Grapecity Reasoning Question

DIRECTIONS for the question 1-2 : Solve the following question and mark the best possible option.
  1. ‘A # B’ means ‘A is smaller than B’
  2. ‘A © B’ means ‘A is greater than B’
  3. ‘A π B’ means ‘A is either smaller than or equal to B’
  4. ‘A $ B’ means ‘A is either greater than or equal to B’
  5. ‘A % B’ means ‘A is neither smaller nor greater than B’

In each of the following questions, assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.

  1. Statement: A # N % O π T π H # E
    Conclusions: I. E $ O II. H © N
    1. Only III
    2. Only II and III
    3. All I, II and III are required to answer the question
    4. Question cannot be answered even with all I, II and III
    5. None of these

    Answer : Option D.
    Given statement: A# N % O π T π H # E
    Now, A < N = O ≤ T ≤ H < E
    Thus, O < E is true. But (E ≥ O) is not true. Hence conclusion I is not true.
    Again, N ≤ H is true. But (H > N) is not true. Hence conclusion II is not true.
  2. Statement: P © V % T # D # M $ F
    Conclusions: I. M © V II. P # F
    1. if only conclusion I is true
    2. if only conclusion II is true
    3. if either conclusion I or II is true
    4. if neither conclusion I nor II is true
    5. if both conclusion I and II are true

    Answer : Option A.
    Given statement: P © V % T # D # M $ F
    Now, P > V = T < D < M ≥ F
    Thus, V < M or M > V is true. Hence conclusion I is true.
    But P and F cannot be compared. Hence conclusion II is not true.
    DIRECTIONS for the question 3-4 : The question below has either two or three statements followed by two or three conclusions.
    You have to take the given statements to be true and then decide which of the given conclusions logically follows from the given statements, disregarding the commonly known facts
    .
  3. Statements: No stone is a metal. Some metals are papers. All papers are glass.
    Conclusions: I. No glass is a metal.
    II. At least some glass is metal.
    1. if only conclusion I follows
    2. if only conclusion II follows
    3. if either conclusion I or conclusion II follows
    4. if neither conclusion I nor conclusion II follows
    5. if both conclusion I and conclusion II follow

    Answer : Option B.

    Conclusions: I. No glass is a metal is definitely wrong as some metals are papers and all papers are glasses so papers which are metals are also glasses.
    II. At least some glass is metal, is definitely correct as some metals are papers and all papers are glasses so papers which are metals are also glasses.
  4. Statements: No stone is a metal. Some metals are papers. All papers are glass.
    Conclusions: I. All stones being glass is a possibility.
    II. No stone is a paper.
    1. if only conclusion I follows
    2. if only conclusion II follows
    3. if either conclusion I or conclusion II follows
    4. if neither conclusion I nor conclusion II follows
    5. if both conclusion I and conclusion II follow

    Answer : Option A.

    Conclusions: I. All stones being glass is a possibility can be concluded as shown in the diagram above as no definite relation is given between stones and glass so all stones being glass can be a possibility.
    II. No stone is a paper cannot be definitely concluded as no relation is being given between stones and papers as shown in the diagram above.
    DIRECTIONS for the question 5 to 7 : A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step.
    The following is an illustration of input and rearrangement.
    Study the rule and answer the question as directed.
    Input : sine 88 71 cos theta 14 56 gamma delta 26
    Step I : cos sine 71 theta 14 56 gamma delta 26 88
    Step II : delta cos sine theta 14 56 gamma 26 88 71
    Step III : gamma delta cos sine theta 14 26 88 71 56
    Step IV : sine gamma delta cos theta 14 88 71 56 26
    Step V : theta sine gamma delta cos 88 71 56 26 14
    and Step V is the last Step of the arrangement of the above input as the intended arrangement is obtained.
    As per the rules followed in the above steps, find out in each of the following questions the appropriate steps for the given input. Input for the questions :
    Input : for 52 all 96 25 jam road 15 hut 73 bus stop 38 46
    (All the numbers given in the arrangement are two digit numbers)
  5. Which of the following would be Step VII?
    1. stop road jam hut for bus all 15 96 73 52 46 38 25
    2. road jam hut for bus all stop 15 25 38 46 52 73 96
    3. stop road jam hut for bus all 96 73 52 46 38 25 15
    4. jam hut for bus all 25 road stop 15 96 73 52 46 38
    5. There will be no such step as the arrangement gets established at Step VI

    Answer : Option C.
    The pattern being followed is that first the words are arranged in reverse EJOTY format followed by the numbers in the decreasing order.
    Input : for 52 all 96 25 jam road 15 hut 73 bus stop 38 46
    Step 1: all for 52 25 jam road 15 hut 73 bus stop 38 46 96
    Step 2: bus all for 52 25 jam road 15 hut stop 38 46 96 73
    Step 3: for bus all 25 jam road 15 hut stop 38 46 96 73 52
    Step 4: hut for bus all 25 jam road 15 stop 38 96 73 52 46
    Step 5: jam hut for bus all 25 road 15 stop 96 73 52 46 38
    Step 6: road jam hut for bus all 15 stop 96 73 52 46 38 25
    Step 7: stop road jam hut for bus all 96 73 52 46 38 25 15
  6. Which word/number would be at the 6th position from the left in Step V ?
    1. 25
    2. stop
    3. Jam
    4. All
    5. Road

    Answer : Option A.
    The pattern being followed is that first the words are arranged in reverse EJOTY format followed by the numbers in the decreasing order.
    Input : for 52 all 96 25 jam road 15 hut 73 bus stop 38 46
    Step 1: all for 52 25 jam road 15 hut 73 bus stop 38 46 96
    Step 2: bus all for 52 25 jam road 15 hut stop 38 46 96 73
    Step 3: for bus all 25 jam road 15 hut stop 38 46 96 73 52
    Step 4: hut for bus all 25 jam road 15 stop 38 96 73 52 46
    Step 5: jam hut for bus all 25 road 15 stop 96 73 52 46 38
    Step 6: road jam hut for bus all 15 stop 96 73 52 46 38 25
    Step 7: stop road jam hut for bus all 96 73 52 46 38 25 15
    So required word/number at the 6th position from the left in Step V is 25.
  7. Which of the following would be the Step III?
    1. hut for bus all 25 jam road 15 stop 38 96 73 52 46
    2. for bus all 25 jam road 15 hut 38 stop 96 46 73 52
    3. hut for bus all jam road15 stop 38 96 73 52 46 25
    4. for bus all 25 jam road 15 hut stop 38 46 96 73 52
    5. None of these

    Answer : Option D.
    The pattern being followed is that first the words are arranged in reverse EJOTY format followed by the numbers in the decreasing order.
    Input : for 52 all 96 25 jam road 15 hut 73 bus stop 38 46
    Step 1: all for 52 25 jam road 15 hut 73 bus stop 38 46 96
    Step 2: bus all for 52 25 jam road 15 hut stop 38 46 96 73
    Step 3: for bus all 25 jam road 15 hut stop 38 46 96 73 52
    Step 4: hut for bus all 25 jam road 15 stop 38 96 73 52 46
    Step 5: jam hut for bus all 25 road 15 stop 96 73 52 46 38
    Step 6: road jam hut for bus all 15 stop 96 73 52 46 38 25
    Step 7: stop road jam hut for bus all 96 73 52 46 38 25 15
  8. How many daughters does W have?
    I. B and D are sisters of M.
    II. M's father T is husband of W.
    III. Out of the three children which T has, only one is a boy.
    1. Only I and III
    2. All I, II and III are required to answer the question
    3. Only II & III
    4. Question cannot be answered even with all I, II and III
    5. Only I and II

    Answer : Option C.
    The second statement tells T is the father and W is the mother of M. The third statement tells that out of three children T has, only one is a boy, this implies that he has two daughters. Hence 2nd and 3rd statements given are sufficient to answer the question.
  9. Who among A, B, C, D, E and F each having a different height, is the tallest ?
    I. B is taller than A but shorter than E.
    II. Only two of them are shorter than C.
    III. D is taller than only F.
    1. Only I and II
    2. Only I and III
    3. Only II & III
    4. All I, II and III are required to answer the question
    5. All I, II and III are not sufficient to answer the question

    Answer : Option D.
    All the three statements give the order as
    E B A C D F.
  10. Towards which direction is village J from village W?
    I. Village R is to the west of Village W and to the north of Village T.
    II. Village Z is to the east of Village J and to the south of Village T.
    III. Village M is to the north east of Village J and north of Village Z.
    1. Only III
    2. Only II and III
    3. All I, II and III are required to answer the question
    4. Question cannot be answered even with all I, II and III
    5. None of these

    Answer : Option E.
    Statements I & II give us that the direction of village J w.r.t. village W is south-west.
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