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Mathmetics

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

Q371.
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
1) 20 days 2) 22 .5 days
3) 25 days 4) 30 days
5)None of these
Answer : 22 .5 days
Explanation :
Ratio of times taken by A and B = 1 : 3.
The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days.
If difference of time is 60 days, B takes (3/2)  x 60 = 90 days.
So, A takes 30 days to do the work.
A and B together can do the work in  = (30x90)/(30+90) = 22 .5 days
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Q372.
A fort is provisioned for 32 days for some soldier. After 4 days, a reinforcement of 150 soldiers arrived & the food will now last for 21 days only. How many soldiers were there in the fort in the begining ? 
1) 350 2) 400
3) 450 4) 420
5)None of these
Answer : 450
Explanation :
Shortcut Methods :

 [(People (Join/Left) x Final Numbers of days)]/ Dffrence in days = Original Strength

 i.e. (150 x 21) /(28 - 21) = 450 soldiers
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Q373.
A person deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest . Had the interest been 2% more, how much he would get ?
1) Rs.8,660 2) Rs.9,680
3) Rs.10,620 4) Rs.11,540
5)None of these
Answer : Rs.9,680
Explanation : Given, P = 8,000 , T=3 yrs A= 9200 
So, S.I = 9200 - 8000 = 1200 
Then , R = (1200 X 100 ) / 8000 X 3 = 5%
After 2% rate increases  , new rate will be 7%.
So, new SI=( 8000 X 3 X 7) / 100 = 1680
Thus, new amount = 8000 + 1680 = 9,680

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Q374.
If Rs.85 amounts to Rs.95 in 3 years, what Rs102 will amounts to in 5 years at the same rate percent ?
1) Rs112 2) Rs.118
3) Rs.122 4) Rs.132
5)None of these
Answer : Rs.122
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Q375.
A sum of money lent at simple interest amounts to Rs.720 after 2 years and to Rs. 1020 after a further period of 5 years. Find the rate of interest.
1) 6% 2) 8%
3) 10% 4) 12%
5)None of these
Answer : 10%
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Q376.
Alok borrowed Rs.2500 from two money lenders. For one loan, he paid 5% and for the other, he paid 7% per annum.The total interest paid for two years was Rs.265. How much did he borrow at 7% rate ?
1) Rs.625 2) Rs.825
3) Rs.1875 4) Rs.1675
5)None of these
Answer : Rs.625
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Q377.
A man lent Rs.600 for 2 years and Rs.200 for 3 years at the same rate at simple interest and received only Rs.90 as interest. What was the rate of interest ?
1) 4% 2) 5%
3) 6% 4) 7.5%
5)None of these
Answer : 5%
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Q378.
The simple interest on a certain sum of money at 4 % per annum for 4 years is Rs.80 more than interest on the same sum for 3 years at 5% per annum. Find the sum of money.
1) Rs.6700 2) Rs.7500
3) Rs.8000 4) Rs.8500
5)None of these
Answer : Rs.8000
Explanation : Let, Principal be P.
So, (Px4x4)/100  - (Px3x5)/100  = 80
or P/100 = 80
or P = 80 x 100 = 8000/ 
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Q379.
In a test, Rajesh got 112 marks, which is 32 more than the passing marks. Sonal got 75% marks, which is 70 more than the passing marks. What is the minimum passing percentage in the test ?
1) 35 2) 45
3) 40 4) 30
5)None of these
Answer : 40
Explanation :
Passing marks = 112 - 32 = 80
Also, 75% of total marks = 80 + 70 = 150
Total mark = 200
Then, reqd % = (80/200) x 100 = 40%
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Q380.
The daily wages are increased by 25% and a person now gets Rs.60 per day. What was his previous daily wages (in Rs) ?
1) 36 2) 40
3) 44 4) 48
5)None of these
Answer : 48
Explanation :
Let the previous wages be ‘X’
X + (25/100) x  =60 
or 5x/4 = 60
or x = 48
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