The given series is in the below pattern,
First term = 3
Second term = First term x 1 +13
? Second term = 3 x 1 + 13 = 3 + 1 = 4
Third term = Second term x 2 + 23
? Third term = 4 x 2 + 23 = 8 + 8 = 16
Fourth term = Third term x 3 + 33
? Fourth term = 16 x 3 + 33 = 48 + 27 = 75
Fifth term = Fourth term x 4 +43
? Fifth term = 75 x 4 + 43 = 300 + 64 = 364
So 366 is wrong. we get 364 as 5th term.
Sixth term = Fifth term x 5 + 53
? Sixth term = 364 x 5 + 53 = 1820 + 125 = 1945
Seventh term = Sixth term x 6 + 63
? Seventh term = 1945 x 6 + 63 = 11670 + 216 = 11886
From option (c),
8 * 8 * 1 * 7 = 8
? 8 ÷ 8 x 1 + 7 = 8
? 8 = 8
Statements
P < Q = R ? S ? T
Conclusions
I. T ? Q (true)
II. R > P (true)
Hence, both conclusions are definitely true.
If we interchanges signs '+' and '÷', then the equation changes into
15 + 9 x 3 - 74 ÷ 2 = 15 + 27 - 37 = 5
Solve all option one by one,
36 + 6 - 3 x 2 = 20
After changing the symbol as per question,
36 ÷ 6 x 3 + 2 = 20
Apply the BODMAS rule,
? 6 x 3 + 2 = 20
? 18 + 2 = 20
? 20 = 20
H ? W ..(i) W < N ...(ii) R = N ...(iii)
Combining these we get H ? W < N = R
Hence R > W and I follows
Again N > W and II follows
And, H < R III follows
4 x 3 x 4 = 48
D ? N ...(i) R = F ...(ii) F > T ...(ii)
From (i) and (ii) D ? R = F or D ? F or F ? D.
Hence either I (F = D ) or II (F > D) follows
From (ii) and (iii) R = F > T or R > T or T < R.
Hence III follows.
M < T ... (i) T > K ...(ii) K = D ...(iii)
From (ii) and (iii) T > K = D or D < T.
Hence I follow
From (i) and (ii) K and M can't be compared
Hence II does not follow
N < O ? R > T; R < A; B ? T
Check for I:
N < O ? R > T
? No definite relation can be found between N and A.
Check for II:
Apply all option one by one.
? 6 x 4 + 2 = 16 ? 4 + 6 x 2 = 16 ? 4 + 12 = 16
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