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WBCS Mains 2018 Official Paper-VI

Medium 200 Questions 151 min 200 marks

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The ratio of velocity of hour's hand and minute's hand of a clock is
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If a square and a rectangle have the same perimeter and their areas are and respectively, then
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A parallelogram, a rectangle and a triangular region stand on the same base and between the same parallels. If their areas are , and respectively, then
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Babu made a loss by selling toffees for . How many toffees should he sell for to get a profit?
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If is divisible by , then the value of is
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Which of the following geometric figures has diagonals equal in length?
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If , find the value of .
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The sum of all two-digit numbers divisible by is
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The number is a
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and are
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The value of is
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The two equations and have
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A small business owner took a loan of from his friend. He repays the principal along with interest, totaling , after day. The rate of simple interest per annum is
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The measures of two angles of a triangle are and . The circular value (in radians) of the third angle is
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If the length of the shadow of a post on the ground is times its height, then the angle of elevation of the Sun is
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If the numerical values of the total surface area and the volume of a cube are equal, then the length of its diagonal is
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If we subtract from , the value is
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A boy recorded the weight of some of his friends as , , , , , , , , , , . What is the median weight?
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The number of coconuts plucked from each tree is more than the total number of coconut trees in Anil's garden. If the total number of coconuts plucked is , find the total number of coconut trees in the garden.
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A regional survey showed that persons read an English newspaper, persons read a Bengali newspaper, and persons read both papers. If persons do not read any newspaper, how many people were surveyed in total?
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Through the publicity of road safety programmes, the street accidents in a state have decreased by in comparison to its previous year. In the present year, if the number of street accidents is , the number of street accidents that had been in the state years before was:
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A hemispherical can with an internal radius of is completely filled with water. Someone is requested to fill this water into cylindrical bottles, each with a diameter of and a height of . The number of bottles required to empty the can is:
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The length of the radius of a spherical gas balloon increases from to as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is:
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Total expenses of a hostel are partly constant and partly vary directly as the number of boarders. When the number of boarders is and , the total expenses are and respectively. Find the total number of boarders if the total expense is .
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Amal and Bimal started a business. Amal invested for months and Bimal invested some money for months. If they make a total profit of in a year and Bimal gets a profit share of , the capital invested by Bimal in the business is:
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, , and entered into a partnership business by investing , , and respectively for a certain period of time. If receives as annual profit, what amount will receive as his share in the profit?
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The sum of the digits of a two-digit number is . When the digits are interchanged, the resulting number is more than the original number. What is the original two-digit number?
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The sum of three consecutive multiples of is . What is the largest number among them?
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is equal to:
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The product of two numbers is and their is . The of the numbers is:
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A merchant has of sugar, part of which he sells at profit and the rest at profit. He gains on the whole transaction. The quantity sold at profit is:
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If the cost price of pens is equal to the selling price of pens, the gain percentage is:
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What is the smallest number to be subtracted from in order to make it a perfect square?
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If , then ?
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If the number is completely divisible by , then the smallest whole number in place of will be:
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In an examination, it is required to get marks of the aggregate marks to pass. A student gets marks and is declared failed by marks. What are the maximum aggregate marks a student can get?
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What is the volume of the cube (in cubic ) whose diagonal measures ?
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How much time will it take for an amount of to yield as interest at per annum of simple interest?
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The compound interest on at per annum is . The time period (in years) is:
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What is the difference between the compound interests on for years at per annum compounded yearly and half-yearly?
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A man bought a house for Rs. lakhs and rents it. He puts of each month’s rent aside for repairs, pays Rs. as annual taxes and realises on his investment thereafter. The monthly rent of the house is
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A trader mixes three varieties of groundnuts costing Rs. , Rs. and Rs. per kg in the ratio in terms of weight and sells the mixture at Rs. per kg. What percentage of profit does he make?
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Which of the following ratios is greatest?
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If the edge of a cube is increased by then percentage increase in its surface area is
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A river deep and wide is flowing at the rate of per hour. The amount of water that runs into the sea per minute (in cubic meter) is
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When the numerator of a fraction increases by , the fraction increases by . The denominator of the fraction is
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Average of ten positive numbers is . If each number is increased by , then
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A cricket team won matches more than they lost. If a Win gives them points and Loss point, how many matches, in all, have they played if their score is ?
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Free books were distributed equally among children of a class. The number of books each child got was one-eighth of the number of children. Had the number of children been half, each child would have got books. How many books were distributed in total?
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If the total interest becomes Rs. for any principal having the rate of simple interest of per annum for years then the principal will be
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If the length of radius of a right circular cylinder is doubled and height is halved, the lateral surface area will be
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The length of a radius of a circle is and the length of a chord of the circle is , the distance of the chord from the center of the circle is
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The diagonals and of the rhombus intersect each other at the point . What is the value of ?

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If , and are collinear then
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In a trapezium , , , , and . If represents an isosceles right-height variant configuration where the non-parallel perpendicular height standard provides direct bounds, let's establish the calculation step using standard geometric parameters. Given structural norms for this platform textbook layout, evaluating the area directly via standard isosceles right drop properties gives .

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A plot of is available at the rate of Rs. per sq.ft. If of the total cost of the plot is to be paid for booking the plot, how much is the booking amount?
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A single person takes minutes to fill a bottle. If from 11 am to 12.30 pm bottles are to be filled, how many persons should be employed on this job?
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If an amount of Rs. is distributed equally amongst children, how much amount would each child get?
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If area of circular field is sq. unit, perimeter is unit and length of diameter is unit then the value of is
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The value of is equal to:
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If and , , , then the value of is:
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A circular lawn has an area of . A path of width surrounds the lawn. What is the area of the lawn including the path (in )?
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Sushant spent of his monthly salary on buying electronic goods and of the monthly salary on repair work in his house. Out of the remaining amount, he invested in a fixed deposit. If he was left with , how much is his annual salary?
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Present ages of Neha and Rashmi are in the ratio of respectively. Six years hence, the ratio of their ages will become respectively. What is Rashmi's present age?
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A is twice as good a workman as B. A and B together complete a piece of work in days. In how many days will A alone do the same piece of work?
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A boatman can row a boat downstream and upstream at and respectively. What will be the speed of the boat in still water (in )?
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Ram was asked to find of a fraction but he mistakenly divided the fraction by . As a result, the difference between the answers was . What should be Ram’s correct answer?
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If a man runs from his house, he misses the train at the station by . If he runs at , he reaches the station earlier than the departure of the train. What is the distance of the station from his house (in )?
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The area of a circle is . What will be its circumference?
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The square of a number is more than times of itself. Find the number.
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What will come in place of the question mark in the following series?
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Total price of and is while that of and is . Find out the price of .
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If the product of two successive positive integers is , which is the greatest integer?
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If , then is equal to:
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Ankur invested a sum of for four years in a financial scheme. The rate of interest in the scheme is per annum compounded yearly for the first two years and per annum for the 3rd and 4th years compounded yearly. What will be the cumulative compound interest at the end of 4 years?
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is equal to:
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If is the temperature on a Centigrade thermometer and is the temperature on a Fahrenheit thermometer, and they are related by , find the numerical temperature whose value is exactly identical on both thermometers.
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If , the value of is
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Rohan appeared for the Global Talent Search Examination wherein marks are awarded for every correct answer and mark is deducted for every wrong answer. Rohan attempted all the questions and secured marks. What would have been his score if there was no negative marking?
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Each of the five persons possesses an unequal number (less than ) of similar items. possess items in all, while possess items in all. How many items do and possess in all?
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It costs Rupee to photocopy a sheet of paper. However, a discount is allowed on all photocopies done after the first sheets. The discount increases to for all photocopies exceeding sheets. How much will it cost to copy sheets of paper?
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A contractor employed labourers, both male and female. Each female labourer receives as daily wages while each male labourer receives as daily wages. If the contractor distributes daily as wages, how many more female labourers did he employ than male labourers?
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A girl counted in the following way on the fingers of her left hand:
She started by calling the thumb , the index finger , the middle finger , the ring finger , the little finger and then reversed direction calling the ring finger , the middle finger and so on. She counted up to . She ended counting on which finger?
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Two poles of heights and stand vertically on a plane ground. If the distance between their feet is , what is the distance between their tops?
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At the 'Shoot and Win' stall in a fair, fires shots to 's , but hits the target only once in three shots while hits once in shots. When has missed times, how many times has hit his target?
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For her parents' 50th wedding anniversary celebration, Malina decides to buy balloons. Her supplier only sells balloons in bunches of for and bunches of for . Malina buys exactly balloons. What is the total price she pays?
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If and , what is the greatest possible value of ?
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A circular copper wire of radius is bent to form a rectangle. If the breadth and length of the rectangle are in the ratio of respectively, what is the breadth of the rectangle? (in )
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is equal to
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There are five positive observations. The average of the first three observations is and that of the last three observations is . If the average of all five observations is , what is the third observation?
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A survey shows that of the Indians like apples, whereas like oranges. What percentage of Indians like both apples and oranges?
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A man saved in years. In each year after the first year he saved more than he did in the preceding year. How much did he save in the first year?
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A horse is tied to a post by a rope. If the horse moves along a circular path, always keeping the rope tight, and describes when it traces at the centre, then the length of the rope is
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What value of ensures that the two roots of the quadratic equation are reciprocal to each other?
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The present price of a machine is . If the price of the machine increases by each year, the price of the machine after years will be
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Ramen deposits on the first day of every month in a monthly savings scheme. In this way, he has deposited money for year. If the rate of simple interest is per annum, then the total amount he will get at the end of the year is
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If , the value of is
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is related to in the same way as is related to:
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Choose the odd one out:
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In a certain code language is written as . How would be written in that code?
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In a code language, is written as and is written as . How can be written in that code?
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In a certain code, is written as 8\ \%6 \text{MORE} 7\#8@ \text{REMAIN}$ written in that code?
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, , , , and are sitting around a circular table facing the center. is to the immediate right of and is second to the left of . is not between and . Who is second to the left of ?
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Two buses start from opposite points on a straight main road that is apart. The first bus runs for , takes a right turn, and runs for . It then turns left, runs for another , and then takes a turn to head back to reach the main road. In the meantime, due to a minor breakdown, the second bus has run only along the main road. What is the distance between the two buses at this point?
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Consider the following statements:
(i) Six flats on a floor in two rows facing North and South are allotted to , , , , and .
(ii) gets a North facing flat and is not next to .
(iii) and get diagonally opposite flats.
(iv) , next to , gets a South facing flat and gets a North facing flat.

Which of the following combinations get South facing flats?
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Which of the following sets is best represented by a standard Venn diagram consisting of three concentric circles?
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In a Venn diagram layout where a square represents women, a triangle represents corporate managers, and a circle represents MBAs, which numbered region represents women who are both MBAs and corporate managers?

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If 'white' is called 'blue', 'blue' is called 'red', 'red' is called 'yellow', 'yellow' is called 'green', 'green' is called 'black', 'black' is called 'violet', and 'violet' is called 'orange', what would be the color of human blood?
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In a certain code language ‘617’ means ‘sweet and hot’, ‘735’ means ‘coffee is sweet’ and ‘263’ means ‘tea is hot’. Which of the following would mean ‘coffee is hot’?
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Pointing to a lady in a photograph, Shaloo said, “Her son’s father is the son-in-law of my mother.” How is Shaloo related to the lady?
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Six members of a family namely , , , , , and are travelling together. is the son of but is not the mother of . and are a married couple. is the brother of . is the daughter of . is the brother of . How many male members are there in the family?
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Consider the following profiles of student proficiencies:
(i) and are good in Dramatics and Computer Science.
(ii) and are good in Computer Science and Physics.
(iii) , and are good in Physics and History.
(iv) and are good in Physics and Mathematics.
(v) and are good in History and Dramatics.

Who is good in Physics, History, and Dramatics?
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How many such are there in the following number sequence, each of which is immediately preceded by or but not immediately followed by or ?
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If it is possible to form a number with the second, the fifth, and the eighth digits of the number , which is a perfect square of a two-digit even number, which of the following will be the second digit of that even number?
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Rohan ranks seventh from the top and twenty-sixth from the bottom in a class. How many students are there in the class?
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If was a Thursday, what was the day of the week on ?
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If , , and , find the value of the expression:
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Which of the following descriptions represents the best Venn diagram relation among Tiger, Four-footed, and Elephant?

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If the letters in the word POWERFUL are rearranged as they appear in the English alphabets, the position of how many letters will remain unchanged after the rearrangement?
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Select the combination of numbers so that the letters arranged accordingly will form a meaningful word:
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From the given alternatives select the word which cannot be formed using the letters of the given word:
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Given the arrangement:


If all the symbols are dropped from the arrangement, then which will be the element from the right end of the given arrangement?
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Complete the given figure matrix by choosing the correct option:

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Complete the given matrix by finding the missing box:

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Four different positions of the same dice are shown below. Find the number on the face opposite the face showing 4.

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Two positions of a block are shown below:

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When six is at the bottom, what number will be at the top?
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Which term of the series is ?
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A is years younger than C but one year older than D. D is one year older than B but years younger than C. C is years old. What is the age of B in years?
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A girl counted in the following way on the fingers of her left hand: She started by calling the thumb , the index finger , middle finger , ring finger , little finger and then reversed direction calling the ring finger , middle finger and so on. She counted up to . She ended counting on which finger?
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By logic, which of the actions follows from the statement?
Statement: Youngsters are often found staring at obscene posters.
Courses of Action:
(i) Youngsters should be punished and penalized if they are found doing so.
(ii) Any display of such material should be banned.
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It is observed that children of successful and well-to-do parents sometimes do not perform well in studies. Which one of the following alternatives offers a logical underlying reason behind it?
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Choose the odd one out:
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Choose the word which is different from the rest:
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Statement: India has been continuously experiencing military threats from its neighbouring countries.
Courses of action:
I. India should engage in an all-out war to stop the nagging threats.
II. India should get the neighbours into a serious dialogue to reduce the tension at its borders.
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Statement: There has been a large number of cases of internet hacking in the recent months creating panic among the internet users.
Courses of action:
I. The government machinery should make an all-out effort to nab those who are responsible and put them behind bars.
II. The internet users should be advised to stay away from using internet till the culprits are caught.
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Statement: The Officer In-charge of a Company had a hunch that some money was missing from the safe.
Courses of action:
I. He should get it recounted with the help of the staff and check it with the balance sheet.
II. He should inform the police.
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Direction: Study the given information carefully and answer the question that follows:
(i) A, B, C, D, E, F and G are sitting on a wall and all of them are facing east.
(ii) C is on the immediate right of D.
(iii) B is at an extreme end and has E as his neighbour.
(iv) G is between E and F.
(v) D is sitting third from the south end.

Immediately between which of the following pairs of people is D sitting?
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Direction: Study the given information carefully and answer the question that follows:
(i) A, B, C, D, E, F and G are sitting on a wall and all of them are facing east.
(ii) C is on the immediate right of D.
(iii) B is at an extreme end and has E as his neighbour.
(iv) G is between E and F.
(v) D is sitting third from the south end.

Which of the conditions (i) to (v) given above is not required to find out the place in which A is sitting?
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Direction: Study the given information carefully and answer the question that follows:
(i) A, B, C, D, E, F and G are sitting on a wall and all of them are facing east.
(ii) C is on the immediate right of D.
(iii) B is at an extreme end and has E as his neighbour.
(iv) G is between E and F.
(v) D is sitting third from the south end.

Who is sitting to the right of E?
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Direction: Study the given information carefully and answer the question that follows:
(i) A, B, C, D, E, F and G are sitting on a wall and all of them are facing east.
(ii) C is on the immediate right of D.
(iii) B is at an extreme end and has E as his neighbour.
(iv) G is between E and F.
(v) D is sitting third from the south end.

Which of the following pairs of people are sitting at the extreme ends?
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Direction: Study the given information carefully and answer the question that follows:
(i) A, B, C, D, E, F and G are sitting on a wall and all of them are facing east.
(ii) C is on the immediate right of D.
(iii) B is at an extreme end and has E as his neighbour.
(iv) G is between E and F.
(v) D is sitting third from the south end.

Name the person who should change place with C such that C gets the third place from the north end.
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Among four friends A, B, P and Q (each earning a different amount), who earns the most?
(I) P earns more than A but less than both B and Q.
(II) B earns more than P but less than Q. A does not earn the most.
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Assertion (A): Graphite is slippery and is used as a lubricant.
Reason (R): Graphite has free electrons.
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Assertion (A): The use of chlorofluorocarbons is banned throughout the world nowadays.
Reason (R): These chemicals cause skin cancer.
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Assertion (A): Indus Valley people knew the art of navigation.
Reason (R): Indus Valley seals indicate prevalence of overseas trade.
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Assertion (A): The pouring of kerosene oil on stagnant pools helps to eradicate malaria.
Reason (R): The kerosene oil is poisonous for the mosquitoes.
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Assertion (A): When lightning strikes, the sound is heard a little after the flash is seen.
Reason (R): The velocity of light is greater than that of sound.
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What is the number of straight lines in the following figure?
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How many parallelograms are there in the following figure?
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Find the number of quadrilaterals in the given figure.
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What is the number of pentagons in the given figure?
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In the following question, you are given a combination of alphabets and/or numbers followed by four alternatives (A), (B), (C) and (D). Choose the alternative which most closely resembles the water image of the given combination:
DISC
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In the following question, you are given a combination of alphabets and/or numbers followed by four alternatives (A), (B), (C) and (D). Choose the alternative which most closely resembles the water image of the given combination:
AIM3b
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In the following question, you are given a combination of alphabets and/or numbers followed by four alternatives (A), (B), (C) and (D). Choose the alternative which most closely resembles the mirror image of the given combination:
WHITE
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A clock seen through a mirror shows quarter past three. What is the correct time shown by the clock?
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In the following question, you are given a combination of alphabets and/or numbers followed by four alternatives (A), (B), (C) and (D). Choose the alternative which most closely resembles the mirror image of the given combination:

image
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Count the number of cubes in the given figure:

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Logical reasoning:
a. Some women are smart.
b. All smart women are good looking.
c. Monika is a woman.
d. Monika is smart.
e. Monika is good looking.
f. All women are good looking.

Choose the valid sequence of statements that forms a logically sound argument:
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Consider the given statements and conclusions. Choose the option that logically follows from the statements.
Statements:

* No layer is a coat.
* All coats are deposits.
* All deposits are sheets.

Conclusions:
I. All coats are sheets.
II. All deposits can never be layer.
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Arrange the following words in a logical and meaningful order:
1. Euphoria
2. Happiness
3. Ambivalence
4. Ecstasy
5. Pleasure
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Which of the following options represents the correct ascending order of the given terms?
1. Trillion
2. Thousand
3. Billion
4. Hundred
5. Million
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In a certain office, of the workers are women, of the women are married, and of the married women have children. If of the men are married and of the married men have children, what part of the workers are without children?
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The age of a father is twice that of his elder son. Ten years hence, the age of the father will be three times that of his younger son. If the difference between the ages of the two sons is , the current age of the father is:
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Find the missing character in the following circular/triangular pattern sequence. Going clockwise, the numbers are:

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In a group of persons travelling in a bus, persons can speak French, can speak Spanish and can speak English. In that group, none can speak any other language. If persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group?
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If and , then it is definite that
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Find the missing character:

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If in an examination hall, you find that the question paper is too tough to be answered satisfactorily by you, the best thing to do for you is to:
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A song always has:
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A chocolate always has:
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Find the correct group of signs to solve the equation:
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Which one of the following expressions is correct?
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If , then is equal to:
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The missing term in the series is:
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A tree tall casts a long shadow. At the same time, a flag pole casts a long shadow. How long is the flag pole?
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Major is related to Lieutenant in the same way as Squadron Leader is related to:
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Select the lettered pair that has the same relationship as the original pair of words:
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If , then the value of is:
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Starting from a point, Kalidas walked North, he turned right and walked , he again turned right and walked , then he turned left and walked . How far is he now and in which direction from the starting point?
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Consider the following propositions and conclusions:
Propositions:

* Some garnets are stones.
* Some stones are diamond.
* No diamond is a gem.

Conclusions:

1. Some gems are pearls.
2. Some gems are diamond.
3. No gem is a diamond.
4. No gem is a garnet.

Choose the correct alternative:
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Find the missing term in the sequence:
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Which term comes next in the alphanumeric series?
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Find the next term in the alpha-numeric series:
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Moon : Satellite :: Earth : ?
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Which of the following items belongs to the same logical group as: ?
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Find the correct alternative containing the identical relationship group:
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If is coded as , then which word corresponds to the code ?
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Money : Misappropriation :: Writing : ?
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Kidney : Nephron :: Central Nervous System : ?
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