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16 Sep 2014, 00:15
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A
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Difficulty:
35%
(medium)
Question Stats:
74% (01:50) correct
26%
(02:22)
wrong
based on 1008
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How many integers are there between 324,700 and 458,600 that have a 2 in the tens place and a 1 in the ones place?
A. 1,339
B. 1,352
C. 1,353
D. 10,030
E. 10,300
A. 1,339
B. 1,352
C. 1,353
D. 10,030
E. 10,300
16 Sep 2014, 00:15
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Official Solution:
How many integers are there between 324,700 and 458,600 that have a 2 in the tens place and a 1 in the ones place?
A. 1,339
B. 1,352
C. 1,353
D. 10,030
E. 10,300
In every set of 100 consecutive integers, there is one number with a 2 in the tens digit and a 1 in the units digit: 21, 121, 221, 321, and so on.
The difference between 324,700 and 458,600 is \(458,600 - 324,700 = 133,900\). Since there is one such number in each hundred, there will be \(\frac{133,900}{100} = 1,339\) of these numbers within the given range.
Answer: A
How many integers are there between 324,700 and 458,600 that have a 2 in the tens place and a 1 in the ones place?
A. 1,339
B. 1,352
C. 1,353
D. 10,030
E. 10,300
In every set of 100 consecutive integers, there is one number with a 2 in the tens digit and a 1 in the units digit: 21, 121, 221, 321, and so on.
The difference between 324,700 and 458,600 is \(458,600 - 324,700 = 133,900\). Since there is one such number in each hundred, there will be \(\frac{133,900}{100} = 1,339\) of these numbers within the given range.
Answer: A
09 Mar 2018, 11:33
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Check out the series below:
324,721
324,821
324,921
.....
458521
So, we could see that above series is in AP.
so, apply the formula and find out the number of terms.
first term=324,721
Common diff= 100
last term= 458521
458521=324721 + (n-1)100
this will give n=1339.
The right choice.
Please give kudos, if you really like my explanation.
324,721
324,821
324,921
.....
458521
So, we could see that above series is in AP.
so, apply the formula and find out the number of terms.
first term=324,721
Common diff= 100
last term= 458521
458521=324721 + (n-1)100
this will give n=1339.
The right choice.
Please give kudos, if you really like my explanation.
