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Q #36
⏰ :

Directions: Read the following information to answer the question.

For a Fibonacci sequence, from the third term onwards, each term in the sequence is the sum of the previous two terms in that sequence. If the difference of squares of seventh and sixth terms of this sequence is 517, what is the tenth term of this sequence?

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a2 – b2 = 517 = 11 × 47. (a + b) (a – b). Sum of terms is 47 and difference of terms is 11. Hence x + x + 11 = 47, and the two terms are 18 and 29. Hence 8th term = 47, 9th term = 47 + 29 = 76 and 10th term = 76 + 47 = 123.

Q #37
⏰ :

Directions: Read the following information to answer the question.

Let b be a positive integer and a = b² – b. If b ≥ 4, then a² – 2a is divisible by:

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a = b2 – b and b ? 4. Substitute some values to get b = 4, 5, 6 ..... Hence a = 12, 20, 30 ..... In each case, a2 – 2a is divisible by 24.

Q #38
⏰ :

Directions: Read the following information to answer the question.

The registration number of Mr. Dutt’s bike is a unique one. It gets increased by 7155 when seen upside down. What is the registration number of Mr. Dutt’s bike?

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Only 0, 1, 6, 8 and 9 make sense, when seen upside down. From these numbers we find that Arvind's bike 1906. 9061 – 1906 = 7155.

Q #39
⏰ :

Directions: Read the following information to answer the question.

A number when successively divided by 4, 5, 6 and 7 leaves remainders of 1, 4, 5 and 6 respectively. Which of the following can be the remainder when the above number is divided by 93?

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Q #40
⏰ :

Directions: Read the following information to answer the question.

Given N = 98765432109876543210.............. upto 1000 digits, find the smallest natural number n that should be added to N such that N + n is exactly divisible by 11.

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