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MCQ: Data Sufficiency- 3 - SSC CGL MCQ


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15 Questions MCQ Test - MCQ: Data Sufficiency- 3

MCQ: Data Sufficiency- 3 for SSC CGL 2024 is part of SSC CGL preparation. The MCQ: Data Sufficiency- 3 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Data Sufficiency- 3 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Data Sufficiency- 3 below.
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MCQ: Data Sufficiency- 3 - Question 1

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Madhavi joined the office on which date?
Statement I:
Madhavi’s daughter correctly remembers that Madhavi joined the office after 4th November but before 10th November.
Statement II: Madhavi’s husband correctly remembers that Madhavi joined the office after 7th November but before 12th November.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 1

From Statement I:

From this statement, we get that Madhavi joined the office on 5th, 6th, 7th, 8th or 9th November.

Clearly, data in statement I alone is not sufficient to answer the question.

From Statement II:

From this statement, we get that Madhavi joined the office on 8th, 9th, 10th or 11th November.

Clearly, data in statement II alone is not sufficient to answer the question.

Checking both Statement, I and II together:

We can say that Madhavi joined the office either on 8th or 9th November.

Clearly, data in both the statements I and II together is not sufficient to answer question.

Hence, option D is the correct answer.

MCQ: Data Sufficiency- 3 - Question 2

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Eight people E, F, G, H, I, J, K and L were born on different dates 16th and 27th of different months i.e. January, April, May, and September of the same year. J is the second oldest among all. K was born in May. How many people were born between L and G?
Statement I:
Only 3 persons were born between I and H such that both of them were born in a month having even number of days. L was born just after F, who was born on an odd date in May. Only 2 persons were born between I and E.
Statement II: Only 2 persons were born between K and H. E is elder than L, who is younger than I. As many persons were born before G is same as after F, who is not born in April nor born on even date.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 2

From Statement I: From this statement, we get the following table,


So, we get that 3 persons are born between L and G.

Clearly, data in statement I alone is sufficient to answer the question.

From Statement I: From this statement, we get the following table,


Clearly, data in statement II alone is not sufficient to answer the question as in both cases, two different answers are there. So we can't exactly say which case is correct as per statement II.

Hence, option A is the correct answer.

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MCQ: Data Sufficiency- 3 - Question 3

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

What is the code for ‘Corporate’?

Statement I: 'Check is Mandatory' is written as '@wt ^yi *nr' and 'Corporate is expensive' is written as '$bl (ux *nr’.
Statement II: ‘Corporate Check Shipping' is written as '^yi (ux #jc' and 'Check praise expensive’ is written as '%hr ^yi $bl'.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 3

From Statement I:

'Check is Mandatory' is written as '@wt ^yi *nr' and 'Corporate is expensive' is written as '$bl (ux *nr’.

Hence, Statement 1 alone is not sufficient to answer the question.

From Statement II:

‘Corporate Check Shipping' is written as '^yi (ux #jc' and 'Check praise expensive’ is written as '%hr ^yi $bl'.

Hence, Statement 2 alone is not sufficient to answer the question.

Checking both Statement, I and II together:

Clearly ‘is’ is repeated in statement 1 ('Check is Mandatory' is written as ‘@wt ^yi *nr’ and 'Corporate is expensive' is written as ‘$bl (ux *nr’) and statement 2 ('Check praise expensive’ is written as '%hr ^yi $bl’).

Thus, code for ‘Corporate’ is ‘(ux’.

Clearly, Statement I and Statement II together are necessary to answer the question.

Hence, option D is the correct answer.

MCQ: Data Sufficiency- 3 - Question 4

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Eight persons A, B, C, D, U, V, W, and X are sitting in two parallel rows. A, B, C, and D are sitting in row-1 facing south direction and U, V, W, and X, are sitting in row-2 facing north direction in such a way that each person sitting in row-1 faces the person sitting in row-2. Who among the following faces the one who sits just right of X?
Statement I:
Only one person sits between U and W who is sitting at the extreme right end of the row. B sits second to the left of A. C faces the one who is an immediate neighbour of U. V faces D.
Statement II: A sits 2nd from one end and faces the U. B does not face the one who is the neigbour of X. D and V does not sit at ends of the rows.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 4

From Statement I: From this statement, we get the following arrangement:

Clearly, Statement I alone is not sufficient to answer the question.
From Statement II: From this statement, we get the following arrangement:

Clearly, Statement II alone is not sufficient to answer the question.
Checking both Statement, I and II together:

So, by combining both the statements, we can say A faces U, who sits just right of X.
Clearly, Statement I and Statement II together are necessary to answer the question.
Hence, option E is the correct answer.

MCQ: Data Sufficiency- 3 - Question 5

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

How is ‘HEALTHY’ written in that code language?
Statement I:
In a certain code language, EATING is written as HDRLLE.
Statement II: In a certain code language, REPLACE is written as PHNJDAH.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 5

From Statement I: From this statement, we get the following inference:

All the vowels are coded as 3rd next letter as per English alphabetical series and the consonants are coded as 2nd previous letter as per English alphabetical series.

So, the code of ‘HEALTHY’ is ‘FHDJRFW’.

Clearly, Statement I alone is sufficient to answer the question.

From Statement II: From this statement, we get the following inference:

All the vowels are coded as 3rd next letter as per English alphabetical series and the consonants are coded as 2nd previous letter as per English alphabetical series.

So, the code of ‘HEALTHY’ is ‘FHDJRFW’.

Clearly, Statement II alone is sufficient to answer the question.

Therefore, the question can be answered using either statement I alone or statement II alone.

Hence, option C is the correct answer.

MCQ: Data Sufficiency- 3 - Question 6

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Which direction is Tanya facing?
Statement I: I
f Manas who is currently facing southwest (at 45° angle), turns 135° anticlockwise, he would face the same direction as Tanya.
Statement II:  If Dinesh who is currently facing northeast (at 45° angle) turns 90° clockwise, he would face the direction 180° to the direction Tanya is facing.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 6

From Statement I: From this statement, we get the following inference:


As per the figure, Manas who is facing southwest, turns 135° anticlockwise. Thus, he will be facing East.

It is given that he would face the same direction as Tanya. Hence, Tanya will also be facing East.

Clearly, Statement I alone is sufficient to answer the question.

From Statement II: From this statement, we get the following inference:


As per the figure, Dinesh who is facing northeast, turns 90° clockwise. Thus, he will be facing southeast. Also, southeast is 180° to the direction of Tanya. Hence, Tanya will be facing northwest.

Clearly, Statement II alone is sufficient to answer the question.

Therefore, the question can be answered using both statement I alone or statement II alone.

Hence, option C is the correct answer.

MCQ: Data Sufficiency- 3 - Question 7

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Find the exact middle letter of the 5-letter meaningful word?
Statement I: The first and fourth letter of the word is ‘C’. The second letter of the word is a vowel. The word ends with a consonant that appears before M as per English alphabetical series.
Statement II:
Only one vowel is used, which comes before G as per English alphabetical series. Only one letter is placed between T and H.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 7

From Statement I: From this statement, we get the following inference:

C A _  C _

C E _ C _

C I _ C _

C O _ C _

C U _ C _

Clearly, Statement I alone is not sufficient to answer the question.

From Statement II: From this statement, we get the following inference:

We understand that only one letter is between T and H and either A or E is the only vowel used in the word but we cannot form the whole word.

Clearly, Statement II alone is not sufficient to answer the question.

Checking both Statement, I and II together:

C A T C H     C A H C T        C E T C H       C E H C T

Here, only ‘CATCH’ is the meaningful word that can be formed.

Hence, option E is the correct answer.

MCQ: Data Sufficiency- 3 - Question 8

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Six persons – I, J, K, L, M, and N have visited different countries – U, V, W, X, Y, and Z and are sitting around a triangular table facing the center, one person on each corner and one person on each side. Who sits 3rd to the left of the one who visited W?
Statement I:
K, who visited Y sits 2nd to the right of J. Two persons sits between I and the one who visited U. L visited Z and sits on the corner, just to the right of the one who visited X. M sits immediate left of K. The one who visited W sits at a corner.
Statement II: The one who visited Z, sits just right of I at a corner. Two persons sit between J and N, who visited W. M visited U and sits just left of K who visited Y.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 8

From Statement I: From this statement, we get the following diagram


Clearly, Statement I alone is not sufficient to answer the question.

From Statement II: From this statement, we get following diagram


Clearly, Statement II alone is not sufficient to answer the question.

Checking both Statement, I and II together:

Here, on merging both the statements we get the following diagram,


So, by combining both the statements, we can say J sits 3rd to the left of N, who visited W..

Clearly, Statement I and Statement II together are necessary to answer the question.

Hence, option E is the correct answer.
 

MCQ: Data Sufficiency- 3 - Question 9

Eight friends- P, Q, R, S, T, U, V and W are sitting around a circular table but not necessarily in the same order. All of them are facing the center. Who is facing V?

Statement I: V is sitting to the immediate left of W. R is sitting 2nd to the left of S.
Statement II: Q is sitting 2nd to the left of T. T is facing P. The number of friends sitting between P and Q is same as the number of friends sitting between P and W.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 9

From statement I alone, we don’t get the answer.

From statement II alone, Q is sitting 2nd to the left of T. T is facing P. The number of friends sitting between P and Q is same as the number of friends sitting between P and W.


From statement II alone, we don’t get the answer.

Combining both statement I and II, we get,


From statements I and II together, we don’t get the answer.

Hence, option ‘D’ is correct.

MCQ: Data Sufficiency- 3 - Question 10

Seven persons from T to Z are sitting in a linear row facing towards north. Who is sitting at the right end?

Statement I : Y is second to the left of W, who is on the immediate right of Z. X is third to the left of T, who is an immediate neighbor of Y.
Statement II : Z is on the immediate right of Y and doesn't sit at extreme end. U, who does not sit at an extreme end is third to the left of Y. T is third to the left of W.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 10

Checking Statement I:

Using the above references, we get the following arrangement:


Clearly, W is sitting at the right end.

Hence data in statement I is sufficient to answer the question.

Checking Statement II:

Using the above references, we get the following different arrangement:


Thus we cannot find the final conclusion.

Hence data in statement II is not sufficient to answer the question.

Hence, Option A is correct.
 

MCQ: Data Sufficiency- 3 - Question 11

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

In which direction is Library with respect to the college?
I.  Point A is 3km North of Library. Point C is 3km North of point B. Point D is 3km East of point C.
II.  College is 7km North of point F. Point D is 6km North of point E. Library is 7km west of point E. Point F is 4km East of point E.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 11

Checking → statement I:

References:

Point A is 3km north of library.

Point C is 3km North of Point B.

Point D is 3km East of point C.

Inferences:

From the above references, we can conclude that instruction about college is missing in statement I.

So, we can’t determine the direction between library and college.

Thus, statement I alone is not sufficient to answer the question

Checking → Statement II:

References:

College is 7km North of point F.

Point D is 6km North of point E.

Library is 7km west of point E.

Point F is 4km East of point E.

Inferences:

From the above references, we can conclude the following.


We can conclude that library is to the South West direction with respect to college.

Thus, statement II alone is sufficient to answer the question.

Hence, option B is correct.

MCQ: Data Sufficiency- 3 - Question 12

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Nine persons P, Q, R, S, T, U, V, W, and X belongs to a family of three generation where only married couples have children.
How is X related to S?

I. P is married to U. V is married to R. Q is the husband of W. S is the daughter-in-law of W.
II. V is the father of Q. U is the mother-in-law of Q. T is the sibling of X. T is unmarried.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 12

Checking → statement I:

References:

P is married to U.

V is married to R.

Q is the husband of W.

S is the daughter-in-law of W.

Inferences:

From the above references, we can conclude the following:


So, we can’t conclude the relation between X and S.

Thus, statement I alone is not sufficient to answer the question.

Checking → statement II

References:

V is the father of Q.

U is the mother-in-law of Q.

T is the sibling of X.

T is unmarried.

Inferences:

From the above reference, we can conclude the following:


So, we can’t conclude the relation between X and S.

Thus, statement II alone is not sufficient to answer the question.

Checking → statement I and II:

References:

P is married to U.

V is married to R.

Q is the husband of W.

S is the daughter-in-law of W.

V is the father of Q.

U is the mother-in-law of Q.

T is the sibling of X.

T is unmarried.

Inferences:

From the above references, we can conclude the following:


So, we can conclude that X is the husband of S.

Thus, statement I and II together is sufficient to answer the question.

Hence, option D is correct.

MCQ: Data Sufficiency- 3 - Question 13

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

What is rank of Rhea from bottom in a class of 30 students?
Statement I:
Harshita is 22nd from the top and ranks 13 below Akansha, whose rank is 5 above Rhea.
Statement II: Yamini is 19th from the bottom. 13 persons are between Yamini and Rhea.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 13

From Statement I:

From this statement, we get the following ranking.

Person in the row = 8 persons + Akansha + 4 persons + Rhea + 7 persons + Harshita + 8 persons

So, we get that Rhea is 17th from the bottom in the class.

Clearly, Statement I alone is sufficient to answer the question.

From Statement II:

From this statement, we get the following ranking.

Person in the row = 11 persons + Yamini + 13 persons + Rhea + 4 persons

So, we get that Rhea is 5th from the bottom in the class.

Clearly, Statement II alone is sufficient to answer the question.

Clearly, Either Statement I or Statement II alone is sufficient to answer the question.

Hence, option C is the correct answer.

MCQ: Data Sufficiency- 3 - Question 14

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Six persons from U to Z sit around a circular table facing towards the center. What is the position of X with respect to Y?
Statement I:
U faces X, who is second to the right of W. 2 persons sit between Z and Y, who is an immediate neighbour of V.
Statement II:  X and W are not immediate neighbours. Y faces Z, who is 2nd to the left V. U is a neighbour of W.

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 14

From Statement I: From this statement, we get the following arrangement:


So, we get that X is 2nd to the left of Y.

Clearly, Statement I alone is sufficient to answer the question.

From Statement II: From this statement, we get the following arrangement:


In both cases, we get X is 2nd to the left of Y.

Clearly, Statement II alone is sufficient to answer the question.

Hence, option C is the correct answer.

MCQ: Data Sufficiency- 3 - Question 15

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Among six boxes – S, T, U, V W, and X were placed from top to bottom in rack where the bottom-most rack is numbered 1. Which box is placed on the 3rd from the bottom?
Statement I:
S is placed 3 boxes above V. One box is placed between U and W, which is placed in even rack. As many boxes are above U is below T, which is not placed in the bottom rack.
Statement II: As many boxes are placed above W is same as below X. U is placed immediately above T and immediately below S.
 

Detailed Solution for MCQ: Data Sufficiency- 3 - Question 15

From Statement I:  From this statement, we have three possible scenarios as shown:


Clearly, Statement I alone is insufficient to answer the question.

From Statement II:

From this statement, we get the following table


Clearly, Statement II alone is not sufficient to answer the question.

Now combining both the statements, we get,


Hence, option D is the correct answer.

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