Problem Solving section 1 MCQ Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11

Out of a total of 120 musicians in a club, 5% can play all the three instruments, guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone ?

a) 44

b) 38

c) 45

d) 30

Answer: (a)

problem-solving-verbal-reasoning

a + b + c + d + e + f + g = 120

g = ${5 × 120}/{100}$ = 6

g = 6 ..(1)

c + b + e = 30 ...(2)

a = 40 ...(3)

So, a + b + c + e + d + f + g = 120 ...(4)

From (1), (2), (3) & (4)

40 + 30 + d + f + 6 = 120

d + f = 120 – 76

d + f = 44

Question : 12

Examine the following statements :

  1. George attends Music classes on Monday.
  2. He attends Mathematics classes on Wednesday.
  3. His Literature classes are not on Friday.
  4. He attends History classes on the day following the day of his Mathematics
  5. On Tuesday, he attends this Sports classes.
If he attends just one subject in a day and his Sunday is free, then he is also free on

a) Thursday

b) Saturday

c) Monday

d) Friday

Answer: (d)

Schedule of classes

SubjectDay
MusicMonday
MathsWednesday
HistoryThursday
SportsTuesday
LiteratureSaturday

Hence Friday is free.

Question : 13

In a group of six women there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to play on the violin. Shailaja and Tanuja are among the dancers. Jalaja, Vanaja, Shailaja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is certainly a dancer and a violinist ?

a) Pooja

b) Shailaja

c) Jalaja

d) Tanuja

Answer: (d)

 Profession
WomenDancersMusiciansActressViolinists
Girija   
Vanaja  
Jalaja  ×
Shailaja ×
Tanuja 
Pooja   

Question : 14

A question paper must have a question on one of the eight poets :A, B, C, D, E, F, G or H. The first four belong to the medieval period while the rest are considered modern poets. Generally, modern poets figure in the question paper in alternate years. Generally those who like H like G also; and those who like F like E also. The paper-setter does not like to ask about F as he has written a book on F, but he likes F. Last year, the paper contained a question on A. On the basis of the information given, this year's paper is most likely to contain a question on

a) E

b) F

c) C

d) H

Answer: (a)

Medieval Period Poets = A, B, C, D

Modern Period Poets = E, F, G, H

Option (c) is eliminated as it is a modern poet. Question on modern poet will come in next year.

Option (b) is eliminated as the paper-setter does not like to ask about F.

Option (a) is appropriate as the paper-setter likes F and those who like F like (E) also.

Question : 15

In five flats, one above the other, live five professionals. The professor has to go up to meet his IAS officer friend. The doctor is equally friendly to all, and has to go up as frequently as go down. The engineer has to go up to meet his MLA friend above whose flat lives the professor's friend. From the ground floor to the top floor, in what order do the five professionals live?

a) Professor, Engineer, Doctor, IAS officer, MLA

b) IAS officer, Engineer, Doctor, Professor, MLA

c) Engineer, Professor, Doctor, IAS officer, MLA

d) Professor, Engineer, Doctor, MLA, IAS officer

Answer: (d)

ProfessionalsFlats
IAS5th
MLA4th
Doctor3rd
Engineer2nd
Professor1st

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