Question 1

Data Sufficiency — Nitin's rank from the top in a class of 40  Statements: I. There are ten students between Nitin and Deepak. II. Deepak is twentieth from the top. Choose the correct sufficiency option.

Accepted Answer

Apply the gap I: With a gap of 10 students, Nitin could be 10 ranks above or below Deepak. Without Deepak's rank ⇒ insufficient. II: Deepak is 20th, but Nitin's relation to Deepak is unknown ⇒ insufficient. Together: Nitin could be 10th or 30th from the top, both valid in a class of 40 ⇒ still not unique. Answer Neither I nor II is sufficient.

Question 2

Data Sufficiency — determine Sunny's current facing direction  Statements: I. If Sunny turns to his right and again turns to his right, he will be facing North. II. If Sunny walks some distance, turns left, walks again, he will face towards the left…

Accepted Answer

From Statement I Two right turns = 180° turn. If after those turns Sunny faces North, then currently he must be facing South. ⇒ sufficient. From Statement II After walking and turning left, Sunny ends up facing the direction which is to the left of Dinesh (who faces South). Left of South is East. This gives a post-turn direction, not his current facing direction ⇒ insufficient. Answer I alone is sufficient while II alone is not sufficient. (Sunny is facing South now.)

Question 3

Data Sufficiency — school assignment for T among {B, C, D, E, F}  Statements: I. T does not study in the same school as either R or J. II. R and J study in schools D and F respectively. Choose the correct sufficiency option.

Accepted Answer

Combine the information From II: R = D, J = F. From I: T ≠ R and T ≠ J ⇒ T is not in D or F ⇒ T ∈ {B, C, E}. Conclusion Three possibilities remain; neither statement alone (nor together) pinpoints a unique school. Neither I nor II is sufficient.

Question 4

Data Sufficiency — Relationships: How is Divya related to Shaloo?  Statement I: Divya's mother is the sister of Shaloo's father. Statement II: Shaloo is the daughter of Divya's grandfather's only child.  Decide which statement(s) are sufficient to d…

Accepted Answer

Given I: Divya's mother (DM) is sister of Shaloo's father (SF). II: Shaloo is the daughter of Divya's grandfather's only child. Approach Test each statement independently to see if it yields a unique relationship. Using Statement I alone DM and SF are siblings ⇒ children of siblings are cousins.Therefore, Divya and Shaloo are cousins. Statement I is sufficient. Using Statement II alone “Divya's grandfather's only child” is Divya's single parent. Shaloo is that person’s daughter ⇒ Shaloo and Divya have the same parent.Therefore, Shaloo is Divya’s sister. Statement II is sufficient. Conclusion Each statement independently gives a definite relationship (though different family setups); hence either statement alone is sufficient for the question format.

Question 5

Data Sufficiency — Sales computation: How many New Year's greeting cards were sold this year in your shop?  Statement I: Last year 2,935 cards were sold. Statement II: This year's sales were 1.2 times last year's sales.  Decide which statement(s) ar…

Accepted Answer

Why not I alone? I gives only last year’s number (2,935), not this year’s ratio ⇒ insufficient. Why not II alone? II gives a multiplier (1.2×) but no base number ⇒ insufficient. Combine I + II This year = 1.2 × 2,935 = (12/10) × 2,935 = 3522 cards. Final Answer Both statements together are sufficient (and they yield 3,522).

Question 6

Data Sufficiency — Birthday date: On which day in April is Gautam's birthday?  Statement I: Gautam was born exactly 28 years after his mother was born. Statement II: His mother will be 55 years, 4 months, and 5 days on August 18 of this year.  Decid…

Accepted Answer

From Statement II Mother's birthday = Aug 18 − 4 months − 5 days = April 13 (same calendar year).II alone gives only the mother’s April date, not Gautam’s. From Statement I Gautam is born exactly 28 years after his mother ⇒ same date of the month, 28 years later.I alone gives a relative offset but no concrete April date. Combine I + II Mother's birthday is April 13 ⇒ Gautam's birthday is also April 13 (28 years later). Final Answer Both statements together are sufficient.

Question 7

Data Sufficiency — Coding language: What is the code for the word ‘‘is’’?  Statement I: ‘‘shi tu ke’’ means ‘‘pen is blue’’. Statement II: ‘‘ke si re’’ means ‘‘this is wonderful’’ in the same code language.  Decide which statement(s) are sufficient …

Accepted Answer

Logic From I: {shi, tu, ke} ↔ {pen, is, blue}.From II: {ke, si, re} ↔ {this, is, wonderful}.Common English word: ‘‘is’’; common code token: ke. Why both? Neither I nor II alone pins ‘‘is’’ uniquely; together they do. Final Answer Both statements together are sufficient.

Question 8

Data Sufficiency — Linear arrangement: Among A, B, C, D and E standing in a single row, who is in the middle?  Statement I: C, who is third to the left of D, is to the immediate right of A and second to the left of E. Statement II: C is second to th…

Accepted Answer

Using Statement I Let positions be 1–5 (left→right). ‘‘C is 3 left of D’’ and ‘‘C is right of A’’ and ‘‘C is 2 left of E’’ give a unique order: A(1) – C(2) – B(3) – E(4) – D(5). Middle = B. Using Statement II E is 3 right of A and not at an end ⇒ A(1), E(4). ‘‘C is 2 left of E’’ ⇒ C(2). ‘‘D at an end’’ with A already at 1 ⇒ D(5). Remaining B(3). Middle = B. Conclusion Each statement alone determines the middle person.

Question 9

Data Sufficiency — Comparing weights: Among A, B, C, D, E, and F, who is the heaviest?  Statement I: A and D are heavier than B, E, and F, but neither A nor D is the heaviest. Statement II: A is heavier than D but lighter than C.  Decide which state…

Accepted Answer

From Statement I A, D > (B, E, F), and neither A nor D is the heaviest ⇒ the only remaining candidate is C. Sufficient. From Statement II C > A > D, but nothing about B, E, F relative to C ⇒ not sufficient. Final Answer Statement I alone is sufficient.

Question 10

Question: How is 'No' coded in the code language? Statements: 'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne' means 'If None And But'. 'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be' means 'Not None If All'.

Accepted Answer

In the two statements given in I, the common words are 'But', 'None', 'And' and the common code words are 'Ne', 'Pa', ,'Lo'. So, 'Ne', 'Pa' and 'Lo' are codes for 'But', 'None' and 'And'. Thus, in the first statement, 'Sic' is the code for 'No'.

Question 11

Question: Who among P, Q, T, V and M is exactly in the middle when they are arranged in ascending order of their heights? Statements: V is taller than Q but shorter than M. T is taller than Q and M but shorter than P.

Accepted Answer

From I, we have: M > V > Q. From II, we have: T > Q, T > M, P > T. Combining the above two, we have: P>T>M>V>Q i.e. Q < p=""><> Clearly, M is in the middle.

Question 12

Question: Which code word stands for 'good' in the coded sentence 'sin co bye' which means 'He is good'? Statements: In the same code language, 'co mot det' means 'They are good'. In the same code language, 'sin mic bye' means 'He is honest'.

Accepted Answer

In the given statement and I, the common word is 'good' and the common code word is 'co'. So, 'co' is the code for 'good'. In the given statement and II, the common words are 'He' and 'is' and the common code words are 'sin' and 'bye'. So 'sin' and 'bye' are the codes for 'He' and 'is'. Thus, in the given statement, 'co' is the code for 'good'.

Question 13

Question: What is the numerical code for 'water' in a certain code? Statements: The code for 'give me water' is '719'. The code for 'you can bring water for me' is written as '574186'.

Accepted Answer

In I and II, the common words are 'me' and 'water' and the common code numbers are '7' and '1'. So, the code for 'water' is either '7' or '1'.

Question 14

Question: How many visitors saw the exhibition yesterday? Statements: Each entry pass holder can take up to three persons with him/her. In all, 243 passes were sold yesterday.

Accepted Answer

From I and II, we find that maximum (243 x 3) i.e. 729 visitors saw the exhibition. But the exact number cannot be determined.

Question 15

Question: Gaurav ranks eighteenth from the top in a class. What is his rank from the last? Statements: There are 47 students in the class. Jatin who ranks 10th in the same class, ranks 38th from the last.

Accepted Answer

From I, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last. From II, we conclude that there are 9 students above and 37 students below Jatin in rank. Thus, there are (9 + 1 + 37) = 47 students in the class. So, Gaurav who ranks 18th from the top, is 30th from the last.

Question 16

Question: What is the rank of P from the bottom in a class of 30 students? Statements: M is third from the top and there are five students between M and P. The rank of K is fourth from the bottom and there are 17 students between K and P.

Accepted Answer

From I, we conclude that P is 9th from the top. Thus, in a class of 30 students, P ranks 22nd from the bottom. From II, we conclude that P is 22nd from the bottom.

Question 17

Question: In a row of five buildings - P, Q, R, S and T, which building is in the middle? Statements: Buildings S and Q are at the two extreme ends of the row. Building ,T is to the right of building R.

Accepted Answer

From I, we have the order : S, -, -, -, Q. From II, we have the order : R, T. Combining the above two, we get two possible orders : S, R, T, P, Q or S, P, R, T, Q. Thus, either T or R is in the middle.

Question 18

Question: How many speeches were delivered in the two days' programme? Statements: 18 speakers were invited to give at least one speech (maximum of two speech), out of which one-sixth of the speakers could not come. One-third of the speakers gave tw…

Accepted Answer

From I, we find that number of speakers who attended programme =18-(1/6) of 18 = 15. From II, we find that one-third of 15 i.e. 5 speakers gave 2 speeches each, while each of the remaining 10 speakers delivered only one speech. So, total number of speeches delivered = (5 x 2 + 10 x 1) = 20.

Question 19

Question: Among five friends, who is the tallest? Statements: D is taller than A and C. B is shorter than E but taller than D.

Accepted Answer

From I, we have: D > A, D > C. From II, we have: E > B > D. Combining the above two, we get :E > B > D > A > C or E > B > D >C > A. Thus, E is the tallest.

Question 20

Question: What time did the train leave today? Statements: The train normally leaves on time. The scheduled departure is at 14 : 30.

Accepted Answer

Clearly, even both I and II together do not reveal the exact time of departure of the train today.

Data Sufficiency Questions