Official Paper

PYST 8: IB MTS/SA Official Paper - Logical Ability & Reasoning (Held On: 20 Dec, 2023 Shift 2) (Previous Year Paper)

20 questions · 15 minutes · with answers · free

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Test (20 questions)

1

By interchanging the given two signs which of the following equation will be not correct?

  • and –
  1. ((a))

    7 ÷ 21 × 42 – 14 + 18 = 20 

  2. ((b))

    7 + 3 × 8 ÷ 6 – 5 = 8

  3. ((c))

    63 + 21 ÷ 7 × 14 – 8 = 29

  4. ((d))

    42 × 14 ÷ 28 + 15 – 35 = 41

Show Answer
Answer: ((a))

7 ÷ 21 × 42 – 14 + 18 = 20 

Use of BODMAS rule,

boadmas

By interchanging the given two signs + and -

 

7 ÷ 21 × 42 – 14 + 18 = 20 

After interchanging: 7 ÷ 21 × 42 + 14 - 18 = 20 

7 ÷ 21 × 42 + 14 - 18 = 20 

14 + 14 - 18 = 20 

28 - 18 = 20 

20 = 20.

Hence, the correct answer is "Option 1"

2

In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. Some bottle are cup.

II. No plate is bottle.

Conclusion:

I. No plate is cup.

II. No bottle is plate.

  1. ((a))

    Both conclusions I and II follows

  2. ((b))

    Only conclusion II follows

  3. ((c))

    Only conclusion I follows

  4. ((d))

    Neither conclusion follows 

Show Answer
Answer: ((b))

Only conclusion II follows

The least possible Venn diagram is as follows:

Conclusion:

I. No plate is cup. - False (As their is no direct relation between plate and cup may be it is posssible but not definite. Hence it is false)

II. No bottle is plate.- True (No plate is bottle. No bottle is plate. is True)

Only conclusion II follows

Hence, the correct answer is "Option 2"

3

Consider the string given below made up of letter-number-symbol. How many 3 are immediately followed by an alphabet?

N 4 6 D # L23 L 2 3 % @ 3 & # 3 G $ H @ K # & 5 H 4 D # % 5 3 @ O % 9 V 3 @

  1. ((a))

    4

  2. ((b))

    3

  3. ((c))

    2

  4. ((d))

    1

Show Answer
Answer: ((d))

1

Given Series:  N 4 6 D # L23 L 2 3 % @ 3 & # 3 G $ H @ K # & 5 H 4 D # % 5 3 @ O % 9 V 3 @

Required Conditions :  3 are immediately followed by an alphabet

N 4 6 D # L23 L 2 3 % @ 3 & # 3 G $ H @ K # & 5 H 4 D # % 5 3 @ O % 9 V 3 @

Hence, the correct answer is "Option 4"

4

In the following question, select the missing number from the given series.

810, 815, 802, 823, 794, ?

  1. ((a))

    831

  2. ((b))

    832

  3. ((c))

    830

  4. ((d))

    828

Show Answer
Answer: ((a))

831

the logic follows here,

Hence, the correct answer is "Option 1"

5

Five plays P1, P2, P3, P4 and P5 are to be staged from Monday to Friday of a week. On each day, only one play will be staged. P4 and P5 should not be the first or last to be staged. P5 should be staged immediately before P3. P2 should be staged immediately after P4. One play is staged between P1 and P2. Which play is staged on Wednesday? 

  1. ((a))

    P3

  2. ((b))

    P1

  3. ((c))

    P4

  4. ((d))

    P2

Show Answer
Answer: ((d))

P2

Five plays P1, P2, P3, P4 and P5 are to be staged from Monday to Friday of a week.

  • On each day, only one play will be staged.
  • P4 and P5 should not be the first or last to be staged.
  • P5 should be staged immediately before P3.
  • P2 should be staged immediately after P4.
  • One play is staged between P1 and P2

The Final Arrangement is, 

MonP1
TueP4
WedP2
ThuP5
FriP3

Thus, P2 play is staged on Wednesday.

Hence, the correct answer is "Option 4"

6

Consider the string given below made up of letter-number-symbol. How many 2’s are there?

2 3 2 2 % @ & 3 # G 2 $ 3 H @ 3 K # & 2 5 H 4 D # 2 2 % 5 2 3 @ 2 O % 9 2 V @ 2 3 4 2 2 % 5 2 3

  1. ((a))

    12

  2. ((b))

    13

  3. ((c))

    10

  4. ((d))

    11

Show Answer
Answer: ((b))

13

Gievn :  # 2 3 2 2 % @ & 3 # G 2 $ 3 H @ 3 K # & 2 5 H 4 D # 2 2 % 5 2 3 @ 2 O % 9 2 V @ 2 3 4 2 2 % 5 2 3

 2’s are there

 # 2 3 $ 2 % @ $ & 3 # G 2 $ 3 H @ 3 K # & 2 5 H 4 D # 2 2 % 5 2 3 @ 2 O % 9 2 V @ 2 3 4 2 2 % 5 2 3

 There are 13 ,2’s are in series.

Hence, the correct answer is "Option 2"

7

By interchanging the given two signs which of the following equation will be correct?

  • and –
  1. ((a))

    8 + 14 – 7 × 6 ÷ 3 = 8 

  2. ((b))

    21 + 8 × 7 – 33 ÷ 3 = 24

  3. ((c))

    7 + 9 × 8 ÷ 6 – 5 = 1

  4. ((d))

    0 × 4 + 6 ÷ 2 – 8 = 45

Show Answer
Answer: ((a))

8 + 14 – 7 × 6 ÷ 3 = 8 

Given :  8 + 14 – 7 × 6 ÷ 3 = 8 

boadmas

By interchanging the given two signs + and -

8 + 14 – 7 × 6 ÷ 3 = 8 

After interchanging the given two signs + and -

8 - 14 + 7 × 6 ÷ 3 = 8 

8 + 14 – 7 × 2 = 8 

8 + 14 – 14 = 8 

8 = 8 .

Hence, the correct answer is "Option 1"

8

Tarun walks 46 km towards East. He turns right and walks 36 km. He again turns right and walks 46 km. How far and in which direction is his starting point from the finishing point?

  1. ((a))

     46 km, North

  2. ((b))

     36 km, North

  3. ((c))

    36 km, South

  4. ((d))

    46 km, South 

Show Answer
Answer: ((b))

 36 km, North

  • Tarun walks 46 km towards East.
  • He turns right and walks 36 km.
  • He again turns right and walks 46 km.

The Final Diagram,

Hence, the correct answer is "Option 2"

9

Consider the string given below made up of letter-number-symbol. How many 4 are immediately followed and preceded by an alphabet?

N 4 6 D # L L % @ & # G $ H N 4 D 6 D # $ L & 5 N 4 D 6 D # $ L # % 5 3 N 4 D 6 D # $ L V @

  1. ((a))

    4

  2. ((b))

    3

  3. ((c))

    1

  4. ((d))

    2

Show Answer
Answer: ((b))

3

Given Series : N 4 6 D # L L % @ & # G $ H N 4 D 6 D # $ L & 5 N 4 D 6 D # $ L # % 5 3 N 4 D 6 D # $ L V @ 

4 are immediately followed and preceded by an alphabet

 N 4 6 D # L L % @ & # G $ H N 4 D 6 D # $ L & 5 N 4 D 6 D # $ L # % 5 3 N 4 D 6 D # $ L V @ 

Hence, the correct answer is "Option 2"

10

A, B, C, D and E are five friends sitting in a single row facing North. A sitting fourth to the right of C. B is sitting second to the right of C. D sitting to the immediate left of B. Who is sitting on the immediate left of E?

  1. ((a))

    B

  2. ((b))

    D

  3. ((c))

    C

  4. ((d))

    A

Show Answer
Answer: ((a))

B

Given: A, B, C, D and E are five friends sitting in a single row facing North.

  • A sitting fourth to the right of C.
  • B is sitting second to the right of C.
  • D sitting to the immediate left of B.

The Final Arrangement is, 

Hence, the correct answer is "Option 1"

11

In a certain code language, ‘WALK’ is written as ‘AFPP’. What is the code for ‘BLOW’ in that code language? 

  1. ((a))

    FQSC

  2. ((b))

    FQTB

  3. ((c))

    FRSB

  4. ((d))

    FQSB

Show Answer
Answer: ((d))

FQSB

Alphabet Table

alpha teb

The pattern followed here is

The logic follows here, 

Similarly,

Hence, the correct answer is "Option 4"

12

In the following question, four letter pairs are given. The letters on left side of (–) is related to the letters on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

  1. ((a))

    JY – RG

  2. ((b))

    DS – LA

  3. ((c))

    RN – ZT

  4. ((d))

    TI – BQ

Show Answer
Answer: ((c))

RN – ZT

Alphabet Table

alpha teb

The pattern followed here is

Hence, the correct answer is "Option 3"

13

Eight friends A, B, C, D, E, F, G and H are seated in a straight line and all of them are facing north, but not necessarily in the same order. B sits second to right of F. F sits at one of the extreme ends of the line. Only three people sit between B and E. C sits third to the left of D. Only two people sit between D and A. G is not an immediate neighbour of E. Who is sitting on the immediate left of C? 

  1. ((a))

    H

  2. ((b))

    E

  3. ((c))

    F

  4. ((d))

    G

Show Answer
Answer: ((c))

F

Given :  Eight friends A, B, C, D, E, F, G and H are seated in a straight line and all of them are facing north, but not necessarily in the same order.

B sits second to right of F.

F sits at one of the extreme ends of the line.

Only three people sit between B and E.

C sits third to the left of D.

Only two people sit between D and A.

G is not an immediate neighbour of E

The Final Arrangement is, 

Hence, the correct answer is "Option 2"

14

In the following question, select the related letters from the given alternatives.

CN : ZM :: YE : ?

  1. ((a))

    MY

  2. ((b))

    VV

  3. ((c))

    UL

  4. ((d))

    ZA

Show Answer
Answer: ((b))

VV

The logic follows here, 

Hence, the correct answer is "Option 2"

15

Pointing to a woman, a man said, “Her father is the husband of the mother of the brother of my father”. How is that woman related to that man?

  1. ((a))

    Mother

  2. ((b))

    Mother-in-law 

  3. ((c))

    Father’s sister

  4. ((d))

    Father’s mother

Show Answer
Answer: ((c))

Father’s sister

  • Brother of my father
  • → my uncle.
  • Mother of the brother of my father
  • → my grandmother (father’s mother).
  • Husband of that mother
  • → my grandfather.

 

So,

Her father = my grandfather

Hence, the correct answer is "Option 3"

16

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

RSM4, NTS9, TUO16, PVU25, ?

  1. ((a))

    VNO36

  2. ((b))

    VWQ36

  3. ((c))

    OMQ49

  4. ((d))

    VNQ49

Show Answer
Answer: ((b))

VWQ36

alpha teb

The pattern followed here is:

Hence, the correct answer is "Option 2"

17

In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. No A is B.

II. Some S are B.

Conclusion:

I. All B are S.

II. All A are S.

  1. ((a))

    Only conclusion II follows

  2. ((b))

    Only conclusion I follows 

  3. ((c))

    Neither conclusion follows

  4. ((d))

    Both conclusions I and II follows 

Show Answer
Answer: ((c))

Neither conclusion follows

The least possible Venn diagram is as follows:

Conclusion:

I. All B are S. - False (Some B are S . Some S are B. Hence, it is false)

II. All A are S. - False (As their is no direct relation between A and S may be it is possible but not definite. Hence, it is false)

Neither conclusion follows.

Hence, the correct answer is "Option 3"

18

By interchanging the given two signs which of the following equation will be not correct?

  • and –
  1. ((a))

    4 + 3 ÷ 2 × 4 – 7 = 6

  2. ((b))

    17 + 8 – 11 × 6 ÷ 3 = 31

  3. ((c))

    48 × 6 ÷ 36 + 30 – 20 = –2

  4. ((d))

    50 ÷ 25 × 30 + 15 – 40 = 85 

Show Answer
Answer: ((a))

4 + 3 ÷ 2 × 4 – 7 = 6

Given: 4 + 3 ÷ 2 × 4 – 7 = 6

By interchanging the given two signs + and –

4 - 3 ÷ 2 × 4 + 7 = 6

4 - 3 × 2 + 7 = 6

11 - 6 = 6

5 ≠ 6

Hence, the correct answer is "Option 1"

19

Six lectures A1, A2, A3, A4, A5 and A6 are to be organized in a span of seven days from Sunday to Saturday. Only one lecture on each day in accordance with the following:

I. There should be a gap of two days between A5 and A4.

II. A2 should be organised on Tuesday and should not be organized just before A4.

III. A1 should not be organized on Thursday.

IV. One day there will be no lecture (Friday is not that day), just before that day A4 will be organised.

V. A3 should be organised immediately after A6.

Which lecture is organised on Thursday?

  1. ((a))

    A2

  2. ((b))

    A6

  3. ((c))

    A5

  4. ((d))

    A3

Show Answer
Answer: ((b))

A6

Six lectures A1, A2, A3, A4, A5 and A6 are to be organized in a span of seven days from Sunday to Saturday. Only one lecture on each day in accordance with the following:

I. There should be a gap of two days between A5 and A4.

II. A2 should be organised on Tuesday and should not be organized just before A4.

III. A1 should not be organized on Thursday.

IV. One day there will be no lecture (Friday is not that day), just before that day A4 will be organised.

V. A3 should be organised immediately after A6.

The Final Arrangement is, 

SunA5
MonA6
TueA2
WedA4
ThuNo Lecture
FriA3
SatA1

 

 

 

 

 

 

 

 

Hence, the correct answer is "Option 2"

20

In a certain code language, ‘PIETY’ is written as ‘15’, ‘ZTHOU’ is written as ‘18’. What is the code for ‘NCHEE’ in that code language?

  1. ((a))

    4

  2. ((b))

    8

  3. ((c))

    7

  4. ((d))

    5

Show Answer
Answer: ((c))

7

Alphabet Table

Logic: Sum of all alphabetical value and divided by number of letters.

alpha teb

The pattern followed here is

  • PIETY = 16 + 9 + 5 + 20 + 25 = 75/5 = 15
  • ZTHOU = 26 + 20 + 8 + 15 + 21 = 90/5 = 18
  • Similarly,
  • NCHEE = 14 + 3 + 8 + 5 + 5 = 35/5 = 7

Hence, the correct answer is "Option 3"

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