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Q:

What 5 - digit number has the following features :

If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number?

Answer

Let the 5 digit number be represented by abcde.


Then the 6 digit number, 1abcde x 3 = abcde1 (another 6 digit number)


Now let Y = abcde


Then (100000 + Y) x 3 = (Y x 10) + 1


300000 + 3Y = 10Y + 1


7Y = 299999


Y = 299999 ÷ 7 = 42857

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Subject: Math Puzzles

Q:

Replace each letter for a unique digit so that the equation is correct

Answer

(1+9+6+8+3) x (1+9+6+8+3) x (1+9+6+8+3) = 19683

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Subject: Math Puzzles Exam Prep: Bank Exams , AIEEE
Job Role: Bank Clerk

Q:

Kaziranga Wild Life Sanctuary is in the state of :

A) Assam B) Tamil Nadu
C) Bihar D) Kerala
 
Answer & Explanation Answer: A) Assam

Explanation:
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Filed Under: Indian Geography

Q:

The earth is at its maximum distance from the Sun on :

A) January 30th B) December 22nd
C) September 22nd D) July 4th
 
Answer & Explanation Answer: D) July 4th

Explanation:
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Filed Under: World Geography

Q:

How many kilometers and represented by 1oof latitude?

A) 321 km B) 211 km
C) 111 km D) 91 km
 
Answer & Explanation Answer: C) 111 km

Explanation:
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Filed Under: World Geography

Q:

Study the table below to answer these questions.

Rate of Interest, Dividend Payout Ratio and the Retained Earnings of Five Companies

Profit earned is either paid out as dividend or ploughed back in business as retained earnings. Interest is paid on borrowings.

1. By how much do the borrowings of Company B exceed that of Company A ?

1. Rs. 1,210,000      2. Rs.1,320,000      3. Rs.1,000,000      4. Rs.1,100,000



2. By how much does the dividend paid by Company D exceed the dividend paid by Company B ?

1. Rs.23 lakh          2. Rs.32 lakh           3. Rs.320 lakh         4. Rs.230 lakh



3. The profit of E is more/less than that of C by _____ %

1. 33.3% less          2. 33.3% more        3. 25% less            4. 25% more



4. What is the sum of profits made by Companies A and B ?

1. Rs.500 lakh       2. Rs.600 lakh       3. Rs.700 lakh       4. Rs.800 lakh



5. What is the sum of the borrowings of all five companies ?

1. Rs.146 lakh      2. Rs.14.6 lakh      3. Rs.14.6 crore      4. None of these

Answer

1. Answer : 4


Explanation : Let the borrowing of Company A = x


Interest of Company A = 234000


Rate of Interest = 18% 


x×18100=234000     x=1300000


 


Let the borrowing of Company B = y 


Interest of Company B = 576000


Rate of interest = 24%


y×24100=576000     y=2400000 


 Required difference = y - x = 2400000 - 1300000 = Rs. 1100000 


 


 


2. Answer : 2


 Explanation : 


 Let the profit of Comapny B = 100%


 Dividend Payout ratio(%) of B = 19.60


 Remaining percent i.e retained earning = 100 - 19.60 = 80.4%


 According to question, 80.4% = Rs.402 lakh


 100% = Rs.500 lakh


 Therefore,  Total dividend paid by Company B = 500 - 402 = Rs. 98 lakh


 


 Let the profit of company D = 100%


 Dividend payout ratio (%) of D = 32.50 


 Remaining percent i.e retained earning = 100 - 32.50 = 67.5% 


 According to question, 67.5% = Rs. 270 lakh 


 100% = Rs. 400 lakh


 Therefore, Total dividend paid by company D = 400 - 270 = Rs. 130 lakh 


 Required difference = 130 - 98 = Rs. 32 lakh 


 


 


3. Answer : 3


Explanation : 


Let the profit of Company C = 100% 


Dividend payout ratio of C = 8.75% 


Remaining percent i.e, retained earning = 100 - 8.75 = 91.25 


According to question, 91.25% = Rs. 365 lakh 


100% = Rs. 400 lakh 


Therefore, Profit of C = Rs. 400 lakh


 


Let the profit of company E = 100% 


Dividend payout ratio of E = 28% 


Remaining percent i.e retained earning = 100 - 28 = 72% 


According to question, 72% = Rs.216 lakh 


100% = Rs.300 lakh


Therefore, Profit of E = Rs. 300 lakh 


Required percentage = 100400×100 = 25% less


 


 


4. Answer : 3


 Explanation : 


 Profit made by company A = Rs. 200 lakh


 Profit made by company B = Rs. 500 lakh 


 Required Sum = 200 + 500 = Rs. 700 lakh


 


  


5. Answer : 4 


Explanation : 


 Required Sum = 1300000 + 2400000 + 810000 + 1600000 + 1200000 = 7310000 = Rs. 73.1 lakh

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Subject: Table Charts

Q:

A train runs through cities A, B, C, D, E, F, G and H. The line graph indicates the time schedule of the train including times of arrival and departure.

1. The total stoppage time at the cities in the first half and second half of the total distance is in the ratio.

1. 1 : 3             2. 3 : 1             3. 2 : 1             4. 1 : 2


2. Between how many pairs of consecutive stations does the speed run below the overall average speed of the entire trip?

1. 2                     2. 1                    3. 3                     4. 4


3. If the train stops at each city for 50% more time than what it is at present, then at what time will it arrive at city H after departing from city A as per schedule ?

1. 20.16             2. 19.02             3. 18.51             4. 18.59


4. The overall average speed of the entire trip excluding stoppage time is nearly :

1. 75 km/h        2. 81 km/h        3. 46 km/h        4. 65 km/hr


5. What percent of time of the entire trip was actually spent travelling between the cities ?

1. 91.8%             2. 7.6%             3. 76%               4. 24%

Answer

1. Answer : 4


Explanation : Required ratio = 10+2+510+15+10=173512=1:2 


 


2. Answer : 1


Explanation : 


A to B Speed =140×35  = 84  


B to C Speed = 91×34 = 68.25 


C to D Speed = 149×60103 = 86.796  


D to E Speed = 88×34 = 66  


E to F Speed =  106×45= 84.8  


F to G Speed = 1762 = 88  


G to h Speed =  110×45= 88  


Average speed of entire trip = 84+68.25+86.796+66+84.8+88+887 =80.83 


 


3. Answer : 3 


Explanation :  Total half time = 10 + 2 + 5 + 10 + 15 + 10 = 52 


Total half time, if the train stops at each city for 50% more=52×150100=78 


Train will arrive at city H after departing from city A = 18.25 + (78 - 52 )=18.25 + 26=18.51


 


4. Answer : 2 


 Explanation : Average speed = 84+68.25+86.796+66+84.8+88+887=80.83=81 km/hr


 


5. Answer : 1 


Explanation :  Required percentage of time = 1.40+1.20+1.43+1.20+1.15+2+1.1518.25-7×10010.2311.25×100 = 91.8 %

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Subject: Line Charts

Q:

Study the following pie-charts to answer the following questions :

The pie-charts show the expenditure of two companies A and B, Which are Rs.50 lakh and Rs.60 lakh respectively.

1.If the incomes of Company A and B are in the ratio of 4:5 and the income of Company B is 180% of its expenditure,then what is the difference between the income of Company B and the income of Company A ?

1.Rs.2200000       2. Rs.1900000       3. Rs.2160000       4. Rs.1850000       5.Rs.2250000

 

2.If the number of employees in Company A is a hundred then what is the average salary of the employees in Company A ?

1. Rs.14000     2. Rs.16000     3. Rs.13000     4. Rs.15000     5. Rs.15500

 

3.What is the ratio of tax paid by Company A to that by Company B ?

1. 35:18           2. 34:37           3. 42:41           4. 31:27           5. 27:25

 

4.What is the difference between the expenditure on employees of Company B and that of Company A?

1.Rs.4300000       2. Rs.6400000       3. Rs.5900000       4. Rs.8700000       5.Rs.7800000

 

5.The expenditure on Machine and Electricity of Company B is what per cent more than that on the same item of Company A?

1. 67%             2. 84%             3. 75%             4. 77%             5. 80%

Answer

1. Answer : 3 


Explanation : Expenditure of Company B = 60 lakh 


 Income of Company B = 60×180100= 108 lakh = 1 crore 8 lakh


 Income of Company A  = 10800000×45 = Rs. 8640000


 Therefore, Required differeence = 10800000 - 8640000 = Rs.2160000


 


  


2. Answer : 1


 Explanation :  Total expenditure on the employees of company A = 5000000×28100 = Rs.1400000


 Average Salary of the employees  = 1400000100 = Rs.14000


 


 3. Answer : 1


 Explanation : Tax paid by Company A : Tax paid by Company B


 = 5000000×141006000000×6100


 = 700000 : 3600000  = 35 : 18


  


4. Answer : 2 


Explanation : Difference = 6000000×34100-5000000×28100 


= 2040000 - 1400000 = Rs.640000


 


5. Answer : 5


 Explanation :  Expenditure on Machine and Electricity of Company B = 6000000×18100 = Rs.1080000 = 10.8 lakh


 Expenditure on Machine and Electricity of Company A = 5000000×12100 = Rs.600000 = 6 lakh


 Therefore, Required % = 1080000-600000600000×100  % = 4860×100% = 80%


 Hence expenditure of Company B is 80% more than Company A.

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Subject: Pie Charts