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LIC AAO IT – Reasoning Ability

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LIC AAO IT – Reasoning Ability

shape Introduction

Scheme of Main Examination for recruitment to the post of Assistant Administrative Officers (AAOs) - IT/ Chartered Accountant/ Actuarial in LIC is as follows:
  • Main examination will consist of objective tests for 300 marks and descriptive test for 25 marks.

  • Both the objective and descriptive tests will be online.

  • The objective test will have separate timing for every section.

  • Candidates will have to answer descriptive test by typing on the computer.

  • Descriptive test will be administered immediately after the completion of the objective test.

shape Pattern

Name of the tests Number of Questions Maximum Marks Medium of Exam Minimum Qualifying Marks Duration
SC/ST Others
Reasoning Ability 30 90 English & Hindi 40 45 40 minutes
General Knowledge, Current Affairs 30 60 English & Hindi 27 30 20 minutes
Professional knowledge 30 90 English & Hindi 40 45 40 minutes
Insurance and Financial Market Awareness 30 60 English & Hindi 27 30 20 minutes
Total 120 300 2 hour
English Language (Letter writing & Essay) 2 25 English 9 10 30 minutes

  • English Language test will be of qualifying nature and the marks in English Language will not be counted for ranking.

shape Syllabus

[Click Here] for LIC AAO IT/ Chartered Accountant/ Actuarial Reasoning Ability Syllabus.

shape Samples

Number Series
Direction (1 - 5): In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
1. 165, 195, 255, 285, 345,
    A. 375 B. 420 C. 435 D. 390

Answer: Option (C)
Explanation: Eacch number is 15 multiplied by a primev number i.e. 15 * 11, 15 * 13, 15 * 17, 15 * 19, 15 * 23. .'. Missing term = 15 * 29 = 435.
2. 9, 11, 20, 31, (…….), 82
    A. 41 B. 51 C. 60 D. 71

Answer: Option (B)
Explanation: Each term in the series is the sum of the preceding two terms. .'. Missing number = 20 + 31 = 51.
3. 5, 16, 49, 104,
    A. 115 B. 148 C. 170 D. 181

Answer: Option (D)
Explanation: The pattern is + 11, + 33, + 55,.... i.e., + (11 * 1), + (11 * 3), + (11 * 5),.... .'. Missing number = 104 + (11 * 7) = 181.
4. 3, 8, 22, 63, 185,
    A. 550 B. 310 C. 295 D. 285

Answer: Option (A)
Explanation: The pattern is * 3 - 1, * 3 - 2, * 3 - 3, * 3 - 4,.. .'. Missing number = (185 * 3 ) - 5 = 550.
5. 1, 2, 5, 12, 27, 58, 121,
    A. 246 B. 247 C. 248 D. 249

Answer: Option (C)
Explanation: The pattern is * 2 + 0, * 2 + 1, * 2 + 2, * 2 + 3, * 2 + 4, * 2 + 5,... .'. MIssing number = 121 * 2 + 6 = 248.
Coding-Decoding
1. If TAP is coded as SZO, then how is FREEZE coded?
    A. ATSSTS B. EQDDYD C. ESDDYD D. EQDDZD

Answer: Option (B)
Explanation: Clearly, T -1 = S A -1 = Z P -1 = O So FREEZE will be, F -1 E R -1 Q E -1 D E -1 D Z -1 Y E -1 D
2. In a certain code, SIKKIM is written as THLJJL, how is TRAINING written in that code?
    A. SQBHOHOF B. UQBHOIOF C. UQBHOHOI D. UQBHOHOF

Answer: Option (D)
Explanation: In the given word, the word is increasing and decreasing by one alternatively as, S +1 T I -1 H K +1 L K -1 J I +1 J M -1 L So in the same way TRAINING will be UQBHOHOF
3. In a certain language, MADRAS is coded as NBESBT, how is BOMBAY coded in that code?
    A. CPNCBZ B. CPNCBX C. DPNCBZ D. DPNCBX

Answer: Option (A)
Explanation: Clearly, every letter is increased by 1 as M +1 N A +1 B D +1 E R +1 S A +1 B S +1 T So after increasing every character in work BOMBAY by 1, we get
4. In a certain code, TRIPPLE is written as SQHOOKD. How is DISPOSE written in that code?
    A. EJTQPTF B. EJTQPTG C. CHRPNRD D. CHRONRD

Answer: Option (D)
Explanation: Clearly, every letter is decreased by 1. So DISPOSE will be CHRONRD
5. In a certain code, TOGETHER is written as RQEGRJCT. In the same code, PAROLE will be written as
    A. RYPQJG B. RCPQJG C. NCPQJG D. NCPQJC

Answer: Option (C)
Explanation: The letters at the odd positions are moved two steps backward and the letters at even positions are moved two steps forward to get the value. So PAROLE will be NCPQJG
Non-Verbal Series
1. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

    A. 1 B. 2 C. 3 D. 4 E. 5

Answer: Option (B)
Explanation: All the symbols move CW half the side of the square in each step. The symbols are replaced by new ones sequentially in an ACW direction.
2. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

    A. 1 B. 2 C. 3 D. 4 E. 5

Answer: Option (E)
Explanation: One of the pins gets inverted in each step. The pins get inverted sequentially from right to left.
3. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

    A. 1 B. 2 C. 3 D. 4 E. 5

Answer: Option (E)
Explanation: Five line segments are added in each step to complete the squares in an ACW direction.
4. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

    A. 1 B. 2 C. 3 D. 4 E. 5

Answer: Option (C)
Explanation: The number of symbols added sequentially is 3, 2, 5, 2, 7, 2,... These symbols are added to form a sequence of 1, 2, 3, 4, 5, 6 identical symbols.
5. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

    A. 1 B. 2 C. 3 D. 4 E. 5

Answer: Option (E)
Explanation: One extra line is added in each step in a set order.
Number Ranking
1. Nitin was counting down from 32. Sumit was counting upwards the numbers starting from 1 and he was calling out only the odd numbers. What common number will they call out at the same time if they were calling out at the same speed?
    A. 19 B. 21 C. 22 D. They will not call out the same number E. None of these

Answer: Option (D)
Explanation: Nitin : 32 31 30 29 28 27 26 25 24 23 22 21 20... Sumit : 1 3 5 7 9 11 13 15 17 19 21 23 25... Clearly, both will never call out the same number.
2. If the first and second digits in the sequence 5 9 8 1 3 2 7 4 3 8 are interchanged, also the third and fourth digits, the fifth and sixth digits and so on, which digit would be the seventh counting to your left?
    A. 1 B. 4 C. 7 D. 8 E. None of these

Answer: Option (D)
Explanation: The new sequence becomes 9 5 1 8 2 3 4 7 8 3. Counting to the left, the seventh number is 8.
3. The letters L, M, N, O, P, Q, R, S and T in their order are substituted by nine integers 1 to 9 but not in that order. 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. What is the integer assigned to N?
    A. 4 B. 5 C. 6 D. 7

Answer: Option (C)
Explanation: P = 4 and T - P = 5 => T = 9. T - N = 3 and T = 9 => N = 6.
4. In the following sequence of instructions, 1 stands for Run, 2 stands for Stop, 3 stands for Go, 4 stands for Sit and 5 stands for Wait. If the sequence were continued, which instruction will come next? 4 4 5 4 5 3 4 5 3 1 4 5 3 1 2 4 5 4 5 3 4 5 3
    A. Wait B. Sit C. Go D. Stop E. Run

Answer: Option (E)
Explanation: The given sequence may be analyzed as under: 4 / 45 / 453 / 4531 / 45312 / 45 / 453 / 453 Following the above sequence, the next number is 1 which stands for 'Run'.
5. If the numbers from 1 to 45 which are exactly divisible by 3 are arranged in ascending order, minimum number being on the top, which would come at the ninth place from the top?
    A. 18 B. 21 C. 24 D. 27 E. 30

Answer: Option (D)
Explanation: The required numbers in ascending order are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45. If the minimum number i.e., 3 is considered to be at the top, the ninth number from the top is 27.
Alphabet Series
1. PAT, PEN, PIN, POT?
    A. PIG B. PET C. PUT D. POT

Answer: Option (C)
Explanation: The middle letters which are vowels have an increasing trend of A, E, I, 0, U, etc.
2. A/2, B/4, C/6, D/8
    A. E/12, F/14 B. E/10, F/12 C. D/10, E/10 D. E/8, F/10

Answer: Option (B)
Explanation: Letters are in alphabetical order with numerical difference order of 2, 4, 6, 8, 10, 12, 14 etc.
3. DCXW, FEVU, GHTS, JIRQ, ?
    A. LKPO B. ABYZ C. J1RQ D. LMRS

Answer: Option (A)
Explanation: Start reading from CD, EF, GH, IJ, KL and then QR, ST, UV, WX, YZ and so on after splitting the groups.
4. C-3, E-6, G-12, I-24, K-48,?
    A. S-48 B. M-96 C. L-96 D. O-48

Answer: Option (B)
Explanation: There is a gap of one letter in all the alphabets and numbers are doubling.
5. eject, elect, epic, flower, fluent,?
    A. select B. dirty C. dummy D. flush

Answer: Option (D)
Explanation: These are meaningful words which are according to the order of the dictionary.
Directions
1. P started from his house towards the west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right and walked 15 m. After this, he is to turn right at 135o and to cover 30 m. In which direction should he go?
    A. West B. South C. South-West D. South-East

Answer: Option (C)
Explanation:

Hence he should go in the South-West direction.
2. X started to walk straight towards the south. After walking 5 m he turned to the left and walked 3 m. After this, he turned to the right and walked 5 m Now to which direction X is facing?
    A. North-East B. South C. North D. South-West

Answer: Option (B)
Explanation:

Hence X will face in the end towards South.
3. ends in a theatre straight ahead are the hospital. In which direction is the university?
    A. North B. South C. East D. West

Answer: Option (A)
Explanation:

Therefore university is in North.
4. After walking 6 km, I turned to the right and then walked 2 km. After then I turned to the left and walked 10 km. In the end, I was moving towards the North. From which direction did I start my journey?
    A. North B. South C. East D. West

Answer: Option (B)
Explanation:

The journey was started from the South.
5. One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?
    A. East B. South C. West D. Data is inadequate

Answer: Option (B)
Explanation: Sun rises in the east in the morning. Since the shadow of Suresh falls to his right. So he is facing South.
Analogy
1. Complete analogous pair: Scribble : Write : : Stammer : ?
    A. Walk B. Play C. Speak D. Dance

Answer: Option (C)
2. Complete analogous pair: Flower: Bud:: Plant:?
    A. Seed B. Taste C. Flower D. Twig

Answer: Option (A)
3. Complete analogous pair: Errata : Books:: Flaws:?
    A. Manuscripts B. Metals C. Speech D. Charter

Answer: Option (A)
4. Complete analogous pair: Gun : Bullet : : Chimney : ?
    A. Ground B. House C. Roof D. Smoke

Answer: Option (D)
5. Complete analogous pair: Breeze : Cyclone : : Drizzle : ?
    A. Earthquake B. Storm C. Flood D. Downpour

Answer: Option (D)
Arithmetical Reasoning
1. A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all?
    A. 8 B. 18 C. 9 D. 10

Answer: Option (C)
Explanation: There were all parrots but six means that six birds were not parrots but only pigeons and koels. Similarly, number of parrots + number of koels = 6 and number of parrots + number of pigeons = 6. This is possible when there are 3 parrots, 3 pigeons and 3 koels i.e. 9 birds in all.
2. When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country?
    A. 188 million B. 166 2/3 million C. 192 3/4 million D. None

Answer: Option (B)
Explanation: 5% - 2% = 3% => 3% ------ 5 million bags 100% ---- ? => 166 2/3 million bags.
3. Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
    A. 12 & 7 B. 13 & 8 C. 15 & 10 D. 14 & 9

Answer: Option (A)
Explanation: x – y = 5 4x – 6y = 6 x = 12 y = 7
4. In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family?
    A. 1 B. 2 C. 3 D. 4

Answer: Option (C)
Explanation: Assume the family has X girls and Y boys, according to the question, we can have 2 equations: X-1=Y, 2(Y-2)=X. Solve the equations, we get X=4, Y=3.
5. A girl counted in the following way on the fingers of her left hand: She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted up to 1995. Did she end counting on which finger?
    A. Thumb B. Index finger C. Ring finger D. Middle finger

Answer: Option (D)
Explanation: Clearly, while counting the numbers associated with the thumb will be 1,9,17,25,......... i.e., numbers of the form (8n + 1 ). where n=1,2,3... Since 1994 = 249 × 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger and 1995 to the middle finger.
Blood Relations
1. A party consists of grandmother, father, mother, four sons and their wives and one son and two daughters to each of the sons. How many females are there is all?
    A. 14 B. 16 C. 18 D. 24 E. None of these

Answer: Option (A)
Explanation: Grandmother is one female, the mother is another, wives of four sons are the four females and two daughters of all four sons are eight females. So, in all there are 1 + 1 + 4 + 8 = 14 females.
2. Lakshmi and Meena's are Rohan's wives. Shalini is Meena's step-daughter. How is Lakshmi related to Shalini?
    A. Sister B. Mother-in-Law C. Mother D. Step-mother E. None of these

Answer: Option (C)
Explanation: Shalini is Meena's step-daughter means Shalini is the daughter of the other wife of Rohan. So, Shalini is the daughter of Lakshmi or Lakshmi is the mother of Shalini.
3. Q is the brother of R; P is the sister of Q; T is the brother of S; S is the daughter of R. Who are the consins of Q?
    A. R and P B. P and T C. Q and T D. S and T E. None of these

Answer: Option (D)
Explanation: T is the brother of S, who is the daughter of R. So, T and S are the children of R. Now, Q is the brother of R. So, T and S are the cousins of Q.
4. E is the son of A. D is the son of B. E is married to C. C is B's daughter. How is D related to E?
    A. Brother B. Uncle C. Father-in-law D. Brother-in-law E. None of these

Answer: Option (D)
Explanation: C is B's daughter and D is B's son. So, D is the brother of C. E is a male married to C. So, E is the husband of C, whose brother is D. So, D is the brother-in-law of E.
5. C is A's father's nephew. D is A's cousin but not the brother of C. How is D related to C?
    A. Father B. Sister C. Mother D. Aunt

Answer: Option (B)
Explanation: C is A's father's nephew means C is the son of A's father's brother i.e, C is the cousin of A. D is also A's cousin. So, D must be real brother or sister of C. But D is not brother of C. So, D must be sister of C.
Decision Making
1. You Just go to know that your friend has met with an accident and hearing this you immediately leave for the accident and hearing stop along with one more friend. In a hurry, you forget to take your license and helmet. You were flagged down to stop at the traffic intersection by the traffic constable. You will?
    A. Dodge the policeman B. Stop and pay time C. Stop and reason it out with about the policeman D. Stop and use references E. None of these

Answer: Option (B)
Explanation: (B) The policeman is doing his duty. So he won’t understand your reason. Also, that could be a wastage of time. So option(C) is eliminated. Dodging the policeman is making a crime hence it is also not ethical. Using references is again not an ethical behaviour. Hence the most appropriate option is (B) as you have done mistake so you have to pay fine for it.
2. You are a team manager, you find that your employee's performance is inappropriate that induces /creates a stress for you. You should:
    A. Explore the reason of inappropriate performance and report to the higher authorities. B. Start an incentive mechanism for better Performance. C. Create an organizational culture in which the employees feel to be concerned D. Implement special Human resource training for the employees E. None of these

Answer: Option (C)
Explanation: Reporting the reasons to the higher authorities as mentioned on option (A) shows your inability to tackle the problem while options(B) and (D) do not serve the purpose effectively. For improving employees performance team managers should create an Organisational culture in which the employees feel to be concerned as mentioned in option(C). So, Option (C) is the best possible solution to this problem.
3. As a citizen, you have some work with a government department. The officials call you again and again and without directly asking you sends out feelers for a bribe. You want to get your work done you would.
    A. Give a bribe. B. Behaves as, If you have not understood the feelers and persist with your application. C. Go to the higher officer for help and verbally complaining about feelers. D. Send in a format complaint

Answer: Option (C)
Explanation: Option (A) is not correct and ethically not permitted. Option (B) will not solve your problem giving a written complaint about the feeler as mentioned in Option(D) is logically not correct. So best course of action is to go to the higher officer for help and verbally Complaining about feelers.
4. You are head of your office. Some media people come to your office and request you brief them about the pension plan of your office you will
    A. Ask the media people to come some other day B. Immediately accept the offer and brief them C. Get them turned out of your office D. Ask them to wait and to consult the officials concerned

Answer: Option (D)
Explanation: Here Options (A) and (C) are not appropriate as these are not valid on ethical grounds while option(B) is also not valid as you are the head of the office and you have to certain important tasks to accomplish in this case Option (D) would be the best course of action as there are certain officials for each work in every office. So one has to consult them.
5. While addressing people in an open ground it begins to rain your address is important and you cannot afford to postpone it what will you do? You Would
    A. Ask some one to arrange on umbrella B. Stop your address for a while C. Continue the address without bothering the rain D. Postpone it for day

Answer: Option (C)
Explanation: asking some one to arrange an umbrella as mentioned in option (A) will not be appropriate while options(B) and (D) do not serve the purpose as it is mentioned that it is important and you cannot afford to postpone it. Here in this case continuing the address without bothering the rain as mentioned in option (C) will be the best course of action.
Mirror Images
Direction (1 - 5): In each of the following questions you are given a combination of alphabets and/or numbers followed by four alternatives (1), (2), (3) and (4). Choose the alternative which is closely resembles the mirror image of the given combination.
1. Choose the alternative which is closely resembles the mirror image of the given combination.

    A. 1 B. 2 C. 3 D. 4

Answer: Option (D)
2. Choose the alternative which is closely resembles the mirror image of the given combination.

    A. 1 B. 2 C. 3 D. 4

Answer: Option (A)
3. Choose the alternative which is closely resembles the mirror image of the given combination.

    A. 1 B. 2 C. 3 D. 4

Answer: Option (A)
4. Choose the alternative which is closely resembles the mirror image of the given combination.

    A. 1 B. 2 C. 3 D. 4

Answer: Option (B)
5. Choose the alternative which is closely resembles the mirror image of the given combination.

    A. 1 B. 2 C. 3 D. 4

Answer: Option (B)
Clocks & Calendars
1. Which of the following is not a leap year?
    A. 700 B. 800 C. 1200 D. 2000

Answer: Option (A)
Explanation: The century divisible by 400 is a leap year. The year 700 is not a leap year.
2. January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
    A. Monday B. Tuesday C. Wednesday D. Sunday

Answer: Option (B)
Explanation: The year 2007 is an ordinary year. So, it has 1 odd day. 1[latex]^{st}[/latex] day of the year 2007 was Monday. 1[latex]^{st}[/latex] day of the year 2008 will be 1 day beyond Monday. Hence, it will be Tuesday.
3. January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?
    A. Monday B. Wednesday C. Thursday D. Sunday

Answer: Option (C)
Explanation: The year 2008 is a leap year. So, it has 2 odd days. 1[latex]^{st}[/latex] day of the year 2008 is Tuesday (Given) So, 1[latex]^{st}[/latex] day of the year 2009 is 2 days beyond Tuesday. Hence, it will be Thursday.
4. How many times are the hands of a clock at right angle in a day?
    A. 22 B. 24 C. 44 D. 48

Answer: Option (C)
Explanation: In 12 hours, they are at right angles 22 times. In 24 hours, they are at right angles 44 times.
5. How many times in a day, are the hands of a clock in straight line but opposite in direction?
    A. 20 B. 22 C. 24 D. 48

Answer: Option (B)
Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only). So, in a day, the hands point in the opposite directions 22 times.
Cubes and Dice
1. Choose the box that is similar to the box formed from the given sheet of paper (X).

    A. 1 only B. 2 only C. 1 and 3 only D. 1, 2, 3 and 4 only

Answer: Option (B)
Explanation: The fig. (X) is similar to the Form III. So, when the sheet in fig. (X) is folded to form a cube, then 'F' appears opposite 'B', 'E' appears opposite 'C' and 'A' appears opposite 'D' Therefore, the cube in fig. (1) which shows 'F' adjacent to 'B' the cube in fig. (3) which shows 'E' adjacent to 'C' and the cube in fig. (4) which shows 'A' adjacent to 'D' cannot be formed. Hence, only the cube in fig.(2) can be formed.
2. Choose the box that is similar to the box formed from the given sheet of paper (X).

    A. 1 only B. 2 only C. 3 only D. 4 only

Answer: Option (B)
Explanation: The fig. (X) is similar to the Form III. So, when the sheet in fig. (X) is folded to form a cube, then the half-shaded face appears opposite to the face bearing a rhombus, the face with a black circle appears opposite to one of the two blank faces and the face with a '+' sign appears opposite to the other blank face. Clearly, the cubes shown in figures (1) and (4) cannot be formed since they have the half-shaded face adjacent to the face bearing the rhombus. Also, though the cube shown in fig. (3) has faces that can appear adjacent to each other but the cube formed by folding the sheet in fig. (X) cannot be rotated to form fig. (3). Hence, the cube in fig. (3) cannot be formed. Thus, only the cube shown in fig. (2) can be formed.
3. Choose the box that is similar to the box formed from the given sheet of paper (X).

    A. 1 only B. 2 only C. 3 only D. 4 only

Answer: Option (A)
Explanation: The fig. (X) is similar to the Form II. So, when the sheet shown in fig. (X) is folded to form a cube then the two half-shaded faces lie opposite to each other, the face bearing a square lies opposite to one of the two blank faces and the face bearing a circle lies opposite to the other blank face. Therefore, the cubes shown in figures (2) and (3) which have the two half-shaded faces adjacent to each other, cannot be formed by folding the sheet shown in fig. (X). Also, though the cube shown in fig. (4) has faces that can appear adjacent to each other but the cube formed by folding the sheet in fig. (X) cannot be rotated to form the cube in fig. (4). Hence, only the cube in fig. (1) can be formed.
4. Choose the box that is similar to the box formed from the given sheet of paper (X).

    A. 2 and 3 only B. 1, 3 and 4 only C. 2 and 4 only D. 1 and 4 only

Answer: Option (B)
Explanation: The fig. (X) is similar to the Form V. So, when the sheet in fig. (X) is folded to form a cube, then the face bearing a dot lies opposite to one of the shaded faces. Therefore, the cube shown in fig. (2) which has both the shaded faces adjacent to the face bearing the dot, cannot be formed. Hence, the cubes shown in figures (1), (2) and (4) can be formed.
5. Choose the box that is similar to the box formed from the given sheet of paper (X).

    A. 1 and 2 only B. 2, 3 and 4 only C. 4 only D. 3 and 4 only

Answer: Option (D)
Explanation: The fig. (X) is similar to the Form V. So, when the sheet in fig. (X) is folded to form a cube, then the face bearing a square lies opposite to the face bearing a circle. Therefore, the cubes shown in figures (1) and (2) which have the faces bearing the square and the circle adjacent to each other, cannot be formed. Hence, only the cubes in figures (3) and (4) can be formed.
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