SNAP 2018 Question Paper

5, 9, 16, 29, 54,__, ?

5x2-1=9

9x2-2=16

16x2-3=29

29x2-4=54

54x2-5=103

103x2-6=200

Answer 200

The time period of a pendulum(T) =2$$ \pi \sqrt{\frac{l}{g} }$$.

The time period is directly proportional to the length of the pendulum.

More the time period, lesser will be the speed of the pendulum.

So Option B is correct.

The following information can be gathered:

=>  Marketing cannot be scheduled on Tuesday as it is inconvenient for the expert. 

=> Expert for Finance is available only on Tuesday.

Monday Tuesday   Wednesday   Thursday   Friday  

______   Finance

=> Information Systems has to be scheduled immediately on the day following the Marketing lecture. 

=> Organisational Behaviour lecture has to be scheduled immediately before the day of Marketing lecture. 

  Monday    Tuesday         Wednesday                Thursday          Friday

Operations-Finance-Organisational Behaviour- Marketing-Information Systems

Option D

From the information given in the question, we can make the following diagram.

Option C is correct

Baby Pig is called a Farrow.

Baby  Lion is called a Cub.

Baby bear is also called a Cub.

The moment they will meet they will be equidistant from the two cities.

Option C is correct.

Fibonacci Series = 1,1,2,3,5,8.....

Z-Y=1

Y-X=1

X-V=2

V-S=3

N-S=5

Option A is correct.

No of vowels in PUNE=2

No of vowels in GOA=2

2/2=1

No of vowels in PUNE=3

No of vowels in MUMBAI=2

3/2=1.5

Option C

3+5+7+9=24........242

11+12+13+14=50......502

66= 7+10+21+x

x=28

Option B

11=2x3+5

-12= (-5)x2+(-2)

(-10)x6 + (-10)=-70

Option B is correct

$$A \cap B$$

$$(A \cup B) - A$$

$$(A \cap B) \cup A$$

Option D is correct.

After the bell will ring four times Umesh will again face Jayesh.

So after 3924 turns, it will face Jayesh.

After 3926 turns he will face Mahesh.

Option B

The top view of the three cones can be seen in the figure below.

The three centres will form an equilateral triangle. R= 2/3*$$\sqrt{3 }$$r

R= 2/$$\sqrt{3 }$$*r

R is larger than r.

Option C

Oil and water will put off the flame while petrol will increase the flame.

Option B

16, _ , 68, 88 

The mirror image of each sequence will be 

19, __ , 98, 88 

Invert the digits

91, __, 89, 88

90 inverted digits will be 06.

30 players participated in the tournament.

In the first elimination round, 15 players will be eliminated. ( 15 matches )

In the second elimination round, 7 players will be eliminated. (7matches)

In the third elimination round, 4 players will be eliminated. (4matches)

In the fourth elimination round, 2 players will be eliminated. (2matches)

Final Match (1 match)

Total matches= 1+2+4+7+15 matches

=29 matches

Let the total number of friends be T

The total number of friends went to Chennai= 3 (T/3-T/5)= 2T/5

Number of friends went to Pune= T-T/5-2T/5-T/3

= T-14T/15

=T/15=1

T=15

The number of friends who went to Mumbai=T/5 =15/5=3

 Only one message is True and the other two messages are False.

The first carton has the message: Cash is not in the Carton. 

The second carton has the message: No cash in the Carton. 

The third carton has the message: Cash is in the second carton

If the second carton has the cash, then there will be 2 true messages i.e. First and Third.

If the third carton has the cash, then there will be 2 true messages i.e. First and Second.

If the first carton has the cash, then there will be 1 true message i.e. of second.

Option A

None of these paper combinations can form the figure given in the question.

The following diagram will explain the basic structure of the paper:

None of the above figures can make the given shape.

Option D 

Four classes Rural Marketing, Digital Marketing, International Marketing and Service Marketing were taught in four consecutive periods of one hour each starting from 8.00 am on a week day.
Digital Marketing class was scheduled:
Statement I. International marketing class ended at 10.00 am which was preceded by Service Marketing.

We can make the  following schedule

8.00 am- 9.00 am: Service Marketing

9.00 am- 10.00 am: International Marketing

10.00 am- 11.00 am: ____________

11.00 am- 12.00 noon: ____________

Statement II. Rural Marketing was scheduled as the last class.
Statement III. International Marketing was immediately followed by Digital Marketing.

We can subsequently find the exact time when Digital Marketing is scheduled from both the statements.

Hence the correct answer is Option C

Statement I. Kakade‘s basic salary is Rs.100/- more than Madan’s salary, who also serves in Kakade’s company.
Statement II. Other allowance taken by Madan besides his basic salary is 1/10th of Kakade’s salary.
Statement III. Madan’s basic salary is Rs.15000/- per month.

From all the three statements we can find the basic monthly salary of Kakade but we cannot calculate the allowance he gets,  thus the data is insufficient.

Babu is younger than Gopu. Somu is older than Pappu. Babu < Gopu & Pappu < Somu

Statement I. Somu is older than Babu. ....Gopu can still be older than Somu, so we cannot find the oldest among all.
Statement II. Gopu is older than Somu. Here Gopu will definitely be the oldest
Statement III. Pappu is the youngest of all. Cannot find the oldest among all.

Hence Option D is correct.

MASTER is written as 79 7 115 121 31 109

In the alphabetical order M=13, A=1, S=19, T=20, E=5, R=18

The sequence is  (n x 6)+1: 79= 13x6+1  7= 1x6+1  115= 19x6+1

.....

Thus the sequence for LAUGH will be

L= 12x6+1 =73

A=1x6+1=7

U=21x6+1= 127

G=7x6+1= 43

H=8x6+1= 49

Answer: 7371274349

Every non-leap year have 365 days. i.e (7x52+1) days.

Leap year have 366 days i.e ( 7x52+2) days

A cycle of four years will have 1+1+1+2 days i.e 5 days shift  

For the days to repeat, the shift should be a multiple of 7.

A cycle of four years if repeated 7 times will have a 35 days shift. Every day will repeat after 4x7 (28 years).

After 1996 the cycle will be in 1996+28 = 2024 

January: 10125: [10] [1] [25] : [ J ]  [ 1st month ]  [Y]   : [First letter] [Month of the calender] [ Last letter]

June: 10605: [10] [6] [05] : [ J ] [ 6th month ] [E] : [First letter] [Month of the calender] [ Last letter]

July : [ J ] [ 7th month ] [Y] :  [10] [7] [25]  10725

Answer 10725

Following triangles are possible:

 AFB, AFE, FED, FCD, FCB .......5

ABC, ABE, ACD, BED, AFD, BFD.......6

ABD......1

Total of 12 triangles possible.

Let's consider the photographer to be facing south, and Rohan, Pawan, Mohan and Sohan will be facing north. 

As we can see that Rohan(1) is the second from the left for the photographer.

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 C

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 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:

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.

Probability of Sonal's selection = $$\frac{1}{7}$$

Probability of Meenal's selection = $$\frac{1}{5}$$

The probability that only one of them is selected = $$\frac{1}{7}$$*$$\frac{4}{5}$$ +  $$\frac{6}{7}$$*$$\frac{1}{5}$$

= $$\frac{10}{35}$$

= $$\frac{2}{7}$$

B is the correct answer.

$$\log_{10}{\left(\frac{1}{110}\right)}$$

$$\log_a\left(\ \frac{\ x}{y}\right)\ =\ \log_ax-\log_ay$$

$$\log_{10}{\left(\frac{1}{110}\right)}$$ = $$=\ \log_{10}1-\log_{10}110$$

= 0$$-\log_{10}110$$ 

=$$-\log_{10}11\times\ 10$$

=$$-\left(\log_{10}11+\log_{10}10\right)$$

= -(a+1)

D is the correct answer.

Let the cost of the fridge = 100x

The price of the TV = 150x (Since the cost of TV is 150% of the cost of the fridge)

The price of the fridge  $$\ \frac{\ 100x}{100x+150x}$$ times the price of TV and fridge

The price of the fridge =40% of the price of TV and fridge

B is the correct answer.

Given e = 8

Number of students shortlisted for A and B is 14

 e + b = 14

       b = 6

Number of students shortlisted for A and C is 12

e + d = 12

      d = 4

Number of students shortlisted for B and C is 15

e + f = 15

      f = 7

Given 

Number of students shortlisted for B is 26

b + f + e + c = 26

6 + 7 + 8 + c = 26

                  c = 5

Number of students shortlisted for C is 29

d + e + f + g = 29

                 g = 10

Number of students shortlisted for A is 21

b + e + d + a = 21

                  a = 3

Number of students shortlisted for only B = c = 5

Number of students shortlisted for only C = g = 10

Ratio = 5:10 = 1:2

Answer is option B

Let the fixed charge be Rs. x and variable charge/km is Rs. y.

As per the question,

x + 10y= 150 and x+ 15y = 220

On solving both the equations, we get 5y = 220-150= 70

y = Rs. 14/km and x = Rs. 10

Charge for 25 km = x+ 25y 

= 10+25*14 = Rs. 360

C is the correct answer.

we have :

28-7-7 =14 
So we have 4 semicircles with diameters 28,7,7 and 14 .
Now area of shaded region = Area of bigger semicircle (radius 14 ) - 2 (Area of smaller semicircles with radius 3.5 ) +Area of semicircle with radius 7
we get $$\pi\ \ \frac{14^2}{2}-\ 2\ \frac{\pi\left(3.5\right)^2}{2}+\pi\ \ \frac{\left(7\right)^2}{2}$$
= $$98\pi+24.5\pi\ -12.25\pi\ \ =110.25\pi\ $$

s = $$\ \frac{\ a+b+c}{2}$$ = $$\ \frac{\ 30+60+60}{2}$$ cm =75 cm
Using Heron's formula
Area=√[s(s-a)(s-b)(s-c)]
=√[75(75-60)(75-60)(75-30)]
=$$225\sqrt{\ 15}$$ cm
There are total 10 pieces 

First colour=5*($$225\sqrt{\ 15}$$) = $$1125\sqrt{15}$$ cm
Second colour=5*($$225\sqrt{\ 15}$$) = $$1125\sqrt{15}$$ cm

B is the correct answer.

$$\ \frac{\ R_c}{m}=\ln\left(1+\frac{R_m}{m}\right)$$

$$\ \frac{\ R_m}{m}+\ 1\ =\ e^{\ \frac{\ R_c}{m}}$$

$$\ \frac{\ R_m}{m}\ =\ e^{\ \frac{\ R_c}{m}}-1$$

$$R_m = m\left(e^{\frac{R_c}{m}} - 1 \right)$$

C is the correct answer.

In question it is mentioned L denotes labor.

Here $$a^0$$ and $$L^0$$ are both constants, since they are not being mentioned as variables.

Also, the equation does not have "L" term in it

So, the output is independent of Labour L.

C is the correct answer.

Sum of all (Petrol price per litre - taxes) in the last week = 35+34+35.5+37+37.5+38

=  217

Taxes on petrol = 1.25 times (the price of petrol - taxes)

2.25* taxes on petrol = 1.25 times the price of petrol

The price of petrol = 1.8 times the taxes on petrol.

1.8 times the taxes on petrol - taxes on petrol = 217

0.8 times the taxes on petrol = 217

Taxes on petrol = $$\ \frac{217}{0.8}$$ = 271.25

The average amount of tax collected = $$\ \frac{271.25}{6}$$ 

= 45.2

A is the correct answer.

Number of letters in ASTRONAUT = 9

Here A and T are repeated twice. 

So the number of ways of arrangement = $$\ \frac{\ 9!}{2!\times\ 2!}$$

= 90720

D is the correct answer.

Total fund collected by 20 students = 20*10000 = 2,00,000 

Investment in riskless government securities = 2,00,000*$$\ \frac{\ 50}{100}$$ = 100000

Investment in equities = 2,00,000 -  1,00,000 = 1,00,000

Gain by equities = 1,00,000*$$\ \frac{\ 1}{100}$$ = 1000

Gain by riskless government securities = 1,00,000*$$\ \frac{\ 7.8}{100}$$ = 7800

Total gain = 1000+7800 = 8800

gain/student = $$\ \frac{\ 8800}{20}$$ = 440

Gain% = $$\ \frac{\ 440}{10000}\times\ 100$$

= 4.4%

B is the correct answer.

Given AD = 30 cm

In triangle ACD,

$$\tan\angle ACD\ =\ \ \frac{\ AD}{DC}$$
$$\sqrt{\ 3}\ =\ \ \frac{\ 30}{DC}$$

DC = $$10\sqrt{\ 3}$$

radius of cone = DC = $$10\sqrt{\ 3}$$

Volume of cone = $$\frac{1}{3}\pi\ r^2h$$ = $$\frac{1}{3}\pi\ \left(10\sqrt{\ 3}\right)^2\left(30\right)$$ = $$3000\pi\ cm^3$$

Answer is option A.

Let x, y, z be the number of items purchased by Nisha of price Rs. 5, 2, 1 respectively.

5x+2y+z = 20

Since the shopkeeper had no change with him/her; he/she gave Nisha three more products of price Rs. 1 each i.e Nisha purchased items of Rs. 17

5x+2y+z =17

She purchased all three types of products in more than one quantity, 

If she purchases three items of Rs. 5, she cannot purchase 2 items of Rs 2 and 1

So Nisha purchases 2 items of Rs. 5.

If Nisha purchases 3 items of Rs 2., then she cannot purchase more than 1 item of Rs. 1.

Hence she must have purchased 2 items of Rs. 2 and 3 items of Rs. 1.

The number of items Nisha will have at the end of the transaction = 2+2+3+3(due to no change)

= 10

D is the correct answer.

Let the sides of the rectangle be 2x, 7x

It is given that the perimeter = 360m

2(2x+7x) = 360

x= 20m

Length = 7*20 = 140m, breadth = 2*20 = 40m

A is the correct answer.

Let the initial price and expenditure of sugar be 100p, 100e respectively.

Consumption = $$\ \frac{\ Expenditure\ }{\Pr ice}$$

=$$\ \frac{\ e\ }{p}$$

The increased price of sugar = 120p

Increased expenditure on sugar = 105e

Changed consumption = $$\ \frac{105\ e\ }{120p}$$

=0.875 $$\ \frac{\ e\ }{p}$$

Percentage decrease in consumption = $$\ \frac{(0.875-1)}{1}$$*100

=12.5

B is the correct answer.

If P is the principal and r is the rate of interest, then the difference between simple interest and compound interest for 2  years = $$\ \frac{\ \Pr^2}{100^2}$$

It is given that the difference is Rs 50 and the rate of interest is 5%  per annum.

Principle P = Rs. 20000

Amount at the end of 3 years = $$P\left(1+\ \frac{\ 5}{100}\right)^3$$

= $$20000\left(1+\ \frac{\ 5}{100}\right)^3$$

= Rs.23152.5

D is the correct answer.

$$\log \tan 1^\circ + \log \tan 2^\circ + \log \tan 3^\circ + ........ + \log \tan 89^\circ$$.

=$$\log \tan 1^\circ + \log \tan 89^\circ + \log \tan 2^\circ + \log \tan 88^\circ ........ + \log \tan 45^\circ$$.

=$$\log\ \left(\tan\ 1^0\cdot\tan\ 89^0\right)\times\log\ \left(\tan\ 2^0\cdot\tan\ 88^0\right)\ ...........................\log\ \left(\tan\ 45^0\right)$$

tan $$45^0$$ = 1

$$\log\ \left(\tan\ 45^0\right)\ =\ 0$$

$$\therefore$$ $$\log \tan 1^\circ + \log \tan 2^\circ + \log \tan 3^\circ + ........ + \log \tan 89^\circ$$ = 0

Let the  other multiplier be p

Instead of calculating 25*p, he calculated 34*p

It is given that because of the mistake, the answer was 405 more than the correct answer.

34p-25p=405

9p = 405

p=$$\ \frac{\ 405\ }{9}$$

Now we have to find the value of 34p

=34*$$\ \frac{\ 405\ }{9}$$

=1530

A is the correct answer.

Number of different words that can be formed using the letters of the word CUSTOM and starting with M are 

M,_, _, _, _, _. 

These 5 blanks have to be filled with the remaining 5 letters in 5*4*3*2*1 = 120 ways.

C is the correct answer.

Marathi, English and Tamil books can be arranged in 3! ways.

All the Marathi books can be arranged among themselves in 5! ways.

Similarly, the English and Tamil books can be arranged among themselves in 3! ways.

The total number of ways in which the books can be arranged = 3!*5!*3!*3!

=25920

A is the correct answer.

Due to stoppages, the bus will cover 10 km less.

Time taken to cover 10 km = $$\ \frac{10}{50}\times\ 60\ \min$$

=12 min

A is the correct answer.

It is given that A can do a piece of work in 10 days and B can do the same work in 15 days.

Let the total work be LCM of (10, 15) = 30 units

Amount of work done by A in one day = $$\ \frac{\ 30}{10}$$ = 3 units

Amount of work done by B in one day = $$\ \frac{\ 30}{15}$$ = 2 units

Amount of work done by A and B together in one day = 3+2=5 units

So, together will complete 5*4 units i.e 20 of work in four days.

The amount of work left out = 30-20=10 units

The fraction of work left out = $$\ \frac{\ 10}{30}$$ = $$\ \frac{\ 1}{3}$$

D is the correct answer.

It is given 20% of x = y

x=5y

We have to find y% of 20 = $$\ \frac{\ y}{100}\times\ 20$$  

=$$\ \frac{\ y}{5}$$

=$$\ \frac{\ x}{25}$$

= 4% of x

Let Anu finishes the race in t hours.

Speed of Anu = $$\ \frac{\ 4000}{t}$$ m/hour

Speed of Bhanu = $$\ \frac{\ \left(4000-600\right)}{t}$$ m/hour Since Anu wins the race by 600m

Time taken by Bhanu to finish the race = Time taken by Caira to cover 3800m.

Time taken by Bhanu = $$\ \frac{\ 4000}{\ \frac{\ 3400}{t}}\ =\ \ \frac{\ 20}{17}t$$

Speed of Caira = $$\ \frac{\ 3800}{\ \frac{\ 20}{17t}}\ =\ \ \frac{\ 3230}{t}$$ m.hr.

To finish the race at the same time Anu should give Caira a headstart of 4000-3230 = 770m

C is the correct answer.

Surface area of one bigger box =2(25×20+20×5+5×25)
=1450cm2
By adding 5% for overlaps =1450+72.5=1522.5cm2
Area for 250 bigger boxes =1522.5×250cm2
Cost for 250 bigger boxes =1522.5×250×4=Rs.1522500
Surface area of smaller box =2(15×12+12×5+5×15)=630cm2
By adding 5% for overlaps =630+31.5=661.5cm2
Area for 250 small boxes =661.5×250×4=Rs.661500
Total cost =1522500+661500=Rs.2184000

$$\frac{(4)^2 \times 2^{n + 1} - 4 \times 2^n}{(4)^2 \times 2^{n + 2} - 2 \times 2^{n + 2}}$$

$$\frac{(2)^4 \times 2^{n + 1} - 2^2 \times 2^n}{(2)^4 \times 2^{n + 2} - 2 \times 2^{n + 2}}$$

$$\frac{(2)^3 \times 2^{n}*2 -2 \times 2^n}{(2)^3 \times 2^{n}*2^2 - 2^{n}*2^2}$$

$$\ \frac{\ 2^3\times\ 2-2}{2^3\cdot2^2-2^2}$$

$$\ \frac{\ 14}{28}$$

=0.5

We have :

Now h^2 +x^2 =625
and h^2 +(17-x)^2 =676
subtracting the equations we get 
34x=289+625-676
we get 34x =238
we get x=7
Therefore 
we get h =24
Therefore area = 1/2 (137)(24)
= 1644

($$p^3+3p^2q+3pq^2+q^3$$) - ($$p^3-3p^2q+3pq^2-q^3$$) - ($$6q(p^2 - q^2)$$)

=$$6p^2q+2q^3-6q(p^2-q^2)$$

= 8$$q^3$$ 

=8 (Since q = 1)

8 is the correct answer.

In Roman numerals,

The values of M = 1000, D = 500, C = 100, L=50, X = 10, V = 5, 1 = 1.

The value of MMXVIII = 1000+1000+10+5+1+1+1 = 2018

2018 is the correct answer.

bemuse, bewilder and confuse all mean the same, all relate to causing confusion or puzzlement.. Therefore, the odd one out is reuse.

The answer is option B.

epicurean - a person devoted to sensual enjoyment especially derived from food.

gourmet,gastronomist - a connoisseur of good food.

Hideous is not related to food in any way.

The odd one out is hideous.

Answer is option D.

'desire for' is the appropriate word for the give blank.
Sentence: The young man said that he had no desire for riches.

Answer is option B.

'jewellery' is correctly spelt among the given options.

Answer is option C.

First sentence should be in past tense, i.e. I wish I had known that Harish was ill, I would have gone to see him.

Answer is option B.

Mea culpa, which means 'through my fault' in Latin. Among the given options, option D is the appropriate one.

Answer is option D.

Still waters run deep. In this sentence, still represents the nature of water. Therefore, still is an adjective.

He wanted some stills for a magazine. In this sentence, stills is a noun.

The good news makes me still my fears. In this sentence, still is a verb

Answer is option C.

A: Here, "well" refers to a physical structure (a source of water). This makes "well" a noun.

B: In this sentence, "well" is part of the phrasal verb "well up," meaning to rise or swell (like tears rising in the eyes). This makes "well" a verb.

C: Here, "well" describes how the children behaved, modifying the verb "behaved." This makes "well" an adverb.

D: In this case, "well" works as an adjective, modifying the deserved victory. 

The correct matching would hence be:

1-b, 2-d, 3-a, 4-c

Therefore, Option A is the correct answer. 

turmoil - confusion, uncertainty

assassination - planned killing of a known person, murder - killing of a person

metamorphosis is a form of transformation but is not exactly similar.

chaos - complete disorder, confusion

Answer is option D.

Correct sentence: Do not eat the cake, wait till your friends come.

Answer is option C.

Second sentence is the consequence of the first sentence. In the given context, 'else' is the appropriate word to use.

Answer is option B.

usurp - take a position of power illegally or by force.

encroach - taking a position on a person's territory or rights.

Answer is option D.

flagrant - immoral actions which are so obvious

blatant - actions(bad behaviour) done openly, very obvious\

Answer is option C.

ostentatious, pretentious - showy, designed to impress

flamboyant - tending to attract attention

obtrusive - noticeable in an unwanted way

modest - relatively moderate, small

Modest would be the most appropriate antonym of ostentatious.

Given sentence is in direct speech form. 

Indirect speech sentence would be 'He said that he had won the race'.

Option B: "has won" (present perfect) should shift to "had won" (past perfect)

Option C: "he have won" is grammatically incorrect; it should be "he had won" (past perfect).

Option D: This changes the meaning by using the passive voice ("the race has been won"), which implies the race was won by someone, but it doesn’t specify that "he" (the speaker) won it.

Therefore, Option A is the correct answer. 

Given sentence is in direct speech form(simple present tense).

Indirect speech form should be in simple past tense, i.e. 'She requested the boys to wait there till she got back'.

Answer is option C.

In sentence 3, error in totaly committed. Totaly is incorrectly spelt.

Correct spelling: totally

Answer is option C.

Error is in first sentence, i.e. he made me to wait for him. 'to' is redundant in the given sentence.

Answer is option A.

The phrase "such severe" is incorrect because "such" should be followed by a noun, but "severe" is an adjective.

"so + adjective + that"

'so severe' is better than the underlined part. 

The answer is option B.

'by' is the correct preposition to be used in the given context.

Answer is option B.

Sentence: We met her again at the hospital last evening.

Answer is 657319842.

The correct plural of the word "CRISIS" is "CRISES."

Therefore, the student with Roll No 101 gave the correct answer.

So, the answer is 101.

The correct spelling of the term is ARBITRATION.

Therefore, the board that has displayed the correct spelling of the term is Board 1.

So, the answer is: 1.

wear

past form - wore

past participle form - worn

Answer is 3.

Correct proverb: A swarm in May is worth a load of hay; a swarm in June is worth a silver spoon ; but a swarm in July is not worth a fly.

Answer is 3.

The sentences mean that Google is generally open and honest about requesting your consent before accessing or using your location data. 

This is aptly captured in option C. 

Therefore, Option C is the correct answer. 

Through the lines "You can turn off Location History at any time. With Location History off, the places you go are no longer stored”. That isn’t true." the author suggests that while Google might claim turning off your location history might take you off the grid, your location history is still being stored. 

This is aptly captured in option A, making it the correct answer. 

The passage states that "The privacy issue affects some two billion users of devices that run Google's Android operating software and hundreds of millions of world wide iPhone users who rely on Google for maps or search."

Therefore, Option B is the correct answer. 

Leaving "Web and App activity” on and turning "Location History" off only prevents Google from adding your movements to the "timeline", its visualization of your daily travels. It does not stop Google’s collection of other location markers. This means Google can still collect the location makers.

Answer is option C.

The passage is about Google and how the tracking happens without your permission. 

Looking at the options, none of the options capture this location aspect, except option C. 

Therefore, Option C is the correct answer. 

Options A, C and D are not valid explanations to call him the rarest of creatures. Option B is appropriate reason.

Answer is option B.

Those words were echoed 125 years later by the call of John Lennon, who was not an economist but a rather successful global capitalist, to "imagine there's no countries”. As he said in his 1971 song. it isn't hard to do.

From the lines above, we can see that he was most likely a singer, since one of his songs is quoted here. 

Therefore, Option C would be the correct answer. 

The last paragraph states, "...the experience of China, South Korea, Chile and India shows that the much better and more powerful way to deal with poverty is to use the solution that worked in the past in America, western Europe and japan: open, trading economies, exploiting the full infrastructure of capitalism (including financial services) amid a rule of law provided by government In other words, globalisation." Which is captured in option D. 

 While a) giving more aid is mentioned as having some merit, the passage emphasizes that globalization and capitalism are more effective, as proven by historical examples. Options b) and c) are not discussed, making option D the correct answer. 

arcane - not known, secret or something known by few

Among the given options, option C is the most appropriate one.

Option C would be the correct answer. 

It is mentioned in the passage that India is reluctant to cut its own farm tariffs and has interest in liberalising trade in services.

Answer is option D.