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Reasoning Aptitude

DATA SUFFICIENCY MCQs

Total Questions : 590 | Page 53 of 59 pages
Question 521. Question : How is Divya related to Shaloo ?
Statements :
I. Divya's mother is sister of Shaloo's father.
II. Shaloo is the daughter of Divya's grandfather's only child.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option C. -> Either I or II is sufficient
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.
Question 522. Question : T studies in which of the schools B, C, D, E and 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.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option D. -> Neither I nor II is sufficient
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.
Question 523. Question : How many New Year's greeting cards were sold this year in your shop ?
Statements :
I. Last year 2935 cards were sold.
II. The number of cards sold this year was 1.2 times that of last year.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option E. -> Both I and II are sufficient
From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.
Question 524. Question : How is R related to M ?
Statements :
I. M's brother is husband of P.
II. P is mother of R's sister.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option D. -> Neither I nor II is sufficient
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.
Question 525. 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.
  1.    Any two of the three
  2.    Only I and II
  3.    Only II and III
  4.    All I, II and III
  5.    Only II and either I or III
 Discuss Question
Answer: Option E. -> Only II and either I or III
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.
Question 526. 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.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option D. -> Neither I nor II is sufficient
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.
Question 527. 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.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option A. -> I alone is sufficient while II alone is not sufficient
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.
Question 528. 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.
  1.    Only I and II
  2.    Only II and III
  3.    Only I and III
  4.    All I, II and III
  5.    None of these
 Discuss Question
Answer: Option D. -> All I, II and III
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.
Question 529. Question : What is the total monthly salary of Vasu ?
Statements :
I. Vasu's basic salary is Rs 100 more than Rajan's salary who also serves in Vasu's company.
II. Other allowances drawn by Rajan besides his basic salary are Rs 2000 per month which is Rs 50 less than Vasu's salary.
III. Rajan's basic salary is Rs 1550 per month.
  1.    Only II
  2.    Only II and III
  3.    Only I and II
  4.    Only I and III
  5.    All I, II and III
 Discuss Question
Answer: Option E. -> All I, II and III
From III, we have: Rajan's basic salary = Rs. 1550.
From I, we have: Vasu's basic salary = Rs. (1550 + 100) = Rs. 1650.
From II, we have: Rajan's other allowances = Rs. 2000 and Vasu's other allowances = Rs. 2050.
Therefore Vasu's monthly salary = Rs. (1650 + 2050) = Rs. 3700.
Question 530. Question : Four subjects - Physics, Chemistry, Mathematics and Biology - were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the Chemistry period scheduled ?
Statements :
I. Mathematics period ended at 10.00 a.m., which was preceded by Biology.
II. Physics was scheduled in the last period.
III. Mathematics period was immediately followed by Chemistry.
  1.    Only I
  2.    Either I only or II only
  3.    Only II
  4.    Only II and III
  5.    Only I and either II or III
 Discuss Question
Answer: Option E. -> Only I and either II or III
From I and II, we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period began at 11 a.m. So, the Chemistry period began at 10.00 a.m.
From I and III, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m.

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