Official Paper

PYST 2: IB Security Assistant & MTS Official Paper - Logical Ability & Reasoning (Held On: 23 March, 2023 Shift 2) (Previous Year Paper)

20 questions · 15 minutes · with answers · free

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Test (20 questions)

1

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

  1. ((a))

    Jacket 

  2. ((b))

    Coat 

  3. ((c))

    Blazer 

  4. ((d))

    Sweater

Show Answer
Answer: ((d))

Sweater

The logic followed here is:

Jacket, Coat, and Blazer are all structured pieces of outerwear often featuring linings and formal designs,

Whereas,

A Sweater is typically a knitted or crocheted garment designed specifically for warmth.

So, the odd word is "Sweater".

Hence, the correct answer is "Option 4".

2

How many such letters are there in the following string each of which is preceded by a symbol and followed by a number?

T 8 & W 8 # Q 6 R & P T & 6 Q 9 D8@7H D 8 @ 7 H % Y 3 G 5 9 %

  1. ((a))

    5

  2. ((b))

    4

  3. ((c))

    6

  4. ((d))

    3

Show Answer
Answer: ((b))

4

Given: T 8 & W 8 # Q 6 R & P T & 6 Q 9 D8@7H D 8 @ 7 H % Y 3 G 5 9 %

Now,

Letters in the following string each of which is preceded by a symbol and followed by a number.

So, needed pattern is: Symbol - Letter - Number.

Here,

There are 'Four' letters which are preceded by a symbol and followed by a number.

Hence, the correct answer is 'Option 2'.

3

In a certain code language, ‘WAZZES’ is written as ‘ZYCXHQ’, and ‘PRFJKO’ is written as ‘SPIHNM’. How will ‘BOMBYX’ be written in that language?

  1. ((a))

    EQPBBW 

  2. ((b))

    DNPZAV 

  3. ((c))

    DMOYAW 

  4. ((d))

    EMPZBV

Show Answer
Answer: ((d))

EMPZBV

The position and positional values of English Alphabets are:

The logic followed here is:

For, ‘WAZZES’ is written as ‘ZYCXHQ'.

For, ‘PRFJKO’ is written as ‘SPIHNM’.

Similarly, for 'BOMBYX'

So, 'BOMBYX' will be coded as 'EMPZBV'.

Hence, the correct answer is 'Option 4'.

4

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

4, 13, 40, ?, 364, 1093

  1. ((a))

    180

  2. ((b))

    160

  3. ((c))

    120

  4. ((d))

    121

Show Answer
Answer: ((d))

121

The logic followed here is:

So, 121 will complete the series.

Hence, the correct answer is 'Option 4'.

5

Select the option that is related to the third term in the same way as the second term is related to the first term.

Legs : Polio :: Eyes : ?

  1. ((a))

    Cataract 

  2. ((b))

    Pneumonia 

  3. ((c))

    Dengue 

  4. ((d))

    Malaria

Show Answer
Answer: ((a))

Cataract 

The logic followed here is:

'Polio' is a disease that primarily affects the 'Legs',

Similarly,

'Cataract' is a disease that primarily affects the 'Eyes'.

Hence, the correct answer is 'Option 1'.

6

Assuming the given statement to be true, find which of the following conclusions among given two is/are true.

Statement 

P ≤ T< K = Y ≥ S ≥ E < L

Conclusions

  1. K > E

  2. E = K

  1. ((a))

    Only conclusion 1 is true.

  2. ((b))

    Either conclusion 1 or 2 is true.

  3. ((c))

    Both conclusions 1 and 2 are true.

  4. ((d))

    Only conclusion 2 is true.

Show Answer
Answer: ((b))

Either conclusion 1 or 2 is true.

Given Statement: P ≤ T < K = Y ≥ S ≥ E < L

Now,

Conclusions:

  1. K > E → False (K = Y ≥ S ≥ E, this gives K ≥ E).

  2. E = K → False (K = Y ≥ S ≥ E, this gives K ≥ E).

Here, both the conclusions are false but it forms the complementary pair for Either Or.

So, Either conclusion 1 or 2 is true.

Hence, the correct answer is 'Option 2'.

Additional Information Conditions of Either-or case:

  1. The elements should be the same in both the statements.
  2. Both the conclusions should be false individually.
  3. One conclusion should be positive and one conclusion should be negative (Complementary pair)

The two complementary pairs are:

  1. All + Some not

  2. No + Some

Note: Some + Some not is not considered under Either - or case.

7

In a group of 102 students, Priya’s rank is 25th from the top and Kusum’s rank is 20th from the bottom. How many students are between Priya and Kusum?

  1. ((a))

    52

  2. ((b))

    57

  3. ((c))

    55

  4. ((d))

    58

Show Answer
Answer: ((b))

57

Given: A total of 102 students are lined up in a straight row.

Priya’s rank is 25th from the top.

Kusum’s rank is 20th from the bottom.

So, the students standing between Priya and Kusum = Total students - (Position of Priya + Position of Kusum)

= 102 - (25 + 20)

= 102 - 45

= 57.

So, there are '57' students standing between Priya and Kusum.

Hence, the correct answer is 'Option 2'.

8

Mohit walks 120 m towards south then turning to his right he walks 120 m then turning to his left, he walks 90 m. Again, he turns to his left and walks 120 m. How far is he from his initial position?

  1. ((a))

    200 m

  2. ((b))

    210 m

  3. ((c))

    190 m

  4. ((d))

    180 m

Show Answer
Answer: ((b))

210 m

Given: Mohit walks 120 m towards south.

Then turning to his right he walks 120 m.

Then turning to his left, he walks 90 m.

Again, he turns to his left and walks 120 m.

The distance between the Starting Point and the End Point = 210m.

Thus, He is 210m far from his initial position.

Hence, the correct answer is 'Option 2'.

9

In a certain code language, ‘JSEV’ is written as ‘MUHX’, and ‘AFRQ’ is written as ‘DHUS’. How will ‘ZTHN’ be written in that language? 

  1. ((a))

    CWKQ 

  2. ((b))

    BWKQ 

  3. ((c))

    CVKP 

  4. ((d))

    BVJP

Show Answer
Answer: ((c))

CVKP 

The position and positional value of English Alphabets are:

For, ‘JSEV’ is written as ‘MUHX’

For, ‘AFRQ’ is written as ‘DHUS’

Similarly, for 'ZTHN'

So, 'ZTHN' will be written as 'CVKP'.

Hence, the correct answer is 'Option 3'.

10

If ÷ is interchanged with − and × is interchanged with +, then which of the following expressions is correct?

  1. ((a))

    48 ÷ 16 + 8 − 3 × 8 = 19

  2. ((b))

    48 × 16 − 8 + 3 ÷ 8 = 19

  3. ((c))

    48 + 16 × 8 ÷ 3 − 8 = 19

  4. ((d))

    48 − 16 ÷ 8 × 3 + 8 = 19

Show Answer
Answer: ((d))

48 − 16 ÷ 8 × 3 + 8 = 19

BODMAS Rule:

According to the given question:

SymbolsInterchanged with
÷-
×+

Now check all the options one by one:

Option 1) 48 ÷ 16 + 8 − 3 × 8 = 19

Interchanging signs as per given and using BODMAS Rule.

48 - 16 × 8 ÷ 3 + 8 = 19

48 - 16 × 2.6 + 8 = 19

48 - 41.6 + 8 = 19

56 - 41.6 = 19

14.4 ≠ 19.

Hence Option 1, is not correct.

Option 2) 48 × 16 - 8 + 3 ÷ 8 = 19

Interchanging signs as per given and using BODMAS Rule.

48 + 16 ÷ 8 × 3 - 8 = 19

48 + 2 × 3 - 8 = 19

48 + 6 - 8 = 19

54 - 8 = 19

46 ≠ 19.

Hence, Option 2, is not correct.

Option 3) 48 + 16 × 8 ÷ 3 − 8 = 19

Interchanging signs as per given and using BODMAS Rule.

48 × 16 + 8 - 3 ÷ 8 = 19

48 × 16 + 8 - 0.375 = 19

768 + 8 - 0.375 = 19 

776 - 0.375 = 19

775.625 ≠ 19

Hence, Option 3, is not correct.

Option 4) 48 − 16 ÷ 8 × 3 + 8 = 19

Interchanging signs as per given and using BODMAS Rule.

48 ÷ 16 - 8 + 3 × 8 = 19

3 - 8 + 3 × 8 = 19

3 - 8 + 24 = 19

27 - 8 = 19

19 = 19.

Hence, the correct answer is 'Option 4'.

11

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

83, 95, 88, ?, 93, 105, 98

  1. ((a))

    81

  2. ((b))

    92

  3. ((c))

    100

  4. ((d))

    102

Show Answer
Answer: ((c))

100

The logic followed here is:

So, 100 is the missing number.

Hence, the correct answer is 'Option 3'.

12

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

M, 14, O, 16, ?, 18, S, 20

  1. ((a))

    P

  2. ((b))

    S

  3. ((c))

    Q

  4. ((d))

    R

Show Answer
Answer: ((c))

Q

The Position and Positional values of English Alphabets are :

The logic followed here is:

So, Q will complete the series.

Hence, the correct answer is 'Option 3'.

13

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

  1. All circles are squares.

  2. Some squares are coloured.

  3. Some circles are triangles.

Conclusions:

I. Some squares are triangles.

II. Some circles are coloured.

III. Some squares are circles.

  1. ((a))

    Both conclusions I and III follow.

  2. ((b))

    Only conclusion I follows.

  3. ((c))

    Only conclusion III follows.

  4. ((d))

    Only conclusion II follows.

Show Answer
Answer: ((a))

Both conclusions I and III follow.

Given Statements:

  1. All circles are squares.

  2. Some squares are coloured.

  3. Some circles are triangles.

The least possible Venn Diagram for the given statement is:

Conclusions:

I. Some Square are Triangles - True (Because, All circle are square and some circle and triangle thus, so those part of circle which is triangle is also Square).

II. Some Circle are Coloured - False (Because, no definite relation given between Circle and Coloured, so it can be possible only).

III. Some Square are Circle - True (Because, All Circle are Square it also gives Some Square are Circle).

So, Both conclusions I and III follows.

Hence, the correct answer is 'Option 1'.

14

Eight friends (A, B, C, D, E, F, G, H) sit around a circular table, all of them facing the centre. Only three people sit between G and D. D sits second to the right of F. C is a neighbour of D. A sits third to the left of B and neighbour of H. H sits second to the right of C. E and A are not immediate neighbours of each other. Who is sitting between B and E, when counted from the left of E?

  1. ((a))

    D

  2. ((b))

    G

  3. ((c))

    C

  4. ((d))

    F

Show Answer
Answer: ((d))

F

Given: Eight friends (A, B, C, D, E, F, G, H) sit around a circular table, all of them facing the centre.

Only three people sit between G and D.

D sits second to the right of F.

C is a neighbour of D.

H sits second to the right of C.

Case I:

Case II:

A sits third to the left of B and neighbour of H.

E and A are not immediate neighbours of each other.

Case I:

E and A are not immediate neighbours of each other, (This statement cancels the possibility of Case I, so considering Case II).

Now considering the Case II:

Here, F sits between B and E.

Hence, the correct answer is 'Option 4'.

15

If – means multiplication, × means division, ÷ means addition, and + means subtraction, then what is the value of the following expression?

29 + 93 ÷ 81 × 9 - 18

  1. ((a))

    102

  2. ((b))

    99

  3. ((c))

    101

  4. ((d))

    98

Show Answer
Answer: ((d))

98

Given Equation: 29 + 93 ÷ 81 × 9 - 18

BODMAS Rule:

Decoding the Given Information:

Symbols+-÷×
Meaning-×+÷

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

New Equation: 29 - 93 + 81 ÷ 9 × 18

Calculation:

⇒ 29 - 93 + 81 ÷ 9 × 18

⇒ 29 - 93 + 9 × 18

⇒ 29 - 93 + 162 

⇒ 191 - 93 = 98.

Hence, the correct answer is 'Option 4'.

16

How many such numbers are there in the following string each of which is NOT followed by a symbol?

6 K 5 % L T 8 B 4 G 9 # E Q 7 G 5 $ 9 % U P 3 T 8 & W H 6 R

  1. ((a))

    5

  2. ((b))

    6

  3. ((c))

    7

  4. ((d))

    8

Show Answer
Answer: ((b))

6

Given: 6 K 5 % L T 8 B 4 G 9 # E Q 7 G 5 $ 9 % U P 3 T 8 & W H 6 R

Now,

Numbers which are not Followed by a symbol.

Here,

There are Six numbers which are not followed by a symbol.

Hence, the correct answer is 'Option 2'.

17

Sahil is father of Akshita and Raj is son of Roohi. Aman is brother of Sahil. If Akshita is sister of Raj, then how is Roohi related to Aman?

  1. ((a))

    Daughter

  2. ((b))

    Mother

  3. ((c))

    Brother’s wife

  4. ((d))

    Brother

Show Answer
Answer: ((c))

Brother’s wife

Family Chart:

Given: Sahil is father of Akshita and Raj is son of Roohi.

Aman is brother of Sahil.

Akshita is sister of Raj.

So, Roohi is Wife of Aman's Brother.

Hence, the correct answer is 'Option 3'.

18

K, L, M, N, O, P, S are seven friends siting in a row facing north. L sits to the immediate right of K. K sits fourth to the right of M. N is an immediate neighbour of both P and S. The one who sits fourth to the left of S, sits at one of the extreme ends of the row. Who sits fourth from the right end of the row?

  1. ((a))

    K

  2. ((b))

    N

  3. ((c))

    P

  4. ((d))

    S

Show Answer
Answer: ((b))

N

Given: K, L, M, N, O, P, S are seven friends siting in a row facing north.

The one who sits fourth to the left of S, sits at one of the extreme ends of the row.

N is an immediate neighbour of both P and S.

Case I:

Case II:

K sits fourth to the right of M (This statement cancels the possibility of Case I, so considering Case II).

L sits to the immediate right of K.

And, O sits at the remaining place (Extreme left end).

Case II:

Here, N sits fourth from the right end of the row.

Hence, the correct answer is 'Option 2'.

19

In a row of certain students, Karishma is 16th from the left and 18th from the right. What is the total number of students in the row?

  1. ((a))

    36

  2. ((b))

    32

  3. ((c))

    33

  4. ((d))

    34

Show Answer
Answer: ((c))

33

The logic followed here is:

Rank of Karishma from the left end = 16th

Rank of Karishma from the right end = 18th

Total number of student in the row = Rank of Karishma from the left end + Rank of Karishma from the right end - 1.

= 16 + 18 - 1 

= 34 - 1

= 33.

Hence, the correct answer is 'Option 3'.

20

Select the option that is related to the third word in the same way as the second word is related to the first word.

Airplane : Aviation Kerosene :: Car :

  1. ((a))

    Petroleum 

  2. ((b))

    Kerosene 

  3. ((c))

    Coal 

  4. ((d))

    Hydroelectric power

Show Answer
Answer: ((a))

Petroleum 

The logic followed here is:

Logic: The second word is the primary fuel for the first word.

Here,

Airplane : Aviation Kerosene → Aviation Kerosene is the primary fuel for Airplane.

Similarly,

Car : Petroleum → Petroleum is the primary fuel for Car.

Hence, the correct answer is "Option 1".

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