Data Sufficiency — Part 2 MCQs with Explanations

Since there are ten students between Nitin and Deepak, so Nitin may be eleven ranks above or below Deepak. Thus, Nitin may be 9th or 31st from the top.

From I, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice. From II, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left. Thus, Sunny is facing South.

As given in I and II, R studies in school D and J studies in school F. So, T does not study in school D or school F. Thus, T studies in any one of the schools B, C or E.

From I, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin. Now, Divya's grandfather's only child is Divya's parent. So, from II, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.

From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.

Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I.

In I and II, the common word is 'is' and the common code word is 'ke'. So, 'ke' is the code for 'is'.

From each one of I and II, we get the order : A, C, B, E, D. Clearly, B is in the middle.

From I, we conclude that since none of A and D is the heaviest and each one of B, E and F is lighter than both A and D, so C is the heaviest.

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'.

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 Clearly, M is in the middle.

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'.

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'.

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.

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.

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.

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.

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.

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.

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

In I and II, the common codes are '5', '#' and '3' and the common words are 'flowers', 'are' and 'good'. Thus, in I, the remaining code '$' stands for 'really'.

From both I and II together, we can conclude that A and B are the children of D, but the sex of A and the third child of D is not known. So, both I and II together are also not sufficient to answer the question.

From I, we conclude that P is the mother of M and N, while Q is the daughter-in-law of P and sister-in-law of N. Thus, Q is M's wife and hence, M is N's brother. From II, we conclude that M and N are the children of S. Also, R is the daughter-in-law of S and sister-in-law of M. So, R is N's wife and thus, N is M's brother. Hence, M is either brother or sister of N.

The colour of fresh grass is 'green' and as given in II, 'green' is called 'brown'. So, the colour of fresh grass is 'brown'.

From I and II, we conclude that Aman went to office by either 10.30 a.m. or 10.35 a.m. train.

According to I, Hitesh visited the zoo on any of the week days except Tuesday and Thursday. According to II, Hitesh's mother reached his house day after Monday i.e. on Tuesday. Thus, Hitesh visited zoo two days before Tuesday i.e. on Sunday.

From I, we can conclude that the Chairman visited Purchase department on Monday of the first week of September. The time of visit of no department is mentioned in II, which is, therefore, insufficient.

In I and II, the common codes are 'nip' and 'sre' and the common words are 'is' and 'beautiful' So, 'nip' and 'sre' are the codes for 'is' and 'beautiful'. But, the exact word for 'nip' cannot be found out.

From both I and II, we find that: Prashant's salary = 115% of (90% of Rs 2500) = Rs 2587.50.

From II, we can conclude that (1500 * 3) = 500 boxes were sold on Sunday. Thus, from I, we find that number of boxes sold on Monday = 500 + 10% of 500 = 550.

In given statement and I, the common words are 'tie' and 'clip' and the common codes are '2' and '9'. So, '2' and '9' are the codes for 'tie' and 'clip'. Thus, in the given statement, '7' means 'button'. In given statement and II, the common code word '7' represents the common word 'button'.

Clearly, neither the number of children in the row is given nor the position of Sumit relative to Rajan is mentioned in any one of I or II.

In the given statement and I, the common word is 'They' and the common code word is 'nop'. So, 'nop' is the code for 'They'. In the given statement and II, the common word is 'like' and the common code word is 'al'. So, 'al' is the code for 'like'. Thus, in the given statement, 'ed' is the code for 'flowers'.

In 'You eat many mangoes' and 'Who others eat bananas', the common word is 'eat' and the common code word is 'Le'. So, 'Le' means 'eat'. In 'You eat many mangoes' and 'They eat bananas and mangoes', the common code word 'Le' stands for 'eat'. So, the other common code word 'Na' stands for the other common word i.e. 'mangoes'.

From I, we have the order: B, E, D. From II, B is at the extreme left of the row. Thus, considering both I and II, we conclude that among the five children, D is the third and hence the middle child in the row.

From I, we have: number of employees who opted for VRS = 18% of 950 + 6% of 1100 = 171 + 66 = 237. From II, we cannot get the required answer until and unless the number of employees in age-group 51 to 56 and other age-groups is known.

From I, we have: N > M, N > P, D > N. Thus, we have: D > N > M > P or D>N> P>M. But, from II, M earns more than P i.e. D > N > M > P. Also, since P earns less than K and N earns less than only D, so we have: D>N>K>M>P or D>N>M> K > P. Hence, either K or M earns more than only the least earner i.e. P.

From I, We know that in a class of 25 students, Amit ranks 18th from the bottom and 8th from the top. Sachin is three ranks above Amit and so, Sachin ranks 5th from the top. From II, Deepti ranks 23rd from the bottom and hence, 3rd from the top. Sachin, being 2 ranks below Deepti, is, thus, 5th from the top.

II reveals that the previous bus had left at 7.45 p.m. As given in I, the next bus would leave after 30 minutes i.e. at 8.15 p.m.

From I, we conclude that there are 16 students and 11 boys taller than Shravan. This implies that there are 5 girls taller than Shravan. In II, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.