Official Paper

PYST 3: IB Security Assistant & MTS Official Paper - Logical Ability & Reasoning (Held On: 23 March, 2023 Shift 3) (Previous Year Paper)

20 questions · 15 minutes · with answers · free

Test (20 questions)

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

22 * 16 * 12 * 3 * 3 * 2 * 4

((a))
̶ , +, ÷, =, ×, +
((b))
- , ̶ , ÷, ×, =, +
((c))
̶ , +, ÷, ×, =, +
((d))
̶ , +, ×, =, ÷, +

Show Answer

Answer: ((a))

̶ , +, ÷, =, ×, +

Given equation: 22 * 16 * 12 * 3 * 3 * 2 * 4

BODMAS Rule:

6203fea433474e3b330f0951_22-7-22_Shashi Savita_D1.png

Let's check each option one by one:

Option 1) ̶ , +, ÷, =, ×, +

Given: 22 * 16 * 12 * 3 * 3 * 2 * 4

After replacing * signs we get;

⇒ 22 - 16 + 12 ÷ 3 = 3 × 2 + 4

⇒ 22 - 16 + 4 = 3 × 2 + 4

⇒ 22 - 16 + 4 = 6 + 4

⇒ 26 - 16 = 10

⇒ 10 = 10.

Hence, Option 1, satisfies the equation.

Option 2) + , ̶ , ÷, ×, =, +

Given: 22 * 16 * 12 * 3 * 3 * 2 * 4

After replacing * signs we get;

⇒ 22 + 16 - 12 ÷ 3 × 3 = 2 + 4

⇒ 22 + 16 - 4 × 3 = 6

⇒ 22 + 16 - 12 = 6

⇒ 38 - 12 = 6

⇒ 26 ≠ 6.

Option 3) ̶ , +, ÷, ×, =, +

Given: 22 * 16 * 12 * 3 * 3 * 2 * 4

After replacing * signs we get;

⇒ 22 - 16 + 12 ÷ 3 × 3 = 2 + 4

⇒ 22 - 16 + 4 × 3 = 2 + 4

⇒ 22 - 16 + 12 = 6

⇒ 34 - 16 = 6

⇒ 18 ≠ 6.

Option 4) ̶ , +, ×, =, ÷, +

Given: 22 * 16 * 12 * 3 * 3 * 2 * 4

After replacing * signs we get;

⇒ 22 - 16 + 12 × 3 = 3 ÷ 2 + 4

⇒ 22 - 16 + 12 × 3 = 1.5 + 4

⇒ 22 - 16 + 36 = 1.5 + 4

⇒ 58 - 16 = 5.5

⇒ 42 ≠ 5.5.

Hence, the correct answer is 'Option 1'.

In a certain code language, 'CIVILIAN' is coded as '251961916192714' and 'COLONIAL' is coded as '2513161314192716'. How will 'COMPLAIN' be coded in that language?

((a))
2513151216271914
((b))
2512151215271914
((c))
2514161217271914
((d))
2412141115261813

Show Answer

Answer: ((a))

2513151216271914

The position and positional values of English Alphabets are:

Alphabet Dia.png

The logic followed here is: Each letter of a word is coded as its positional value in reverse Alphabetical order + 1.

For, 'CIVILIAN' is coded as '251961916192714'

For, 'COLONIAL' is coded as '2513161314192716'

Similarly, 'COMPLAIN' will be coded as:

'COMPLAIN' is coded as '2513151316271914'.

Hence, the correct answer is 'Option 1'.

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 :

All hyenas are pandas

Some deer are buffaloes

Some hyenas are scorpions

Conclusions :

(I) Some pandas are deer

(II) Some hyenas are buffaloes

(III) Some pandas are scorpions

((a))
Only conclusion I follows
((b))
Only conclusion III follow
((c))
None of the conclusions follow
((d))
Only conclusion II follows

Show Answer

Answer: ((b))

Only conclusion III follow

Given statements:

All hyenas are pandas

Some deer are buffaloes

Some hyenas are scorpions

The least possible Venn diagram for the given statements is:

Conclusions:

(I) Some pandas are deer → False (There is no definite relation given between Pandas and Deer, so it can be possible only).

(II) Some hyenas are buffaloes → False (There is no definite relation given between hyenas and buffaloes, so it can be possible only).

(III) Some pandas are scorpions → True (The part of Pandas which is Hyenas are also Scorpions so, Some Pandas are Scorpions).

So, Only Conclusion III, Follows.

Hence, the correct answer is 'Option 2'.

B, D, F, H, G, O, T and W are eight family members. B is the brother of G. T is the son of W. O is the son of G. H is D’s wife. G and W are sisters. F is the son of B. D is the father of B. How is H related to O?

((a))
Maternal cousin
((b))
Mother’s mother
((c))
Father’s mother
((d))
Mother’s sister

Show Answer

Answer: ((b))

Mother’s mother

Family Chart:

Given: B, D, F, H, G, O, T and W are eight family members.

B is the brother of G.

T is the son of W.

O is the son of G.

H is D’s wife. G and W are sisters.

F is the son of B.

D is the father of B.

So, H is mother's mother of O.

Hence, the correct answer is 'Option 2'.

Each of the digits in the number 56249324861 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and second from the right in the new number thus formed?

((a))
12
((b))
10
((c))
8
((d))
9

Show Answer

Answer: ((b))

Given Number: '56249324861'

Now arranging digits in ascending order from left to right.

Digit	5	6	2	4	9	3	2	4	8	6	1
In Ascending order from left to right	1	2	2	3	4	4	5	6	6	8	9

The new number formed is : 12234456689

2nd Digit from left = 2

2nd Digit from right = 8

Sum of digits = 2^nd from left + 2^nd from right in new number.

2 + 8 = 10.

Hence, the correct answer is 'Option 2'.

Each vowel in the word TABLE is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter preceding it in the English alphabetical order. If each letter, thus formed, is arranged in alphabetical order, which letter will be third from the right?

((a))
B
((b))
F
((c))
K
((d))
A

Show Answer

Answer: ((b))

The position and positional value of English Alphabets are:

Given Word: TABLE

Now,

Each vowel in the word TABLE is changed to the letter following it in the English alphabetical order

And each consonant is changed to the letter preceding it in the English alphabetical order.

Word	T	A	B	L	E
Consonant changed to preceding letter and Vowel changed Following letter	S	B	A	K	F

Arranging all letter in Alphabetical order: A B F K S

Now, the letter third from the right is: F.

Hence, the correct answer is 'Option 2'.

Rogerio, in search of an internet café, walked 30 m due North. He turned right and walked 18 m. He again turned right and walked 30 m. Finally, he turned left and walked 22 m to reach the internet café. How far and in which direction is the internet café from his starting point?

((a))
40 m due west
((b))
100 m due East
((c))
60 m due East
((d))
40 m due East

Show Answer

Answer: ((d))

40 m due East

According to the given statement: Rogerio, in search of an internet café, walked 30 m due North.

He turned right and walked 18 m.

He again turned right and walked 30 m.

Finally, he turned left and walked 22 m to reach the internet café.

Distance between Starting point and Final Point : 18m + 22m = 40m.

So, the Internet cafe is 40m in the East Direction from the starting point.

Hence, the correct answer is 'Option 4'.

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)

((a))
FJIL
((b))
MQPS
((c))
YCBF
((d))
PTSV

Show Answer

Answer: ((c))

YCBF

The position and positional values of English Alphabets are:

The logic followed here is:

Option 1) FJIL

Option 2) MQPS

Option 3) YCBF

Option 4) PTSV

Here, YCBF is odd among the given options.

Hence, the correct answer is 'Option 3'.

Seven boxes V, U, T, S, R, Q and P are kept one above the other, but not necessarily in the same order. S is at the lowermost position. Only V is kept above R. Only three boxes are kept between U and S. Q is kept immediately above T, which is kept above P. How many boxes are kept between V and P?

((a))
3
((b))
5
((c))
4
((d))
2

Show Answer

Answer: ((c))

Given: Seven boxes V, U, T, S, R, Q and P are kept one above the other, but not necessarily in the same order.

S is at the lowermost position.

Only V is kept above R.

Only three boxes are kept between U and S.

Position	Box
7	V
6	R
5	U
4
3
2
1	S

Q is kept immediately above T, which is kept above P.

Position	Box
7	V
6	R
5	U
4	Q
3	T
2	P
1	S

Here, Four boxes are kept between V and P.

Hence, the correct answer is 'Option 3'.

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

8, 32, 16, 64, 32, 128, ?

((a))
64
((b))
48
((c))
192
((d))
256

Show Answer

Answer: ((a))

The logic followed here is:

So, 64 will complete the series.

Hence, the correct answer is 'Option 1'.

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

Statement:

U ≤ R = W < V > X ≥ Z > Y

Conclusions:

I. Y < X

II. V > U

((a))
Only conclusion I is true
((b))
Both conclusions I and II are true
((c))
Neither conclusion I nor II is true
((d))
Only conclusion II is true

Show Answer

Answer: ((b))

Both conclusions I and II are true

Given Statement: U ≤ R = W < V > X ≥ Z > Y

Now,

Conclusions:

I. Y < X → True ( X ≥ Z > Y, gives X > Y).

II. V > U → True (U ≤ R = W < V, gives U < V).

Here, Both Conclusion I and Conclusion II follow.

Hence, the correct answer is 'Option 2'.

J, K, L, M, N and O live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2, and so on till the topmost floor is numbered 6. M lives on floor number 2. K and M are immediate neighbours. O lives on the floor immediately above K. N lives on the topmost floor. J lives on an odd numbered floor, exactly above O. On which floor does L live?

((a))
1
((b))
5
((c))
4
((d))
3

Show Answer

Answer: ((a))

Given: J, K, L, M, N and O live on six different floors of the same building.

The lowermost floor in the building is numbered 1, the floor above it is numbered 2, and so on till the topmost floor is numbered 6.

M lives on floor number 2.

N lives on the topmost floor.

O lives on the floor immediately above K.

K and M are immediate neighbours.

Floor	Person
6	N
5
4	O
3	K
2	M
1

J lives on an odd numbered floor, exactly above O.

Floor	Person
6	N
5	J
4	O
3	K
2	M
1	L

So, from the given arrangement L lives on the 1^st floor.

Hence the correct answer is 'Option 1'.

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

(Left) 7 + * 7 # & 8 6 5 % 4 $ 6 # @ 4 7 ! 2 5 (Right)

How many such symbols are there (from left to right) in the above series which are immediately preceded by a symbol and also immediately followed by an even number?

((a))
4
((b))
3
((c))
1
((d))
2

Show Answer

Answer: ((d))

Given: (Left) 7 + * 7 # & 8 6 5 % 4 $ 6 # @ 4 7 ! 2 5 (Right)

Now,

Symbols (from left to right) in the above series which are immediately preceded by a symbol and also immediately followed by an even number.

So, Needed pattern is: Symbol → Symbol → Even Number.

Here,

There are 2 pairs having the symbol immediately preceded by a symbol and also immediately followed by an even number.

Hence, the correct answer is 'Option 4'.

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

B2Y, C3X, D6W, E9V, ?

((a))
F12U
((b))
G36U
((c))
F45U
((d))
F18U

Show Answer

Answer: ((d))

F18U

The position and positional values of English Alphabets are:

The logic followed here is:

So, 'F18U' will complete the series.

Hence, the correct answer is 'Option 4'.

Z, Y, X, W, T, S, R and Q are eight colleagues, sitting around a circular table at equal distance to each other facing the centre, not necessarily in the same order. S is an immediate neighbour of both Z and W. X is an immediate neighbour of both Y and T. R sits to the immediate right of Z. Q sits to the immediate left of W. Y sits second to the left of W. Who sits second to the right of S?

((a))
Q
((b))
T
((c))
X
((d))
R

Show Answer

Answer: ((d))

Given: Z, Y, X, W, T, S, R and Q are eight colleagues, sitting around a circular table at equal distance to each other facing the centre, not necessarily in the same order.

S is an immediate neighbour of both Z and W.

R sits to the immediate right of Z.

Q sits to the immediate left of W.

Y sits second to the left of W.

X is an immediate neighbour of both Y and T.

Here, R sits second to the right of S.

Hence, the correct answer is 'Option 4'.

In the given letter - cluster pairs, the first letter-cluster is related to the second letter - cluster following a certain logic. Study the given pairs carefully, and from the given options, select the pair that follows the same logic.

ENT : FQV

FET : GHV

((a))
TEN : UHP
((b))
GMT : HOV
((c))
SHE : TKH
((d))
QRY : SUB

Show Answer

Answer: ((a))

TEN : UHP

The position and positional values of English Alphabets are:

The logic followed here is:

Now,

ENT : FQV

FET : GHV

Similarly For, TEN : UHP

Hence, the correct answer is 'Option 1'.

In this question, a group of numbers/symbols is coded using letters as per the table given below and the conditions which follow. The correct combination of codes following the condition is your answer.

Number / Symbol	1	3	#	@	$	7	<	&	2	%	!	4	/	6
Code	E	F	A	C	B	P	W	Y	M	J	K	R	T	U

Conditions :

(i) If the first element is a symbol and the third a number, the codes for these two are to be interchanged.

(ii) If the first element is an odd number and the last an even number, the first and the last elements are to be coded as Ø.

(iii) If both the second and third elements are perfect squares, the third element is to be coded as the code for the second element.

How will '# 3 2 < &' be coded ?

((a))
MFAYW
((b))
MFFWY
((c))
MFAWY
((d))
AFMWY

Show Answer

Answer: ((c))

MFAWY

Given:

Number/ Symbol	1	3	#	@	$	7	<	&	2	%	!	4	/	6
Code	E	F	A	C	B	P	W	Y	M	J	K	R	T	U

Rule No.	Conditions	Results
1	If the first element is a symbol and the third a number,	the codes for these two are to be interchanged.
2	If the first element is an odd number and the last an even number,	the first and the last elements are to be coded as Ø
3	If both the second and third elements are perfect squares,	the third element is to be coded as the code for the second element.

Given Code: '# 3 2 < &'

Here, Rule no.1 is applied in the given code.

If the first element is a symbol and the third a number, the codes for these two are to be interchanged.

So, the code for '# 3 2 < &' is " M F A W Y.

Hence, the correct answer is 'Option 3'.

Eight classmates P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre, but not necessarily in the same order. W sits exactly between S and Q. V sits exactly between T and P. U sits to the immediate left of S. V sits to the immediate right of T. R sits exactly between T and Q. Who sits to the immediate left of U?