Answer: Option [D]

The LCM of 18 and 60 is (2*3*3*10) = 180

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Questions

1
Find the Lowest Common Factor (LCM) of 18, 60

Answer: Option [D]

The LCM of 18 and 60 is (2*3*3*10) = 180

2
Find the Highest Common Factor (HCF) of 18 and 60

Answer: Option [A]

The HCF of 18 and 60 is (3*3) = 9

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3
The product of two successive numbers is 8372. Which is the smaller between these two numbers?

Answer: Option [C]

Let the two numbers be x and (x+1) respectively

So, x(x+1) = 8372

x^{2} + x - 8372 = 0

x^{2} + 92x - 91x -8372 = 0

(x + 92)(x - 91) = 0

x = 91

Hence the two numbers are 92 and 91 and the smaller number is 91

4
The sum of four consecutive even numbers is 100. What is the sum of the squares of these numbers?

Answer: Option [C]

Let the four consecutive even numbers be (x-2), x, (x+2) and (x+4) respectively.

Then, (x-2)+x+(x+2)+(x+4) = 100

4x + 4 = 100

x = 24

Hence the numbers are 22, 24, 26 and 26

The sum of their squares

= 22^{2} + 24^{2} + 26^{2} + 28^{2}

= 2520

5
A, B, C, D, E are five consecutive odd numbers. The sum of A and C is 30. What is the value of E?

Answer: Option [D]

Let the five consecutive odd numbers be (x-4), (x-2), x, (x+2), (x+4) respectively.

Now, (x-4) + x = 30

x = 17

Therefore the value of E is (17+4) = 21

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