MBA Exam

If n is any 3-digit prime number then which of the following statement(s) is(are) definitely true?n divides 2n – 2.an + bn is always divisible by (a + b) for a + b ≠ 0.There always exist n consecutive composites numbers.I did not understand the 3rd option

1) Only 1
2) Only 2
3) Both 1 & 2
4) All are correct

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MBA Other Question

If α and β are roots of the equation x2 - px + q = 0 and α1 and β1 are the roots of the equation x2 - qx + p = 0, then the equation whose roots are is:

1) pqx<sup>2</sup> - pqx + p<sup>2</sup> + q<sup>2</sup> + 4pq = 0
2) p<sup>2</sup>q<sup>2</sup>x<sup>2</sup> - p<sup>2</sup>q<sup>2</sup>x + p<sup>3</sup> + q<sup>3</sup> - 4pq = 0
3) (p+q)x<sup>2</sup> - (p+q)x + p<sup>2</sup> + q<sup>2</sup> + pq = 0
4) p<sup>2</sup>q<sup>2</sup>x<sup>2</sup> + p<sup>2</sup>q<sup>2</sup>x + p<sup>3</sup> + q<sup>3</sup> = 0
kunal has only 25 paise and 50 paise coins with him.the total amount in 50 paise denomination is rupees 4 more than the total amount in 25 paise denomination.the no. of 25 paise coins is 20 more than the no. of 50 paise coins.what is the total amount with kunal?pl. provide sol.

1) 32
2) 36
3) 40
4) 24