Official Paper

PYST 4: IB Security Assistant & MTS Official Paper - Logical Ability & Reasoning (Held On: 24 March, 2023 Shift 1) (Previous Year Paper)

20 questions · 15 minutes · with answers · free

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Test (20 questions)

1

Select the number from among the given options that can replace the question mark (?) in the following series.

20, 25, 24, 30, 32, 35, ?

  1. ((a))

    37

  2. ((b))

    38

  3. ((c))

    45

  4. ((d))

    44

Show Answer
Answer: ((d))

44

The logic followed here is:

So, 44 will complete the series.

Hence, the correct answer is 'Option 4'.

2

K, R, I, H, G and F are six candidates who are selected for the programme of M.Ed of ‘XYZ’ university. Each has to join in different months of the same year viz. January, April, June, August, September and December. H has to join in April. Only K has to join after I. F has to join immediately after G. Who has to join in January?

  1. ((a))

    I

  2. ((b))

    R

  3. ((c))

    K

  4. ((d))

    G

Show Answer
Answer: ((b))

R

Given: K, R, I, H, G and F are six candidates who are selected for the programme of M.Ed of ‘XYZ’ university.

Each has to join in different months of the same year viz. January, April, June, August, September and December.

H has to join in April.

Only K has to join after I.

F has to join immediately after G.

Month of JoiningPerson
JanuaryR
AprilH
JuneG
AugustF
SeptemberI
DecemberK
<br>

From the above arrangement R joins in the month of January.

Hence, the correct answer is 'Option 2'.

3

Study the given diagram carefully and answer the question that follows. The numbers in different sections indicate the number of women using different brands of perfume. 

How many such women are there who use both Channel and Hugo brands only?

  1. ((a))

    70

  2. ((b))

    263

  3. ((c))

    30

  4. ((d))

    100

Show Answer
Answer: ((a))

70

According to the given Venn Diagram:

The shaded area shows the Total number of women who use both Channel and Hugo brands only, which is 70.

Hence, the correct answer is 'Option 1'.

4

Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.

EXAM : FWBL :: ROOM : QPPL :: TEST : ?

  1. ((a))

    SFRU

  2. ((b))

    UDTS

  3. ((c))

    SFRS

  4. ((d))

    SDRS

Show Answer
Answer: ((c))

SFRS

The position and positional values of English Alphabets are:

The logic followed here is: Each Vowel of the word is increased by 1 and each consonant of the given word is decreased by 1.

For, EXAM : FWBL

For, ROOM : QPPL

Similarly, TEST

So, TEST will be SFRS.

Hence, the correct answer is 'Option 3'.

5

Refer to the given number, symbol series and answer the question that follows.

(Left) 3 * @ 5 % 3 + = 3 3 % 8 7 & 5 $ 7 5 & # * 8 2 @ 5(Right)

How many such symbols are there (from left to right) which are immediately preceded by a number and also immediately followed by a number?

  1. ((a))

    4

  2. ((b))

    5

  3. ((c))

    6

  4. ((d))

    7

Show Answer
Answer: ((b))

5

Given: (Left) 3 * @ 5 % 3 + = 3 3 % 8 7 & 5 $ 7 5 & # * 8 2 @ 5(Right)

Now, 

Symbols, which are immediately preceded by a number and also immediately followed by a number.

So, Needed pattern is: Number - Symbol - Number.

There are 5 Symbols which are preceded by a number and also immediately followed by a number.

Hence, the correct answer is 'Option 2'.

6

Seven teachers A, B, C, D, E, Y and Z are sitting in a straight row, facing north. Only A sits between E and D. Only B sits between Z and Y. Only C sits to the right of E. A is to the immediate left of E. Z does not sit at any extreme ends of the row. Who sits to the immediate left of B?

  1. ((a))

    D

  2. ((b))

    Y

  3. ((c))

    E

  4. ((d))

    Z

Show Answer
Answer: ((b))

Y

Given: Seven teachers A, B, C, D, E, Y and Z are sitting in a straight row, facing north.

Only C sits to the right of E.

Only A sits between E and D.

A is to the immediate left of E.

 

Only B sits between Z and Y.

Z does not sit at any extreme ends of the row.

 

So, Y sits to the immediate left of B.

Hence, the correct answer is 'Option 2'.

Confusion PointsOnly C is sitting right of E---> which means C is sitting at the extreme right end and E is sitting second from the right end. as given that only C is sitting at the right of E, nobody else. 

In DAECZBY---> ZBY is also sitting to the right of E, which doesn't satisfy the conditions given in the question.

7

In a certain code language, 'GLASS' is coded as 'TOAHH', and 'METAL' is coded as 'NVTZO'. How will 'PAPER' be coded in that language?

  1. ((a))

    KZKVI

  2. ((b))

    KZPVI

  3. ((c))

    KYPUR 

  4. ((d))

    KZKVL 

Show Answer
Answer: ((b))

KZPVI

The position and positional values of English Alphabets are:

The logic followed here is: Except Middle letter, All letters of given are coded as their opposite letter in reverse order, while middle letter remains same.

'GLASS' is coded as 'T0AHH'

 

'METAL' is coded as 'NVTZO'

 

PAPER:

So, 'PAPER' will be coded as 'KZPVI'

Hence the correct answer is 'Option 2'.

8

Which two numbers should be interchanged to make the following equation correct?

4 × 12 ÷ 9 + 7 – 10 = 0

  1. ((a))

    4, 7

  2. ((b))

    9, 10

  3. ((c))

    9, 12

  4. ((d))

    9, 4

Show Answer
Answer: ((c))

9, 12

Given Equation: 4 × 12 ÷ 9 + 7 – 10 = 0

BODMAS Table:

Let's check each option One by One:

Option 1) 4,7

Given: 4 × 12 ÷ 9 + 7 – 10 = 0

After interchanging the numbers, we get:

⇒ 7 × 12 ÷ 9 + 4 – 10 = 0

⇒ 7 × 1.3 + 4 – 10 = 0

⇒ 9.1 + 4 – 10 = 0

⇒ 13.1 - 10 = 0

⇒ 3.1 ≠ 0

Option 2) 9, 10

Given: 4 × 12 ÷ 9 + 7 – 10 = 0

After interchanging the numbers, we get:

⇒ 4 × 12 ÷ 10 + 7 – 9 = 0

⇒ 4 × 1.2 + 7 – 9 = 0

⇒ 4.8 + 7 - 9 = 0

⇒ 11.8 - 9 = 0

⇒ 2.8 ≠ 0.

Option 3) 9, 12

Given: 4 × 12 ÷ 9 + 7 – 10 = 0

After interchanging the numbers, we get:

⇒ 4 × 9 ÷ 12 + 7 – 10 = 0

⇒ 4 × 0.75 + 7 – 10 = 0

⇒ 3 + 7 - 10 = 0

⇒ 10 - 10 = 0

⇒ 0 = 0.

Option 4) 9, 4

Given: 4 × 12 ÷ 9 + 7 – 10 = 0

After interchanging the numbers, we get:

⇒ 9 × 12 ÷ 4 + 7 – 10 = 0

⇒ 9 × 3 + 7 – 10 = 0

⇒ 27 + 7 - 10 = 0

⇒ 34 - 10 = 0

⇒ 24 ≠ 0.

So, by interchanging 9, 12 the equation becomes correct.

Hence, the correct answer is 'Option 3'.

9

Select the number from among the given options that can replace the question mark (?) in the following series.

3, 16, 51, 104, ?

  1. ((a))

    207

  2. ((b))

    104

  3. ((c))

    209

  4. ((d))

    105

Show Answer
Answer: ((d))

105

The logic followed here is:

So, 105 will complete the series.

Hence, the correct answer is 'Option 4'.

10

Four letter-clusters have been given, out of which three are alike in some manner, and one is different. Select the one that is different.

(Note: the letter-clusters are not to be treated as meaningful words)

  1. ((a))

    RVTX

  2. ((b))

    GKIM

  3. ((c))

    MQOT 

  4. ((d))

    BFDH

Show Answer
Answer: ((c))

MQOT 

The position and positional value of English Alphabets are:

The logic followed here is:

Option 1) RVTX

Option 2) GKIM

Option 3) MQOT

Option 4) BFDH 

So, MQOT is odd among the given options.

Hence, the correct answer is 'Option 3'.

11

‘A & B’ means ‘A is the father of B’

‘A # B’ means ‘A is the son of B’

‘A ^ B’ means ‘A is the brother of B’s father’

‘A @ B’ means ‘A is the wife of B’

‘A % B’ means ‘A is the mother of B’

How is G related to K in the following expression? ‘G ^ H # I @ J & K’

  1. ((a))

    Father’s father 

  2. ((b))

    Son

  3. ((c))

    Father’s brother

  4. ((d))

    Brother’s son

Show Answer
Answer: ((c))

Father’s brother

Family Chart: 

A is
Symbols&#^@%
MeaningFatherSonBrother of FatherWifeMother
of B
<br>

Given Expression: ‘G ^ H # I @ J & K’

G is brother of Father of H. H is son of I. I is wife of J. J is father of K.

So, G is Father's Brother of K.

Hence, the correct answer is 'Option 3'.

12

If ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’ and ‘+’ means ‘−’ what will be the value of the following expression?

[{(7 + 3) × (3 × 1)} − (1 ÷ 2)] ÷ 2

  1. ((a))

    8

  2. ((b))

    1

  3. ((c))

    4

  4. ((d))

    2

Show Answer
Answer: ((a))

8

Given Equation: [{(7 + 3) × (3 × 1)} − (1 ÷ 2)] ÷ 2

BODMAS Rule:

Decoding the given information:

Symbols+-×÷
Meaning-÷+×
<br>

Now replacing the sign from left to right using BODMAS Rule, we get:

New Equation: [{(7 - 3) + (3 + 1)} ÷ (1 × 2)] × 2

Calculation:

⇒ [{(7 - 3) + (3 + 1)} ÷ (1 × 2)] × 2

<br>

⇒ [{4 + 4} ÷ (1 × 2)] × 2

 

⇒ [8 ÷ (1 × 2)] × 2

 

⇒ [8 ÷ 2)] × 2

 

⇒ 4 × 2 = 8.

<br>

Hence, the correct answer is 'Option 1'.

13

Select the alphanumeric-cluster from among the given options that can replace the question mark (?) in the following series.

4N, 5K, 12H, 39E, 160B, ?

  1. ((a))

    292X

  2. ((b))

    805X

  3. ((c))

    805Y

  4. ((d))

    350Z

Show Answer
Answer: ((c))

805Y

The Position and positional values of English Alphabets are:

The logic followed here is:

So, 805Y will complete the series.

Hence, the correct answer is 'Option 3'.

14

Seven members A, B, C, D, E, F and G of a certain department, have a function to attend on a different day of a week, starting from Monday to Sunday of the same week. B has to attend the function on Tuesday. E has to attend the function immediately before A. G has to attend the function on Sunday. Only F has to attend the function between A and C. D has to attend the function on one of the days before B, A or C. Who has to attend the function on Thursday? 

  1. ((a))

    F

  2. ((b))

    A

  3. ((c))

    C

  4. ((d))

    E

Show Answer
Answer: ((b))

A

Given: Seven members A, B, C, D, E, F and G of a certain department, have a function to attend on a different day of a week, starting from Monday to Sunday of the same week.

B has to attend the function on Tuesday.

G has to attend the function on Sunday.

E has to attend the function immediately before A.

Days of the WeekPerson
Monday
TuesdayB
Wednesday
Thursday
Friday
Saturday
SundayG
<br>

Only F has to attend the function between A and C.

D has to attend the function on one of the days before B, A or C. 

Days of the WeekPerson
MondayD
TuesdayB
WednesdayE
ThursdayA
FridayF
SaturdayC
SundayG
<br>

From The Above arrangement, A attends the function on Thursday.

Hence, the correct answer is 'Option 2'.

15

Arun walks 5 m south from his office, turns left and walks 3 m, again turns left and walks 13 m, then turns left and walks 3 m to reach the grocery shop. In which direction and how far is Arun from his office?

  1. ((a))

    10 m, North-East

  2. ((b))

    8 m, North

  3. ((c))

    14 m, North-East

  4. ((d))

    10 m, South-West

Show Answer
Answer: ((b))

8 m, North

Given:

Arun walks 5 m south from his office

turns left and walks 3 m

again turns left and walks 13 m

then turns left and walks 3 m to reach the grocery shop

The distance between Office to Grocery Shop = 13 - 5 = 8KM.

So, Arun is 8km far in North direction from his office.

Hence, the correct answer is 'Option 2'.

16

Each of the letters in the word ‘ADMIT’ is arranged in alphabetical order. How many letters are there in the English alphabetical series between the letter which is second from the left and the one which is second from the right?

  1. ((a))

    10

  2. ((b))

    6

  3. ((c))

    8

  4. ((d))

    9

Show Answer
Answer: ((c))

8

Given Word: ADMIT

After arranging in Alphabetical order

AlphabetsADMIT
Alphabetical OrderADIMT

 

After arranging in alphabetical order

Letter second from the left: D

Letter second from the right: M

Now,

There are 8 letters between D and M

DEFGHIJKLM
<br>

Hence, the correct answer is 'Option 3'.

17

In a certain code language, 'ACTIVE' is coded as 'CBSKUG', and 'MEMBER' is coded as 'LGLAGQ'. How will 'LEAGUE' be coded in that language?

  1. ((a))

    KGCFSG

  2. ((b))

    KGCFWG

  3. ((c))

    KGCIWG

  4. ((d))

    KGYFWG

Show Answer
Answer: ((b))

KGCFWG

The position and positional value of English Alphabets are:

The logic followed here is: Vowels in words are increased by 2 and consonants are decreased by 1.

'ACTIVE' is coded as 'CBSKUG'

'MEMBER' is coded as 'LGLAGQ'

Similarly, 'LEAGUE'

So, LEAGUE will be coded as KGCFWG.

Hence, the correct answer is 'Option 2'.

18

 Six lions N, O, P, Q, R and S are sitting in a straight row, facing north. Only Q sits to the left of R. N sits second to the left of O. S sits second to the right of P. O sits at an extreme end of the row. Which lion sits to the immediate right of N?

  1. ((a))

    R

  2. ((b))

    O

  3. ((c))

    S

  4. ((d))

    P

Show Answer
Answer: ((c))

S

Given: Six lions N, O, P, Q, R and S are sitting in a straight row, facing north.

Only Q sits to the left of R.

O sits at an extreme end of the row.

N sits second to the left of O.

S sits second to the right of P.

So, S sits to the immediate right of N.

Hence, the correct answer is 'Option 3'.

19

Read the given statement and conclusions carefully. Decide which of the given conclusions is/are true based on the statement.

Statement:

¥ < ∞ = µ ≤ © > Ω = ᴓ > β

Conclusions:

I. Ω > µ

II. ∞ < ᴓ

  1. ((a))

    Neither conclusion I nor II is true

  2. ((b))

    Only conclusion I is true

  3. ((c))

    Only conclusion II is true

  4. ((d))

    Both conclusions I and II are true

Show Answer
Answer: ((a))

Neither conclusion I nor II is true

Given Statement: ¥ < ∞ = µ ≤ © > Ω = ᴓ > β

Now,

Conclusions:

I. Ω > µ → False ( ¥ < ∞ = µ ≤ © > Ω = ᴓ > β, Gives  µ ≤ © > Ω, No Definite relation possible)

II. ∞ < ᴓ → False (¥ < ∞ = µ ≤ © > Ω = ᴓ > β, Gives ∞ = µ ≤ © > Ω = ᴓ , No Definite relation possible)

Thus, Neither Conclusion I Nor II is true.

Hence, the correct answer is 'Option 1'.

20

Select the triad which follows the same pattern as that followed by the two triads given below. Both triads follow the same pattern.

EV – GT – LO

PK – RI – WD

  1. ((a))

    QJ – SH – WE

  2. ((b))

    OL – QJ – VE

  3. ((c))

    BX – EV – JQ

  4. ((d))

    BD – DF – IK

Show Answer
Answer: ((b))

OL – QJ – VE

The position and positional values of English Alphabets are:

The logic followed here is:

For, EV – GT – LO

For, PK – RI – WD

Now, Check Options One by One:

Option 1) QJ – SH – WE

Option 2) OL – QJ – VE

Option 3) BX – EV – JQ

Option 4) BD – DF – IK

Only, OL - QJ - VE Follows the pattern of given triad.

Hence, the correct answer is 'Option 2'.

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