Ques 21 : Choose the correct answer.

In how many ways can a number 6084 be written as a product of two different factors ?

Option 1 : 27 Option 2 : 26

Ques 22 : Choose the correct answer.

What is the smallest four-digit number which when divided by 6, leaves a remainder of 5 and when divided by 5 leaves a remainder of 3?

Option 1 : 1043 Option 2 : 1073 Option 3 : 1103

Ques 23 : Choose the correct answer.

P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide (P+4) (P+15) is:

Option 1 : 11 Option 2 : 121

Ques 24 : Choose the correct answer.

Let C be a positive integer such that C + 7 is divisible by 5. The smallest positive integer n (>2) such that C + n2 is divisible by 5 is:

Option 1 : 4 Option 2 : 5 Option 3 : 3

Ques 25 : Choose the correct answer.

Four bells begin to toll together and then each one at intervals of 6 s, 7 s, 8 s and 9 s respectively. The number of times they will toll together in the next 2 hr is:

Ques 26 : Choose the correct answer.

The product of two numbers is 16200. If their LCM is 216, find their HCF.

Ques 27 : Choose the correct answer.

There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number.

Ques 28 : Choose the correct answer.

M and N are two distinct natural numbers. HCF and LCM of M and N are K and L respectively. A is also a natural number, which of the following relations is not possible?

Option 1 : K*L=A Option 2 : K*A=L

Ques 29 : Choose the correct answer.

On dividing a number by 999,the quotient is 366 and the remainder is 103.The number is:

Option 1 : 364724 Option 2 : 365387

Ques 30 : Choose the correct answer.

The difference between two numbers is 1365.When the larger number is divided by the smaller one ,the quotient is 6 and the remainder is 15.The smaller number is:

Option 1 : 240

In how many ways can a number 6084 be written as a product of two different factors ?

Option 1 : 27 Option 2 : 26

**Option 3 : 13**Option 4 : 14Ques 22 : Choose the correct answer.

What is the smallest four-digit number which when divided by 6, leaves a remainder of 5 and when divided by 5 leaves a remainder of 3?

Option 1 : 1043 Option 2 : 1073 Option 3 : 1103

**Option 4 : None of these**Ques 23 : Choose the correct answer.

P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide (P+4) (P+15) is:

Option 1 : 11 Option 2 : 121

**Option 3 : 242**Option 4 : None of theseQues 24 : Choose the correct answer.

Let C be a positive integer such that C + 7 is divisible by 5. The smallest positive integer n (>2) such that C + n2 is divisible by 5 is:

Option 1 : 4 Option 2 : 5 Option 3 : 3

**Option 4 : Does not exist**Ques 25 : Choose the correct answer.

Four bells begin to toll together and then each one at intervals of 6 s, 7 s, 8 s and 9 s respectively. The number of times they will toll together in the next 2 hr is:

**Option 1 : 14 times**Option 2 : 15 times Option 3 : 13 times Option 4 : 11 timesQues 26 : Choose the correct answer.

The product of two numbers is 16200. If their LCM is 216, find their HCF.

**Option 1 : 75**Option 2 : 70 Option 3 : 80 Option 4 : Data inconsistentQues 27 : Choose the correct answer.

There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number.

**Option 1 : 5**Option 2 : 7 Option 3 : 11 Option 4 : 17Ques 28 : Choose the correct answer.

M and N are two distinct natural numbers. HCF and LCM of M and N are K and L respectively. A is also a natural number, which of the following relations is not possible?

Option 1 : K*L=A Option 2 : K*A=L

**Option 3 : L*A=K**Option 4 : None of theseQues 29 : Choose the correct answer.

On dividing a number by 999,the quotient is 366 and the remainder is 103.The number is:

Option 1 : 364724 Option 2 : 365387

**Option 3 : 365737**Option 4 : 366757Ques 30 : Choose the correct answer.

The difference between two numbers is 1365.When the larger number is divided by the smaller one ,the quotient is 6 and the remainder is 15.The smaller number is:

Option 1 : 240

**Option 2 : 270**Option 3 : 295 Option 4 : 360
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