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Quantitative Aptitude

Highest Power of a Number

12. If a < b ...

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12. If a < b < c < d < e are consecutive positive integers, such that b + c + d is a perfect square and a + b + c + d + e is a perfect cube. The smallest possible value of c is (i) 675 (ii) 576 (iii) 475 (iv) 384

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Q. Let a, b, c, d, e be consecutive positive integers such that

b + c + d

is a perfect square and

a + b + c + d + e

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Q. Match the columns I and II:
(A)(a) - (ii), (b) -(V), (c)-(iii),(d) -(i);(e)-(iv)
(B)(a)- (v), (b) -(iv), (c)-(iii),(d) -(ii),(e)-(i)
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a + b + c + d + e

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?

Q. Match the following:
(A) (i)-a, (ii)-c,(iii)-d,(iv)-e,(v)-b,(vi)-f
(B) (i)-b,(ii)-c,(iii)-a,(iv)-f,(v)-e,(vi)-d
(C) (i)-f,(ii)-e,(iii)-b,(iv)-c,(v)-a,(d)- d
(D) (i)-b,(ii)-c,(iii)-d,(iv)-a,(v)-e,(vi)-f

Q. Match the following:

\begin{matrix} Column A & Column B A & Diplotene & i & Appearance of recombination nodule and recombination between homologous chromosomes B & Diakinesis & ii & Dissolution of the synaptonemal complex and formation of the chiasmata C & Zygotene & iii & Compaction of chromosomes D & Pachytene & iv & Terminalisation of the chiasmata E & Leptotene & v & Synapsis and formation of the bivalent \end{matrix}

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