The number of students in a music class is increasing month after month as follows. Find the number of students in June from the following information.

January = 5 February = 5 + 1^{2} = 6 March = 6 + 2^{2} = 10 April = 10 + 3^{2 } = 19 May = 19 + 4^{2} = 35 June = 35 + 5^{2} = 60

- If all the prime digits of the number 7588954867 are written first (in increasing order) followed by even digits(in increasing order) and then odd digits (in increasing order), then which is the sixth digit from the right end after rearrangement?
- How many pairs of letters are there in the word ‘FARMHOUSE’ each of which have as many letters between them (both forward and backward direction) in the word as they have between them according to English alphabetical order?
- Which of the following pairs of numbers and signs, when their positions are interchanged, will correctly solve the given mathematical equation? 17 × 15 + 3 – 11 ÷ 3 = 45
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- If all the digits of the number ‘9723654’ are arranged in ascending order from left to right, the position of how many digits will remain unchanged?
- How many such pairs are there in the word ‘ADVANCED’ each of which has many letters between them in the word as they have between them in the English alphabetical series?
- Each even digit in the number 789345 is replaced by the next higher digit and each odd digit is replaced by the previous lower digit and the digits obtained are rearranged in ascending order. Which of the following will be the third from the left end after the rearrangement?
- If in the word ‘PLATINUM’, each of the vowels is replaced with next letter of English alphabets and each of the consonants is replaced with previous letter of English alphabets, then which of the following letter(s) is/are repeated?
- If the digits in the number 9326841 are arranged in ascending order from right to left, what will be the product of the digits which are third from the right and fourth from the left in the new arrangement?
- How many such pairs of letters are there in the word ‘DEHRADUN’ (in both forward and backward directions) each of which has as many letters between them in the word as in the English alphabetical order?

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