All terms in the sequence will be multiples of 4.
762 and 902 are not multiples of 4
Given Exp. | = [(a + b)2 - 4ab], where a = 476 and b = 424 |
= [(476 + 424)2 - 4 x 476 x 424] | |
= [(900)2 - 807296] | |
= 810000 - 807296 | |
= 2704. |
Let the number be P.
According to the question,
P - P/7 = 180
? 6P/7 = 180
? P = 180 x 7/6 = 210
⟹ x = | 100 x 28 | = 140 |
20 |
Divisor = 5 x 46 = 230
Also, 10 x Quotient = 230
? Quotient = 23
We know that
Dividend = (Divisor x Quotient ) + Remainder
? Dividend = (230 x 23) + 46
? Dividend = 5290 + 46 = 5336
(4915 - 1) = {(72)15 - 1} = (730 - 1), which is divisible by (7 +1), i.e., 8.
Let be the ten's digit be P and unit's digit be Q.
The two-digit number = 10P + Q
(where, P > Q)
According to the question,
P + Q = 14 ......(i)
and P - Q = 2 .......(ii)
solving Eqs. (i) and (ii), we get
P = 8 and Q = 6
? Required product = 8 x 6 = 48
Given expression = (7 + 7 + 7 ÷ 7) / (5 + 5 + 5 ÷ 5)
= (14 + 1) / (10 + 1)
=15 / 11
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