Question

The square of which of the following numbers is the difference between the 49th even number after 1575 and 17th even number before 1028?
1.24
2.28
3.19
4.26

Answer 1

Answer:

option: 4

Step-by-step explanation:

The 49th even number after 1575 is: 1672

(since, by using the concept of arithmetic progression we get

First even number(a)=1576, d=2

hence the last term in an A.P. is defined as:

$a_{n}=a+(n-1)d$

here n=49 and a=1576

last term$(a_{49})=a+(49-1)d$

$a_{49}=a+48d$

$a_{49}=1576+48\times 2$

$a_{49}=1672$ )

and 17th even number before 1028 is:996

(this could also be done by A.P. since here d= -2 and first term(a)=1028

so, Last term$(a_{17})=a+(17-1)d$

$a_{17}=a+(16)d$

$a_{17}=1028+16\times (-2)$

$a_{17}=996$

Hence, the difference between 1672 and 996 is: 1672-996=676

and 676 is square of 26.

Hence option 4 is correct.

Answer 2

Ans is option 2....

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