[Download PDF] TISSNET 2016 Paper with Solutions

Instructions

For the following questions answer them individually

Question 81

Which of the following shall come in place of missing '- '?
m n o n o m - m - m n o - o -

Video Solution

Solution

The first three letters (m n o) becomes (n o m) the next three letters. Similarly, now (n o m) becomes (o m n).

So the missing letters are (o n n m)

Question 82

The roads to travel to various cities from point A are as given.
I, J and K can be reached only from E. E cannot be reached from D or C. A leads to B and from C, you can reach G. B leads to E. D can be reached from C. D leads to F. G also leads to F. L can be reached only from G via F. M can only be reached from D via F. All distances between two places are 1 km. All ways are one-way only.
If one reaches D, one can go to?

Video Solution

Solution

Using the conditions given in the question, the path diagram is as follows.

From D, one can only go to F and to M.

Hence, the answer is option A.

Question 83

The roads to travel to various cities from point A are as given.
I, J and K can be reached only from E. E cannot be reached from D or C. A leads to B and from C, you can reach G. B leads to E. D can be reached from C. D leads to F. G also leads to F. L can be reached only from G via F. M can only be reached from D via F. All distances between two places are 1 km. All ways are one-way only.
To reach M, one must have travelled through?

Video Solution

Solution

Using the conditions given in the question, the path diagram is as given below.

To reach M, the path is C-D-F-M.

Thus, one must have travelled through C and D to reach M.

Hence, the answer is option B.

Question 84

Two Statements are followed by two conclusion I and II. Mark your answer as:-
Statement:
All students in my college are intelligent.
Rahul is not intelligent
Conclusion:
I. Rahul is not from my college.
II. Rahul should study more.

Video Solution

Solution

As per the two statements, we can only conclude conclusion I and whether Rahul should study more or not we cannot infer from the above statements.

Question 85

MOBILE HAND SET USERS SURVEY DATA

Use the information from the earlier question and if the Survey was to be conducted on 10% less respondents then the Basic Hand Set Users shall be approximately?

Video Solution

Solution

From the previous question, we know that the total number of respondents surveyed = 39900

If there were 10% fewer respondents, the total = 0.9 x 39900 = 35910

Thus, Basic handset users = 0.57 x 35910 = 20468.7 $$\approx$$ 20469

Hence, the answer is option B.

Question 86

Alka places five Ice Cubes from the freezer, each of sides 5 centimeters each adjacent to each other. Find the area of the resultant cuboid that gets formed?

Video Solution

Solution

According to the problem,

Length of the cuboid (l) = 25 cm

Breadth of the cuboid (b) = 5 cm

Height of the cuboid (h) = 5 cm

Surface area of cuboid = 2(lb+bh+lh) = 2(125+25+125) = 2(275) = 550 cm$$^2$$

Question 87

A vase made of glass, when sold for ₹9,600 fetches 20% profit. What would be the percent profit/loss if 15 such vases are sold at a whole-sale price of ₹8,250 each?

Video Solution

Solution

Selling price of a vase = Rs. 9600 and profit % = 20%

=> Cost price = $$\frac{9600}{100+20}\times100=Rs.$$ $$8000$$

New Selling price of each vase = Rs. 8250

=> Profit % = $$\frac{8250-8000}{8000}\times100$$

= $$\frac{250}{80}\approx3\%$$

=> Ans - (A)

Question 88

Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio between them becomes 5:7. What is the difference between the two numbers?

Video Solution

Solution

Let the numbers be $$3x$$ and $$5x$$

According to question,

=> $$\frac{3x+10}{5x+10}=\frac{5}{7}$$

=> $$21x+70=25x+50$$

=> $$4x=20$$

=> $$x=\frac{20}{4}=5$$

$$\therefore$$ Difference = $$2x=2\times5=10$$

=> Ans - (B)

Question 89

The average of 50 numbers is X. If two numbers 53 and 47 are discarded, the average of the remaining set of numbers now is 37.5. What is the value of 50X?

Video Solution

Solution

Sum of 50 numbers = $$50x$$

After removing 53 and 47, average of 48 numbers = $$\frac{50x-53-47}{48}=37.5$$

=> $$50x-100=\frac{75}{2}\times48$$

=> $$50x=1800+100=1900$$

=> Ans - (B)

Question 90

If $$x^{abc} = x^a.x^b.x^c$$, where $$a, b, c and x$$ are all positive integers, then what is the value of $$(a + b + c)^2$$?

Video Solution

Solution

Given : $$x^{abc} = x^a.x^b.x^c$$

=> $$x^{abc} = x^{(a+b+c)}$$

=> $$a+b+c=abc$$

$$\because$$ $$a,b,c$$ are all positive integers, the only numbers that can satisfy above equation are : $$a=1,b=2,c=3$$

To find : $$(a+b+c)^2=(6)^2=36$$

=> Ans - (D)

CAT Content

TISSNET 2016

TISSNET 2016

Which of the following shall come in place of missing '- '?m n o n o m - m - m n o - o -

Two Statements are followed by two conclusion I and II. Mark your answer as:-Statement:All students in my college are intelligent.Rahul is not intelligentConclusion:I. Rahul is not from my college.II. Rahul should study more.

MOBILE HAND SET USERS SURVEY DATA Use the information from the earlier question and if the Survey was to be conducted on 10% less respondents then the Basic Hand Set Users shall be approximately?

Alka places five Ice Cubes from the freezer, each of sides 5 centimeters each adjacent to each other. Find the area of the resultant cuboid that gets formed?

A vase made of glass, when sold for ₹9,600 fetches 20% profit. What would be the percent profit/loss if 15 such vases are sold at a whole-sale price of ₹8,250 each?

Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio between them becomes 5:7. What is the difference between the two numbers?

The average of 50 numbers is X. If two numbers 53 and 47 are discarded, the average of the remaining set of numbers now is 37.5. What is the value of 50X?

If $$x^{abc} = x^a.x^b.x^c$$, where $$a, b, c and x$$ are all positive integers, then what is the value of $$(a + b + c)^2$$?

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Which of the following shall come in place of missing '- '?
m n o n o m - m - m n o - o -

Two Statements are followed by two conclusion I and II. Mark your answer as:-
Statement:
All students in my college are intelligent.
Rahul is not intelligent
Conclusion:
I. Rahul is not from my college.
II. Rahul should study more.

MOBILE HAND SET USERS SURVEY DATA

Use the information from the earlier question and if the Survey was to be conducted on 10% less respondents then the Basic Hand Set Users shall be approximately?