SSC Multi Tasking (Non-Technical) Staff 2021 MCQ – Numerical Aptitude (HCF LCM)

HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers. For example, consider the numbers 30 (2 x 3 x 5), 36 (2 x 2 x 3 x 3), 42 (2 x 3 x 7), 45 (3 x 3 x 5). 3 is the largest number that divides each of these numbers, and hence, is the HCF for these numbers.
HCF is also known as Greatest Common Divisor (GCD).

LCM : The least number which is exactly divisible by each of the given numbers is called the least common multiple of those numbers. For example, consider the numbers 3, 31 and 62 (2 x 31). The LCM of these numbers would be 2 x 3 x 31 = 186.

SSC Multi Tasking (Non-Technical) Staff 2021 MCQ – Numerical Aptitude (HCF LCM) Set A

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SSC Multi Tasking (Non-Technical) Staff 2021 MCQ - Numerical Aptitude (HCF LCM) Set A

1 / 15

Find the largest number of four digit exactly divisible by 12,15,18 and 27.

2 / 15

The HCF of two numbers is 21 and their sum is 105. The LCM of the numbers is

3 / 15

GDC is (x2 – 4) and (x2 +x – 6) is

4 / 15

In the above question, find how many times they will ring together during the next 12 min?

5 / 15

The LCM of 5,8,12,20 will not be a multiple of

6 / 15

The product of two numbers is 12960 and their HCF is 36. How many pairs of such numbers can be formed?

7 / 15

Find the greatest number which can divide 284,698 and 1618 leaving the same remainder 8 in each case.

8 / 15

The number between 200 and 300, which when divided by 6,8 or 9 leaves remainder 8 in each case, are

9 / 15

Find the smallest number of five digits exactly divisible by 16,24,36 and 54.

10 / 15

Find the greatest possible length of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length.

11 / 15

What is the least number by which 2352 is to be multiplied to make it a perfect square.

12 / 15

The sum number of two numbers is 528 and their HCF is 33. The number of pairs of such numbers satisfying the above condition is

13 / 15

Find the largest number which divides 62,132 and 237 to leave the same remainder in each case.

14 / 15

How many numbers between 400 and 500 are exactly divisible by 12,15 and 20 ?

15 / 15

The sum of two numbers is 216 and their HFC is 27. The number are

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SSC Multi Tasking (Non-Technical) Staff 2021 MCQ – Numerical Aptitude (HCF LCM) Set B

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SSC Multi Tasking (Non-Technical) Staff 2021 MCQ - Numerical Aptitude (HCF LCM) Set B

1 / 10

For any integers a and b with HCF (a, 6) = ; what is HCF (o + b, a – b) equal to?

2 / 10

Three hells chime at intervals of 48, 60 and 90 min, respectively. If all the three bells chime together at 10:00 am, at what time will all the three chime again that day?

3 / 10

When in each box 5 or 6 dozens of apples were packed, three dozens were left. Therefore, bigger boxes were taken to pack 8 or 9 dozens of apples. However, still three dozens of apples remained. What was the least number of dozens of apples to be packed?

4 / 10

Find the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm.

5 / 10

Five bells begin to toll together at intervals of 9 s, 6 s, 4 s, 10 s and 8 s, respectively. How many times will they toll together in the span of 1 h (excluding the toll at the start)?

6 / 10

The HCF of (x3 – y2 – 2x) and (x3 + x2) is

7 / 10

What is the HCF of 8 (x5 – x3 + x) and 28(*6+l)?

8 / 10

Find the least number which when divided by 16, 18 and 20 leaves a remainder 4 in each case, but is completely divisible by 7.

9 / 10

What is the greatest four digit number which when divided by 10, 15, 21 and 28 leaves remainders 4,9, 15 and 22, respectively?

10 / 10

What is the greatest number that divides 13850 and 17030 leaves a remainder 17?

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SSC Multi Tasking (Non-Technical) Staff 2021 MCQ – Numerical Aptitude (HCF LCM) Set C

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SSC Multi Tasking (Non-Technical) Staff 2021 MCQ - Numerical Aptitude (HCF LCM) Set C

1 / 10

In a store, there are 345 L mustard oil, 120 L sunflower oil and 225 L soyabean oil. What will be the capacity of the largest container to measure the above three types of oil?

2 / 10

What is the least number which is exactly divisible by 8, 9, 12, 15 and 18 and is also a perfect square?

3 / 10

If the HCF of a and 6 are 12 and a, 6 are positive integers and o > b > 12, then what will be the values of a and 6?

4 / 10

The ratio of two numbers is 3 : 4 and their HCF is 4. What will be their LCM?

5 / 10

The HCF and LCM of two numbers are 13 and 1989, respectively. If one of the numbers is 117, then determine the Other

6 / 10

Find the LCM of (2s x 3 x 52 x 7) (24 x 32 x 5 x 72 x 11) and (2 x 3s x 54)

7 / 10

If HCF of two numbers is 8, which of the following can never be their LCM?

8 / 10

The LCM of two numbers is 495 and their HCF is 5. If sum of the numbers is 100, then find the difference of the numbers.

9 / 10

In a store, there are 345 L mustard oil, 120 L sunflower oil and 225 L soyabean oil. What will be the capacity of the largest container to measure the above three types of oil?

10 / 10

How many numbers are there between 4000 and 6000 which are exactly divisible by 32, 40, 48 and 60?

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