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Number System
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One of the factors of (82k + 52k), where k is an odd number, is:

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The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7 + C (C > - 7) is a constant, then the minimum value of the fraction is:

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A two-digit number, 9A, is a prime number. Find A.

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What is the value of x so that the seven digit number 8439x53 is divisible by 99?

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The sum of the digits of a two digit number is of the number. The units digit is 4 less than the tens digit. If the number obtained on reversing its digits is divided by 7, the remainder will be:

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Two positive whole numbers are such that the sum of the first and twice the second number is 8 and their difference is 2. The numbers are:

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A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B ≤ 15)?

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How many times the keys of a typewriter have to be pressed in order to write number from 121 to 1346?

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Among the following statements, the statement which is not correct is:

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If 13 + 23 . . . . . . + 103 = 3025, then the value of 23 + 43 . . . . . . + 203 is:

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There are 2 teams-A and B. If 3 people are shifted from Team A to Team B, then Team B has thrice the number of members than Team A. If 2 people are shifted from Team B to Team A, then Team B has double the number of members than Team A. How many members does Team B have originally?

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(91 + 92 + 93 + . . . . . . + 110) is equal to

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How many numbers are there from 700 to 950 (including both) which are neither divisible by 3 nor by 7?

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How many number are there between 1 to 200 which are divisible by 3 but not by 7?

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In a class of students, the first student has 2 toffees, second has 4 toffees. third has 6 toffees and so on. If the number of students in the class is 25. Then the total number of toffees are divisible by . . . . . .

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Which of the following statement(s) is/are TRUE?
I. The total number of positive factors of 72 is 12.
II. The sum of first 20 odd numbers is 400.
III. Largest two digit prime number is 97.

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Nathu and Buchku each have certain number of oranges. Nathu says to Buckhu, "If you give me 10 of your oranges, I will have twice the number of oranges left with you". Buckhu replies, "If you give me 10 of your oranges, I will have the same number of oranges as left with you." What is the number of oranges with Nathu and Buckhu, respectively?

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