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LIC AAO Rajbhasha – Reasoning Ability

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LIC AAO Rajbhasha – Reasoning Ability

shape Introduction

Scheme of Main Examination for recruitment to the post of Assistant Administrative Officers (AAOs) - Rajbhasha 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
Knowledge of Language (Descriptive) 2 25 English & Hindi 9 10 30 minutes

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

shape Syllabus

[Click Here] for LIC AAO Rajbhasha Reasoning Ability Syllabus.

shape Samples

Number Series
1. Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
    A. 7 B. 10 C. 12 D. 13

Answer: Option (B)
Explanation: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
2. Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
    A. 20 B. 22 C. 23 D. 26

Answer: Option (B)
Explanation: This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.
3. Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
    A. 14 B. 15 C. 21 D. 23

Answer: Option (B)
Explanation: In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.
4. Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
    A. 15 B. 14 C. 13 D. 12

Answer: Option (A)
Explanation: This is a simple alternating subtraction series, which subtracts 2, then 5.
5. Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
    A. 4.2 B. 4.4 C. 4.7 D. 5.1

Answer: Option (C)
Explanation: In this simple addition series, each number increases by 0.8.
Coding-Decoding
1. If COMPLETED is coded as MOCELPDET, then DIRECTION will be coded as :
    A. RIDTCENOJ B. SIDTCENOI C. RIDTCENOI D. RIETCENOI

Answer: Option (C)
Explanation: In a given word, the word is divided into three parts like COM+PLE+TED, then these parts are written in reverse order as MOC+ELP+DET So DIRECTION will be DIR+ECT+ION, which will be RIDTCENOI
2. If in a certain language, COUNSEL is coded as BITIRAK, how is GUIDANCE written in that code?
    A. EOHYZJBB B. FOIYZJBB C. FOHYZJBB
D. None of the above
Answer: Option (C)
Explanation: The letters at odd positions are each moved one step backward, while the letters at even positions are respectively moved six, five, four, three, two,... steps backward to obtain the corresponding letters of the code.
3. If FRIEND is coded as HUMJTK, how is CANDLE written in that code?
    A. EDRIRL B. DCQHQK C. DEQJQM D. FYOBOC

Answer: Option (A)
Explanation: The first, second, third, fourth, fifth and sixth letters of th word are respectively moved two, three, four, five, six and seven steps forward to obtain the corresponding letters of the code. So CANDLE will be coded as EDRIRL.
4. In a coded language COMPUTER is written as RETUPMOC. How is MACHINE written in the same code
    A. DHFTCHS B. HGTIRDM C. ENIHCAM D. HGRMSCH

Answer: Option (C)
Explanation: Letters are reversed.
5. If JOSEPH is coded as FKOALD, then GEORGE will be coded as :
    A. CAKNCA B. HAKNCA C. CBKNCA D. CALNCA

Answer: Option (A)
Explanation: Each letter of the word is moved four steps back to decode it. So GEORGE will be CAKNCA
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 (C)
Explanation: In each step, the pin rotates 90[latex]^{0}[/latex]CW and the arrow rotates 90[latex]^{0}[/latex]ACW.
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 (B)
Explanation: In one step, the figure gets laterally inverted and one line segment is lost from the upper end of the RHS portion of the figure. In the next step, the figure gets laterally inverted and one line segment is lost from the upper end of the LHS portion of the figure.
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 (D)
Explanation: All the elements move half-a-side of the square boundary in ACW direction in each step. Also, first, third and fifth elements are replaced by new elements in one step and second, fourth and sixth elements are replaced by new elements in the next step. The two steps are repeated alternately.
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 (E)
Explanation: In the first step, the ACW end element moves two spaces (each space is equal to half-a-side of the square boundary) in an ACW direction. In the second step, the CW-end element moves three spaces ACW. In the third step, the remaining element moves four spaces ACW. The three steps are repeated to continue the series.
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 (D)
Explanation: In each step, all the elements move to the adjacent corner (of the square boundary) in a CW direction and the element that reaches the upper-left corner gets vertically inverted.
Number Ranking
1. Which is the third number to the left of the number which is exactly in the middle of the following sequence of numbers? 1 2 3 4 5 6 7 8 9 2 4 6 8 9 7 5 3 1 __ 9 8 7 6 5 4 3 2 1
    A. 3 B. 4 C. 5 D. 6 E. 7

Answer: Option (B)
2. How many 3’s are there in the following sequence which is neither preceded by nor immediately followed by 9? 9 3 6 6 3 9 5 9 3 7 8 9 1 6 3 9 6 3 9
    A. One B. Two C. Three D. Four E. None of these

Answer: Option (E)
3. Count each 7 which is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 7’s are there? 5 7 2 6 5 7 3 8 3 7 3 2 5 7 2 7 3 4 8 2 6 7 8
    A. 2 B. 3 C. 4 D. 5

Answer: Option (A)
4. How many 6’s are there in the following series of numbers which are preceded by 7 but not immediately followed by 9? 6 7 9 5 6 9 7 6 8 7 6 7 8 6 9 4 6 7 7 6 9 5 7 6 3
    A. One B. Two C. Three D. Four

Answer: Option (C)
5. How many 7’s are there in the following series which are not immediately followed by 3 but immediately preceded by 8? 8 9 8 7 6 2 2 6 3 2 6 9 7 3 2 8 7 2 7 7 8 7 3 7 7 9 4
    A. 10 B. 3 C. 2 D. 0 E. None of these

Answer: Option (C)
Alphabet Series
1. SAB, ?, QCD, PDD, OEF, NFF
    A. CBT B. ABR C. BCT D. RBB

Answer: Option (D)
Explanation: First letter in every group is in reverse alphabetical order i.e. SRQPON. The middle letter is in alphabetical order i.e ABCDEF and the last letter has pairs, BB, DD & FF.
2. WYB, XUD, YQF, ...
    A. HZM B. HCZ C. ZMH D. None of these

Answer: Option (C)
Explanation: Divide each member of series in this way: B D F H and so on (one gap) in ascending order, Y U Q M and so on (three gaps) in descending order, WX Y Z and so on (no gap) in ascending order
3. xy _ z _ xxyx _ px _ yxzpx _ yxzpx
    A. xpzxx B. yxyzx C. yxzpx D. zyxpy

Answer: Option (A)
Explanation: The series is xyxzpx/xyxzpx/xyxzpx/xyxzpx. Thus, the pattern ' xyxzpx' is repeated.
4. JAF, JEF, JIF, JOF, ?
    A. PIG B. PET C. JUF D. POT

Answer: Option (C)
Explanation: The middle letters which are vowels have an increasing trend of A, E, I, O, U and remaining letters have been retained as it is.So answer would be JUF.
5. WXCD, UVEF, STGH, QRIJ, ?
    A. OPKL B. AYBZ C. JIRQ D. LRMS

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.
Directions
1. Amit started walking positioning his back towards the sun. After some time, he turned left, then turned right and towards the left again. In which direction is he going now?
    A. North or South B. East or West C. North or West D. South or West

Answer: Option (A)
Explanation:

If he starts walking the morning then finally he will face towards the South and if he starts in the evening then finally he will face towards the North.
2. Rohit walked 25 m towards the south. Then he turned to his left and walked 20 m. He then turned to his left and walked 25 m. He again turned to his right and walked 15 m. At what distance is he from the starting point and in which direction?
    A. 35 m East B. 35 m North C. 30 m West D. 45 m East

Answer: Option (A)
Explanation:

Required Distance = AE = 20 + 15 = 35m towards east
3. Village Q is to the North of the village P. The village R is in the East of Village Q. The village S is to the left of the village P. In which direction is the village S with respect to village R?
    A. West B. South-West C. South D. North-West

Answer: Option (B)

S is to the South-West of R.
4. Sachin walks 20 km towards North. He turns left and walks 40 km. He again turns left and walks 20 km. Finally, he moves 20 km after turning to the left. How far is he from his starting position?
    A. 20 km. B. 30 km. C. 50 km. D. 60 km.

Answer: Option (A)

Required distance = 40 - 20 = 20 km.
5. From his house, Lokesh went 15 km to the North. Then he turned west and covered 10 km. Then he turned south and covered 5 km. Finally turning to the east, he covered 10 km. In which direction is he from his house?
    A. East B. West C. North D. South

Answer: Option (C)

Therefore, it is clear that he is in the North of his house.
Analogy
1. Careful is to cautious as boastful is to
    A. arrogant B. humble C. joyful D. suspicious

Answer: Option (A)
Explanation: Careful and cautious are synonyms (they mean the same thing). Boastful and arrogant are also synonyms. The answer is not (choice b) because of humble means the opposite of boastful. The answer is not choice c or d because neither means the same as boastful.
2. The pen is to the poet as a needle is to
    A. thread B. button C. sewing D. tailor

Answer: Option (D)
Explanation: A pen is a tool used by a poet. A needle is a tool used by a tailor. The answer is not choice a, b, or c because none is a person and therefore cannot complete the analogy.
3. Secretly is to openly as silently is to
    A. scarcely B. impolitely C. noisily D. quietly

Answer: Option (C)
Explanation: Secretly is the opposite of openly, and silently is the opposite of noisily. Choices a and b are clearly not the opposites of silently. (Choice d) means the same thing as silently.
4. Embarrassed is to humiliate as frightened is to
    A. terrified B. agitated C. courageous D. reckless

Answer: Option (A)
Explanation: If someone has been humiliated, they have been greatly embarrassed. If someone is terrified, they are extremely frightened. The answer is not choice b because an agitated person is not necessarily frightened. Choices c and d are incorrect because neither word expresses a state of being frightened.
5. Pride is to the lion as shoal is to
    A. teacher B. student C. self-respect D. fish

Answer: Option (D)
Explanation: A group of lions is called a pride. A group of fish swims in a shoal. Teacher (choice a) and student (choice b) refer to another meaning of the word school. The answer is not (choice c) because self-respect has no obvious relationship to this particular meaning of school.
Arithmetical Reasoning
1. In a college, there are 34 girls who have car. If these constitute one fifth of the girls and the total no. of girls is two-fifth of the total no. of students in the college, what is the no. of boys in the college?
    A. 425 B. 220 C. 185 D. 255

Answer: Option (D)
Explanation: Let the number of girls be x. So, (1/5) x = 34 or x = 34 x (5/1) = 170. If total no. of students is y, then (2/5) y = 170 or y = 170 x (5/2) = 425. Therefore, Number of boys in the college = (425 - 170) = 255
2. Joseph is now 1/4[latex]^{th}[/latex] times as old as his mother Ketty. Four years hence, his mother will be three times as old as her son. The age of his mother Ketty (in years) is
    A. 32 B. 35 C. 8 D. 24

Answer: Option (A)
Explanation: Let Joseph’s mother Ketty age be 4x years. Then, Joseph’s age = x years. Four years hence, Joseph's age = (x + 4) years and Joseph’s mother Ketty age = (4x + 4) years. So, 4x+4= 3 (x+4) 4x-3x= 12-4; x = 8. Joseph's mother Ketty age = 4x= 4 x 8=32 years
3. A director's total salary is sum of his rent charges, deposits and expenditure. During one month his deposits is equal to expenditure which is 2/3 of rental charges. What fraction of his total income saves in deposits?
    A. 4/9 B. 5/4 C. 5/8 D. 2/7

Answer: Option (D)
Explanation: Let Rent charges= Rs.x, Deposits = Expenditure= Rs. 2/3 x Salary =Rental Charges+ Deposits + Expenditure = x + (2/3)x + (2/3)x = (7/3)x Required Fraction = (2x / 3) x (3/7x) = 2/7
4. Rina & Rohit are playing a game, Rina writes down all the natural numbers from 1 to 100, then Rohit has to calculate how many times does she write four?
    A. 11 B. 18 C. 20 D. 21

Answer: Option (C)
Explanation: From 1 to 100, there are exactly 10 numbers with 4 as their tens digit – 40, 41, 42 ,43 ,44, 45,46,47,48,49 ; and 10 numbers with 4 as their unit digit: 4,14,24,34,44, 54,64,74,84,94 So, the required number of numbers = 10 + 10 = 20.
5. At Anoop’s Birthday party, there are exactly 57 persons including Anoop. They shake hand with each other. Find the total number of handshakes.
    A. 1956 B. 1599 C. 1965 D. 1596

Answer: Option (D)
Explanation: 1[latex]^{st}[/latex] person shakes hand with 56 persons, 2[latex]^{nd}[/latex] person shakes hand with 55 persons because he already shakes hand with the 1st person. And 3rd person shakes hand with 54 and so on. Therefore, total number of handshakes = 56+55+54+…….+3+2+1 = 1+2+3+…………….+54+55+56 Formula for sum of Natural numbers= n(n+1) / 2 Total number of hand shakes = Sum of 56 natural numbers= 56(56+1) / 2 = 56x57/2 = 1596.
Blood Relations
1. Pointing to a photograph Anjali said, "He is the son of the only son of my grandfather." How is the man in the photograph related to Anjali?
    A. Brother B. Uncle C. Son D. Data is inadequate

Answer: Option (A)
Explanation: The man in the photograph is son of Anjali's grandfather's son i.e., the son of Anjali's father. Hence, the boy is the brother of Anjali.
2. Pointing to a person, Deepak said, "His only brother is the father of my daughter's father". How is the person related to Deepak?
    A. Father B. Grandfather C. Uncle D. Brother-in-law

Answer: Option (C)
Explanation: Father of Deepak's daughter's father → Deepak's father. Hence, the person in the brother of Deepak's father. Therefore, the person is the uncle of Deepak.
3. P is the mother of K; K is the sister of D; D is the father of J. How is P related to J?
    A. Mother B. Grandmother C. Aunt D. Data inadequate

Answer: Option (B)
Explanation: P is the mother of K K is the sister of D D is the father of J. Therefore, J is the nephew or niece of K and P is the grandmother of J.
4. If P $ Q means P is the father of Q; P # Q means P is the mother of Q and P * Q means P is the sister of Q, then N # L $ P * Q shows which of the relation of Q to N?
    A. Grand son B. Grand daughter C. Nephew D. Data is inadequate

Answer: Option (D)
Explanation: As the sex of Q is not known, hence, data is inadequate.
5. If A $ B means A is the brother of B; A @ B means A is the wife of B; A # B means A is the daughter of B and A * B means A is the father of B, which of the following indicates that U is the father-in-law of P?
    A. P @ Q $ T # U * W B. P @ W $ Q * T # U C. P @ Q $ W * T # U D. P @ Q $ T # W * U

Answer: Option (A)
Explanation: P @ Q → P is the wife of Q ...(1) Q $ T → Q is the brother of T ...(2) T # U → T is the daughter of U Hence, → Q is the son of U ...(3) U * W → U is the father of W. From (1) and (3), U is the father-in-law of P.
Decision Making
1. 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.
2. While addressing people in 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 someone to arrange on the 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 someone 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.
3. A group effort of generating alternative ideas that can help a manager to solve a problem is called
    A. The Delphi Technique B. Out of the box thinking C. The normal group technique D. Brain Storming

Answer: Option (A)
Explanation: The Delphi technique is used in a structured communication technique to reach the correct response through consensus out of the box thinking generates unconventional ideas. Normal group technique is the decision-making process which prevents the domination of discussion by single person encourage the more passive group members to participate. In brainstorming, individuals work done and then groups were asked to brainstorm a list of ideas using procedures that encouraged creativity and discouraged criticism and evaluation. The scores of the individuals who worked alone were combined averaged and compared with the scores of the groups. The results indicated that individuals not only produce more ideas when working alone, but they do this without scarifying quality, one possible explanation is that people fear them.
4. Errors in decision making occur because we use decision-making heuristics
    A. In an Unplanned Manner B. Haphazardly C. Beyond the range for which they are intended D. Without taking care of other aspects

Answer: Option (D)
Explanation: Heuristics are simple, efficient rules based on experiences which people often use to form judgments and make decisions. This usually involves focusing on one aspect of a complex problem and ignoring others. Although these rules work well under many circumstances they can lead to systematic deviation from logic or rationally resulting errors in decision making
5. All except one of the following are important strategies that a manager can use to create a more effective decision-making environment, Which one is not?
    A. Encourage others to make Decisions B. Be ready to try new things C. Relying solely upon himself/herself D. Recognize the importance of quality information

Answer: Option (C)
Explanation: To get effective decision-making environment, Manager should encourage others to make decisions as well as should recognize the importance of quality information. The manager is also expected to try new things to improvise the outcome of a decision. So the manager should encourage for the participative/ Democratic process of decision making rather relying solely upon himself/herself.
Mirror Images
1. Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

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

Answer: Option (D)
2. Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

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

Answer: Option (D)
3. Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

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

Answer: Option (D)
4. Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

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

Answer: Option (C)
5. Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

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

Answer: Option (C)
Clocks & Calendars
1. What day will be 61 days after today, if today is Monday?
    A. Tuesday B. Thursday C. Saturday D. Friday

Answer: Option (C)
Explanation: The basic concept in a problem involving days is finding the number of odd days. In 61 days: => 7 x 8 + 5 = 5 odd days => Monday + 5 days = Saturday Hence 61 days from today will be a Saturday.
2. Today is Monday. After 61 days, it will be :
    A. Tuesday B. Monday C. Sunday D. Saturday

Answer: Option (D)
Explanation: Each day of the week is repeated after 7 days. So, after 63 days, it will be Monday. After 61 days, it will be Saturday.
3. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
    A. Monday B. Friday C. Sunday D. Tuesday

Answer: Option (B)
Explanation: On 31st December 2005, it was Saturday. Number of odd days from 2006 to 2009 = (1 + 1 + 2 + 1) = 5 days. On 31st December 2009, it was Thursday. Thus, on 1st Jan, 2010 it is Friday
4. An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
    A. 144[latex]^{0}[/latex] B. 150[latex]^{0}[/latex] C. 168[latex]^{0}[/latex] D. 180[latex]^{0}[/latex]

Answer: Option (D)
Explanation: Angle traced by the hour hand in 6 hours = ([latex]\frac{360}{12}[/latex] x 6)[latex]^{0}[/latex] = 180[latex]^{0}[/latex].
5. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
    A. 0[latex]^{0}[/latex] B. 10[latex]^{0}[/latex] C. 5[latex]^{0}[/latex] D. 20[latex]^{0}[/latex]

Answer: Option (B)
Explanation: Angle traced by hour hand in [latex]\frac{13}{3}[/latex]hrs = ([latex]\frac{360}{12}[/latex] x [latex]\frac{13}{3}[/latex])[latex]^{0}[/latex] = 130[latex]^{0}[/latex]. Angle traced by min. hand in 20 min. = ([latex]\frac{360}{60}[/latex] x 20)[latex]^{0}[/latex]= 120[latex]^{0}[/latex]. Required angle = (130 - 120)[latex]^{0}[/latex] = 10[latex]^{0}[/latex].
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. 1, 2 and 3 only C. 2 and 3 only D. 1, 2, 3 and 4

Answer: Option (D)
Explanation: The fig. (X) is similar to Form V. So when the sheet in fig. (X) is folded to form a cube, then the face bearing a dot appears opposite to a blank face, the face bearing a '+' sign appears opposite to another blank face and the face bearing a circle appears opposite to the third blank face. Clearly, all the four cubes shown in figures (1), (2), (3) and (4) 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. 1 and 3 only C. 1, 3 and 4 only D. 1, 2, 3 and 4

Answer: Option (A)
Explanation: The fig. (X) is similar to Form IV. So, when the sheet is shown in fig. (X) is folded to, form a cube, then the face bearing the dot lies opposite to the shaded face, the face bearing a circle (with '+' sign inside it) lies opposite to a blank face and the remaining two blank faces lie opposite to each other. Clearly, the cubes shown in figures (2) and (4) cannot be formed since they have the shaded face adjacent to the face bearing a dot and the cube shown in fig. (3) cannot be formed since it shows all the three blank faces adjacent to each other. Hence only the cube is shown in fig. (1) can be formed.
3. Choose the box that is similar to the box formed from the given sheet of paper (X).

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

Answer: Option (A)
Explanation: The fig. (X) is similar to Form I. So when the sheet shown in fig. (X) is folded to form a box (cuboid), then the two rectangular-shaded faces lie opposite to each other, two rectangular white faces lie opposite to each other and the two square-shaped faces (one shaded and one white) lie opposite to each other. Clearly, the cuboids shown in figures (2) and (4) cannot be formed as in each of the two cuboids the two shaded rectangular faces appear adjacent to each other. So, only the cuboids in figures (1) and (3) can be formed.
4. 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 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.
5. 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 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 is 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 is shown in fig. (2) can be formed.
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