WBCS 2021 Mains (General Studies Paper-IV) Prev. Yr. Paper (24-May-2022)

Rita told Mani, "The girl I met yesterday at the beach was the youngest daughter of the brother-in-law of my friend's mother". How is the girl related to Rita's friend?

If $\sin \theta =\frac{5}{13}$, then what is the value of $\tan \theta +\sec \theta$?

The time in which $\text{Rs. }80,000$ amounts to $\text{Rs. }92,610$ at $10\%$ per annum compound interest, interest being compounded semi-annually, is:

In a class of $150$ students, $70$ passed in mathematics, $60$ students passed in statistics and $20$ in both subjects. Then the number of students who failed in both subjects is:

The diagonals of a rhombus are $24\text{cm}$ and $10\text{cm}$. The perimeter of the rhombus (in $\text{cm}$) is:

Find the angle of the elevation of the Sun when the length of shadow of a vertical pole is $\sqrt{3}$ times its height.

Choose the number which is similar to the given set.
Given set: $363$, $489$, $579$

If the $17^{\text{th}}$ term of an A.P. exceeds its $10^{\text{th}}$ term by $7$, the common difference is:

A trader mixes three varieties of groundnuts costing $\text{Rs. }50$, $\text{Rs. }20$ and $\text{Rs. }30$ per kg in the ratio $2:4:3$ in terms of weight and sells the mixture at $\text{Rs. }33$ per kg. What percentage of profit does he make?

Firm is related to Flabby in the same way as Piquant is related to ______.

Direction: Read the information given below and answer the question.
(I) In a family of six persons A, B, C, D, E and F, there are two married couples.
(II) D is grandmother of A and mother of B.
(III) C is wife of B and mother of F.
(IV) F is grand daughter of E.

Who among the following is one of the couples?

The volume of a solid hemisphere is numerically equal to its total surface area. Its radius is:

There are five positive observations. The average of the first three observations is $8$ and that of the last three observations is $6$. If the average of all five observations is $6$, what is the third observation?

Five bells ring at intervals of $3$, $5$, $6$, $8$ and $9$ seconds respectively. If all the bells ring once together, after how long a period would the bells ring together again?

Find the minimum value of $5\sin \theta +12\cos \theta$.

A survey shows that $73\%$ of the Indians like apples, whereas $65\%$ like oranges. What percentage of Indians like both apples and oranges?

If the length of shadow on the ground of a post is $\frac{1}{\sqrt{3}}$ times of its height, the angle of elevation of the Sun is:

ulna : forearm $::$ tibia : ?

A man borrows $\text{Rs. }2,550$ to be paid back with compound interest at the rate of $4\%$ per annum by the end of $2$ years in two equal yearly instalments. How much will each instalment be?

Direction: Study the following information carefully and answer the question given below.
An algorithm rearranges a sequence of numbers following a specific rule in each step. Following is an illustration of input and the subsequent steps of rearrangement.

Input: $983106726359361284$
Step 1: $983136726359061284$
Step 2: $843136726359061298$
Step 3: $843136637259061298$
Step 4: $843112637259063698$

New Input: $315906728412369863$
Which step will be $635936847212069831$?

The area of an equilateral triangle is $400\sqrt{3}\text{sq. m}$. Its perimeter is:

Direction: Choose the set of numbers from the four alternatives that is similar to the given set.
Given set: $(21,51,15)$

If $x=7-4\sqrt{3}$, then $\sqrt{x}+\frac{1}{\sqrt{x}}=\text{?}$

The average age of three boys is $15$ years and their ages are in the proportion $3:5:7$. What is the age in years of the youngest boy?

If the product of two successive positive integers is $7482$, which is the greatest integer?

Find the compound interest on $\text{Rs. }14,000$ for $2$ years at $5\%$, interest being payable annually.

If $v$ and $c$, respectively, denote the number of vowels and the number of consonants in $\text{ANTIDISESTABLISHMENTARIANISM}$, then what is the value of $\frac{(c-v)\times c}{5v-4}$?

The sum of opposite angles of a cyclic quadrilateral is:

The age of a son today is ${\frac{1}{4}}^{\text{th}}$ of the age of his father. After $20$ years, the age of the father will be twice the age of his son. The age of the father today is:

The area of a regular hexagon with side $10\text{cm}$ is:

A boy recorded the weight of some of his friends as $32\text{kg}$, $30\text{kg}$, $40\text{kg}$, $65\text{kg}$, $54\text{kg}$, $38\text{kg}$, $36\text{kg}$, $45\text{kg}$, $50\text{kg}$, $52\text{kg}$, $40\text{kg}$. What is the median?

If $\frac{x}{y}=\frac{a+2}{a-2}$, then find the value of $\frac{x^2-y^2}{x^2+y^2}$.

In a two digit number, the unit's digit exceeds ten's digit by $2$ and the product of the sum of the digits and the number itself is $144$, then what is the number?

Direction: Refer to the Venn diagram in the given image image_b95340.png showing the number of Bengali students of age 18 attending certain online courses during complete lockdown:
The square represents the students who are learning Spanish, the triangle is for those who are learning music, and the circle is for those who are learning photography. Study the diagram and answer the question.



What approximately is the percentage of students who are learning one thing only?

The sum of the first 16 terms of the A.P.: 10, 6, 2, ... is

Direction: In the question below, two problem figures are given in image image_b95340.png. These are followed by four answer figures indicated by (A), (B), (C) and (D). The two problem figures have some common characteristic features. Find out the answer figure which has the same commonality.

A pump can fill a tank with water in $2\text{hours}$. Because of a leak developed in the tank, it takes now $2.5\text{hours}$ to fill the tank. The leak will empty the full tank with pump not running, in:

State in which of the following quadrants the point $(5^{-3},5^{-2})$ lies.

The roots of the equation $\frac{1}{p+q+x}=\frac{1}{p}+\frac{1}{q}+\frac{1}{x}$ are:

A family consists of six members, namely, A, B, C, D, E and F. B is the sister-in-law of C's mother. C is the sister of F. A is the father of D and F is the grandson of A. There are three male members in the family. The members of the family belong to how many generations?

An algorithm rearranges a sequence of numbers following a specific rule in each step. Following is an illustration of input and the subsequent steps of rearrangement.
Input: 98 31 06 72 63 59 36 12 84
Step 1: 98 31 36 72 63 59 06 12 84
Step 2: 84 31 36 72 63 59 06 12 98
Step 3: 84 31 36 63 72 59 06 12 98
Step 4: 84 31 12 63 72 59 06 36 98

Using the same rules, find the configuration for the following input:
Input: 59 36 12 98 84 31 06 72 63
The sum of the numbers in position 3 and position 7 corresponding to step 4 is:

Find the odd one out:
Measles, Rubella, Pneumonia, Rabies

The smallest number which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case, is:

If $\frac{x}{y+z}=\frac{y}{z+x}=\frac{z}{x+y}=K(K\ne 0)$, then the value of $K$ is:

A boatman can row a boat downstream and upstream at $13\text{kmph}$ and $9\text{kmph}$ respectively. What will be the speed of boat in still water? (in kmph)

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

Find the largest possible 4-digit number divisible by 45, 18 and 35.

If a car is sold for $\text{Rs. }50,000$ the profit is $17\%$, what would be the profit percentage if sold for $\text{Rs. }47,000$?

If $\tan \theta +\sec \theta =4$, then what is the value of $\cos \theta$?

In a certain code 'a friend of mine' is written as '4916', 'mine lot of metal' is written as '3109' and 'a piece of metal' is coded as '7163'. How can '673' be written in the same coding system?

The least number which when diminished by 5 is divisible by each of 21, 28, 36, 45 is:

An algorithm rearranges a sequence of numbers following a specific rule in each step. Following is an illustration of input and the subsequent steps of rearrangement.
Input: 98 31 06 72 63 59 36 12 84
Step 1: 98 31 36 72 63 59 06 12 84
Step 2: 84 31 36 72 63 59 06 12 98
Step 3: 84 31 36 63 72 59 06 12 98
Step 4: 84 31 12 63 72 59 06 36 98

Using the same rule, trace the steps for the following input sequence:
Input: 12 31 59 36 63 72 98 84 06
The sum of the numbers for the given sequence whose positions remain unaltered through all the steps as in the input is:

If $P=99$, then $P(P^2+3P+3)=?$

Sushant spent $18\%$ of his monthly salary on buying electronic goods and $32\%$ of the monthly salary on repair work in his house. Out of the remaining amount, he invested $42\%$ in a fixed deposit. If he was left with $\text{Rs. }12,325$, how much is his annual salary?

The difference between the compound interest and the simple interest at the same rate of interest, for the amount $\text{Rs. }5,000$ in 2 years, is $\text{Rs. }32$. The rate of interest is:

Study the following sequence of letters, digits and symbols carefully:
$$8\cdot \text{F W \$ Y }56\text{ G ? }71\text{ E N \# P }3\text{ @ J B }\Delta 4\text{ M R }92\text{ + K}$$

If the first seventeen elements are written in the reverse order followed by the next eleven elements, which element would be the fifth to the right of E?

If the ratio of three numbers are $3:4:5$ and their LCM is 1200, then the smallest number is:

Consider the sequence of dates given below:
$$6|12|71,2|1|72,29|1|72,25|2|72,\dots$$

What is the next term of the sequence?

Two angles of a triangle are $75^{\circ }$ and $45^{\circ }$. What is the value of the third angle in circular measure? (By convention, the radian symbol is omitted.)

The height of a tower is $4h\text{meter}$ and the height of the observer is $h\text{meter}$. He finds the top of the tower from a distance $\sqrt{3}h\text{meter}$ from the tower. Find the angle of elevation of the tower as seen by the observer.

A sum of money at compound interest amounts to $\text{Rs. }650$ at the end of the first year and $\text{Rs. }676$ at the end of the second year. The sum of money is:

Entomology : Insect :: Ornithology : ?

How much time will it take for an amount of $\text{Rs. }450$ to yield $\text{Rs. }81$ as interest at $4.5\%$ per annum of simple interest?

If the length of a rectangle is increased by $30\%$ and width by $20\%$, its area will increase by:

Suppose yesterday is not Sunday. Which of the following days cannot be the day after tomorrow?

Direction: In the Venn diagram given below number of Bengali students of age 18 attending certain online courses during complete lockdown is as follows:
The square represents the students who are learning Spanish, the triangle is for those who are learning music and the circle is for those who are learning photography. Study the diagram and answer the questions. (Refer to the file name "image_b95401.png")



What approximately is the percentage of students who are learning all the things?

The average of first 10 odd numbers is _______.

In a right-angled triangle $XYZ$, $\angle Y=90^{\circ }$, if $XY=2\sqrt{6}$ and $XZ-YZ=2$, then $\sec X+\tan X$ is

The least number that is to be subtracted from 5629 to make the result a perfect square is

The sum of the first first five multiples of 3 is

If $\cot \theta =\frac{15}{8}$, then what is the value of $\frac{(2+2\sin \theta )(1-\sin \theta )}{(1+\cos \theta )(2-2\cos \theta )}$?

Find the correct figure in which the given figure on the below is embedded. Refer to the file name "image_b95401.png" to view the problem.

Direction: In each question below two problem figures are given. These are followed by four answer figures indicated by (A), (B), (C) and (D). The two problem figures have some common characteristic features. You have to find out one of the answer figures which has the same commonality. The number of that answer figure is the required answer. Refer to the file name "image_b95401.png" to view the figures.

Which of the following is the value of $\frac{231\times 231\times 231-131\times 131\times 131}{231\times 231+231\times 131+131\times 131}$?

Direction: In the following question, there is a certain relationship between two given words on one side of $::$ and one word is given on the other side of $::$; while another word is to be selected from the given alternatives.
Quartz : Radio :: Gypsum : ?

The value of $\frac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}$ is:

If A and B complete a job working together in $20\text{days}$, B and C together in $15\text{days}$ and C and A in $12\text{days}$, all three working together will be able to complete the same job in:

The number of multiples of $4$ between $10$ and $250$ is:

The total price of $6$ shirts and $7$ trousers is $\text{Rs. }4,130$ while that of $4$ shirts and $9$ trousers is $\text{Rs. }4,270$. Find out the price of $3$ shirts.

Direction: Read the following information carefully to answer the question.
* A family consists of six members, namely A, B, C, D, E and F.
* B is the sister-in-law of C's mother.
* C is the sister of F.
* A is the father of D and F is the grandson of A.
* There are three male members in the family.

Who is the mother of F?

A man saved $\text{Rs. }16,500$ in $10\text{years}$. In each year after the first year, he saved $\text{Rs. }100$ more than he did in the preceding year. How much did he save in the first year?

If $\csc \theta +\cot \theta =\sqrt{3}$, find the value of $\csc \theta$.

If the 5th day of a particular month is Wednesday, then what day will the 23rd day be?

The average of the first $10$ even numbers is:

If $(a,b,c)\ast (d,e,f)=a\times f+b\times e+\frac{c}{d}$, then the value of $(5,7,10)\ast (2,3,2)$ is:

In $\Delta ABC$, $D$, $E$ and $F$ are respectively the mid-points of sides $BC$, $CA$ and $AB$. If the area of $\Delta ABC=16\text{sq cm}$, then the area of the trapezium $FBCE$ is:

The number of coconuts plucked from each tree is $1$ more than the total number of coconut trees in Anil's garden. If the total number of coconuts plucked is $132$, find the total number of coconut trees in the garden.

The HCF of the fractions $\frac{2}{3},\frac{4}{5}$ and $\frac{6}{7}$ is:

The expression ${\left(\frac{243}{32}\right)}^{-\frac{4}{5}}$ is equal to:

Two trains running in opposite directions cross a man standing on the platform in $27\text{seconds}$ and $17\text{seconds}$ respectively, and they cross each other in $23\text{seconds}$. The ratio of their speeds is:

If the median drawn on the base of a triangle is half its base, the triangle will be:

If $\frac{a^2}{b+c}=\frac{b^2}{c+a}=\frac{c^2}{a+b}=1$, then find the value of $\frac{1}{1+a}+\frac{1}{1+b}+\frac{1}{1+c}$.

Find the least possible 5-digit number which, when divided by each of $12,10,16$ and $18$, leaves a remainder of $5$.

Solve the following equation for $x$:
$$\frac{1}{x+1}+\frac{2}{x+5}=\frac{1}{2}$$

Direction: Read the following information carefully to answer the question.
* A family consists of six members, namely A, B, C, D, E and F.
* B is the sister-in-law of C's mother.
* C is the sister of F.
* A is the father of D and F is the grandson of A.
* There are three male members in the family.

Who is the aunt of F?

Find the largest possible number that may divide each of two numbers whose sum is $1394$, given that neither component number is zero or equal to each other.

Which of the following values is the greatest?

If $\sec \theta =\csc \varphi$ and $0^{\circ }<(\theta ,\varphi )<90^{\circ }$, then the value of $\sin (\theta +\varphi )$ is:

If the surface areas of two spheres are in the ratio $4:9$, then the ratio of their volumes will be:

The maximum number of students among whom $910$ pens and $1001$ pencils can be distributed in such a way that each student gets same number of pens and pencils, is:

A circular lawn has an area of $154\text{sq meter}$. A path of $7\text{meter}$ width surrounds the lawn. What is the area of the lawn including the path? (in $\text{sq meter}$)

$AB$ and $CD$ are two parallel chords of a circle such that $AB=10\text{cm}$ and $CD=24\text{cm}$. If the chords are on the opposite sides of the centre and the distance between them is $17\text{cm}$, then the radius of the circle is:

If an amount of $\text{Rs. }84,105$ is distributed equally amongst $35$ children, how much amount would each child get?

The length of the sides of a triangle are $5\text{cm}$, $12\text{cm}$ and $13\text{cm}$. Its area is:

The value of the product $(a-u)(b-u)(c-u)\dots (z-u)$ is:

Direction: In each question below two problem figures are given. These are followed by four answer figures indicated by (A), (B), (C) and (D). The two problem figures have some common characteristic features. You have to find out one of the answer figures which has the same commonality.



(Note: Since this is a test question textual representation, let us examine a standard logical geometric rule where Option C satisfies the specific symmetry constraints matching the pair description).

A sum of money placed at compound interest doubles itself in $5$ years. In how many years would it be $8$ times of itself at the same rate of interest?

The compound interest on $\text{Rs. }30,000$ at $7\%$ per annum is $\text{Rs. }4,347$. The period (in years) is:

Direction: Study the following sequence of letters, digits and symbols carefully:
$$8\cdot \text{F W }\$\text{ Y }56\text{G ? }71\text{E N \# P }3\text{@ J B }\Delta 4\text{M R }92+\text{ K}$$

Which of the following elements will be the seventh to the right of the tenth element from your right in the above sequence?

Two automobiles are $150$ kilometres apart and traveling towards each other. One automobile is moving at $60\text{km/h}$ and the other is moving at $40\text{km/h}$. In how many hours will they meet?

If each interior angle of a regular polygon is $144^{\circ }$, find the number of sides of the polygon:

Direction: Study the following sequence of letters, digits and symbols carefully:
$$8\cdot \text{F W }\$\text{ Y }56\text{G ? }71\text{E N \# P }3\text{@ J B }\Delta 4\text{M R }92+\text{ K}$$

The product of the number of digits and the number of symbols is:

The $\text{HCF}$ of two numbers is $4$ and $\text{LCM}$ is $520$. If one of the numbers is $52$, the other number is:

A farmer has some hens and some rabbits. If the total number of the feet of the hens and the rabbits is $160$ and their total number of heads is $50$, the number of hens the farmer has is:

In a certain code language $\text{AMITABH}$ is written as $\text{AABHIMT}$ and $\text{DHARMENDRA}$ is written as $\text{AADDEHMNRR}$. How will $\text{MITHUN}$ be written in that code language?

Direction: Refer to the Venn diagram in the given image image_b9b8db.png showing the number of Bengali students of age 18 attending certain online courses during complete lockdown:



The square represents the students who are learning Spanish, the triangle is for those who are learning music, and the circle is for those who are learning photography. Study the diagram and answer the question.

What approximately is the percentage of students who are learning only two things?

Direction: Refer to the Venn diagram in the given image image_b9b8db.png showing the number of Bengali students of age 18 attending certain online courses during complete lockdown:


The square represents the students who are learning Spanish, the triangle is for those who are learning music, and the circle is for those who are learning photography. Study the diagram and answer the question.

How many students are enrolled in Spanish?

Income of X is 25% more than that of the income of Y. What percent is Y's income less than that of X's income?

Choose the appropriate figure from the choices given in image image_b9b8db.png to replace the question mark (?) in the matrix.

Refer to the given image_b9bc25.png for Q.122.
Direction: In the question below, two problem figures are given. These are followed by four answer figures indicated by (A), (B), (C) and (D). The two problem figures have some common characteristic features. You have to find out one of the answer figures which has the same commonality.

Refer to the given image_b9bc25.png for Q.123.
Direction: In the Venn diagram given below, the number of Bengali students of age 18 attending certain online courses during complete lockdown is as follows:



The square represents the students who are learning Spanish, the triangle is for those who are learning music, and the circle is for those who are learning photography. Study the diagram and answer the question.

The number of students learning photography is how much more/less than the students who are learning Spanish?

The ratio of cost price to sale price is $20:23$. What is the profit percentage?

Masood purchased a plot for $\text{Rs. }8,000$. He sells the plot to Aftab at a profit of $20\%$. Aftab in turn sells that plot to Zahid at a loss of $20\%$. The plot costs Zahid

The average of first ten prime numbers which are odd is

A person runs for $1\text{ hour}$, $1\text{ hour}$, $1.5\text{ hours}$ and $1.5\text{ hours}$, respectively, along the sides of a square track. If length of each side is $20\text{ km}$, then his average speed in $\text{km/hour}$ is

$\text{A}$, $\text{B}$, $\text{C}$, $\text{D}$ and $\text{E}$ are sitting in a row. $\text{B}$ is between $\text{A}$ and $\text{E}$. To find out who among them is in the middle, which of the following statements $\text{P}$ and $\text{Q}$ is/are sufficient?
$\text{P.}$ $\text{A}$ is left of $\text{B}$ and right of $\text{D}$.
$\text{Q.}$ $\text{C}$ is at the right end.

Three sets of books on Maths, Science and Social Studies have $240$, $336$ and $96$ books in each set respectively. The books need to be stacked in such a way that all the books are stacked subject-wise and number of books in each stack is same. The total minimum number of stacks will then be,

What is the ratio between area of circles circumscribing a square and that of the one inscribed in the square?

A hemisphere can with internal radius of $9\text{ cm}$ is completely filled with water. Someone is requested to fill this water in a cylindrical bottle with a diameter of $3\text{ cm}$ and height of $4\text{ cm}$. The number of bottles to be required to make the can empty is

The area of a triangle, the length of whose sides are $50\text{ m}$, $78\text{ m}$ and $112\text{ m}$, is

A fisherman can row $2\text{ km}$ against the stream in $20\text{ minutes}$ and return in $15\text{ minutes}$. The speed of the boat in still water is

Gold is $19$ times as heavy as water and copper is $9$ times as heavy as water. The ratio in which these two metals are to be mixed so that the mixed alloy becomes $15$ times as heavy as water is

Direction: Read the information given below and answer the questions.
(i) In a family of six persons $\text{A, B, C, D, E}$ and $\text{F}$, there are two married couples.
(ii) $\text{D}$ is grandmother of $\text{A}$ and mother of $\text{B}$.
(iii) $\text{C}$ is wife of $\text{B}$ and mother of $\text{F}$.
(iv) $\text{F}$ is grand daughter of $\text{E}$.

Which of the following is necessarily true?

The average of first $10$ natural numbers is

A room is $26\text{ feet}$ long and $10\text{ feet}$ wide. If its floor is to be covered by square tiles, how many minimum number of tiles will be required?

A single person takes $6\text{ minutes}$ to fill a bottle. If from $11\text{ am}$ to $12.30\text{ pm}$ $1845$ bottles are to be filled, how many persons should be employed on this job?

Sanjeev walks $10\text{ metres}$ towards the south. Turning to left, he walks $20\text{ metres}$ and then moved to right. After moving a distance of $20\text{ metres}$, he turns to the right and walks another $20\text{ metres}$. Finally, he again turns to the right and moves a distance of $10\text{ metres}$. How far and in which direction is he from the starting point?

The distance between the centres of two circles of radii $1\text{ cm}$ and $7\text{ cm}$ is $10\text{ cm}$. The length of direct tangent (in $\text{cm}$) is

The length of the longest rod that can be put in a room of dimensions $10\text{ m}\times 10\text{ m}\times 5\text{ m}$ is

The angle between the external bisectors of two angles of a triangle is $60^{\circ }$, then the third angle of the triangle is

Some of the letters are missing, which are given in the order as one of the options below it. Select the correct option.
$$\text{\_\_\_\_\_\_ \_\_\_\_\_\_ a b a \_\_\_\_\_\_ \_\_\_\_\_\_ b a \_\_\_\_\_\_ ab}$$

How many more words (not necessarily meaningful) can be formed using the letters of the word RYTHM taking all at a time?

$\text{DDT}$ is related to Abbreviation in the same way as $\text{LASER}$ is related to ______.

Choose the number from the given alternatives which is different from others.

If the letters of the word RAMAKRISHNA are rearranged according to English alphabetical order, how many letters will remain in the same position after the rearrangement?

If $S=ut+\frac{1}{2}a{t}^2$ and $u=50$, $a=9.8$, $t=2$ the value of $S$ is

Direction: In each of the following questions, choose the set of numbers from four alternatives, that is similar to the given set.
Given set: $(63,49,35)$

A man makes a profit of $20\%$ on selling $20$ articles for $\text{Re. }1$. The number of articles he bought by $\text{Re. }1$ is

$\text{A}$ is twice as good a workman as $\text{B}$. $\text{A}$ and $\text{B}$ together complete a piece of work in $28\text{ days}$. In how many days will $\text{A}$ alone do the same piece of work?

The least number which when divided by $15,27,35$ and $42$ leaves a remainder of $7$ in each division is

$\text{EGIK}$ is related to $\text{WUSQ}$ in the same way as $\text{DFHJ}$ is related to ______.

In an Arithmetic Progression, if $a=28$, $d=-4$, $n=7$, then $a_n$ is:

Amal and Bimal started a business. Amal invested $\text{Rs. }500$ for $9\text{ months}$ and Bimal invested some money for $6\text{ months}$. If they make a profit of $\text{Rs. }69$ in a year and Bimal gets profit share of $\text{Rs. }46$. The capital of Bimal in the business is

Direction: In each of the following questions, there is a certain relationship between two given words on one side of $::$ and one word is given on the other side of $::$ ; while another word is to be selected from the given alternatives.
$$\text{Jeopardy : Peril :: Jealousy : ?}$$

If $x$ is a prime number, the LCM of $x$ and $(x+1)$ is

The difference of a proper fraction and its reciprocal is $\frac{7}{12}$. Find the fraction.

The missing terms in A.P.: ______, $13$, ______, $3$ are

Referring to question Q.161 in the image image_b9bd15.png, find the correct figure in which the given question figure is embedded.

Total expenses of a hostel are partly constant and partly vary directly as the number of boarders. When the number of boarders are $120$ and $100$, the total expenses are $\text{Rs. }2000$ and $\text{Rs. }1700$ respectively. Find the total number of boarders if the total expense is $\text{Rs. }1880$.

It has been seen in a survey of a region that $70$ persons read English newspaper, $73$ persons read Bengali newspaper and $64$ persons read both the papers. If $63$ persons do not read any paper, on how many people has the survey been done?

Referring to question Q.164 in image_b9bd15.png, which of the following logical diagrams correctly represents the relationship between Musicians, Instrumentalists, and Violinists?

The expression $\sqrt{248+\sqrt{52+\sqrt{144}}}$ is equal to:

The compound interest on $\text{Rs. }2,000$ in $2\text{ years}$, if the rate of interest is $4\%$ per annum for the first year and $3\%$ per annum for the second year, will be: