Logical Reasoning and Analytical Ability - Online Test

Q1.

Find the number of triangles in the given figure.

Answer : Option C
Explaination / Solution:

The figure may be labelled as shown.

The simplest triangles are AML, LRK, KWD, DWJ, JXI, IYC, CYH, HTG, GOB, BOF, FNE and EMA i.e. 12 in number.

The triangles composed of two components each are AEL, KDJ, HIC and FBG i.e. 4 in number.

The triangles composed of three components each are APF, EQB, BQH, GVC, CVJ, IUD, DUL and KPA i.e. 8 in number.

The triangles composed of six components each are ASB, BSC, CSD, DSA, AKF, EBH, CGJ and IDL i.e. 8 in number.

The triangles composed of twelve components each are ADB, ABC, BCD and CDA i.e. 4 in number.

Total number of triangles in the figure = 12 + 4 + 8 + 8 + 4 = 36.


Q2.
Passage:
"The postal service is badly mismanaged. Thirty years ago, first-class letter delivery cost only three cents. Since then, the price has increased sevenfold, with an actual decrease in the speed and reliability of service."
These questions are based on the information given above and the sentences labelled A., B., C., D., E. as given below.
A. The volume of mail handled by the postal service has increased dramatically over the last thirty years.
B. Unprecedented increases in the cost of fuel for trucks and planes have put severe upward pressures on postal delivery costs.
C. Private delivery services usually charge more than does the postal service for comparable delivery services.
D. The average delivery time for a first-class letter three decades ago was actually slightly longer than it is today.
E. The average level of consumer prices overall has increased fourfold over the last thirty years.

Which of the above does NOT weaken the argument presented above:
Answer : Option E
Explaination / Solution:

Since the price of postage has increased seven times over, this suggests that postal prices have increased at a rate much quicker than inflation. Thus, choice E. suggests that there is price gouging and does support the original argument, making this the correct answer.

Q3. What is the number of triangles that can be formed whose vertices are the vertices of an octagon but have only one side common with that of octagon?
Answer : Option B
Explaination / Solution:

When the triangles are drawn in an octagon with vertices same as those of the octagon and having one side common to that of the octagon, the figure will appear as shown in (Fig. 1).

Now, we shall first consider the triangles having only one side AB common with octagon ABCDEFGH and having vertices common with the octagon (See Fig. 2).Such triangles are ABD, ABE, ABF and ABG i.e. 4 in number.

Similarly, the triangles having only one side BC common with the octagon and also having vertices common with the octagon are BCE, BCF, BCG and BCH (as shown in Fig. 3). i.e. There are 4 such triangles.

This way, we have 4 triangles for each side of the octagon. Thus, there are 8 x 4 = 32 such triangles.


Q4.
Passage:
"The postal service is badly mismanaged. Thirty years ago, first-class letter delivery cost only three cents. Since then, the price has increased sevenfold, with an actual decrease in the speed and reliability of service."
These questions are based on the information given above and the sentences labelled A., B., C., D., E. as given below.
A. The volume of mail handled by the postal service has increased dramatically over the last thirty years.
B. Unprecedented increases in the cost of fuel for trucks and planes have put severe upward pressures on postal delivery costs.
C. Private delivery services usually charge more than does the postal service for comparable delivery services.
D. The average delivery time for a first-class letter three decades ago was actually slightly longer than it is today.
E. The average level of consumer prices overall has increased fourfold over the last thirty years.

Which of the above tends to weaken the argument?
Answer : Option B
Explaination / Solution:

the conclusion here is that the postal service is poorly managed. We are looking for something that would weaken the argument, in other words, something that suggests competent management, something that excuses the post office's poor performance. Hence, A, B, C and D all provide excuses for the incompetent management.

Q5.

Find the number of triangles in the given figure.

Answer : Option A
Explaination / Solution:

The figure may be labelled as shown.

The simplest triangles are GLK, DLJ, DJM, HMN, QRE, IRA, IPA and FPO i.e. 8 in number.

The triangles having two components each are BDO, CDQ, DLM, PRA, KFI, NEI, HJI, GJI, DKI and DNI i.e. 10 in number.

The triangles having four components each are DIE, DFI, DOA, DQA andGHI i.e. 5 in number.

The triangles having six components each are DCA and DBA i.e. 2 in number.

DEF is the only triangle having eight components.

ABC is the only triangle having twelve components.

Thus, there are 8+10+ 5 + 2+1 + 1 = 27 triangles in the figure.


Q6.
"You are hereby appointed as a programmer with a probation period of one year and your performance will be reviewed at the end of the period for confirmation."
These questions are based on the information given above and the sentences labelled (A), (B), (C), (D), (E) as given below.
(A) The performance of an individual is generally not known at the time of extending an appointment offer.
(B) Generally an individual tries to prove his worth during the probation period.
(C) There is no guarantee that you will be appointed at the end of the probation period.
(D) Very often, even highly qualified candidates are not fit to work in the environment of an office and have adverse reactions to strict office regulations.
(E) The company makes every candidate go through a compulsory internship period of one year before extending an appointment offer.

Which of the above have been assumed by the company while extending the appointment offer?
Answer : Option A
Explaination / Solution:

These statements provide a reason for the company having an evaluation period for the new appointee.

Q7.

Find the number of triangles in the given figure.

Answer : Option B
Explaination / Solution:

The figure may be labelled as shown.

The simplest triangles are ADE, BDF, DEF and EFC i.e. 4 in number.

There is only one triangle ABC composed of four components.

Thus, there are 4+1 = 5 triangles in the given figure.


Q8.
"You are hereby appointed as a programmer with a probation period of one year and your performance will be reviewed at the end of the period for confirmation."
These questions are based on the information given above and the sentences labelled (A), (B), (C), (D), (E) as given below.
(A) The performance of an individual is generally not known at the time of extending an appointment offer.
(B) Generally an individual tries to prove his worth during the probation period.
(C) There is no guarantee that you will be appointed at the end of the probation period.
(D) Very often, even highly qualified candidates are not fit to work in the environment of an office and have adverse reactions to strict office regulations.
(E) The company makes every candidate go through a compulsory internship period of one year before extending an appointment offer.

Which of the above, if true would most weaken the company's insistence upon a probation period?
Answer : Option D
Explaination / Solution:

If the candidate has already been evaluated in a company setup, then there is no need for him to go through a probation period once again. Hence, Option (d) is correct.

Q9.

Find the number of triangles in the given figure.

Answer : Option D
Explaination / Solution:

The figure may be labelled as shown.

The simplest triangles are EFH, BIC, GHJ, GIJ, EKD and CKD i.e. 6 in number.

The triangles composed of two components each are ABJ, AFJ, GCK, GEK, CED arid GHI i.e. 6 in number.

The triangles composed of three components each are GCD, GED, DJB and DJF i.e. 4 in number.

The triangles composed of four components each are ABF and GCE i.e. 2 in number.

The triangles composed of five components each are ABD and AFD i.e. 2 in number.

There is only one triangle i.e. FBD composed of six components.

Total number of triangles in the figure = 6 + 6 + 4 + 2 + 2 + 1 = 21.


Q10.
" Unemployment allowance should be given to all unemployed Indian youth above 18 years of age."
These questions are based on the information given above and the sentences labelled (A), (B), (C), (D), (E) as given below.
(A) The unemployed youth in India need monetary support.
(B) The youth who are unemployed have no prospective sources of income in the near future.
(C)The government has sufficient funds to support this extra burden on its treasury.
(D) The move to provide unemployment benefits would plunge larger numbers of young people into idleness and apathy and prevent them from looking for jobs in the future.
(E) The youth needs employment benefits to prevent them from the hiring and firing policy of the corporate houses.

Which of the above statements are assumptions that are implicit in the argument presented by the author?
Answer : Option A
Explaination / Solution:

Statement B has no bearing whatsoever on the present state of unemployment of young people in the country, hence to be ruled out. Option C is presumptive and an extrapolation of what is merely a suggestion made by the author. Hence, ruled out. The rest are extensions or critiques of the argument. Only A is a valid assumption.