Number System

Q. What will be the maximum sum of 44, 42, 40, ......?

1. 
   502
2. 
   504
3. 
   506
4. 
   500

Q. Find the pairs of natural numbers whose least common multiple is 78 and the greatest common divisor is 13.

1. 58 and 13 or 16 and 29
2. 38 and 23 or 36 and 49
3. 18 and 73 or 56 and 93
4. 78 and 13 or 26 and 39

Q. A box contains 100 tickets, numbered from 1 to 100. A person picks out three tickets from the box, such that the product of the numbers on two of the tickets yields the number on the third ticket. Which of the following tickets can never be picked as third ticket?

1. 10
2. 12
3. 25
4. 26

Q. The LCM of two number is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93 find the other.

1. 134
2. 124
3. 128
4. None of these

Q. How many number of zeros are there if we multiply all the prime numbers between 0 and 200.

1. 1
2. 2
3. 3
4. 4

Q. The product of three consecutive natural numbers, the first of which is an even number, is always divisible by

1. 12
2. 24
3. 8
4. All of these

Q. Let x and y be positive integers such that x is prime and y is composite. Then,

1. y - x cannot be an even integer
2. $\frac{x+y}{x}cannotbeaneveninteger$
3. (x+y) cannot be even.
4. None of the above statements are true

Q. A milkman has three different qualities of a milk 403 gallons of first quality, 465 gallons of second quality and 496 gallons of third quality. Find the least possible number of bottles of equal size in which different milk of different qualities can be filled without mixing?

1. 34
2. 46
3. 26
4. 44

Q. $FindtheLCMof(x+3)(6x^2+5x-4)and$ $(2x^2+7x+3)(x+3)$

1. $(2x+1)(x+3)(3x+4)$
2. $(4x^2-1)(x+3{)}^2(3x+4)$
3. $(4x^2-1)(x+3)(3x+4)$
4. $(2x-1)(x+3)(3x+4)$

Q. A man wrote all the natural numbers starting from 1 in a series. What will be the ${50}^{th}digitofthenumber?$

1. 1
2. 2
3. 3
4. 4