SNAP 2018 Question Paper

We have the following details of Row 2.

1. Mahesh sits third to the right of Deepika and likes Chess.

2. Only 2 people sit between Suresh and the vacant seat.

3. Suresh sits at one of the extreme ends.

4. The vacant seat of row 1 does not face Mahesh and he does not sit at any extreme ends.

5. Arvind, who neither likes Wrestling nor Boating does not face vacant seat and sits opposite to the person who likes Kabaddi.

6. Deepika does not sit at extreme ends.

7. The one who likes baseball sits opposite to the one, who sits third right of the one, who sits opposite to Mahesh.

8.Vacant seats are not opposite to each other.

9.Sonal faces Deepika.

Thus we can make the following arrangement:

Further information:

Ann is not an immediate neighbour of Lakshmi.

Lakshmi is not an immediate neighbour of Sonal.

Two seats are there between Lakshmi and David.

The vacant seat of row 1 is not an immediate neighbour of Sonal. Lakshmi is located at an extreme end.
David likes Skating.

David sits third right of the one who likes Walking.
The person who likes kabaddi and running are adjacent to each other.

The one who likes Baseball faces the other one who likes Running.

Deepika does not like Kabbadi and Running.

Suresh does not like Wrestling and Baseball.

The one who likes swimming faces the one who likes chess.

We can make the following table:

Correct Option D

We have the following details of Row 2.

1. Mahesh sits third to the right of Deepika and likes Chess.

2. Only 2 people sit between Suresh and the vacant seat.

3. Suresh sits at one of the extreme ends.

4. The vacant seat of row 1 does not face Mahesh and he does not sit at any extreme ends.

5. Arvind, who neither likes Wrestling nor Boating does not face vacant seat and sits opposite to the person who likes Kabaddi.

6. Deepika does not sit at extreme ends.

7. The one who likes baseball sits opposite to the one, who sits third right of the one, who sits opposite to Mahesh.

8.Vacant seats are not opposite to each other.

9.Sonal faces Deepika.

Thus we can make the following arrangement:

Further information:

Ann is not an immediate neighbour of Lakshmi.

Lakshmi is not an immediate neighbour of Sonal.

Two seats are there between Lakshmi and David.

The vacant seat of row 1 is not an immediate neighbour of Sonal. Lakshmi is located at an extreme end.
David likes Skating.

David sits third right of the one who likes Walking.
The person who likes kabaddi and running are adjacent to each other.

The one who likes Baseball faces the other one who likes Running.

Deepika does not like Kabbadi and Running.

Suresh does not like Wrestling and Baseball.

The one who likes swimming faces the one who likes chess.

We can make the following table:

Correct Option A

We have the following details of Row 2.

1. Mahesh sits third to the right of Deepika and likes Chess.

2. Only 2 people sit between Suresh and the vacant seat.

3. Suresh sits at one of the extreme ends.

4. The vacant seat of row 1 does not face Mahesh and he does not sit at any extreme ends.

5. Arvind, who neither likes Wrestling nor Boating does not face vacant seat and sits opposite to the person who likes Kabaddi.

6. Deepika does not sit at extreme ends.

7. The one who likes baseball sits opposite to the one, who sits third right of the one, who sits opposite to Mahesh.

8.Vacant seats are not opposite to each other.

9.Sonal faces Deepika.

Thus we can make the following arrangement:

Further information:

Ann is not an immediate neighbour of Lakshmi.

Lakshmi is not an immediate neighbour of Sonal.

Two seats are there between Lakshmi and David.

The vacant seat of row 1 is not an immediate neighbour of Sonal. Lakshmi is located at an extreme end.
David likes Skating.

David sits third right of the one who likes Walking.
The person who likes kabaddi and running are adjacent to each other.

The one who likes Baseball faces the other one who likes Running.

Deepika does not like Kabbadi and Running.

Suresh does not like Wrestling and Baseball.

The one who likes swimming faces the one who likes chess.

We can make the following table:

Correct Option A

We have the following details of Row 2.

1. Mahesh sits third to the right of Deepika and likes Chess.

2. Only 2 people sit between Suresh and the vacant seat.

3. Suresh sits at one of the extreme ends.

4. The vacant seat of row 1 does not face Mahesh and he does not sit at any extreme ends.

5. Arvind, who neither likes Wrestling nor Boating does not face vacant seat and sits opposite to the person who likes Kabaddi.

6. Deepika does not sit at extreme ends.

7. The one who likes baseball sits opposite to the one, who sits third right of the one, who sits opposite to Mahesh.

8.Vacant seats are not opposite to each other.

9.Sonal faces Deepika.

Thus we can make the following arrangement:

Further information:

Ann is not an immediate neighbour of Lakshmi.

Lakshmi is not an immediate neighbour of Sonal.

Two seats are there between Lakshmi and David.

The vacant seat of row 1 is not an immediate neighbour of Sonal. Lakshmi is located at an extreme end.
David likes Skating.

David sits third right of the one who likes Walking.
The person who likes kabaddi and running are adjacent to each other.

The one who likes Baseball faces the other one who likes Running.

Deepika does not like Kabbadi and Running.

Suresh does not like Wrestling and Baseball.

The one who likes swimming faces the one who likes chess.

We can make the following table:

Correct Option B

We have the following details of Row 2.

1. Mahesh sits third to the right of Deepika and likes Chess. 

2. Only 2 people sit between Suresh and the vacant seat. 

3. Suresh sits at one of the extreme ends. 

4. The vacant seat of row 1 does not face Mahesh and he does not sit at any extreme ends.

5. Arvind, who neither likes Wrestling nor Boating does not face vacant seat and sits opposite to the person who likes Kabaddi. 

6. Deepika does not sit at extreme ends.

7. The one who likes baseball sits opposite to the one, who sits third right of the one, who sits opposite to Mahesh.

8.Vacant seats are not opposite to each other.

9.Sonal faces Deepika.

Thus we can make the following arrangement:

Further information:

Ann is not an immediate neighbour of Lakshmi. 

Lakshmi is not an immediate neighbour of Sonal.

Two seats are there between Lakshmi and David.

The vacant seat of row 1 is not an immediate neighbour of Sonal. Lakshmi is located at an extreme end.
David likes Skating.

David sits third right of the one who likes Walking. 
The person who likes kabaddi and running are adjacent to each other.

The one who likes Baseball faces the other one who likes Running.

Deepika does not like Kabbadi and Running.

Suresh does not like Wrestling and Baseball.

The one who likes swimming faces the one who likes chess.

We can make the following table:

Option D

we have :
$$\frac{\left(2^{\frac{1}{2}}\times\ 3^{\frac{1}{3}}\times\ 4^{\frac{1}{4}}\right)}{10^{-\frac{1}{5}}\times\ 5^{\frac{3}{5}}}\ \ \ \ $$
Now 4 = 2^2 and 10 = 2*5
We get $$\ \frac{\left(2^{\frac{1}{2}+\frac{1}{2}}\times3^{\frac{1}{3}}\ \right)}{2^{-\frac{1}{5}}\times\ 5^{-\frac{1}{5}}\times\ 5^{\frac{3}{5}}}=\frac{\left(2^{\frac{6}{5}}\times\ 3^{\frac{1}{3}}\right)}{5^{\frac{2}{5}}}$$     (1)
Now the next term we have is :$$\frac{\left(3^{\frac{4}{3}}\times\ 5^{-\frac{7}{5}}\right)}{4^{-\frac{3}{5}}\times\ 6}$$
6= 2*3 and 4=2^2
We get $$\frac{\left(3^{\frac{1}{3}}\times\ 5^{-\frac{7}{5}}\right)}{2^{-\frac{1}{5}}}$$     (2)
Dividing (1) and (2) we get
$$\frac{\left(2^{\frac{6}{5}}\times\ 3^{\frac{1}{3}}\right)}{5^{\frac{2}{5}}}\times\ \frac{\left(2^{-\frac{1}{5}}\right)}{3^{\frac{1}{3}}\times\ 5^{-\frac{7}{5}}}$$
= $$\frac{2}{5^{-1}}=10$$
Now we have to multiply by 2
so we get 10*2=20

Let $$\angle\ HBG$$ = 2y

$$\angle\ BAF$$ = 2y (corresponding angles are equal)

$$\angle\ FAC\ =\ \angle\ CAB$$ = y

$$\angle\ ABG$$ = 180 - 2y

$$\angle\ ABC\ =\ \angle\ CBG$$ = 90 - y

Sum of all angles of a triangle = $$180^{\circ\ }$$

In traingle, $$\angle\ CAB$$ = y, $$\angle\ ABC$$ = 90-y

y + 90 - y + $$\angle\ ACB$$ = 180

$$\angle\ ACB$$ = $$90^{\circ\ }$$

$$\angle\ ECB$$ = 180 - 90 = 90

2x = 90

x = $$45^{\circ\ }$$

Answer is option B

$$c\ =\ \pi\ rl\ =\ \pi\ r\sqrt{\ r^2+h^2}$$

$$v\ =\ \frac{1}{3}\pi\ r^2h$$

$$3\pi\ vh^3\ =\ 3\pi\ \left(\frac{1}{3}\pi\ r^2h\right)h^3\ =\ \pi\ ^2r^2h^4$$

A) $$9v^2-c^2h^3\ =\ 9\left(\frac{1}{3}\pi\ r^2h\right)^2-\pi\ ^2r^2\left(h^2+r^2\right)h^{3\ }=\ \pi\ ^2r^4h^2-\pi\ ^2r^2h^5-\pi\ ^2r^4h^3$$ 

B)$$c^2h^2-9v^2\ =\ \pi\ ^2r^2\left(h^2+r^2\right)h^2-9\left(\frac{1}{3}\pi\ r^2h\right)^2=\ \pi\ ^2r^2h^4+\pi\ ^2r^4h^{2\ }-\ \pi\ ^2r^4h^2\ =\ \pi\ ^2r^2h^4$$ = $$3\pi\ vh^3$$

option C and D is not equal to $$3\pi\ vh^3$$

Answer is option B.

Number of green dyes = 5

Number of blue dyes = 4

Number of red dyes = 3

The no of ways of choosing of at least one green and one blue is = $$\left(2^5-1\right)\left(2^4-1\right)2^3$$

=31*15*8

= 3720 

B is the correct answer.

If X+ Y+Z = 0 , then $$X^3+Y^3+Z^3=3XYZ$$

Let a-b = X, b-c = Y, c-a = Z

We can see that X+Y+Z=0
so $$(a - b)^3 + (b - c)^3 + (c - a)^3$$ = 3(a-b)(b-c)(c-a)

B is the correct answer.