1. Question : How many children are there in the row of children facing North ?
Statements :
I. Vishakha who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.
II. Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: Since 8th to the left of 12th from the right is 20th from the right, so from I, we know that Vishakha is 5th from left and 20th from right i.e. there are 4 children to the left and 19 to the right of Vishakha. So, there are (4 + 1 + 19) i.e. 24 children in the row.
From II, Nisha is 7th from right and 18th from left end of the row.
So, there are (6 + 1 + 17) = 24 children in the row.
2. Question : How many doctors are practising in this town ?
Statements :
I. There is one doctor per seven hundred residents.
II. There are 16 wards with each ward having as many doctors as the number of wards.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: From I, total number of doctors in town = (1/700 x N) , where N = total number of residents in town. But, the value of N is not known.
From II, total number of doctors in town
= (Number of wards in town) x (Number of doctors in each ward)
= 16 x 16 = 256.
3. Question : On which day of the week was birthday of Sahil ?
Statements :
I. Sahil celebrated his birthday the very next day on which Arun celebrated his birthday.
II. The sister of Sahil was born on the third day of the week and two days after Sahil was born.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: I does not mention the day of the week on the birthday of either Arun or Sahil.
According to II, Sahil's sister was born on Wednesday and Sahil was born two days before Wednesday i.e. on Monday.
4. Question : How many pages of book X did Robert read on Sunday ?
Statements :
I. The book has 300 pages out of which two-thirds were read by him before Sunday.
II. Robert read the last 40 pages of the book on the morning of Monday.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Both I and II are sufficient
Explanation: From I and II, we find that Robert read (300 x 2/3) i.e. 200 pages before Sunday and the last 40 pages on Monday.
This means that he read [300 - (200 + 40)] i.e. 60 pages on Sunday.
5. Question : How is Tanya related to the man in the photograph ?
Statements :
I. Man in the photograph is the only son of Tanya's grandfather.
II. The man in the photograph has no brothers or sisters and his father is Tanya's grandfather.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: From I, we conclude that the man is the only son of Tanya's grandfather i.e. he is Tanya's father or Tanya is the man's daughter.
From II, we conclude that the man's father is Tanya's grandfather. Since the man has no brothers or sisters, so he is Tanya's father or Tanya is the man's daughter.
6. Question : On which day in April is Gautam's birthday?
Statements :
I. Gautam was born exactly 28 years after his mother was born.
II. His mother will be 55 years 4 months and 5 days on August 18 this year.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Both I and II are sufficient
Explanation: 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.
7. Question : What is the code for 'is' in the code language ?
Statements :
I. In the code language, 'shi tu ke' means 'pen is blue'.
II. In the same code language, 'ke si re' means 'this is wonderful'.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Both I and II are sufficient
Explanation: In I and II, the common word is 'is' and the common code word is 'ke'. So, 'ke' is the code for 'is'.
8. Question : Among A, B, C, D and E, who is in the middle while standing in a row ?
Statements :
I. C, who is third to the left of D, is to the immediate right of A and second to the left of E.
II. C is second to the left of E, who is not at any of the ends and who is third to the right of A. D is at one of the ends.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: From each one of I and II, we get the order : A, C, B, E, D. Clearly, B is in the middle.
9. Question : Among A, B, C, D, E and F, who is the heaviest ?
Statements :
I. A and D are heavier than B, E and F but none of them is the heaviest.
II. A is heavier than D but lighter than C.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: 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.
10. Question : How is 'No' coded in the code language ?
Statements :
I. 'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne' means 'If None And But'.
II. 'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be' means 'Not None If All'.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: 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'.
11. Question : How is 'DATE' written in the code language ?
Statements :
I. DEAR is written as $#@? in that code.
II. TREAT is written as %?#@% in that code.
III. TEAR is written as %#@? in that code.
a) Only I and II
b) Only II and III
c) All I, II and III
d) Only I and either II or III
Explanation: Observing I, II and III, we find that similar letters have similar code symbols at the corresponding places in the code. So, this is direct-coding.
Thus, to find the code for DATE, we need the code for D which can be obtained from I only (i.e. $.) and the codes for A, T and E which can be obtained either from II or III (@, # and % respectively).
12. Question : In which year was Sanjay born ?
Statements :
I. Sanjay is six years older than Gopal.
II. Gopal's brother was born in 1982.
III. Sanjay's brother is two years younger than Gopal's brother who was eight years younger than Gopal.
a) Only I and II
b) Only II and III
c) Only I and III
d) All I, II and III
Explanation: From II, we know that Gopal's brother was born in 1982.
From III, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.
From I, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.
13. Question : Who among Siddhartha, Nikunj, Vipul and Mukul is the youngest?
Statements :
I. Vipul is younger than Mukul but older than Siddhartha and Nikunj.
II. Mukul is the oldest.
III. Siddhartha is older than Nikunj.
a) Only I
b) Only I and II
c) Only II and III
d) Only I and III
Explanation: From I, we have: M > V, V > S, V > N ...(i)
From II, we have: Mukul is the oldest ...(ii)
From III, we have: S > N ...(iii)
Combining (i) and (iii), we get :M > V, V >S > N or M>V > S > N. Clearly, Nikunj is the youngest.
14. Question : In a certain code, 'XYZ' means 'We are friends'. Which letter stands for 'We' ?
Statements :
I. 'PYN' means 'They are classmates'.
II. 'ZMS' means 'We love them'.
III. 'PX' means 'Hello friends'.
a) Only II
b) Only I and III
c) All I, II and III
d) None of these
Explanation: To find the code for 'we', we need to have any of the following:
(i) 'We are friends' should have only 'We' common with another statement, as in II;
(ii) 'We are friends' should have only 'are' and 'friends' common with another single or two statements, as in I and III. Thus, we need Either II only or I and III only.
15. Question : Among P, Q, R, S and T, Q is the second tallest and S is immediate taller than the shortest. Who among them is in the middle when they stand in the order of their heights ?
Statements :
I. T is not the shortest.
II. R is taller than S but shorter than Q.
III. P ranks third in height above S when all are arranged in the order of height.
a) Only I and II
b) Either II only or I and III only
c) Only II
d) Only II and III
Explanation: From the given statement, the descending order of heights is :__, Q,__, S,__.
From II, we have the order: _, Q, R, S,__. Thus, R is in the middle.
From III, we have the order : P, Q,__, S,__. But, according to I, T is not the shortest.
So, R is the shortest. Thus, we have the order : P, Q, T, S, R. So, T is in the middle.
16. Question : How many employees of Bank Z opted for VRS ?
Statements :
I. 18% of the 950 officer cadre employees and 6% of the 1100 other cadre employees opted for VRS.
II. 28% of the employees in the age-group of 51 to 56 and 17% of the employees in all other age-groups opted for VRS.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: 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.
17. Question : Among M, N, D, P and K, who earns more than only the least earner among them ?
Statements :
I. N earns more than M and P but less than only D.
II. M earns more than P who earns less than K.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: 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.
18.Question : What is Sachin's rank from the top in a class of 25 students ?
Statements :
I. Sachin ranks three ranks above Amit who ranks 18th from the bottom.
II. Sachin's rank from the top is two ranks below Deepti who ranks 23rd from the bottom
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: 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.
19. Question : It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur?
Statements :
I. Buses for Ramnagar leave after every 30 minutes, till 10 p.m.
II. Fifteen minutes ago, one bus has left for Ramnagar.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Both I and II are sufficient
Explanation: 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.
20. Question : How many girls are taller than Shravan in his class ?
Statements :
I. When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.
II. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: 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.
21. Question : In a certain code language, '297' means 'tie clip button'. Which number means 'button' in that language ?
Statements :
I. In that language, '926' means 'clip your tie'.
II. In that language, '175' means 'hole and button'.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: 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'.
22. Question : What is Sumit's position from the right end in a row of children?
Statements :
I. There are 10 children between Sumit and Rajan.
II. Rajan is twentieth from the left end of the row of children.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: 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.
23. Question : In a certain code, 'nop al ed' means They like flowers'. Which code word means 'flowers' ?
Statements :
I. 'id nim nop' means 'They are innocent'.
II. 'gob ots al' means 'We like roses'.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Both I and II are sufficient
Explanation: 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'.
24. Question : What is the code for 'mangoes' in the code language ?
Statements :
I. In that code language, 'Te Le Pa Na' means 'You eat many mangoes' and 'Le Na Da' means 'You sell mangoes'.
II. In the code language, 'Ge Na Se La Le' means 'They eat bananas and mangoes' and 'Ne De Le La' means 'Who others eat bananas'.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Both I and II are sufficient
Explanation: 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'.
25. Question : In a row of five children A, B, C, D and E, who is standing in the middle ?
Statements :
I. D is to the immediate right of E and B is to the immediate left of E.
II. B is at the extreme left of the row.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Both I and II are sufficient
Explanation: 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.
26. Question : How is R related to M ?
Statements :
I. M's brother is husband of P.
II. P is mother of R's sister.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: From II, we conclude that P is R's mother.
From I, we conclude that M is the brother or sister of P's husband, who is also R's father. Thus, R is either nephew or niece of M.
27. Question : How is M related to N ?
Statements :
I. B is the daughter of M and sister of Q.
II. N is the son of K who is B's grandfather.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: From II, we know that N is K's son and K is B's grandfather. Thus, N is the son of B's grandfather i.e. N is either father or uncle of B.
From I, B is the daughter of M. So, M is either father or mother of B.
Clearly, the correct relationship between M and N cannot be deduced.
28. Question : How many girls are taller than Shravan in his class ?
Statements :
I. When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.
II. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.
a) I alone is sufficient while II alone is not sufficient
b) II alone is sufficient while I alone is not sufficient
c) Either I or II is sufficient
d) Neither I nor II is sufficient
Explanation: 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.
29. Question : What is Suman's rank from the top in a class of forty students ?
Statements :
I. Suman is 3 ranks below Deepak from the top.
II. Deepak's rank from the bottom is 23.
III. Suman is 3 ranks above Deepak from the bottom.
a) Any two of the three
b) Only I and II
c) Only II and III
d) Only II and either I or III
Explanation: From II, we conclude that in a class of 40, Deepak ranks 23rd from the bottom i.e. 18th from the top.
From I and II, we find that Suman is 3 ranks below 18th rank from the top i.e. she ranks 21st from the top.
From II and III, we find that Suman is 3 ranks above 23rd rank from the bottom
i.e. she ranks 20th from the bottom or 21st from the top.
30. Question : Five persons - A, B, C, D and E are sitting in a row. Who is sitting in the middle?
Statements :
I. B is between E and C.
II. B is to the right of E.
III. D is between A and E.
a) Only I and II
b) Only II and III
c) Only I and III
d) All I, II and III
Explanation: From I, the order is : E, B, C or C, B, E.
From II, the order is : E, B.
From III, the order is : A, D, E.
Combining the above three, we get the order as : A, D, E, B, C. Clearly, E is sitting in the middle.