REASONING - 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. Six persons M, N, O, P, Q and R are sitting in two rows, three in each. Q is not at the end of any row. P is second to the left of R. O is the neighbour of Q and is sitting diagonally opposite to P. N is the neighbour of R. On the basis of above information, who is facing N?
Answer : Option B
Explaination / Solution:
No Explaination.


Q4. How many pairs of letters are there in the world SERVICES each of which has as many letters between them as in the English alphabetical series?
Answer : Option A
Explaination / Solution:

Only one pair - SV

Q5.
Direction: This question is based on the five three digit numbers given below. 

134    689    564    319    404
If 2 is added to the first digit of each of the numbers how many numbers thus formed will be divisible by 3?
Answer : Option B
Explaination / Solution:

After the arrangement numbers are, 
334, 889, 764, 519, 604 
Only 519 divisible by 3, so answer is One.

Q6. 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.


Q7.
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.

Q8. Six books are labelled A, B, C, D, E and F and are placed side by side. Books B, C, E and F have green covers while others have yellow covers. Books A, B and D are new while the rest are old volumes. Books A, B and C are law reports while the rest are medical extracts. Which two books are old medical extracts and have green covers?
Answer : Option B
Explaination / Solution:
No Explaination.


Q9.
Direction: This question is based on the five three digit numbers given below. 

134    689    564    319    404
If all the digits in each of the numbers are arranged in descending order within the number, which of the following will be the highest number is the new arrangement of the numbers?
Answer : Option A
Explaination / Solution:

After the arrangement numbers are, 431, 986, 654, 931, 440

Q10.

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.