**Instructions for ****Aptitude Contest**** – AUGUST 2018****:**

- You can select only one option at a time.
- You can take the QUIZ multiple times.
- Each question will carry 100 points.
- There are altogether 50 questions.
- After finishing the test, you will get a score message as shown below.
- If you score more than 90% you will get a unique code and email id along with the score message.
- Take the screenshot of the entire page containing the message along with the unique code generated.
- Lucky winners will get
**exciting goodies/gift**from JUMPWHERE. The final decision will be taken by JUMPWHERE TEAM itself. - This contest is available only till 25-Aug-2018 12:00 PM.
- Don’t forget to Like and Follow us on facebook for all the updates.

** Aptitude Contest**** – AUGUST 2018:**

## Quiz Contest 1 - August 2018

Start

Congratulations - you have completed

*Quiz Contest 1 - August 2018*. You scored %%SCORE%% out of %%TOTAL%%. %%RATING%%
Your answers are highlighted below.

Question 1 |

**Statement:**

**A large number of people in ward X of the city are diagnosed to be suffering from a fatal malaria type.**

**Courses of Action:**I) The city municipal authority should take immediate steps to carry out extensive fumigation in ward X. II) The people in the area should be advised to take steps to avoid mosquito bites.

A | Neither I nor II follows |

B | Both I and II follow |

C | Either I or II follows |

D | Only I follows |

E | Only II follows |

Question 1 Explanation:

Clearly, prevention from mosquitoes and elimination of mosquitoes are two ways to prevent malaria.

So, both the courses follow.

So, both the courses follow.

Question 2 |

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is?

A | 66 km/hr |

B | 54 km/hr |

C | 48 km/hr |

D | 82 km/hr |

Question 2 Explanation:

Let the speed of the second train be xkm/hr

Relative speed = (x + 50) km/hr

= [(x + 50) * 5 / 18] m/sec

=[(250 + 5x) / 18] m/sec

Distance covered = (108 + 112) = 220 m

Therefore, (250 + 5x) / 18 = 6

250 + 5x = 660 x = 82 km/hr

Relative speed = (x + 50) km/hr

= [(x + 50) * 5 / 18] m/sec

=[(250 + 5x) / 18] m/sec

Distance covered = (108 + 112) = 220 m

Therefore, (250 + 5x) / 18 = 6

250 + 5x = 660 x = 82 km/hr

Question 3 |

**A. This is because your witness will be called upon to testify in court if the will is ever challenged. B. Lawyers advise people to use witnesses who are younger than they and are likely to outlive them. C. You will need to sign the document in the presence of two witnesses, who will then have to put the signature on it. D. It helps if a doctor is a witness or the document is signed in his presence.**

*S1. You can make a will*as simple as you want.**S6. This is because he could be called upon to testify to the stability of your mental condition when you drew up the will.**

A | ABCD |

B | CDBA |

C | CBAD |

D | DCBA |

Question 3 Explanation:

The proper order for the four sentences is CBAD

Question 4 |

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is?

A | 54 km/hr |

B | 66 km/hr |

C | 82 km/hr |

D | 48 km/hr |

Question 4 Explanation:

Let the speed of the second train be xkm/hr

Relative speed = (x + 50) km/hr

= [(x + 50) * 5 / 18] m/sec

=[(250 + 5x) / 18] m/sec

Distance covered = (108 + 112) = 220 m

Therefore, (250 + 5x) / 18 = 6

250 + 5x = 660 x = 82 km/hr

Relative speed = (x + 50) km/hr

= [(x + 50) * 5 / 18] m/sec

=[(250 + 5x) / 18] m/sec

Distance covered = (108 + 112) = 220 m

Therefore, (250 + 5x) / 18 = 6

250 + 5x = 660 x = 82 km/hr

Question 5 |

Having sold off his factory,

*he is now a gentleman at large*.A | Is living comfortably |

B | Is respected by everybody |

C | Has no serious occupation |

D | Is held in high esteem |

Question 6 |

Sachin was twice as old as ajay, 10 years back. How old is ajay today, if sachin will be 40 years old, 10 years hence?

A | 25 |

B | 20 |

C | 18 |

D | 15 |

Question 6 Explanation:

S+10 = 40

S = 30

S - 10 = 2(A - 10)

A = 20

S = 30

S - 10 = 2(A - 10)

A = 20

Question 7 |

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A | 86400 |

B | 5040 |

C | 266 |

D | 11760 |

Question 7 Explanation:

Required number of ways:

= (8C5 X 10C6)

= {(8*7*6/3*2*1)*(10*9*8*7/4*3*2*1)}

= 11760

= (8C5 X 10C6)

= {(8*7*6/3*2*1)*(10*9*8*7/4*3*2*1)}

= 11760

Question 8 |

**Statements:**Some dogs are bats. Some bats are cats.

**Conclusions:**I) Some dogs are cats. II) Some cats are dogs.

A | Only (2) conclusion follows |

B | Neither (1) nor (2) follows |

C | Only (1) conclusion follows |

D | Either (1) or (2) follows |

Question 9 |

A money lender lent Rs. 1000 at 3% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years ?

A | 4 |

B | 3.5 |

C | 4.5 |

D | 3.75 |

Question 9 Explanation:

(1000 * t * 3 / 100) + (1400 * t * 5 / 100)

= 350 => t =3.5

= 350 => t =3.5

Question 10 |

Find next number of the following sequence 124, 62, 60, 30, 28, 14...?

A | 12 |

B | 7 |

C | 8 |

D | 13 |

Question 10 Explanation:

To find the next sequence

=> 124/2 = 62 & 62 - 2 = 60

=> 60/2=30 & 30 - 2 =28

=> 28/2=14 & 14 - 2 =12

=> 124/2 = 62 & 62 - 2 = 60

=> 60/2=30 & 30 - 2 =28

=> 28/2=14 & 14 - 2 =12

Question 11 |

Bid defiance?

A | None of above |

B | To follow |

C | To ignore |

D | To obey |

Question 11 Explanation:

Example : His girl friend bade defiance to his wish to go for movie and instead they went for lunch in hotel

Question 12 |

He said to the interviewer, “Could you please repeat the question?”

A | He requested the interviewer if he could please repeat the question |

B | He requested the interviewer to repeat the question |

C | He requested the interviewer if he could repeat the question |

D | He requested the interviewer to please repeat the question |

Question 13 |

**Statement**: Shalini made an application to the bank for a loan of Rs. 1,80,000 by mortgaging her house to the bank and promised to repay it within five years.

**Assumptions**I) The bank has a practice of granting loans for Rs. 1,00,000 and above. II) The bank accepts house as collateral security against such loans.

A | Neither I nor II is implicit |

B | Either I or II is implicit |

C | Only assumption I is implicit |

D | Both I and II are implicit |

E | Only assumption II is implicit |

Question 13 Explanation:

The fact that Shalini has applied for a loan of Rs. 1,80,000 implies that the bank can grant a loan above Rs. 1,00,000.

So, I is implicit. II also follows directly from the statement and so is implicit.

So, I is implicit. II also follows directly from the statement and so is implicit.

Question 14 |

**Statements:**I) Standard of living among the middle class society is constantly going up since part of few years II) Indian Economy is observing remarkable growth

A | Statement I is the cause and statement II is its effect |

B | Both the statements I and II are effects of independent cause |

C | Statement II is the cause and statement I is its effect |

D | Both the statements I and II are effects of some common cause |

Question 14 Explanation:

Since the standard of living among the middle class society is constantly going up so Indian Economy is observing remarkable growth

Question 15 |

Sagar was riding bike towards north, turned left and road 1km. then turn towards left & road 2km, found himself 1km west of straight point. How far is he to road north?

A | 4 km |

B | 2 km |

C | 3 km |

D | 1 km |

Question 15 Explanation:

He traveled total distance of 3km, from which he traveled 1km in west

Hence, all he travelled total 2km in north

Hence, all he travelled total 2km in north

Question 16 |

The size of a wooden block is 1*5*10 cm

^{3}. Find the number of blocks needed to construct a wooden cube of side 50cm.A | 2500 |

B | 100 |

C | 500 |

D | 50 |

Question 16 Explanation:

No. of blocks needed = (50*50*50) / (1*5*10) = 2500

Question 17 |

By next month, Ms. Jones

**will be Mayor of Tallahassee**for two years.A | will have been mayor of Tallahassee |

B | will have been Mayor of Tallahassee |

C | could have been mayor of Tallahassee |

D | will be Mayor of Tallahassee |

E | will be mayor of Tallahassee |

Question 17 Explanation:

"By next month" used together with "for two years" indicates something that will be completed in the future, so future perfect "will have been" is the correct tense.

"Will be" [(A), (C)] means she will be mayor for two years beginning in the future.

Moreover, "Mayor" [(A), (B)] is incorrectly capitalized: it is not used as a title/name here (like "Mayor Jones"). "Could have been" (E) changes the meaning.

"Will be" [(A), (C)] means she will be mayor for two years beginning in the future.

Moreover, "Mayor" [(A), (B)] is incorrectly capitalized: it is not used as a title/name here (like "Mayor Jones"). "Could have been" (E) changes the meaning.

Question 18 |

STRINGENT

A | Magnanimous |

B | General |

C | Lenient |

D | Vehement |

Question 18 Explanation:

STRINGENT means strict, precise, and exacting.

Question 19 |

Which of the following fractions is greater than 3/4 and less than 5/6 ?

A | 4/5 |

B | 9/10 |

C | 1/2 |

D | 2/3 |

Question 19 Explanation:

3/4 = 0.75, 5/6 = 0.833, 1/2 = 0.5, 2/3 = 0.66, 4/5 = 0.8, 9/10 = 0.9

Clearly, 0.8 lies between 0.75 and 0.833

Therefore 4/5 lies between 3/4 and 5/6

Clearly, 0.8 lies between 0.75 and 0.833

Therefore 4/5 lies between 3/4 and 5/6

Question 20 |

The ratio of Cost price and Selling price is 4 : 5. The profit percent is ?

A | 10 |

B | 30 |

C | 25 |

D | 20 |

Question 20 Explanation:

1/30th of the tank is filled by pipe B in 1 minutes

1/60th of the tank is emptied by pipe C in 1 minutes

Part of tank filled in the first 6 minutes = 6*[(1/20)+(1/30)] = ½

When all pipes are opened, part of tank filled in 1 minutes = (1/12)-(1/60) = 1/15

Time required to fill the remaining ½ of the tank = (1/2) / (1/15) = 7.5

Total time = 6+7.5 = 13.5 minutes

1/60th of the tank is emptied by pipe C in 1 minutes

Part of tank filled in the first 6 minutes = 6*[(1/20)+(1/30)] = ½

When all pipes are opened, part of tank filled in 1 minutes = (1/12)-(1/60) = 1/15

Time required to fill the remaining ½ of the tank = (1/2) / (1/15) = 7.5

Total time = 6+7.5 = 13.5 minutes

Question 21 |

I) All Lamels are Signots with buttons.
II) No yellow Signots have buttons.
III) No Lamels are yellow.
If the first two statements are true, the third statement is

A | True |

B | Uncertain |

C | False |

Question 21 Explanation:

We know that there are Signots with buttons, or Lamels, and that there are yellow Signots, which have no buttons.

Therefore, Lamels do not have buttons and cannot be yellow

Therefore, Lamels do not have buttons and cannot be yellow

Question 22 |

Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is ?

A | 16:5 |

B | 16:7 |

C | 19:5 |

D | 14:5 |

Question 22 Explanation:

Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres

Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres

Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4 = 4.75 litres

As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed = 4.75 : 1.25 = 19 : 5

Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres

Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4 = 4.75 litres

As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed = 4.75 : 1.25 = 19 : 5

Question 23 |

A particular letter stands for another letter in letter coding

A | HFDU |

B | UDHF |

C | UCFH |

D | UDFG |

Question 23 Explanation:

In the given code, each letter is moved three steps forward than the corresponding letter in the word. So R is coded as U, A as D, C as F, E as H. Hence (3) is the answer.t

Question 24 |

If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

A | 80 hours |

B | 70 hours |

C | 20 hours |

D | 60 hours |

Question 24 Explanation:

Let the required number of hours be x.

Less man, more hours (indirect proportion)

15:36:: 25: x

15 * x = 36 * 25

X= (36 *25) / 15 = 60 hours

Hence 15 men’s can do it in 60 hours

Less man, more hours (indirect proportion)

15:36:: 25: x

15 * x = 36 * 25

X= (36 *25) / 15 = 60 hours

Hence 15 men’s can do it in 60 hours

Question 25 |

120, 99, 80, 63, 48, ?

A | 39 |

B | 38 |

C | 35 |

D | 40 |

Question 25 Explanation:

The pattern is - 21, - 19, - 17, - 15,.....

So, missing term = 48 - 13 = 35.

So, missing term = 48 - 13 = 35.

Question 26 |

candle | lamp | floodlight |

hut | cottage | ? |

A | city |

B | house |

C | tent |

D | dwelling |

Question 26 Explanation:

Above the line, the relationship shows a progression of sources of light.

The relationship below the line shows a progression of types of housing, from smallest to largest. (Choice a) is incorrect because a tent is smaller than a house.

Choices b and c are wrong because they are not part of the progression.

The relationship below the line shows a progression of types of housing, from smallest to largest. (Choice a) is incorrect because a tent is smaller than a house.

Choices b and c are wrong because they are not part of the progression.

Question 27 |

UNCOUTH

A | Ungraceful |

B | Dirty |

C | Rough |

D | Slovenly |

Question 27 Explanation:

UNCOUTH means lacking good manners, refinement, or grace.

Question 28 |

To issue a thunderous verbal attack?

A | Invigorate |

B | Languish |

C | Fulminate |

D | Animate |

Question 28 Explanation:

Fulminate means expressing vehement protest.

Question 29 |

Four girls are sitting on a bench to be photographed. Shikha is sitting to the left of Reena. Manju is to the right of Reena. Rita is between Reena and Manju. Who would be second from the left in the photograph?

A | Shikha |

B | Rita |

C | Reena |

D | Manju |

Question 29 Explanation:

Shikha is to the left of Reena and Manju is to her right.

Rita is between Reena and Manju.

So the order is Shikha ,

Reena , Rita and Manju. In the photograph Rita will be second from left.

Rita is between Reena and Manju.

So the order is Shikha ,

Reena , Rita and Manju. In the photograph Rita will be second from left.

Question 30 |

**Statement**: Company X has marketed the product. Go ahead; purchase it if price and quality are your considerations.

**Conclusions :**

##### I. The product must be good in quality.

##### II. The price of product must be reasonable

A | Both I and II follow |

B | Only conclusion II follows |

C | Either I or II follows |

D | Neither I nor II follows |

E | Either conclusion II follows |

F | Only conclusion I follows |

Question 30 Explanation:

Both conclusions follow as per statement

Question 31 |

Find the odd man out 3, 5, 11, 14, 17, 21 ?

A | 3 |

B | 14 |

C | 21 |

D | 17 |

Question 31 Explanation:

Each of the numbers except 14 is an odd number. The number ’14’ is the only EVEN number

Question 32 |

Find the next number 2, 7, 28, 63, 12, __?

A | 225 |

B | 217 |

C | 196 |

D | 215 |

Question 32 Explanation:

1 cube+1 = 2

2 cube-1 = 7

3 cube+1 = 28

4 cube-1 = 63

5 cube+1 = 126

6 cube-1 = 215

2 cube-1 = 7

3 cube+1 = 28

4 cube-1 = 63

5 cube+1 = 126

6 cube-1 = 215

Question 33 |

RETICENT : TALK :: ?

A | likely : conjecture |

B | tasteless : savor |

C | abstemious : devour |

D | cranky : grumble |

Question 33 Explanation:

(ANTONYM VARIANT) A reticent (meaning reserved in style) person does not talk; an abstemious (meaning given to eating in moderation) person-does not devour (meaning eat like a glutton).

(A) {The related antonym relationship is;reticent: talkative :: abstemious : devour}

(A) {The related antonym relationship is;reticent: talkative :: abstemious : devour}

Question 34 |

Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'E'. (Ignore the errors of punctuation, if any).
(solve as per the direction given above)

A | No mistake |

B | No error |

C | The minister's speech |

D | Has been reported |

E | To the newspaper |

Question 34 Explanation:

In the newspaper

Question 35 |

1.was 2.and 3.Suresh 4.kind 5.loving

A | 54213 |

B | 12345 |

C | 34251 |

D | 31425 |

E | 15243 |

Question 35 Explanation:

Explanation : " Suresh was kind and loving "

Question 36 |

A, B and C invest Rs. 50000, Rs. 30000 and Rs. 20000 in a business respectively. If the profit earned is Rs. 20000, find C's share of the profit?

A | Rs. 6000 |

B | Rs. 2000 |

C | Rs. 10000 |

D | Rs. 4000 |

Question 36 Explanation:

Share of profits between A,B and C is in the ratio 5:3:2

C’s share = (2/10)*20000 = Rs.4000

C’s share = (2/10)*20000 = Rs.4000

Question 37 |

A teacher can divide her class into groups of 5, 13 and 17. What is the smallest possible strength of the class?

A | 1105 |

B | 835 |

C | 940 |

D | 1220 |

Question 37 Explanation:

Smallest possible strength of the class will be L.C.M of 5,13,17 ans:1105

Question 38 |

**Statement:**Should the railways immediately stop issuing free passes to all its employees?

**Arguments:**

##### I. No. The employees have the right to travel free.

##### II. Yes. This will help railways to provide better facility.

A | Only argument II is strong |

B | Neither I nor II is strong |

C | Either I or II is strong |

D | Both I and II are strong |

E | Only argument I is strong |

Question 38 Explanation:

The free passes given to railway employees is a privilege for them, not their right.

So, argument I does not hold. Argument II seems to be vague.

So, argument I does not hold. Argument II seems to be vague.

Question 39 |

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A | 150 meters |

B | 180 meters |

C | 120 meters |

D | 324 meters |

Question 39 Explanation:

Speed = (60 * 5/18) m/sec = (50/3) m/sec

Length of the train = (Speed * Time)

Length of the train = ((50/3) * 9) m = 150 m

Length of the train = (Speed * Time)

Length of the train = ((50/3) * 9) m = 150 m

Question 40 |

To produce an annual income of Rs. 1200 from a 12% stock at 90, the amount of stock needed is ?

A | Rs. 16000 |

B | Rs. 10000 |

C | Rs. 10800 |

D | Rs. 14400 |

Question 40 Explanation:

For an income of Rs.12, stock needed = 100
For an income of Rs. 1200, stock needed = 100 * 1200/12
= 10000

Question 41 |

Pipe A and Pipe B can fill a tank in 20 minutes and 30 minutes respectively. Pipe C can empty the tank in 60 minutes. The tank is initially empty. Both the pipes A and B are opened. Pipe C is opened after 6 minutes. How much time does it take to fill the tank?

A | 12 minutes |

B | 13.5 minutes |

C | 15 minutes |

D | 14.5 minutes |

Question 41 Explanation:

1/30th of the tank is filled by pipe B in 1 minutes

1/60th of the tank is emptied by pipe C in 1 minutes

Part of tank filled in the first 6 minutes = 6*[(1/20)+(1/30)] = ½

When all pipes are opened, part of tank filled in 1 minutes = (1/12)-(1/60) = 1/15

Time required to fill the remaining ½ of the tank = (1/2) / (1/15) = 7.5

Total time = 6+7.5 = 13.5 minutes

1/60th of the tank is emptied by pipe C in 1 minutes

Part of tank filled in the first 6 minutes = 6*[(1/20)+(1/30)] = ½

When all pipes are opened, part of tank filled in 1 minutes = (1/12)-(1/60) = 1/15

Time required to fill the remaining ½ of the tank = (1/2) / (1/15) = 7.5

Total time = 6+7.5 = 13.5 minutes

Question 42 |

A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?

A | 36/135 |

B | 36/145 |

C | 18/145 |

D | 18/29 |

Question 42 Explanation:

The probability that first ball is white:

=

Since, the ball is not replaced; hence the number of balls left in bag is 29

Hence, the probability the second ball is black:

=

Required probability,

= (2 / 5) × (18 / 29)

= 36 / 145

=

^{12}C_{1}/^{30}C_{1}= 12 / 30 = 2 / 5Since, the ball is not replaced; hence the number of balls left in bag is 29

Hence, the probability the second ball is black:

=

^{18}C_{1}/^{29}C_{1 }= 18 / 29Required probability,

= (2 / 5) × (18 / 29)

= 36 / 145

Question 43 |

July 15th of 2012 is Sunday. What day was July 15th of 2008?

A | Monday |

B | Wednesday |

C | Sunday |

D | Tuesday |

Question 43 Explanation:

Number of odd days from 2009 to 2012 = 1+1+1+2 = 5

5 Days before Sunday is Tuesday

5 Days before Sunday is Tuesday

Question 44 |

Which of the following shows the relation that C is the granddaughter of E? The above question is based on the following information:

- M % N means M is the son of N.
- M @ N means M is the sister of N.
- M $ N means M is the father of N.

A | B $ F $ E % C |

B | C % B $ F $ E |

C | C @ B % F % E |

D | E % B $ F $ C |

Question 44 Explanation:

C @ B → C is the sister of B

B % F → B is the son of F

Hence, → C is the daughter of F

F % E → F is the son of E

Hence, → C is the granddaughter of E.

B % F → B is the son of F

Hence, → C is the daughter of F

F % E → F is the son of E

Hence, → C is the granddaughter of E.

Question 45 |

A man can row upstream at a speed of 20 kmph and downstream at a speed of 27 kmph. Find the speed of the stream?

A | 7 kmph |

B | 3.5 kmph |

C | 2.5 kmph |

D | 23.5 kmph |

Question 45 Explanation:

Let the speed of the stream be a kmph and the speed of the boat be b kmph b + s = 27

b - s = 20

Solving the equations, s = 3.5 kmph

b - s = 20

Solving the equations, s = 3.5 kmph

Question 46 |

Study the following figure and answer the question "How many doctors are neither artists nor players"?

A | 17 |

B | 30 |

C | 10 |

D | 5 |

Question 46 Explanation:

The number of doctors who are neither artists nor players is 17r

Question 47 |

Which of the following is the greatest?

A | 3/5 of 25 |

B | 40% of 30 |

C | 6.5% of 200 |

D | five more than the square of 3 |

Question 47 Explanation:

3/5 of 25b=15

40% of 30 = 12

6.5% of 200 = 13

5+9=14

40% of 30 = 12

6.5% of 200 = 13

5+9=14

Question 48 |

Arrange the words given below in a meaningful sequence
1.Presentation 2.Recommendation 3.Arrival 4.Discussion 5.Introduction

A | 3,5,4,2,1 |

B | 5,3,4,1,2 |

C | 5,3,1,2,4 |

D | 3,5,1,4,2 |

Question 48 Explanation:

The correct order is :
Arrival Introduction Presentation Discussion Recommendation

3 5 1 4 2

3 5 1 4 2

Question 49 |

Antique?

A | Precious |

B | Rarest |

C | None of these |

D | Museum |

Question 49 Explanation:

A collectable object such as a piece of furniture or work of art that has a high value because of its age and quality.

Question 50 |

If the area of two circles are in the ratio 169:196 then the ratio of their radii is?

A | 12:13 |

B | 11:12 |

C | 10:11 |

D | 13:14 |

Question 50 Explanation:

If r and R are radii if two circles, then

pi * r^2 /pi * R^2 = 169 / 196

r^2 / R^2 = 169 / 196 = (13/14)^2

so r/R = 13/14t

pi * r^2 /pi * R^2 = 169 / 196

r^2 / R^2 = 169 / 196 = (13/14)^2

so r/R = 13/14t

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