# SSC Number Systems questions

## SSC 2023 Number Systems questions

#### Question 1

What is the Least Common Multiple of lengths 80 cm, 90 cm and 112 cm?

## SSC 2022 Number Systems questions

#### Question 1

Ramu had to select a list of numbers between 1 and 1000 (including both), which are divisible by both 2 and 7. How many such numbers are there?

#### Question 2

120 apples, 240 oranges and 150 pears are packed in cartons in such a way that each carton has the same number of fruits, each carton contains only one type of fruit, and no fruit is left unpacked. What is the smallest possible number of cartons needed for the purpose?

#### Question 3

Find the value of k in the number 3426k if the number is divisible by 6 but NOT divisible by 5.

## SSC 2021 Number Systems questions

#### Question 1

Five bells ring together at the intervals of 3, 5, 8, 9 and 10 seconds. All the bells ring simultaneously at the same time. They will again ring simultaneously after:

#### Question 2

What is the sum of the digits of the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?

#### Question 3

Two numbers are in the ratio 7 : 11. If their HCF is 28, then the sum of the two numbers is:

#### Question 4

How many numbers between 400 and 700 are divisible by 5, 6 and 7?

#### Question 5

If $$14331433 \times 1422 \times 1425$$ is divided by 10, then what is the remainder?

#### Question 6

When a number is successively divided by 3, 4 and 7, the remainder obtained is 2, 3 and 5, respectively. What will be the remainder when 42 divides the same number?

#### Question 7

How many numbers between 300 and 700 are divisible by 5, 6 and 8?

#### Question 8

The HCFof two numbersis 29, and the other two factors of their LCM are 15 and 13. The smaller of the two numbers is:

#### Question 9

The HCF of two numbersis 29, and the other two factors of their LCM are 15 and 13. The larger of the two numbers is:

#### Question 10

When a numberis successively divided by 3, 4 and 7, the remainders obtained are 2, 3 and 5, respectively. What will be the remainder when 84 divides the same number?

#### Question 11

Let x be the least number between 70000 and 75000 which on being divided by 225, 250 and 275 leaves a remainder of 61 in each case. The sum of the digits of x is:

#### Question 12

The ratio of two numbers is 9: 13 and their HCF is 6. Their LCM is:

#### Question 13

Three numbers are coprime to each other such that the product of the first two numbers is 88 and that of the last two numbers is 165.The sum of all three numbers is:

#### Question 14

Two munbers A and B are, respectively, 20% and 56% more than a third number C. The ratio of the numbers A to B is:

#### Question 15

What is the sum of the digits of the largest five digit number which is divisible by 5, 35, 39 and 65?

#### Question 16

The LCM of two numbers is 90, whereas their HCF is 6. If one number is 12 more than the other, then the greater number is: