(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
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(2)
Find the Highest Common Factor (HCF) of 18 and 60
Answer: Option [A]
The HCF of 18 and 60 is (3*3) = 9
(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
x2 + x - 8372 = 0
x2 + 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
= 222 + 242 + 262 + 282
= 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