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XAT 2011 — QA & DI Question 10

Simple EquationsEasy
Passage / Data

Answer the following question based on the information given below.

Five years ago Maxam Glass Co. had estimated its staff requirements in the five levels in their organization as: Level-1: 55; Level-2: 65; Level-3: 225; Level-4: 255 & Level-5: 300. Over the years the company had recruited people based on ad-hoc requirements, in the process also selecting ex-defence service men and ex-policemen. The following graph shows actual staff strength at various levels as on date.

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Let an = 1 1 1 1 1 1 1….. 1, where 1 occurs n number of times. Then, 

i. a741 is not a prime.

ii. a534 is not a prime.

iii. a123 is not a prime.

iv. a77 is not a prime.

Answer & solution

  • A

    (i) is correct.

  • B

    (i) and (ii) are correct.

  • C

    (ii) and (iii) are correct.

  • All of them are correct.

  • E

    None of them is correct.

Solution

a741 has 1 written 741 times.
∴ The sum of digits of a741 is divisible by 3.
∴ a741 is divisible by 3.
∴ a534 and a123 are also not prime by the same logic.
∴ (i), (ii), and (iii) are correct.
Option (4) can be safely assumed to be the correct option.
Hence, option (d).

XAT 2011 QA & DI Q10: Let a n = 1 1 1 1 1 1 1….. 1, where 1 occurs n number of times. Then, i. a 741 is not a prime. ii. a 53 — Solution | TheCATExam