Official Paper

PYST 6: IB Security Assistant & MTS Official Paper - Logical Ability & Reasoning (Held On: 24 March, 2023 Shift 3) (Previous Year Paper)

20 questions · 15 minutes · with answers · free

Test (20 questions)

There are six boxes, namely P, Q, R, S, T, U, which are kept one above the other. R is kept immediately above P. T is kept immediately above U. Only two boxes are kept between T and S. T is not at the topmost or at the lowermost position. P is above U. Q is kept immediately above S. R is neither kept immediately above nor immediately below T. U is kept at one of the positions above S. There are only 2 boxes between R and U. Which of the following boxes is kept immediately below U?

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

Show Answer

Answer: ((c))

Given: There are six boxes, namely P, Q, R, S, T, U, which are kept one above the other.

There are only 2 boxes between R and U.

T is kept immediately above U.

T is not at the topmost or at the lowermost position.

R is neither kept immediately above nor immediately below T.

P is above U.

R is kept immediately above P.

Position	Box
6	R
5	P
4	T
3	U
2
1

Only two boxes are kept between T and S.

U is kept at one of the positions above S.

Q is kept immediately above S.

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

So, Q is kept immediately below U.

Hence, the correct answer is 'Option 3'.

Seven boxes – A, B, C, D, E, F and G are kept one above the other in a stack. G is kept at the bottommost position. A is kept immediately above G. There are 2 boxes between F and A. E is kept third from the bottom. B is kept immediately above D. How many boxes are there between F and E?

((a))
Three
((b))
One
((c))
Four
((d))
Two

Show Answer

Answer: ((b))

One

Given: Seven boxes – A, B, C, D, E, F and G are kept one above the other in a stack.

G is kept at the bottommost position.

E is kept third from the bottom.

A is kept immediately above G.

There are 2 boxes between F and A.

Position	Box
7
6
5	F
4
3	E
2	A
1	G

B is kept immediately above D.

Position	Box
7	B
6	D
5	F
4	C
3	E
2	A
1	G

Here, Only One Box is kept between E and F.

Hence, the correct answer is 'Option 2'.

In a certain code language, ‘greater than person’ is written as 476, ‘there is no greater’ is written as 8243, ‘no person is right’ is written as 2817, and ‘disability no greater’ is written as 548. What is the code for ‘right’ in that language?

((a))
2
((b))
4
((c))
8
((d))
1

Show Answer

Answer: ((d))

Given:

‘greater than person’ is written as 476

‘there is no greater’ is written as 8243

‘no person is right’ is written as 2817

‘disability no greater’ is written as 548

Here,

'7' is the code for 'Person'

'8' is the code for 'No'

'2' is the code for 'Is'

'1' is the code for 'Right'.

Hence, the correct answer is 'Option 4'.

Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.

IMPI_ EIMP _ GEIM_ _ NGEI_ _ INGE

((a))
GINNMIPP
((b))
GNNIMIPP
((c))
NGINPIMP
((d))
GNNIPIMP

Show Answer

Answer: ((c))

NGINPIMP

The logic followed here is:

Option 1) GINNMIPP

I M P I G I E / I M P N N G E / I M M I N G E / I P P I N G E → Does not follow pattern.

Option 2) GNNIMIPP

I M P I G N E / I M P N I G E / I M M I N G E / I P P I N G E → Does not follow pattern.

Option 3) NGINPIMP

I M P I N G E / I M P I N G E / I M P I N G E/ I M P I N G E → Follows a pattern of IMPINGE.

Option 4) GNNIPIMP

I M P I G N E / I M P N I G E / I M P I N G E / I M P I N G E → Does not follow pattern.

Hence, the correct answer is 'Option 3'.

We can see, there is a series of 7 letters which are repeating itself.

IMPI_ E / IMP _ GE / IM_ _ NGE / I_ _ INGE

So,

First letter = I

Second letter = M

Third letter = P

Fourth letter = I

Fifth letter = N

Sixth letter = G

Seventh letter = E

So, Series will be:

IMPI N G E / IMP I N GE / IM P I NGE / I M P INGE

So, the missing terms are:

NGINPIMP

Hence, option 3 is the correct answer.

A, B, C, D, E and F are six members in a family. The family consists of two married couples. The family members are a lawyer, teacher, businessman, engineer, accountant and doctor. A, the lady teacher, is married to the businessman. The lawyer is married to B, who is a doctor. F, the accountant, is the son of B and the brother of E. C, the lawyer, is the daughter-in-law of A. E is the unmarried engineer. A’s son’s son is F. How is D related to F?

((a))
Father
((b))
Paternal grandfather
((c))
Brother
((d))
Daughter’s son

Show Answer

Answer: ((b))

Paternal grandfather

Family Chart:

Given: A, B, C, D, E and F are six members in a family.

The family consists of two married couples.

The family members are a lawyer, teacher, businessman, engineer, accountant and doctor.

A, the lady teacher, is married to the businessman.

The lawyer is married to B, who is a doctor.

F, the accountant, is the son of B and the brother of E.

C, the lawyer, is the daughter-in-law of A.

E is the unmarried engineer.

A’s son’s son is F.

So, D is Paternal Grandfather of F.

Hence, the correct answer is 'Option 2'.

What approximate value should come in place of the question mark (?) in the following equation?

48.09% of 1698 + 59% of 2387.98 − ? = 1225

((a))
1040
((b))
1000
((c))
1060
((d))
1076

Show Answer

Answer: ((b))

1000

BODMAS Table:

Displaying 6203fea433474e3b330f0951_22-7-22_Shashi Savita_D1.png

Given: 48.09% of 1698 + 59% of 2387.98 − ? = 1225

Taking Approximate Values,

⇒ 48% of 1700 + 59% of 2388 - ? = 1225

⇒ 48 × 17 + 59 × 23.88 - ? = 1225

⇒ 816 + 1409 - ? = 1225

⇒ 2225 - ? = 1225

⇒ ? = 2225 - 1225

⇒ ? = 1000.

Hence, the correct answer is 'Option 2'.

If 1^stJanuary 1997 was a Wednesday, what was the day of the week on 24th June 1997?

((a))
Wednesday
((b))
Tuesday
((c))
Monday
((d))
Sunday

Show Answer

Answer: ((b))

Tuesday

Given: 1^st January 1997 was a Wednesday.

Now, 24^th June 1997 will be on:

Number of Odd Days between 1 January 1997 and 24 June 1997, As 28 days of a month = 4 weeks

Then, days more than or extra from these 28 days in a month will be considered.

= 2(Jan) + 0 (Feb) + 3 (March) + 2(April) + 3(May) + 24 (June) = 34 days

= 34 days = 34/7 = 4 weeks and 6 odd days

So, 24 June 1997 will be on = Wednesday + 6 days = Tuesday.

Hence, the correct answer is 'Option 2'.

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

((a))
KJM - PQN
((b))
DCF - WXU
((c))
QPR - KJI
((d))
GFI - TUR

Show Answer

Answer: ((c))

QPR - KJI

The position and positional values of English Alphabets are:

Let's check each option One by One:

Option 1) KJM - PQN

Option 2) DCF - WXU

Option 3) QPR - KJI

Option 4) GFI - TUR

So, QPR -KJI is odd among the given Options.

Hence, the correct answer is 'Option 3'.

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

16 × 25 ÷ (121 − 11) = 389

((a))
(+ and −)
((b))
(− and ×)
((c))
(× and ÷)
((d))
(− and ÷)

Show Answer

Answer: ((d))

(− and ÷)

Given Equation: 16 × 25 ÷ (121 − 11) = 389

BODMAS Table:

Let's check each option One by One:

Option 1) (+ and -)

Given: 16 × 25 ÷ (121 − 11) = 389

After interchanging the signs we get:

16 × 25 ÷ (121 + 11) = 389

16 × 25 ÷ 132 = 389

16 × 0.18 = 389

3.03 ≠ 389.

Option 2) (− and ×)

Given: 16 × 25 ÷ (121 − 11) = 389

After interchanging the signs we get:

16 - 25 ÷ (121 × 11) = 389

16 - 25 ÷ 1331 = 389

16 - 0.018 = 389

15.98 ≠ 389.

Option 3) (× and ÷)

Given: 16 × 25 ÷ (121 − 11) = 389

After interchanging the signs we get:

16 ÷ 25 × (121 − 11) = 389

16 ÷ 25 × 110 = 389

0.64 × 110 = 389

70.4 ≠ 389.

Option 4) (− and ÷)

Given: 16 × 25 ÷ (121 − 11) = 389

After interchanging the signs we get:

16 × 25 - (121 ÷ 11) = 389

16 × 25 - 11 = 389

400 - 11 = 389

389 = 389.

Hence, the correct answer is 'Option 4'.

Q walks 100 m towards the north. Then he turns right and walks 150 m. Then he turns right and walks 170 m. Then he turns left and walks 80 m. Finally, he turns left and walks 70 m. How many metres and in which direction is he from the starting position?

((a))
200 m towards the west
((b))
240 m towards the east
((c))
230 m towards the east
((d))
250 m towards the west

Show Answer

Answer: ((c))

230 m towards the east

Given: Q walks 100 m towards the north.

Then he turns right and walks 150 m.

Then he turns right and walks 170 m.

Then he turns left and walks 80 m.

Finally, he turns left and walks 70 m.

The distance between starting and ending point = 150m + 80m = 230m.

So, Q is in the 230m towards the East direction from starting point.

Hence, the correct answer is 'Option 3'.

The following question is based on the given diagram. The triangle represents ‘teachers’, the circle represents ‘players’, and the rectangle represents ‘musicians’.

Which numbered space in the diagram represents teachers who are also players and musicians?

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

Show Answer

Answer: ((a))

According to the given Venn Diagram:

The shaded are in the diagram represents teachers who are also players and musicians.

So, the number of teachers who are also players and musicians = 5.

Hence, the correct answer is 'Option 1'.

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

JHL : MKO :: PNR : SQU

((a))
VTS : YWV
((b))
ZXC : VUX
((c))
WUX : YXB
((d))
WTX : ZXA

Show Answer

Answer: ((a))

VTS : YWV

The position and positional values of English Alphabets are:

The logic followed here is:

For, JHL : MKO

For, PNR : SQU

Let's check each Option One by One:

Option 1) VTS : YWV

Option 2) ZXC : VUX

Option 3) WUX : YXB

Option 4) WTX : ZXA

So, Only VTS : YWV is similar to the given letter clusters.

Hence, the correct answer is 'Option 1'.

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

5, 20, 80, 320, 1280, ?

((a))
4890
((b))
5120
((c))
4760
((d))
4430

Show Answer

Answer: ((b))

5120

The logic followed here is :

So, 5120 will complete the series.

Hence, the correct answer is 'Option 2'.

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

#	8	%	@	6	&	1	*	!	7
A	L	B	T	Q	I	E	D	F	U

Condition 1: If a word starts with a vowel but ends with a consonant then codes for first and last letter to be reversed.

Condition 2: If there are more than two vowels in a word, then the first vowel is to be coded as 1. the second vowel as 2 and so on.

Condition 3: If a word starts with a consonant and also ends with a vowel then vowels are to be coded after coding all the consonants.

What is the code for “BEAUTIFUL”

((a))
%1#7@4!78
((b))
%123@4!58
((c))
%123@&!78
((d))
%1#7&@!78

Show Answer

Answer: ((b))

%123@4!58

Given:

Codes for the given Alphabets	#	8	%	@	6	&	1	*	!	7
Alphabets	A	L	B	T	Q	I	E	D	F	U

Rule No.	Conditions	Results
1	If a word starts with a vowel but ends with a consonant	then codes for first and last letter to be reversed.
2.	If there are more than two vowels in a word,	then the first vowel is to be coded as 1. the second vowel as 2 and so on.
3.	If a word starts with a consonant and also ends with a vowel	then vowels are to be coded after coding all the consonants.

Given Word: 'BEAUTIFUL'

Here, Rule No. 2 Applies, If there are more than two vowels in a word, then the first vowel is to be coded as 1. the second vowel as 2 and so on.

So, the code for the word BEAUTIFUL is : '% 1 2 3 @ 4 ! 5 8'

Hence, the correct answer is 'Option 2'.

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

5, 6, 10, 19, 35, 60, ?

((a))
122
((b))
96
((c))
118
((d))
106

Show Answer

Answer: ((b))

The logic followed here is:

So, 96 will complete the series.

Hence, the correct answer is 'Option 2'.

Eight people E, F, G, H, J, K, L and M are sitting around a circular table facing the centre but not necessarily in the same order. F is sitting second to the left of K. H is an immediate neighbour of K. There are only three people sitting between H and E. Only one person sits between L and E. M is sitting to the immediate right of the L. G is to the immediate left of F. What is the position of L with respect to H?

((a))
Fourth to the left
((b))
Third to the left
((c))
Second to the right
((d))
Fourth to the right

Show Answer

Answer: ((c))

Second to the right

Given: Eight people E, F, G, H, J, K, L and M are sitting around a circular table facing the centre but not necessarily in the same order.

F is sitting second to the left of K.

G is to the immediate left of F.

H is an immediate neighbour of K.

There are only three people sitting between H and E.

Only one person sits between L and E.

M is sitting to the immediate right of the L.

So, L sits second to the right of H.

Hence, the correct answer is 'Option 3'.

Read the given statements and conclusions carefully. Decide which of the given conclusions is true based on the statements.

Statements:

Z < S < E = J, J ≥ T > G = V

Conclusions:

I. V < E

II. T > Z

((a))
Only conclusion I is true
((b))
Neither conclusion I nor II is true
((c))
Either conclusion I or II is true
((d))
Only conclusion II is true

Show Answer

Answer: ((a))

Only conclusion I is true

Given statements: Z < S < E = J, J ≥ T > G = V

After combining, we get: Z < S < E = J ≥ T > G = V

Conclusions:

I. V < E → True (Z < S < E = J ≥ T > G = V it gives E > V).

II. T > Z → False (Z < S < E = J ≥ T > G = V No definite relation can be established)

So, Only conclusion I is true.

Hence, the correct answer is 'Option 1'.

S16H is related to P22K in a certain way. In the same way, M28N is related to J34Q. To which of the following is K32P related following the same logic?

((a))
G42T
((b))
D38W
((c))
H38S
((d))
F40U

Show Answer

Answer: ((c))

H38S

The position and positional value of English Alphabets are:

The logic followed here is:

(First Letter - 3 → Number + 6 →Last letter +3)

Now,

S16H is related to P22K.

M28N is related to J34Q.

Similarly,K32P will be:

So, K32P will be related to H38S.

Hence, the correct answer is 'Option 3'.

Nine persons – C, D, B, A, J, F, G, H and K – are sitting in a straight line facing north, but not necessarily in the same order. G sits second to the right of C. B sits fourth to the left of G. D is neither an immediate neighbour of K nor B. F sits fourth to the right of C and second to the left of K. K sits fifth to the right of A. Only three people sit between J and A. Who among the following sits third to the right of H?

((a))
F
((b))
D
((c))
G
((d))
C

Show Answer

Answer: ((c))

Given: Nine persons – C, D, B, A, J, F, G, H and K – are sitting in a straight line facing north, but not necessarily in the same order.

K sits fifth to the right of A.

Only three people sit between J and A.

F sits fourth to the right of C and second to the left of K.

G sits second to the right of C.

B sits fourth to the left of G.

D is neither an immediate neighbour of K nor B.

So, G sits third to the right of H.

Hence, the correct answer is 'Option 3'.

Study the given arrangement of 2-digit numbers and symbols and answer the question that follows.

(Left) 65 67 87 86 & 43 32 37 @ 27 % 29 76 71 49 $ 52 23 # (Right)

What is the sum of the 8th number from the left and the 5th number from the right end in the above series?

((a))
103
((b))
106
((c))
109
((d))
97

Show Answer

Answer: ((a))

103

Given: (Left) 65 67 87 86 & 43 32 37 @ 27 % 29 76 71 49 $ 52 23 # (Right)

8^th Number from left end = 27

5^th Number from right end = 76

Sum of 8^th Number from left and 5^th from right end = 27 + 76

= 103.

Hence, the correct answer is 'Option 1'.

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