Data Sufficiency

Directions to SolveIn each of the questions below 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. Read both the statements andGive answer
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.

Q1: Question: How many students in a class play football ? Statements:
  1. Only boys play football.
  2. There are forty boys and thirty girls in the class.

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

E Both I and II are sufficient

Q2: Question: What is the code for 'sky' in the code language ? Statements:
  1. In the code language, 'sky is clear' is written as 'de ra fa'.
  2. In the same code language, 'make it clear' is written as 'de ga jo'.

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

E Both I and II are sufficient

Q3: Question: How many children are there in the row of children facing North ? Statements:
  1. Vishakha who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.
  2. 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

E Both I and II are sufficient

Q4: Question: What is Nitin's rank from the top in a class of forty students ? Statements:
  1. There are ten students between Nitin and Deepak.
  2. Deepak is twentieth from the top.

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

E Both I and II are sufficient

Q5: Question: What is the code for 'is' in the code language ? Statements:
  1. In the code language, 'shi tu ke' means 'pen is blue'.
  2. 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 Neither I nor II is sufficient

E Both I and II are sufficient

Q6: Question: How many children does M have ? Statements:
  1. H is the only daughter of X who is wife of M.
  2. K and J are brothers of M.

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

E Both I and II are sufficient

Q7: Question: How is F related to P? Statements:
  1. P has two sisters M and N.
  2. F's mother is sister of M's father.

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

E Both I and II are sufficient

Q8: Question: How is Sulekha related to Nandini ? Statements:
  1. Sulekha's husband is the only son of Nandini's mother.
  2. Sulekha's brother and Nandini's husband are cousins.

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

E Both I and II are sufficient

Q9: Question: How is T related to K? Statements:
  1. K has two sons; one of the sons is A.
  2. The mother of T has only two sons - Aand B.

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

E Both I and II are sufficient

Q10: Question: Among T, V, B, E and C, who is the third from the top when arranged in the descending order of their weights ? Statements:
  1. B is heavier than T and C and is less heavier than V who is not the heaviest.
  2. C is heavier than only T.

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

E Both I and II are sufficient

Q11: Question: Which direction is Sunny facing now ? Statements:
  1. If Sunny turns to his right and again turns to his right, he will be facing North.
  2. If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.

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

E Both I and II are sufficient

Q12: Question: On a T.V. channel, four serials A, B, C and D were screened, one on eacn day, on four consecutive days but not necessarily in that order. On which day was the serial C screened ? Statements:
  1. The first serial was screened on 23rd, Tuesday and was followed by serial D.
  2. Serial A was not screened on 25th and one serial was screened between serials A and B.

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

E Both I and II are sufficient

Q13: Question: Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest ? Statements:
  1. Prabhakar is heavier than Manoj and Kamal but lighter than Akash.
  2. Manoj is lighter than Prabhakar and Akash but heavier than Kamal.

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

E Both I and II are sufficient

Q14: Question: How is A related to D ? Statements:
  1. B is the brother of A.
  2. B is D's son.

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

E Both I and II are sufficient

Q15: Question: How much money do Vivek and Suman have together ? Statements:
  1. Suman has 20 rupees less than what Tarun has.
  2. Vivek has 30 rupees more than what Tarun has.

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

E Both I and II are sufficient

Q16: Question: How is Tanya related to the man in the photograph ? Statements:
  1. Man in the photograph is the only son of Tanya's grandfather.
  2. 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

E Both I and II are sufficient

Q17: Question: How is J related to P ? Statements:
  1. M is brother of P and T is sister of P.
  2. P's mother is married to J's husband who has one son and two daughters.

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

E Both I and II are sufficient

Q18: Question: What will be the total weight of 10 poles, each of the same weight ? Statements:
  1. One-fourth of the weight of each pole is 5 kg.
  2. The total weight of three poles is 20 kilograms more than the total weight of two poles.

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

E Both I and II are sufficient

Q19: Question: What is the shortest distance between Devipur and Durgapur ? Statements:
  1. Durgapur is 20 kms away from Rampur.
  2. Devipur is 15 kms away from Rampur.

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

E Both I and II are sufficient

Q20: Question: T studies in which of the schools B, C, D, E and F ? Statements:
  1. T does not study in the same school as either R or J.
  2. R and J study in schools D and F respectively.

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

E Both I and II are sufficient

Q21: Question: The last Sunday of March, 2006 fell on which date ? Statements:
  1. The first Sunday of that month fell on 5th.
  2. The last day of that month was Friday.

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

E Both I and II are sufficient

Q22: Question: Among A, B, C, D, E and F, who is the heaviest ? Statements:
  1. A and D are heavier than B, E and F but none of them is the heaviest.
  2. 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

E Both I and II are sufficient

Q23: Question: How is Divya related to Shaloo ? Statements:
  1. Divya's mother is sister of Shaloo's father.
  2. Shaloo is the daughter of Divya's grandfather's only child.

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

E Both I and II are sufficient

Q24: Question: On which date of the month was Anjali born in February 2004 ? Statements:
  1. Anjali was born on an even date of the month.
  2. Anjali's birth date was a prime number.

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

E Both I and II are sufficient

Q25: Question: Who is C's partner in a game of cards involving four players A, B, C and D ? Statements:
  1. D is sitting opposite to A.
  2. B is sitting right of A and left of D.

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

E Both I and II are sufficient

Q26: Question: How is X related to Y? Statements:
  1. Y says, "I have only one brother".
  2. X says, "I have only one 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

E Both I and II are sufficient

Q27: Question: How much was the total sale of the company ? Statements:
  1. The company sold 8000 units of product A each costing Rs. 25.
  2. This company has no other product line.

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

E Both I and II are sufficient

Q28: Question: What is Gagan's age ? Statements:
  1. Gagan, Vimal and Kunal are all of the same age.
  2. Total age of Vimal, Kunal and Anil is 32 years and Anil is as old as Vimal and Kunal together.

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

E Both I and II are sufficient

Q29: Question: In which year was Rahul born ? Statements:
  1. Rahul at present is 25 years younger to his mother.
  2. Rahul's brother, who was born in 1964, is 35 years younger to his mother.

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

E Both I and II are sufficient

Q30: Question: How is T related to K? Statements:
  1. R's sister J has married Ts brother L, who is the only son of his parents.
  2. K is the only daughter of L and J.

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

E Both I and II are sufficient

Q31: Question: Which word in the code language means 'flower' ? Statements:
  1. 'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.
  2. 'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.

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

E Both I and II are sufficient

Q32: Question: On which day in April is Gautam's birthday? Statements:
  1. Gautam was born exactly 28 years after his mother was born.
  2. 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 Neither I nor II is sufficient

E Both I and II are sufficient

Q33: Question: Who is to the immediate right of P among five persons P, Q, R, S and T facing North ? Statements:
  1. R is third to the left of Q and P is second to the right of R.
  2. Q is to the immediate left of T who is second to the right of P.

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

E Both I and II are sufficient

Q34: Question: Among A, B, C, D and E, who is in the middle while standing in a row ? Statements:
  1. C, who is third to the left of D, is to the immediate right of A and second to the left of E.
  2. 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

E Both I and II are sufficient

Q35: Question: B is the brother of A. How is A related to B ? Statements:
  1. A is the sister of C.
  2. E is the husband of A.

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

E Both I and II are sufficient

Q36: Question: Among Monika, Anita, Sonal, Ratna and Tanvy, who came last for the programme ? Statements:
  1. Monika came after Anita but not after Tanvy.
  2. Ratna came after Tanvy but not after Sonal.

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

E Both I and II are sufficient

Q37: Question: Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary ? Statements:
  1. Javed's salary is 75% that of Vinod's salary.
  2. Javed's salary is Rs 4500.

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

E Both I and II are sufficient

Q38: Question: How many doctors are practising in this town ? Statements:
  1. There is one doctor per seven hundred residents.
  2. 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

E Both I and II are sufficient

Q39: Question: On which date in August was Kapil born ? Statements:
  1. Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth.
  2. Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.

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

E Both I and II are sufficient

Q40: Question: Madan is elder than Kamal and Sharad is younger than Arvind. Who among them is the youngest ? Statements:
  1. Sharad is younger than Madan.
  2. Arvind is younger than Kamal.

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

E Both I and II are sufficient

Q41: Question: How many pages of book X did Robert read on Sunday ? Statements:
  1. The book has 300 pages out of which two-thirds were read by him before Sunday.
  2. 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 Neither I nor II is sufficient

E Both I and II are sufficient

Q42: Question: What is the code for 'or' in the code language? Statements:
  1. 'nik sa te' means 'right or wrong', 'ro da nik' means 'he is right' and 'fe te ro' means 'that is wrong'.
  2. 'pa nik la' means 'that right man', 'sa ne pa' means 'this or that' and 'ne ka re' means 'tell this there'.

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

E Both I and II are sufficient

Q43: Question: Can Ritesh retire from office X in January 2006, with full pension benefits ? Statements:
  1. Ritesh will complete 30 years of service in office X in April 2000 and desires to retire.
  2. As per office X rules, an employee has to complete minimum 30 years of service and attain age of 60. Ritesh has 3 years to complete age of 60.

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

E Both I and II are sufficient

Q44: Question: How many New Year's greeting cards were sold this year in your shop ? Statements:
  1. Last year 2935 cards were sold.
  2. The number of cards sold this year was 1.2 times that of last 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 Neither I nor II is sufficient

E Both I and II are sufficient

Q45: Question: In a certain code, '13' means 'stop smoking' and '59' means 'injurious habit'. What do '9' and '5' mean respectively in that code ? Statements:
  1. '157' means 'stop bad habit'.
  2. '839' means 'smoking is injurious'.

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

E Both I and II are sufficient

Q46: Question: On which day of the week was birthday of Sahil ? Statements:
  1. Sahil celebrated his birthday the very next day on which Arun celebrated his birthday.
  2. 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

E Both I and II are sufficient

Q47: Question: How many children are there between P and Q in a row of children ? Statements:
  1. P is fifteenth from the left in the row.
  2. Q is exactly in the middle and there are ten children towards his right.

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

E Both I and II are sufficient

Q48: Question: Who among P, Q, R, S and T is the lightest? Statements:
  1. R is heavier than Q and T but lighter than S.
  2. S is not the heaviest.

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

E Both I and II are sufficient

Q49: Question: How is X related to Y ? Statements:
  1. Y and Z are children of D who is wife of X.
  2. R's sister X is married to Ys father.

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

E Both I and II are sufficient


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