A sum of money compounded annually amounts to Rs.1375 in 5 years and Rs.1980 in 7 years. Find the annual rate of interest

- Option 1)
12%

- Option 2)
20%

- Option 3)
11%

- Option 4)
10%

- Option 5)
15%

Amount of 5 years = 1375 Rs.
Amount of 7 years = 1980 Rs.
Difference = 1980 -1375 = 605
Then
R= 20 %

A man saves Rs.20000 at the beginning of each year and puts the money in a bank that pays 5% interest per year, interest being compounded annually. How much would be the total savings of the man at the end of 5 years?

(Given that (1.05)^{5} = 1.276)

- Option 1)
Rs. 115920

- Option 2)
Rs.125570

- Option 3)
Rs.140460

- Option 4)
Rs.134460

- Option 5)
None of these

P= 20,000 t = 5 years , R = 5 %
So the present value
Let this be by Pv
Desired answer = future value ( at the end of 5 years )
Pv (1+5 % ) 5
Pv (1.05)5
Pv x 1.276
= 115920 Rs.

A loan is taken today and repaid in two annual instalments (paid at the end of the year) of Rs.2662 each. The rate of interest is 10% p.a and it is compounded annually. Find the sum borrowed.

- Option 1)
Rs.4540

- Option 2)
Rs 4620

- Option 3)
Rs.4520

- Option 4)
Rs.2152

- Option 5)
Rs.2848

Rate = 10 %
1/10 = 1 increases on 10
In second square on both side given is 2662 but we have -121
So , 2662/121 = 22
Sum borrowed = 210 x 22 = 4620 Rs.

A man borrowed Rs.55000 from two banks under compound interest, compounded annually. One bank charged interest at the rate of 8% per year and the other bank at 12% per year. If at the end of the year the man paid Rs.4900 as the total interest to the two banks, how much loan did he take from the first bank?

- Option 1)
Rs.47500

- Option 2)
Rs.42500

- Option 3)
Rs.32500

- Option 4)
Rs.45200

- Option 5)
Rs.12500

Let if we lent the whole sum at 12 % of interest
Difference B/W origibal and assumed
Is is because of difference in rate of interest
So the sum is lent at 8 % interest

What will come in the place of question mark? Complete the series.

29, 31, 37, 49, 69, ?

- Option 1)
108

- Option 2)
99

- Option 3)
94

- Option 4)
66

- Option 5)
103

Rate of interest
8% for 2 years = 16 %
10 % for 3 years = 30 %
5 % for 2 years = 10 %
7 % for 1 year = 7 %
Amount = 163% of P

In a mathematical game, one hundred people are standing in a line and they are required to count off in fives as ' one, two, three, four, five, one , two, three, four, five' and so on from the first person in the line. The person who says ‘five’ is taken out of the line. Those remaining repeat this procedure until only 4 people remain in the line. What was the original position in the line of the last person to leave?

- Option 1)
- Option 2)
- Option 3)
- Option 4)
- Option 5)

In first round 20 people will be out and last one that got out will be number 100. In second round 16 people will be out from remaining 80 people and last one out will be 99. In third round 12 will be out and 98 will remain.Similarly in every coming round 98 will be last one and not coming in muntiple of 5 and hence the last person will be 98 to go out .

There are two containers: the first contains 500ml of alcohol, while the second contains 500 ml of water. Three cups of alcohol from the first container is removed and is mixed well in the second container. Then three cups of this mixture is removed and is mixed in the first container. Let ‘A’ denote the proportion of water in the first container and ‘B’ denote the proportion of alcohol in the second container. Then A,

- Option 1)
- Option 2)
- Option 3)
- Option 4)
Cannot be determined

- Option 5)

Let the capacity of each = 100 ml
So 300 ml removed and poured into second
First vessel = 200 ml alcohol
Second = 500 ml water+ 300 ml A
Ratio = 5:3
Proportion of alcohol = 3/8
If 300 ml removed from second = 300 x 5/8 = 187.5 ml water
= 112.5 ml alcohol
Now poured so vessel = 200 + 112.5 = 312.5 A
= 187.5 ml
Hence ratio = 5:3 proportion of water = 3/8
So A= B

Ram prepares solutions of alcohol in water according to customer’s needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?

- Option 1)
- Option 2)
- Option 3)
- Option 4)
- Option 5)

Spirit in first = 8/8+3 = 8/11
Spirit in second = 5/6
Spirit in mixture = 4/5
Ratio
From first vessel taken

40 L milk from which 4L drawn out
So milk + 5 liter water
Milk
water
Now
= 27.09 L milk + (11+7) water
Means = 27.09 L milk + 18 liter water
So final milk

In an examination, 30% of the total students failed in Hindi, 45% failed in English and 20% failed in both the subjects. Find the percentage of those who passed in both the subjects.

- Option 1)
35.7%

- Option 2)
35%

- Option 3)
40%

- Option 4)
45%

- Option 5)
44%

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