Q1 to Q 10: There are 5 students who takes examination in five

different subject with following information provided:

Average marks scored by Anjali was 39.2 . Her minimum score

was 25 in Physics and Maximum was 46 in Biology

Average marks scored by Bhanu was 33.6 . His minimum score

was 24 in Physics and Maximum was 41 in Maths

Average marks scored by Chandra was 32.6 . His minimum

score was 27 in Computers and Maximum was 37 in Biology.

Average marks scored by Dushant was 33.6 . His minimum

score was 20 in Chemistry and Maximum was 43 in physics.

Average marks scored by Eena was 36.6 . Her minimum score

was 24 in Maths and Maximum was 43 in Chemistry.

Maximum marks in Chemistry and Math were scored by Anjali

who scored 44 in Chemistry and 43 in Math.

In computers Maximum were scored by Eena who scored 41

and minimum by Bhanu who scored 26.

In Biology Minimum were scored by Dushant who scored 28.

Bhanu and Eena scored same in biology.

The average marks scored in Physics, Chemistry, Maths,

Computer and Biology were 32.6,34.8,35.8,33.0 and 37.4

respectively.

Q1. Who scored maximum in Physics and how much?

Q2. Who scored minimum in Chemistry and how much ?

Q3. Who scored minimum in Maths and how much ?

Q4. Who scored maximum in Biology and how much?

Q5. How much did Anjali score in Computers ?

Q6. How much did Bhanu score in Chemistry ?

Q7. How much did Chandra score in Maths ?

Q8. How much did Bhanu and Eena score in Biology ?

Q9. If 27 is the passing marks, who failed in maximum subjects

?

Q10 If 40 and above is a distinction holder, who had maximum

distinctions?

Q11. Two trains, 396 and 264 meters long take 22 seconds to

cross each other while travelling in the same direction and take

only 10 seconds when they cross in opposite directions. What

are the speeds at which the trains are travelling?

Q12. There are two trains one of which is 528 meters long

travelling at 52 metres/ sec. They take 33 seconds to cross each

other while travelling in the same direction and take 11 seconds

when they cross in opposite directions. What is the speed and

length of the second train ?

Q13. There are two trains, one of which is 256 meters long and

travelling at 39 mt/sec and the other one is 224 metres long

travelling at 9 metres/ sec. How long will it take to cross each

other while travelling in the same direction and when they cross

in opposite directions.

Q14. There are two trains whose combined length is 400 and

the difference between their length is 200. They take 20 seconds

to cross each other while travelling in the same direction and

take 10 seconds when they cross in opposite directions.

What are the length of the two trains ?

What are the speeds at which the trains are travelling?

Q15. There are two trains one of which is 250 meters long

travelling at 39 metres/ sec. They take 25 seconds to cross each

other while travelling in the same direction and take 5 seconds

when they cross in opposite directions. What is the speed and

length of the second train ?

Q16. There are two trains, one of which is 275 meters long and

travelling at 54 mt/sec and the other one is 175 metres long

travelling at 36 metres/ sec. How long will it take to cross each

other while travelling in the same direction and when they cross

in opposite directions.

MATCH THE WORDS IN SET A WITH THEIR MEANINGS IN SET

B

SET A :

Q17. Desecrate, Q18. Impermeable, Q19. Reprieve, Q20.

Guile, Q21. Cognate, Q22. Insolent,

SET B :

A. Deceitful or cunning

B. Asking for too much, like too many holidays.

C. A temporary stay on punishment

D. Showing lack of respect

E. To be happy as you are getting home leave after long time

F. To confirm your air ticket with travel agent.

G. To Fly back home.

H. Not permitting passage of liquid or gas.

I. To be sad as your home leave is about to be over.

J. Allied by blood, or having same origin.

K. Profane

L. To be happy with the current status.

M. To cook food.

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ANSWERS :

Q1. Dushant , 43

Q2. Chandra, 28

Q3. Eena, 24

Q4. Anjali , 46

Q5. 38

Q6. 39

Q7. 36

Q8. 38 each

Q9. Bhanu failed in Phy and Computers.

Q10 Anjali , distinction in Chemistry, maths and Biology.

Ans. 11 : 48 m/s and 18 m/s

Ans 12 : 26 m/s and 330 m

Ans 13 : 16 sec and 10 sec

Ans 14 : Length 300 and 100 and Speed 30 m/s and 10 m/s

Ans 15 : 75 M at 26 m /s

Ans 16 : 25 and 5

Q17= K, Q18= H, Q19=C, Q20=A, Q21= J, Q22= D.

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SOULUTIONS:

Q1 to 10 :

First get the total marks scored by each student and the total

marks scored by the the five in each subject from the average

marks given. Total score = average *5 so we have

Anjali = 196

Bhanu = 168

Chandra = 162

Dushant = 159

Eena = 183

Physics total = 163

Chemistry Total = 174

Maths Total = 179

Computers Total= 165

Biology Total = 187

Now draw a table with names in row and subjects in column and

fill the given data :

Phy Chem Math Computer Biology Total

Anjali 25 44 43 ? 46 196

Bhanu 24 ? 41 26 ? 168

Chandra ? ? ? 27 37 162

Dushant 43 20 ? ? 28 159

Eena ? 43 24 41 ? 183

Total 163 174 179 165 187

Now first get the score of Anjali in computers as all the

remaining score are available and total is also known.

Then score of Dushant in computers as we have the total marks

scored in Computers and we have the the marks scored by

everyone except Dushant.

Similarly the remain can be solved.

In Biology Bhannu and Eena scored same so we put each

marks as X then we have 46 +X+37+28+X=187 and thus get their

score. Finally we get :

Phy Chem Math Computer Biology Total

Anjali 25 44 43 38 46 196

Bhanu 24 39 41 26 38 168

Chandra 34 28 36 27 37 162

Dushant 43 20 35 33 28 159

Eena 37 43 24 41 38 183

Total 163 174 179 165 187

ANS 11 to 16 can be solved using following shortcut :

Let Total Length of two trains = D

Let Time taken to cross in opposite direction = T1

Let Time taken to cross in same direction = T2

then S1= | (D/T1) + (D/T2) | / 2

and S2= | (D/T1) – (D/T2) | / 2

SI = Speed of first train and S2= speed of second train.

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Q1 From a circle of radius 17 cms, 2 circles of radius 8 cms, 1

circle of radius 3 cms and 1 circle of radius 4 cms are cut.

a. What is the ratio of the uncut to the cut portion ?

b. What is the ratio of the total cut portion to the area of the

original circle ?

c. What is the ratio of the uncut portion to the area of the original

circle?

Q2. From a circle of radius 16 cms, 3 circles of radius 7 cms, 1

circle of radius 4 cms and 1 circle of radius 3 cms are cut. What

is the ratio of the uncut to the cut portion ?

Q3. From a circle of radius 15 cms, 2 circles of radius 5 cms, 1

circle of radius 6 cms and 1 circle of radius 11 cms are cut.

What is the ratio of the uncut to the cut portion ?

Q4. From a circle of radius 14 cms, 5 circles of radius 4 cms, 1

circle of radius 7 cms and 1 circle of radius 5 cms are cut. What

is the ratio of the uncut to the cut portion ?

Q5. From a circle of radius 13 cms, 3 circles of radius 5 cms, 1

circle of radius 3 cms and 1 circle of radius 4 cms are cut. What

is the ratio of the uncut to the cut portion ?

Q6. From a circle of radius 12 cms, 3 circles of radius 4 cms, 2

circle of radius 3 cms and 2 circle of radius 2 cms are cut. What

is the ratio of the uncut to the cut portion ?

Q7. From a circle of radius 11 cms, 2 circles of radius 5 cms, 1

circle of radius 4 cms and 1 circle of radius 2 cms are cut. What

is the ratio of the uncut to the cut portion ?

Q8. From a circle of radius 10 cms, 2 circles of radius 5 cms, 1

circle of radius 1 cms and 1 circle of radius 4 cms are cut. What

is the ratio of the uncut to the cut portion ?

Q9. From a circle of radius 9 cms, 2 circles of radius 3 cms, 1

circle of radius 5 cms and 1 circle of radius 1 cms are cut. What

is the ratio of the uncut to the cut portion ?

Q10. From a square of side 52 cms, 3 circles of radius 7 cms, 1

circle of radius 14 cms and 1 circle of radius 21 cms are cut.

What is the ratio of the uncut to the cut portion ?

Q11. From a square of side 84 cms, 1 circles of radius 7 cms, 1

circle of radius 28 cms and 1 circle of radius 35 cms are cut.

What is the ratio of the uncut to the cut portion ?

Q12. From a square of side 20 cms, 2 squares of side 7 cms, 3

squares of side 6 cms each and 5 squares of side 4 cms are

cut. What is the ratio of the uncut to the cut portion ?

Q13. From a square of side 26 cms, 2 squares of side 6 cms

each, 3 squares of side 11 cms each and 6 squares of side 3

cms are cut. What is the ratio of the uncut to the cut portion ?

Q14. From a square of side 28 cms, 2 squares of side 17 cms

each, 3 squares of side 3 cms each and 7 squares of side 3

cms each are cut. What is the ratio of the uncut to the cut

portion?

Q15. From a square of side 29 cms, 2 squares of side 11 cms

each, 3 squares of side 9 cms each and 4 squares of side 3

cms each are cut. What is the ratio of the uncut to the cut

portion?

Q16. From a square of side 30 cms, 2 squares of side 12 cms,

2 squares of side 8 cms each and 3 squares of side 5 cms each

are cut. What is the ratio of the uncut to the cut portion ?

Q17. From a square of side 31 cms, 3 squares of side 11 cms

each, 3 squares of side 7 cms each and 5 squares of side 2

cms each are cut. What is the ratio of the uncut to the cut

portion?

Q18. From a square of side 19 cms, 1 squares of side 11 cms,

2 squares of side 4 cms each and 4 squares of side 3 cms

each are cut. What is the ratio of the uncut to the cut portion ?

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MATCH THE WORDS IN SET A WITH THEIR MEANINGS IN SET

B

SET A : Q19. Incarnadine, Q20. Vainglorious, Q21. Resurgent,

Q22.Curtsy, Q23.Deprecate, Q24. Revere,

SET B :

A. To regard somebody with deep respect.

B. Boastful and proud

C. A down to earth person.

D. Bending the knees with one foot behind the other as a

guesture of respect.

E. Obliterate

F. Can be easily broken.

G. To reduce the value of something.

H. To condemn something with hope for the opposite.

I. Along the sides of river.

J. To rise or become strong again.

K. To have a long holiday or to be absent for a long duration.

L. Crimson or blood-color

M. Likely to happen

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ANSWERS

(Ans1 a= 8:9, b=9:17, c=8:17 ), (Ans2 = 21:43), (Ans3=2:23),

(Ans4=3:11), (Ans5=69:100), (Ans6=35:37), (Ans7=

51:70),(Ans8=33:67), (Ans9=37:44), (Ans10=15:154), (Ans11=

1:11), (Ans12= 57:143), (Ans13= 187:489), (Ans14= 29:167 ),

(Ans15= 320:521), (Ans16= 409:491), (Ans17= 431:530),

(Ans18= 172:189) , (Ans19=L), (Ans20=B),(Ans21=J), (Ans22=

D), (Ans23=H),(Ans24=A).

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SOLUTIONS:

Ans1 Area of the original Circle = Pi*17*17= 289Pi

Area of two circles with radius 8 = 2*Pi*8*8= 128Pi

Area of circle with radius 3cms= Pi*3*3=9Pi

Are of circle with radius 4 cms= 16Pi

Total Area Cut= 153 Pi

Total Balance area= 289Pi-153pi= 136Pi

So a. = 136Pi:153Pi ==>8:9

b= 153Pi: 289Pi==> 9:17

c. 136pi:289 Pi==> 8:17

Ans 10. Area of square = 52*52=2704

Area of 3 circles of 7 cms radius= 22*3*7*7/7= 462

Area of 1 circle of radius 14 cms= 22*14*14/7= 616

Area of 1 circle with radius 21= 22*21*21/7= 1386

Total Area Cut= 2464

Balance area= 240

Ratio of uncut to cut ==> 240:2464==> 15:54

Ans 17. Area of square = 961

Area of 3 square of side 11= 3*11*11= 363

Area of 3 squares of 7 cms side= 3*7*7= 147

Are of 5 squares of 2cms each = 5*2*2= 20

Total area cut= 530

Balance area= 431

So the ratio = 431:530

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Here are the questions :

Q1. A merchant bought 98 units of a commodity X for 3,567. He

sold a part of it Rs 45 per unit and balance at Rs. 47 per unit. In

total he had a profit of Rs 965. How many units were sold for Rs

45 each ?

Q2. A merchant bought 99 units of a commodity X for 3,333. He

sold a part of it Rs 37 per unit and balance at Rs. 39 per unit. In

total he had a profit of Rs 432. How many units were sold for Rs

37 each ?

Q3. A merchant bought 130 units of a commodity X for 5,999. He

sold a part of it Rs 43 per unit and balance at Rs. 47 per unit. In

total he had a loss of Rs 125. How many units were sold for Rs

43 each ?

Q4. A merchant bought 116 units of a commodity X for 4,888. He

sold a part of it Rs 41 per unit and balance at Rs. 37 per unit. In

total he had a loss of Rs. 440. How many units were sold for Rs

41 each ?

Q5. A merchant bought 199 units of a commodity X for 7,227. He

sold a part of it Rs 39 per unit and balance at Rs.33 per unit. In

total he had a profit of Rs 60. How many units were sold for Rs

39 each ?

Q6. A merchant bought 314 units of a commodity X for 11,111.

He sold a part of it Rs 38 per unit and balance at Rs. 42 per unit.

In total he had a profit of Rs 1,145. How many units were sold for

Rs 38 each ?

Q7. A merchant bought 149 units of a commodity X for 4,750. He

sold a part of it Rs 33 per unit and balance at Rs. 31 per unit. In

total he had a profit of Rs 91. How many units were sold for Rs

33 each ?

Q8. A merchant bought 196 units of a commodity X for 13,333.

He sold a part of it Rs 67 per unit and balance at Rs. 69 per unit.

In total he had a loss of Rs 55. How many units were sold for Rs

67 each ?

Q9. A merchant bought 285 units of a commodity X for 11,000.

He sold a part of it Rs 41 per unit and balance at Rs. 40 per unit.

In total he had a profit of Rs 634. How many units were sold for

Rs 41 each ?

Q10. A merchant bought 168 units of a commodity X for 7,600.

He sold a part of it Rs 49 per unit and balance at Rs. 50 per unit.

In total he had a profit of Rs 671. How many units were sold for

Rs 45 each ?

Q11. A merchant bought 266 units of a commodity X for 12,222.

He sold a part of it Rs 41 per unit and balance at Rs. 51 per unit.

In total he had a loss of Rs 26. How many units were sold for Rs

41 each ?

Q12. There are 350 men and 92 boys in a camp with a ration

enough to last for 24 days. Each man consumes 2 times ration

compared to each boy. How long would the ration last if there are

22 men and 28 boys more in the camp?

Q13. There are 28 men and 120 boys in a camp with a ration

enough to last for 42 days. Each man consumes 4 times ration

compared to each boy. How long would the ration last if there are

22 men and 28 boys more in the camp?

Q14. There are 340 men and 92 boys in a camp with a ration

enough to last for 35 days. Each man consumes 4 times ration

compared to each boy. How long would the ration last if there are

24 men more and 8 boys less in the camp?

Q15. There are 275 men and 183 boys in a camp with a ration

enough to last for 66 days. Each man consumes 3 times ration

compared to each boy. How long would the ration last if there are

18 men more and 6 boys less in the camp?

Q16. There are 46 men and 156 boys in a camp with a ration

enough to last for 66 days. Each man consumes 3 times ration

compared to each boy. How long would the ration last if there are

36 men more and 6 boys less in the camp?

Q17. There are 126 men and 38 boys in a camp with a ration

enough to last for 43 days. Each man consumes 2 times ration

compared to each boy. How long would the ration last if there are

58 men and 24 boys more in the camp?

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MATCH THE WORDS IN SET A WITH THEIR MEANINGS IN SET

B

SET A: Q18. Requite, Q19. Emulate, Q20. Provender, Q21.

Vaudeville, Q22.Ruffian,

SET B:

A. To steal money.

B. To make somebody quite by praising him or her.

C. A person who has been accused of crime that he has not

committed.

D. Expensive food having lot of vitamins and minerals.

E. To participate in sports activity

G. A violent or cruel fellow , member of a criminal gang.

H. A variety show with plays, songs etc.

I. To make someone feel sorry.

J. Food for cattle

K. To imitate.

L. To return in kind , revenge

M. To help a person when it is not required and to not help him/

her when it is required.

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ANSWERS :

Ans1.=37, Ans2.=48, Ans3.=59, Ans4.=39, Ans5.=120, Ans6.=

233, Ans7.=111, Ans8.=123, Ans.9=234, Ans10=129, Ans11=

137, Ans12=22, Ans13=28, Ans14=33, Ans15=63, Ans16=

49,Ans17=29, Ans18=L, Ans19=K, Ans20=J, Ans.21=H, Ans22=

G,

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SOLUTIONS :

Ans1. Selling price of 98 units C.P+ Profit= 4532

Let the qty sold for 45 per unit be X

so the qty sold for 47 per unit= 98-x

45X+ 47(98-X)= 4532

45X-47X-4606=4532

2X=74 or X= 37

ANS 15 As 1 man = 3 boys,

275 men= 275 *3 boy = 825 boys

So total boys initially = 825+183= 1008

Let each boy consume x quantity each day, so the quantity in

stock = 1008*66*X

Now 18 men are added and 6 boys are reduced or18*3-6=48

boys are added

so new number of boys = 1008+48=1056 who will consume

1056X quantity each day.

so the number of days the stock will last = 1008*66*X/1056X =

63 days.

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Hi,

Another 24 questions for you to solve in 20 minutes. Happy

Solving. The answers and the method to solve the questions are

at the end of the message.

Q. 1 What is the highest power of 2 in factorial 251 ?

Q. 2 What is the highest power of 3 in factorial 1,450 ?

Q. 3 What is the highest power of 4 in factorial 5,002 ?

Q. 4 What is the highest power of 5 in factorial 4,001 ?

Q. 5 What is the highest power of 6 in factorial 8,000 ?

Q. 6 What is the highest power of 7 in factorial 6,000 ?

Q. 7 What is the highest power of 8 in factorial 4,500 ?

Q. 8 What is the highest power of 9 in factorial 6,700 ?

Q. 9 What is the highest power of 10 in factorial 15,000 ?

Q. 10 What is the highest power of 11 in factorial 14,790 ?

Q. 11 What is the highest power of 12 in factorial 4,560 ?

Q. 12 What is the highest power of 13 in factorial 3,500 ?

Q. 13 What is the highest power of 14 in factorial 5,500 ?

Q. 14 What is the highest power of 15 in factorial 6,750 ?

Q. 15 What is the highest power of 16 in factorial 5,575 ?

Q. 16 What is the highest power of 17 in factorial 12,500 ?

Q. 17 What is the highest power of 18 in factorial 9,500 ?

Q. 18 What is the highest power of 19 in factorial 7,770 ?

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MATCH THE WORDS IN SET A WITH THEIR MEANINGS IN SET

B

SET A

Q19. Corpulent, Q20. Indescribable, Q21. Propensity, Q22.

Deleterious, Q23. Inoculum, Q24. Blandishment,

SET B

A. Harmful

B. To make void the authority or validity of something.

C. Urging or demanding in troublesome manner.

D. Flattery

E. Substance injected into somebody to create resistance to a

disease.

F. Reduce the strength , weaken.

G. To collect information from different sources.

H. Natural inclination or liking

I. Very skinny.

J. Helpful.

K. Very fat

L. To travel.

M. Impossible to describe.

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ANSWERS :

Q.1= 244, Q. 2 = 720, Q. 3= 1664, Q. 4=999, Q. 5= 1599, Q.6 =

998, Q. 7 = 641, Q. 8= 836, Q. 9= 1666, Q. 10= 1478, Q. 11= 413,

Q. 12= 290, Q. 13 = 422, Q. 14=482, Q. 15=370, Q. 16= 780, Q.

17= 557, Q. 18 = 430, Q.19= K, Q.20= M, Q.21= H, Q.22= A,

Q.23= E, Q24= D

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SOLUTIONS:

Ans 4 :

5^1=5

5^2=25

5^3=125

5^4=625

5^5=3125

Factorial 4001 = 4001* 4000 * 3999 * 3998 * 3997 * ………… 1.

Between 1 to 4000 are are number which are divisible by

5,25,125,625,3125

Number of numbers in range (1 to 4001) divisible :

a. by 5 are Truncate( 4001/5)= 800

b. by 25 are Truncate( 4001/25)= 160

c. by 125 are Truncate( 4001/125)= 32

d. by 625 are Truncate( 4001/625)= 6

e. by 3125 are Truncate( 4001/3125)= 1

So the highest power of 5 in factorial 4,001 is (a+b+c+d+e) 800+

160+32+6+1= 999

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