Question 1
How many seconds are there from 10:45 AM until 11:08 PM on the same day?
Solution:
Calculate total time between 10:45 AM and 11:08 PM:
11:08 PM – 10:45 AM = 12 hours and 23 minutes
Convert 12 hours and 23 minutes to seconds:
12 hours = 12 * 60 * 60 = 43200 seconds
23 minutes = 23 * 60 = 1380 seconds
Total seconds = 43200 + 1380 = 44580 seconds
Therefore, there are 44580 seconds from 10:45 AM until 11:08 PM on the same day.
Question 2
What is 30% of 42 take-away 42% of 30?
Solution:
Calculate 30% of 42:
30% of 42 = (30/100) * 42 = 12.6
Calculate 42% of 30:
42% of 30 = (42/100) * 30 = 12.6
Subtract 42% of 30 from 30% of 42:
12.6 – 12.6 = 0
Therefore, 30% of 42 take-away 42% of 30 is 0.
Question 3
When 3,64,898 is divided by 17 the remainder is 10. What is the remainder when 7,29,796 is divided by 17?
Solution:
We know that dividing 364,898 by 17 leaves a remainder of 10.
729,796 is exactly twice 364,898.
So, we can find the remainder of 729,796 by doubling the remainder of 364,898.
Double 10 (the remainder of 364,898) is 20.
The remainder of 20 divided by 17 is 3 (since 20 – 17 = 3).
Therefore, the remainder when 729,796 is divided by 17 is 3.
Question 4
Mona works for a computer firm.
She is paid £1000,plus £10 for each computer she sells.
How many computers does she sells if she earn £1260?
Solution:
Let x be the number of computers Mona sells.
Mona earns £1000 plus £10 for each computer she sells.
Total earnings = £1000 + £10x
We are given that Mona earns £1260.
£1000 + £10x = £1260
Subtract £1000 from both sides:
£10x = £260
Divide by £10:
x = 26
Therefore, Mona sells 26 computers if she earns £1260.
Question 5
Given that x = 2, y = -4 and z = 8. Find the value of 1/2(y)^2 – 1/2(z) + x.
Solution:
Substitute the values of x, y, and z into the expression:
1/2(y)^2 – 1/2(z) + x = 1/2(-4)^2 – 1/2(8) + 2
= 1/2(16) – 1/2(8) + 2
= 8 – 4 + 2
= 6
Therefore, the value of 1/2(y)^2 – 1/2(z) + x is 6.
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