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Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

Q531.
Direction : Answer the questions based on the given line graph.

Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years


In 1995, the export of Company A was double that of Company B. If the imports of Company A during the year was Rs. 180 crores, what was the approximate amount of imports pf Company B during that year?

1) Rs. 180 crores 2) Rs. 200 crores
3) Rs. 210 crores 4) Cannot be determined
5)None of these
Answer : Rs. 210 crores
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Q532.
Direction : Answer the questions based on the given line graph.

Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years


If the exports of Company A in 1998 were Rs. 237 crores, what was the amount of imports in that year ?

1) Rs. 216 crores 2) Rs. 240 crores
3) Rs. 284 crores 4) Rs. 316 crores
5)None of these
Answer : Rs. 316 crores
Explanation :
Let, the amount of imports of Company A in 1998 be Rs. x crores.

Then,237/x= 0.75
     
=>  x = 237/0.75 = 316.

Therefore, amount of imports of Company A in 1998 = Rs. 316 crores.
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Q533.
Direction : Answer the questions based on the given line graph.

Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years


If the imports of Company A in 1997 were increased by 40 %, what would be the ratio of exports to the increased imports ?
1) 1.10 2) 1.20
3) 1.25 4) Cannot be determined
5)None of these
Answer : 1.25
Explanation :
In 1997 for Company A we have:

E /I = 1.75     i.e.,     E = 1.75I

where E amount of exports, I = amount of imports of Company A in 1997.

Now, the required imports I1 = I + 40% of I = 1.4I.

Therefore, required ratio =E/I1 =1.75I/1.4I= 1.25.


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Q534.
Direction : Answer the questions based on the given line graph.

Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years


In how many of the given years were the exports more than the imports for Company A ?
1) 2 2) 3
3) 4 4) 5
5)None of these
Answer : 3
Explanation :

The exports are more than imports in those years for which the exports to imports ratio are more than 1. For Company A, such years are 1995, 1996 and 1997.

Thus, during these 3 years, the exports are more than the imports for Company A.

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Q535.
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year Item of Expenditure
Salary Fuel and Transport Bonus Interest on Loans Taxes
1998288983.0023.483
19993421122.5232.5108
20003241013.8441.674
20013361333.6836.488
20024201423.9649.498
The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?
1) 0.1% 2) 0.5%
3) 1% 4) 1.25%
5)None of these
Answer : 1%
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Q536.
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year Item of Expenditure
Salary Fuel and Transport Bonus Interest on Loans Taxes
1998288983.0023.483
19993421122.5232.5108
20003241013.8441.674
20013361333.6836.488
20024201423.9649.498
What is the average amount of interest per year which the company had to pay during this period?
1) Rs. 32.43 lakhs 2) Rs. 33.72 lakhs
3) Rs. 34.18 lakhs 4) Rs. 36.66 lakhs
5)Non Of These
Answer : Rs. 36.66 lakhs
Explanation :

Average amount of interest paid by the Company during the given period

    = Rs.[23.4 + 32.5 + 41.6 + 36.4 + 49.4]lakhs
5

    = Rs.
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Q537.
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?
1) 1/2 2) 1/3
3) 4/9 4) 8/21
Answer : 1/3
Explanation :
Total number of balls = n(S) = (8 + 7 + 6) = 21.
Let E = event that the ball drawn is neither red nor green = event that the ball drawn is blue.
So, n(E) = 7.
Therefore, P(E) = n(E) / n(S) =  7 / 21=1 /3 .
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Q538.
What is the probability of getting a sum 9 from two throws of a dice ?
1) 1/6 2) 1/9
3) 1/8 4) 1/12
5)None of these
Answer : 1/9
Explanation :
In two throws of a die, n(S) = (6 x 6) = 36.
Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)} = 4.
P(E) = n(E)/n(S) = 4/36 = 1/9 .
 
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Q539.
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?
1) 1/5 2) 2/5
3) 2/7 4) 3/5
5)None of these
Answer : 2/7
Explanation :

Thus, P (getting a prize) =10 /(10 + 25) =10 /35 = 2 / 7

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Q540.
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

1) 1/2 2) 1/3
3) 3/4 4) 4/5
5)None of thesae
Answer : 3/4
Explanation :
In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.

Then, E =  {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4), (3, 6), (4, 1),
 (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
 n(E) = 27.

So, P(E) = n(E) / n(S) =27 /36 = 3/4

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