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Data Sufficiency – Solved Examples

In PO level exams, one of the important topics in Reasoning is Data Sufficiency. Here you can check some tips and problems which are asked in various exams.


  • Read all statements and analyze separately.
  • Don’t provide the answer by assumptions.
  • You don’t need to calculate the exact answer.
  • You have to give the answer like whether the given statements are Sufficient or not.


Each of the questions below consists of a question and two statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer: 

Among five friends P, Q, R, S and T each studying in a different standard, viz3rd, 4th, 5th, 6th and 8th. In which standard does R study? 
I.Q studies in a standard which is an odd number. R is Q’s senior but does not study in 8th standard.
II. Only three students are senior to P. Q is senior to P but junior to R.
III. S is not junior to T.
1.Only 1
2.Only 2
3.Only 1 and 2
4.Only 1 and 3
5.All 1, 2 and 3
Answer – 3. Only 1 and 2
Explanation :
From I, R can be in 6th or 4th
From I and II, R is in 6th 

How many pens does A has?
I.A has 12 pens less than what B has
II.C has 18 pens more than what B has
III.D has eight pens, which are forty percent less than what B has
1.Only I
2.Only II
3.Both I and II
4.Both II or III
5.Both I or III
Answer – 5. Both I or III
Explanation :
From I and III, D =8 B = 8*100/40 = 20; A = 20-12 = 8

On which day of the week did Priya arrive?
I.Her sister, Anu, correctly remembers that she did not arrive on Monday.
II.Her friend, Bala, correctly remembers that she arrived before Friday.
III.Her mother correctly mentions that she arrived before Friday but after Tuesday.
1.Only I and II
2.Only II and III
3.Only I and III
4.All I, II and III
5.Data inadequate
Answer – 5. Data inadequate
Explanation :
S M Tu W Th F Sat
She didn’t arrive on Wednesday from I
From II => before Friday mean S M TuTh
From III =>Wednesday and Thursday

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