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Number System
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Q601

Open question

A man engaged a servant on the condition that he would pay him Rs. 90 and a turban after service of one year. He served only for nine months and received the turban and an amount of Rs. 65. The price of turban is:

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Q602

Open question

How many composite numbers ae there from 53 to 97?

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Q603

Open question

The sum of the odd divisors of 216 is:

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Q604

Open question

What least value which should be added to 1812 to make it divisible 7, 11 and 14?

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Q605

Open question

For any integral value of n, 3²ⁿ + 9n + 5 when divided by 3 will leave the remainder

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Q606

Open question

If a certain number of two digit is divided by the sum of its digits, the quotient is 6 and the remainder is 3. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is 4 and the remainder is 9. The sum of the digits of the number is

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Q607

Open question

Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?

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Q608

Open question

Arrangement of the fractions

\frac{4}{3}, - \frac{2}{9}, - \frac{7}{8}, \frac{5}{12}

into ascending order:

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Q609

Open question

Let a, b and c be the fractions such that a < b < c. If c is divided by a, the result is

\frac{5}{2}

, which exceeds b by

\frac{7}{4}

. If a + b + c =

1 \frac{11}{12}

, then (c - a) will be equal to:

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Q610

Open question

The sum of the digits of the least number which when divided by 36, 72, 80 and 88 leaves the remainders 16, 52, 60 and 68, respectively, is:

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Q611

Open question

The least number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is:

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Q612

Open question

If 7-digit number 678p37q is divisible by 75 and p is not a composite, then the values of p and q are:

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Q613

Open question

What is the sum of first 20 terms of the following series?
1 × 2 + 2 × 3 + 3 × 4 + 4 × 5 + . . . . . . . .

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Q614

Open question

How many numbers are there from 400 to 700 in which the digit 6 occurs exactly twice?

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Q615

Open question

Which one of the following is the minimum value of the sum of two integers whose products is 24?

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Q616

Open question

A four-digit pin, say 'abcd', of a lock has different non-zero digits. The digits satisfy b = 2a, c = 2b, d = 2c. The pin is divisible by . . . . . . . .

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Q617

Open question

The real number to be added to 13851 to get a number which is divisible by 87 is:

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Q618

Open question

Weight of a bucket when filled fully with water is 17 kg. If the weight of the bucket when half filled with water is 13.5 kg, what is the weight of empty bucket?

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Q619

Open question

5349 is added to 3957. Then 7062 is subtracted from the sum. The result is not divisible by

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Q620

Open question

If each of the two numbers 5¹⁶ and 5²⁵ are divided by 6, the remainders are R₁ and R₂ respectively. What is the value of

\frac{R _{1} + R _{2}}{R _{2}} ?

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Number Systempractice.

Number System
practice.