n each of the questions given below, there is a mathematical series. After the series, a number is given followed by (a), (b), (c), (d) and (e). You have to create another series after understanding the sequence of the given series which starts with the given number. Then, answer the question given below.
5 294 69 238
13 (a) (b) (c) (d) (e)
Which of the following numbers would come in the place of (e)?

246

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206

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125

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302

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None of these

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Solution

The correct option is B 206
The series is
$+ (17)^{2}, - (15)^{2}, + (13)^{2}, - (11)^{2}, + (9)^{2}$
$∴$ a= 13 + $(17)^{2}$ = 302
b=302 - $(15)^{2}$ = 302 - 225 = 77
c = 77 + $(13)^{2}$ = 77 + 169 = 246
d = 246 - $(11)^{2}$ = 246 - 121 = 125
e = 125 + $(9)^{2}$ = 125 + 81 = 206.

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The correct option is B 206The series is +(17)2,−(15)2,+(13)2,−(11)2,+(9)2 ∴ a= 13 + (17)2 = 302 b=302 - (15)2 = 302 - 225 = 77 c = 77 + (13)2 = 77 + 169 = 246 d = 246 - (11)2 = 246 - 121 = 125 e = 125 + (9)2 = 125 + 81 = 206.

The correct option is B 206
The series is
$+ (17)^{2}, - (15)^{2}, + (13)^{2}, - (11)^{2}, + (9)^{2}$
$∴$ a= 13 + $(17)^{2}$ = 302
b=302 - $(15)^{2}$ = 302 - 225 = 77
c = 77 + $(13)^{2}$ = 77 + 169 = 246
d = 246 - $(11)^{2}$ = 246 - 121 = 125
e = 125 + $(9)^{2}$ = 125 + 81 = 206.