Data for Questions 1 & 2 : Amir, Bikram, Charlie, David, Emraan, Fahim and Gaurav are seven students in a class. They are sitting on three benches— Mahogany, Oak and Maple in such a way that there is at least two of them on each bench and there is at least one girl on each bench. Charlie, a girl student, does not sit with Amir, Emraan and David. Fahim, a boy student, sits only with Bikram. Amir sits with his best friendon bench Mahogany. Gaurav sits on bench Maple. Emraan is the brother of Charlie.
1. How many girl students are there?
a) 3
b) 4
c) 3 or 4
d) None of these
Explanation: We have been given that Amir and Gaurav sit on benches Mahogany and Maple. Now since Fahim is a boy and sits with only Bikram, this implies that Bikram is a female. (This conclusion was made onthe grounds that there is at least one girl on each bench). Fahim and Bikram sit on the Oak bench.
On the basis of above information we get:
Now since Charlie is a girl student and she does not sit with Amir, Emraan and David, it implies that Charlie sits on Maple bench because on Oak bench only two persons can be seated. By elimination of clues, Emraan and David sit on Mahogany bench. Now see the clue, “Amir sits with his friend” this means that Amir is male. Again Emraan is the brother of Charlie implies that Emraan is a male. By elimination David is a female. But sex of Gaurav is still unknown.
Thus the information obtained above can be summarised as follows:
David, Bikram and Charlie are girls. Possibility of fourth girl still exists because sex of Gaurav is unknown. Hence Option (c) is the correct answer
2. Which of the following is a group of girls?
a)Bikram, Amir and Charlie
b) Bikram, Fahim and Charlie
c) Charlie, David and Fahim
d) Bikram, Charlie and David
Explanation: Option (d) is the correct answer (Refer explanation of Question 1)
Data for Questions 3 to 5 :
Geetika, Deep, Niharika, Shwetabh, Akansha, Aishwarya and Aparajita are travelling in three vehicles. There are at least two passengers in each vehicle—Maruti, Santro and Octavia and only one of them is a male. There are two engineers, two doctors and three teachers among them.
(i) Niharika is a lady doctor and she does not travel with the pair of sister, Geetika and Aishwarya.
(ii) Deep, a male engineer, travels with only Aparajita, a teacher in a Maruti.
(iii) Shwetabh is a male doctor.
(iv) Two persons belonging to the same profession do not travel in the same vehicle.
(v) Geetika is not an engineer and travels in vehicle Santro.
3.What is Aishwarya’s profession?
a) Engineer
b) Teacher
c) Doctor
d) Data inadequate
Explanation: If there are at least two passengers in each vehicle and one of them is a male then, in the group there are at least three males. Among them Niharika is a female and she is a doctor. Geetika and Aishwarya are also females. From the second clue we get Aparajita is a teacher. Deep is a male and he is an engineer. He travels with only Aparajita, which means Aparajita is a female. And both of them travel in Maruti. From the third clue Shwetabh is a male and he is a doctor. From fifth clue Geetika is not an engineer and she cannot be a doctor because there can be only two doctors (Niharika and Shwetabh). Hence, Geetika is a teacher and she travels in Santro. So there are four females Niharika, Geetika,Aishwarya and Aparajita. Hence the remaining persons will be male because in each vehicle there has to be at least one male. Hence Akansha is a male and Shwetabh and Akansha will occupy seats in two different cars (Santro and Octavia) because in Maruti, Deep travels only with Aparajita. Again Niharika can travel neither with Shwetabh nor with Geetika and Aishwarya. Thus we have the final arrangement as follows:
Option (a) is the correct answer.
4. In which vehicle does Niharika travel?
a) Maruti
b) Santro
c) Octavia
d) Santro or Octavia
Explanation: Option (c) is the correct answer. (Refer explanation of Question 3)
5.Which of the following represents the three teachers?
a) Aparajita, Akansha and Aishwarya
b) Aparajita, Akansha and Geetika
c) Aparajita, Akansha and Aishwarya or Aparajita, Akansha and Geetika
d) Data inadequate
Explanation: Option (b) is the correct answer. (Refer explanation of Question 3)
Data for Questions 6 & 7 :
I. G, H, I, J, K, L, M and N are eight students in a class. Three of them play cricket and badminton each and two of them play hockey. Each one of them has a different height.
II. The tallest does not play hockey and the shortest does not play cricket.
III. L is taller than G and J but shorter than N and H. K, who does not play cricket, is taller than Hand is second to the tallest. M is shorter than J but taller than G.
IV. N, who is the fourth from the top, plays badminton with J.
V. M does not play either cricket or hockey. H does not play hockey.
6. Which of the following pairs of students plays hockey?
a) K & L
b) N & K
c) N & L
d) None of these
Explanation: From the clues given we can directly arrange the persons according to their heights.
I>K>H>N>L>J>M>G
Now let us arrange the persons to their games that they play.
Option (d) is the correct answer
7. What is L’s position from the top when they are arranged in descending order of their height?
a) Third
b) Fifth
c) Fourth
d) None of these
Explanation: Option (b) is the correct answer (Refer explanation of Question 6)
Data for Questions 8 & 9 : Bali, Chinkara, Dabang, Fateh, Giri, Himesh and Jeev are seven students studying in three colleges IIM A, IIM B and IIM R. There are three boys and four girls. There are at least one boy and one girin each college. Three of them are in HR discipline and two each in Finance and Marketing. Bali andher sister Giri are in Marketing but in different colleges. Fateh studies Finance in college IIM B andhe does not study with either Jeev or Chinkara. Dabang is not in HR and he studies in college IIM Ronly with Bali. All the three from HR do not study in the same college. Himesh studies in the same college with her friend Giri.
8. In which college do only HR students study?
a) None
b) IIM B
c) IIM R
d) IIM A
Explanation: We have been given that Bali and Giri are in Marketing, Fateh in Finance and Dabang isnot in HR. This means that Dabang is in Finance. By the process of elimination, remaining Chinkara, Jeev and Himesh are in HR
Now to arrange students with their respective colleges is the next task. We have been given Dabang who is a male student studies in IIM R only with Bali. This means that in IIM R only two students study and Bali is a female since at least one boy and one girl study in a college. Now we have beengiven Fateh who is a male student studies in IIM B but not with either Jeev or Chinkara. This meansthat Jeev and Chinkara study at IIM A. Also we have been given that Bali’s sister Giri and Himesh,who is a female, study in the same college. This college cannot be IIM A because then there will be only a single student in IIM B. Hence Himesh and Giri study at IIM B. Still we do not know about thesex of Jeev and Chinkara.
The students who study HR are Chinkara, Jeev and Himesh. Among the three Chinkara and Jeev study at IIM A. Hence Option (d) is the correct answer.
9. If Chinkara and Bali interchange their colleges satisfying all other conditions, which of the
following will definitely represent the girls?
a) Bali, Chinkara, Himesh and Dabang
b) Bali, Chinkara, Himesh and Giri
c) Bali, Fateh, Himesh and Giri
d) Dabang, Chinkara, Himesh and Fateh
Explanation: If Chinkara and Bali interchange their colleges satisfying all other conditions it implies that Chinkara is a female and Jeev is a male. Thus the group consists of Chinkara, Bali, Giri andHimesh. Hence Option (b) is the correct answer.
10. Seven specialist persons Bebe, Meme, Keke, Pepe, Dede, Fefe and Hehe visit an office on four days— Tuesday, Wednesday, Friday and Saturday, in a week. At least one person but not more than two persons visit the office on each of these days. Each of them is a specialist in different fields—Paramedic, Business, Engineering, Genetics, Biometrics, Defense and Biotech.
(i) Pepe visits on Friday with a specialist in Defence.
(ii) The Engineer does not visit on Saturday nor with Dede and Hehe.
(iii) The Biotech specialist Fefe visits alone on Tuesday.
(iv) Meme visits on Wednesday and he is not engineer.
(v) Keke visits on Wednesday. Hehe is not a specialist in Defence.
(vi) The engineer visits with the paramedic specialist.
(vii) The genetics specialist visits on Friday.
(viii) Bebe is neither Business specialist nor a specialist in Defence.
What is the speciality of Bebe?
a) Biometrics
b) Paramedics
c) Engineer
d) Data inadequate
Explanation: To solve this set one must be able to analyse all the possibilities given in the clues to derive conclusive data arranged in an appropriate manner according to the given conditions.
Let us solve the problem. From clue one we get that the two persons who visit on Friday are Pepe and the person who visits with Pepe is a Defence specialist. Now from clue three Fefe is a Biotech specialist and he visits alone on Tuesday. Also from clue seven we get that the specialist in Genetics visits on Friday. This means that Pepe is a Specialist in genetics.
Moving onto clues four and five we get that Meme and Keke visit on Wednesday and from clue six the engineer visits with Paramedics . Thus they visit either on a Wednesday or on a Saturday. Again, from clue two the engineer does not visit on Saturday. Thus, engineer and paramedics visit on Wednesday. Now using clue four we get that Meme is Paramedics and Keke is the engineer. Again from clue five we get that Hehe is not a defence specialist and Hehe does not visit on Friday. Hence Hehe visits on Saturdays. Similarly from clue eight we get that Bebe also visits on Saturday.
The only person left to analyse is Dede who is the specialist in defence. Also since Bebe is not a businessman, Hehe is a businessman and Bebe is a specialist in Biometrics
Option (a) is the correct answer.