Official Paper

PYST 1: IB Security Assistant & MTS Official Paper - Logical Ability & Reasoning (Held On: 23 March, 2023 Shift 1) (Previous Year Paper)

20 questions · 15 minutes · with answers · free

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Test (20 questions)

1

In a row of certain students, Asha is sitting at 532 from the right and 462 from the left end. Find out the total number of persons in that row.

  1. ((a))

    991

  2. ((b))

    992

  3. ((c))

    990

  4. ((d))

    993

Show Answer
Answer: ((d))

993

The logic followed here is:

Asha is sitting at 532 from the right and 462 from the left end.

Total number of person in that row = Rank of Asha from Right + Rank of Asha from Left - 1.

= 532 + 462 - 1

= 994 - 1

= 993.

Hence, the correct answer is 'Option 4'.

2

Soumya is 17th from the left end and 13th to the right of Kiran who is 37th from the right end. If all of them are facing North. Find out the total number of persons in the row.

  1. ((a))

    41

  2. ((b))

    40

  3. ((c))

    44

  4. ((d))

    43

Show Answer
Answer: ((b))

40

The logic followed here is:

The Rank of Soumya from the left end = 17th.

The Rank of Kiran from the right end = 37th.

The Rank of Soumya from the right end = Rank of Kiran from the right end - 13th.

37 - 13 = 24th.

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

= 17 + 24 - 1 = 40.

Hence, the correct answer is 'Option 2'.

3

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

Statement

D > T ≤ B > A, P ≤ R > S ≠ D

Conclusions

1) P ≠ D

  1. T = A
  1. ((a))

    None of the conclusions follow.

  2. ((b))

    Only conclusion 1 follows.

  3. ((c))

    Only conclusion 2 follows.

  4. ((d))

    Both conclusions 1 and 2 follow

Show Answer
Answer: ((a))

None of the conclusions follow.

Statements: D > T ≤ B > A, P ≤ R > S ≠ D

After combining the statements, we get: P ≤ R > S ≠ D > T ≤ B > A

Conclusions: 

  1. P ≠ D → This does not follow as (P ≤ R > S ≠ D, there is no definite relation can be forms between P and D).

  2. T = A → This does not follow as (T ≤ B > A, there is no definite relation can be forms between T and A).

Thus, None of the conclusion follow.

Hence, the correct answer is 'Option 1'.

4

In a gathering, seven members (A, B, C, D, E, F, G) are sitting in a row facing north. Only two people sit to the left of E. F sits to the immediate right of E. C sits to the immediate left of B. D is not sitting at the extreme end of the row. G sits at the extreme left end of the row. Neither A nor D is the immediate neighbour of the person placed exactly in the middle of the row. Find the person who sits at the extreme right end of the row.

  1. ((a))

    C

  2. ((b))

    B

  3. ((c))

    D

  4. ((d))

    A

Show Answer
Answer: ((d))

A

Given: Seven members (A, B, C, D, E, F, G) are sitting in a row facing north.

Only two people sit to the left of E. F sits to the immediate right of E.

G sits at the extreme left end of the row.

C sits to the immediate left of B. D is not sitting at the extreme end of the row.

Neither A nor D is the immediate neighbour of the person placed exactly in the middle of the row.

A is sitting at the extreme right end of the row.

Hence, the correct answer is 'Option 4'.

5

In a certain code language, ‘BLOCK’ is written as ‘ELUCT’, and ‘FLANK’ is written as ‘ILGNT’. How will ‘WHILE’ be written in that language?

  1. ((a))

    YHMLE

  2. ((b))

    ZHOLN

  3. ((c))

    YGOMN

  4. ((d))

    ZGOML

Show Answer
Answer: ((b))

ZHOLN

The position and positional values of English Alphabets are as follows:

The logic followed here is:

For, 'BLOCK' is written as 'ELUCT'.

For, 'FLANK' is written as 'ILGNT'.

Similarly, 'WHILE' will be:

Thus, 'WHILE' can be written as 'ZHOLN'.

Hence, the correct answer is 'Option 2'.

6

Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.

181 * 7 * 9 * 18 * 9 = 120

  1. ((a))

    ÷ × + −

  2. ((b))

    − × + ÷ 

  3. ((c))
    • × ÷ −
  4. ((d))

    × + − ÷

Show Answer
Answer: ((b))

− × + ÷ 

Given Equation: 181 * 7 * 9 * 18 * 9 = 120

BODMAS Rule:

6203fea433474e3b330f0951_22-7-22_Shashi Savita_D1.png

Let's check each option one by one:

Option 1) ÷ × + −

Given: 181 * 7 * 9 * 18 * 9 = 120

After replacing * signs we get;

⇒ 181 ÷ 7 × 9 + 18 - 9 = 120

⇒ 25.8 × 9 + 18 - 9 = 120

⇒ 232.2 + 18 - 9 = 120

⇒ 250.2 - 9 = 241.2

⇒ 241.2 ≠ 120.

Option 2) − × + ÷ 

Given: 181 * 7 * 9 * 18 * 9 = 120

After replacing * signs we get;

⇒ 181 - 7 × 9 + 18 ÷ 9 = 120

⇒ 181 - 7 × 9 + 2 = 120

⇒ 181 + 2 - 63 = 120

⇒ 183 - 63 = 120

⇒ 120 = 120.

Option 3) + × ÷ −

Given: 181 * 7 * 9 * 18 * 9 = 120

After replacing * signs we get;

⇒ 181 + 7 × 9  ÷ 18 - 9 = 120

⇒ 181 + 7 × 0.5 - 9 = 120

⇒ 181 + 3.5 - 9 = 120

⇒ 184.5 - 9 = 175.5

⇒ 175.5  ≠ 120.

Option 4) × + − ÷

Given: 181 * 7 * 9 * 18 * 9 = 120

After replacing * signs we get;

⇒ 181 × 7 + 9 - 18 ÷  9 = 120

⇒ 181 × 7 + 9 - 2 = 120

⇒ 1267 + 9 - 2 = 120

⇒ 1276 - 2 = 120

⇒ 1276 ≠ 120.

Hence, the correct answer is 'Option 2'.

7

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 books are purses.
  2. All yellow are purses .
  3. Some papers are yellow.

Conclusions:

I. Some books are yellow.

II. Some purses are papers.

  1. ((a))

    Both conclusions I and II follow.

  2. ((b))

    Only conclusion II follows.

  3. ((c))

    Neither conclusion I nor II follow. 

  4. ((d))

    Only conclusion I follows.

Show Answer
Answer: ((b))

Only conclusion II follows.

The least possible Venn diagram for the given statement is:

Conclusions:

I. Some books are yellow → Does not follow (As, there is no definite relation given between Books and Yellow, so it can be possible only).

II. Some purses are papers → Follows (The part of paper which also yellow is purse as it is given in statement that some paper are yellow).

Thus, only conclusion II follows.

Hence, the correct answer is 'Option 2'.

8

Diksha walks 20 m towards the south, turns left and walks 30 m, after which, she turns right and walks 30 m. Again, she turns right and walks 30 m, after which, she takes a final right turn and walks 20 m. How far is she from the starting point?

  1. ((a))

    40 m 

  2. ((b))

    50 m

  3. ((c))

    30 m

  4. ((d))

    10 m

Show Answer
Answer: ((c))

30 m

Given:

Diksha walks 20 m towards the south, turns left and walks 30 m, after which, she turns right and walks 30 m.

Again, She turns right and walks 30 m, after which, she takes a final right turn and walks 20 m.

The Distance between the Starting point and Final point is 30m.

Hence, the correct answer is 'Option 3'.

9

Veer is the brother of Rohan and Hari. Rita is Hari’s mother. Ram is Rohan’s father. How is Veer related to Ram?

  1. ((a))

    Son’s son

  2. ((b))

    Brother 

  3. ((c))

    Father

  4. ((d))

    Son

Show Answer
Answer: ((d))

Son

Family Chart:

Given:

Veer is the brother of Rohan and Hari. Rita is Hari’s mother and Ram is Rohan’s father.

So, Veer is the son of Ram.

Hence, the correct answer is 'Option 4'.

10

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

51, 54, 59, ?, 75, 86

  1. ((a))

    69

  2. ((b))

    64

  3. ((c))

    66

  4. ((d))

    65

Show Answer
Answer: ((c))

66

The logic followed here is:

So, 66 will complete the series.

Hence, the correct answer is 'Option 3'.

11

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

Please note that the reasoning for the answer is to be deduced considering the actual meaning of the words and not basis the counting of letters, vowels, consonants or any other such parameters.

  1. ((a))

    Chisel

  2. ((b))

    Rake

  3. ((c))

    Sickle

  4. ((d))

    Shovel

Show Answer
Answer: ((a))

Chisel

The logic followed here is:

1. Chisel: a tool with a sharp end that is used for cutting or shaping wood or stone.

  1. Rake: a garden tool with a long handle and a row of metal teeth, used for collecting leaves or making the earth smooth.
  2. Sickle: a tool with a short handle and a long, curved metal part with a sharp edge (a blade) that is used for cutting long grass, corn, etc.
  3. Shovel: a tool used for picking up and moving earth, snow, sand, etc.

Here, Except "Chisel" all the three are tools used in garden. Chisel is used in cutting or shaping wood or stone.

Hence, the correct answer is 'Option 1'.

12

In a certain code language, ‘BUREAU’ is written as ‘RUBUAE’, and ‘NUMBER’ is written as ‘MUNREB’. How will be ‘DETECT’ be written in that language? 

  1. ((a))

    ETEDEC 

  2. ((b))

    TEDTCE 

  3. ((c))

    EDECTC 

  4. ((d))

    TCETED

Show Answer
Answer: ((b))

TEDTCE 

The position and positional value of English Alphabets are:

The logic followed here is:

For, ‘BUREAU’ is written as ‘RUBUAE’

For, ‘NUMBER’ is written as ‘MUNREB’

Similarly, 'DETECT' will be written as:

So, 'DETECT' will be written as 'TEDTCE'.

Hence, the correct answer is 'Option 2'.

13

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

342, 215, 124, ?, 26, 7

  1. ((a))

    67

  2. ((b))

    63

  3. ((c))

    61

  4. ((d))

    65

Show Answer
Answer: ((b))

63

The logic followed here is: (Number)3 - 1 = Terms of series.

Hence, the correct answer is 'Option 2'.

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 F and E. E sits second to the right of G. B is immediate the neighbour of E but not D. C sits third to the left of D. A sits second, to the right of B. H and C are not immediate neighbours of each other. Who is sitting between D and H, when counted from the right of D?

  1. ((a))

    A

  2. ((b))

    E

  3. ((c))

    F

  4. ((d))

    G

Show Answer
Answer: ((d))

G

Given: Eight friends - A, B, C, D, E, F, G, H, sitting around a circular table, facing centre.

E sits second to the right of G.

Only three people sit between F and E.

B is immediate the neighbour of E but not D.

A sits second, to the right of B.

Case I:

Case II:

C sits third to the left of D.

H and C are not immediate neighbours of each other.

Case I:

Case II:

Case II, Contradicts H and C are not immediate neighbour of each other.

Hence, Case II becomes false.

So, the final arrangement is:

From Case I, G is sitting between D and H when counted from right of D.

Hence, the correct answer is 'Option 4'.

15

How many such symbols are there in the following string, each of which is exactly preceded by a letter but NOT followed by a number?

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

  1. ((a))

    2

  2. ((b))

    4

  3. ((c))

    5

  4. ((d))

    3

Show Answer
Answer: ((a))

2

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

Symbols in the following string which are exactly preceded by a letter but NOT followed by a number.

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

So, there are '2 Symbols' which are preceded by a letter but NOT followed by a number.

Hence, the correct answer is 'Option 1'.

16

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

8 W H 6 T 8 4 G 9 E R 6 K 5 L Q 7 U P 3

  1. ((a))

    7

  2. ((b))

    9

  3. ((c))

    6

  4. ((d))

    8

Show Answer
Answer: ((a))

7

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

Letters which are followed by a number:

8 W H 6 T 8 4 G 9 E R 6 K 5 L Q 7 U P 3.

So, we can say the there are '7 letters' in the given string which are followed by number.

Hence, the correct answer is 'Option 1'.

17

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

DFH, EHK, FJN, ?

  1. ((a))

    GMR 

  2. ((b))

    GLQ 

  3. ((c))

    GLT 

  4. ((d))

    GJN

Show Answer
Answer: ((b))

GLQ 

The position and positional values of English Alphabets are as follows:

The logic followed here is:

Hence, the correct answer is 'Option 2'.

18

What is the approximate value of the following expression?

198.98 − (98.89 + 9.98) + 9 − 1.89 + 9.09 = ?

  1. ((a))

    115 

  2. ((b))

    106 

  3. ((c))

    121 

  4. ((d))

    100

Show Answer
Answer: ((b))

106 

BODMAS Rule:

Given: 198.98 − (98.89 + 9.98) + 9 − 1.89 + 9.09 = ? 

Taking approximate values,

⇒199 - (99 + 10) + 9 - 2 + 9 = ?

⇒199 - 109 + 9 - 2 + 9 = ?

Arranging the equation: 

⇒199 + 9 + 9 - 109 - 2 = ?

⇒217 - 109 -2 = ?

⇒108 - 2 = 106.

Hence, the correct answer is 'Option 2'.

19

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

Please note that the reasoning for the answer is to be deduced considering the actual meaning of the words and not basis the counting of letters, vowels, consonants or any other such parameters.

  1. ((a))

    Female Peacock 

  2. ((b))

    Sparrow 

  3. ((c))

    Hen 

  4. ((d))

    Ostrich

Show Answer
Answer: ((d))

Ostrich

The logic followed here is:

  1. Female Peacock: are able to fly.
  2. Sparrow: are able to fly high.

3.Hen: are able fly short distance.

4. Ostrich: are unable to fly, they can run fast as they have long legs.

All are flying birds except 'Ostrich'.

Hence, the correct answer is 'Option 4'.

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.

Stop : Cease :: Start : ?

  1. ((a))

    Set up

  2. ((b))

    Endeavour 

  3. ((c))

    End 

  4. ((d))

    Commence

Show Answer
Answer: ((d))

Commence

The logic followed here is:

Logic: Words are synonyms of each other.

  • Stop : Cease → Stop is the synonym of Cease.

Similarly,

  • Start : ? → Start is the synonym of Commence.

Hence, the correct answer is 'Option 4'.

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