Account Scheme?

According to Article _________ of the Indian Constitution, the Council of Ministers is collectively responsible to the Lok Sabha (House of the People).

According to the Hindu calendar, Diwali falls in which of the following months?

What are the thin filamentous extensions found in the cell wall of motile bacterial cells called?

What does the letter 'M' stand for in the acronym of the MUDRA scheme?

Which of the following is NOT an example of the inertia of rest?

Which of the following dances is NOT a part of Odia culture?

'Bad Man' is the autobiography of which Indian actor?

In the 5th edition of the Khelo India Youth Games held in 2023, more than 5,000 athletes competed for 1,936 medals across ________ sports disciplines.

According to the 2011 Census of India, which of the following states has the lowest literacy rate?

Which of the following programs was NOT a part of the Tenth Five-Year Plan?

Dussehra (Vijayadashami) is celebrated in which month of the Hindu calendar?

The sum of two numbers $x$ and $y$ (where $x>y$) is equal to four times their difference. Find the value of $\frac{5xy}{3(x^2-y^2)}$.

The base of a parallelogram is twice its height. If the area of the parallelogram is $338{\text{cm}}^2$, then find its height (in $\text{cm}$).

A policeman chases a thief who is running at a speed of $7\text{km/h}$. The speed of the policeman is $12\text{km/h}$. If the thief is $280\text{meters}$ ahead of the policeman, then how much time will the policeman take to catch the thief?

Study the given bar graph and answer the following question. The bar graph shows the number of employees (in lakhs) in a company across five different years:

By what percentage did the number of employees increase in the year 2022 compared to the year 2019?

Simplify the given expression:
$$25÷5\times 7\text{ of }(5+7)-13(6\times 4)$$

What will be the possible value of $x$ that satisfies the given equation?
$$\frac{(143÷13\times x-3\times 3)}{(6^2-7\times 5+x^2)}=1$$

Simplify the following expression:
$$(1+{\tan }^{2}A)+\left(1+\frac{1}{{\tan }^{2}A}\right)$$

$57\%$ of Ranita's weekly income is equal to $76\%$ of Bhaskar's weekly income. If Ranita's weekly income is decreased by $₹400$ while Bhaskar's weekly income remains unchanged, the ratio of the weekly incomes of Ranita and Bhaskar becomes $6:5$ respectively. What is the weekly income of Bhaskar (in $₹$)?

A alone can complete a work in $200$ days, while B alone can complete the same work in $100$ days. In each three-day cycle, on the first day both A and B work together, on the second day only A works, and on the third day only B works. This cycle continues until the work is completed. How many days will they take together to complete the work?

Simplify the following expression:
$$3\frac{1}{5}\text{ of }2\frac{3}{4}÷\frac{11}{3}+\left(2\frac{1}{5}÷1\frac{2}{5}\text{ of }1\frac{3}{7}-2\frac{1}{3}\right)$$

Find the value of the following expression:
$$3\frac{2}{3}÷2\frac{1}{5}\times \frac{1}{4}\times \left(1+\frac{3}{1-\frac{2}{5}}\right)$$

Find the value of the following expression:
$$12+24÷2-7\times 30÷6+(5+4)\times 8+8÷8-8$$

Find the single equivalent discount percentage corresponding to three successive discounts of $10\%$, $20\%$, and $20\%$.

In $\Delta ABC$, $AD$ is the internal bisector of $\angle A$, which meets side $BC$ at $D$. If $BD=5\text{cm}$ and $BC=7.5\text{cm}$, then what is the ratio $AB:AC$?

A car travels $20\text{km}$ in the first one-fourth part of an hour, $25\text{km}$ in the second one-fourth part, and $15\text{km}$ in the third one-fourth part. What is the average speed of the car (in $\text{km/h}$) during the entire journey?

A $12$ -liter solution of acid and water contains $30\%$ acid. How much water (in liters) must be added to get a solution containing $20\%$ acid?

If $\cot \theta =\frac{28}{45}$, then find the value of $(\sin \theta -\cos \theta )$.

What is the value of the following expression?
$$35-[28-(60÷4+26÷13)]$$

The rim (circular boundary) of a hemispherical bowl is $88\text{cm}$. Assuming the bowl is completely filled, how many people can be served if the content is distributed into hemispherical glasses, where each glass has a top diameter of $7\text{cm}$? (Take $\pi =\frac{22}{7}$)

If $\sec 6A=\csc (A-29^{\circ })$, where $2A$ is an acute angle, then find the value of $\angle A$.

Study the given table (pictogram) and answer the question that follows. The table shows the number of scouts in different classes of a school.
Given scale: $1\text{ icon}=15\text{ scouts}$

What is the total number of scouts in classes VI to VIII together?

What is the total surface area of a cone whose radius is $\frac{r}{4}$ and slant height is $4l$?

If the sum of two numbers $x$ and $y$ is $12$ and their product is $27$, then find the sum of their cubes.

The percentage distribution of the number of tires of different brands produced by a specific factory in a year is shown in the given pie-chart. The total number of tires sold is 1350.

What is the difference between the average number of Avon and Firestone tires sold together and the average number of Good year and Dunlop tires sold together?

If $\tan (t)+\cot (t)=1$, then one of the values of the expression $\frac{1}{\sin (t)+\cos (t)}$ is _______.

A sum of money doubles itself in $4$ years at compound interest. In how many years will the same sum become $8$ times at the same rate of interest?

Find the value of the following expression:
$$24÷(3-8\times 3+27)+3$$

How many meters of cloth will be required to make a conical tent whose base radius is $21\text{ meters}$ and height is $28\text{ meters}$? The width of the cloth is $5\text{ meters}$. (Take $\pi =\frac{22}{7}$)

In an election between two candidates, one received $60\%$ of the total valid votes. $25\%$ of the total votes were invalid. If the total number of votes cast was $15,000$, find the number of valid votes received by the other candidate.

In an election, $12\%$ of the voters on the voters' list did not cast their votes, while $84$ voters cast blank ballots. There were only two candidates, Ramagya and Shravan. The winner, Ramagya, received the support of $54\%$ of all the voters on the list. He received $1456$ votes more than his rival, Shravan. Find the total number of voters on the list.

Two numbers are in the ratio $3:7$. If $11$ is subtracted from each, the ratio between the numbers becomes $7:20$. Find the smaller number.

In $\Delta ABC$, $P$ is a point on $AB$ such that $PB:AP=3:4$ and $PQ$ is parallel to $AC$ (where $Q$ lies on $BC$). If $AR$ and $QS$ are perpendicular to $PC$ and $QS=9\text{cm}$, then what is the length of $AR$ (in $\text{cm}$)?

A train travels a distance of $60\text{km}$ at a speed of $80\text{km/h}$, $100\text{km}$ at a speed of $90\text{km/h}$, and another $140\text{km}$ at a speed of $120\text{km/h}$. Find the average speed for the entire journey. (Round off to the nearest integer.)

The following table shows the classification of 100 students based on the marks obtained by them in Mathematics and Science in an examination:



What is the difference between the number of students passing with 60 as cut-off marks in Science and those passing with 60 as cut-off marks in Average (Total)?

A man wants to cover a distance of $1\text{km}$ in a river. It takes him $12\text{minutes}$ to cover this distance in still water, but it takes $13\text{minutes}$ in the flowing river. Find the speed of the flowing water of the river.

A can do a piece of work in $20$ days and B can do the same work in $30$ days. If they work together on it for $2$ days, then what fraction of the work will be left?

What is the value of the following expression?
$$52-[18÷3+3+(18-11)\text{ of }4]$$

Tangents $AP$ and $AQ$ are drawn from an external point $A$ to a circle with center $O$. If $\angle APQ=40^{\circ }$, then find $\angle POQ$.

Study the given table and answer the following question. The table shows the number of students studying in 6 different classes of 6 different schools:



The number of students studying in class X from school P is approximately what percent of the total number of students studying in class X from all schools together?

If the radius of a sphere is $2.1\text{cm}$, then find the volume of the sphere.

A person borrowed ₹ $1,760$ at a simple interest rate of $6\%$ per annum and ₹ $2,240$ at a simple interest rate of $9\%$ per annum for the same time period. He had to pay a total of ₹ $1,536$ as interest. Find the time period (in years).

Find the value of the following expression:
$$\left[18-3\times \left\{3-3\times \left(3÷\frac{1}{3}-3\right)+3÷\frac{1}{3}+3\right\}-4\times 2\right]$$

Ramitra purchased raw materials at a certain price for manufacturing a product. However, due to a shortage of workers, $22.5\%$ of the raw material could not be used and went to waste. $80\%$ of the cost of the used raw material was added as manufacturing cost. If Ramitra can sell her product to earn an overall profit of $20\%$ after allowing a discount of $20\%$, then the marked price of the product was how many times the total cost of the raw material purchased?

Study the data given below and answer the following question. The table shows the current percentage share of 6 partners in a company:

If the company has issued $8\text{lakh}$ shares among its 6 partners and if Verma offers to sell $10,000$ of his shares to Pandey, how many shares will Pandey have in total?

The length of a chord subtended by an arc of a circle is equal to the radius of the circle. If the radius of the circle is $21\text{units}$, then find the length of the arc (in units). (Take $\pi =\frac{22}{7}$)

A shopkeeper offers 3 discount schemes to his customers. Which of the following schemes will provide the minimum discount percentage?
* A) Two successive discounts of $24\%$ and $27\%$.
* B) Buy 5, get 3 free.
* C) Buy 6 and get 10.

If $x+y+z=1$, $xy+yz+zx=-1$, and $xyz=-1$, then find the value of $(x^3+y^3+z^3)$.

The cost price of 36 articles is equal to the selling price of $N$ articles. If the profit is $20\%$, then find the value of $N$.

Select the most appropriate meaning of the given idiom.
Hit the sack

The following sentence has been split into segments as options. One of them may contain an error. Select the option that contains the error.
Since his son has not yet completed the age of eighteen, he was reluctant to fulfil his son’s demand of getting a motorbike.

Select the option that can be used as a one-word substitute for the given group of words.
A professional rider in horse races

Select the most appropriate option that can substitute the underlined segment in the given sentence.
Shakespeare is great than any other English poet.

Select the most appropriate ANTONYM of the underlined word in the given sentence.
The speaker delivered a profound speech that left the audience deeply moved.

Identify the most appropriate antonym of the given word.
Freezing

Identify the most appropriate meaning of the given idiom.
Bread and butter

Select the most appropriate option to substitute the underlined segment in the given sentence.
An awkward neither grammatically accurate sentence is the result of centre implanting.

In the following sentence, four words are underlined, out of which one word is MISSPELT. Select the MISSPELT word from the options.
The shedule followed by my sister ultimately leads to stress and other adverse effects.

Select the most appropriate ANTONYM of the highlighted word in the given sentence.
The worker is known to exert himself a lot.

Select the most appropriate ANTONYM of the given word from the following sentence.
Confusing

The stars twinkled in the dark sky, guiding travellers on their journey.

Select the most appropriate option that can substitute the underlined segment in the given sentence.
My friends are on a trip to the world.

Select the option that can be used as a one-word substitute for the given group of words.
Attempting to impress by affecting greater importance or merit than is actually possessed

Parts of the following sentence have been given as options. Select the option that contains a grammatical error.
We were grateful for a book they gave us.

Select the INCORRECTLY spelt word from the given options.

Select the word which means the same as the given group of words.
A society or company provides these convenient features

Select the INCORRECTLY spelt word from the options.

Select the most appropriate synonym of the given word.
Reckon

Select the most appropriate segment to substitute the underlined words in the given sentence.
The referee declared that the participant who will score the highest points in the tally will take away the cash prize of $\text{₹}50\text{lakh}$.

Select the option that is closest in meaning to the underlined word in the following sentence.
A good critic should also be a person of great candour.

Select the most appropriate option that can substitute the underlined idiom in the given sentence.
The Government must strive to provide a/an fair and square deal to the citizen of its country.

Select the most appropriate meaning of the given idiom.
Be in seventh heaven

Select the INCORRECTLY spelt word from the given choices.

Select the most suitable expression that can substitute the underlined part of the sentence without any change in its core meaning.
Planning to go for a movie just before the final-year examination is nothing but skating on thin ice.

Select the most appropriate option that can substitute the underlined segment in the given sentence.
I prefer walking than riding.

Select the option that can be used as a one-word substitute for the given group of words.
"A woman having more than one husband at the same time"

Select the most appropriate idiom for the underlined part in the given sentence:
"Sohan was very much perplexed to find that his younger brother Mohan had taken poison."