The sum of the two numbers is 12 and their product is 35.What is the sum of the reciprocals of these numbers?
Let a and b are the numbers.Then a+b is 12 and ab is 35.
a+b/ab = 12/35
1/b + 1/a = 12/35
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If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to ?
Since 653xy is divisible by 5 as well as 2, so y = 0.Now, 653x0 must be divisible by 8.So, 3x0 must be divisible by 8. This happens when x = 2x + y = (2 + 0) = 2.
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ?
LCM of 2, 3, 7 is 42.
=> (700 – 300)/42 = 9 22/42 => 9 Numbers.
Find the next number in the series 14, 916, 2536,......
The pattern is 12 22, 32 42, 52 62,
∴The next number= 72 82= 4964
Find the next number in the series 141,137,146,130,155,119,...
The pattern is -4, +9,-16, +25, -36
The next number=119+49=168
A number when divided by 779 gives a remainder 47. By dividing the same number by 19, what would be the remainder?
Number = ( 779 x a) + 47, where "a" is the quotient
= (19 x 41 x a) + (19 x 2) + 9
= 19 x (41a + 2) + 9
= 19 x (New quotient) + 9
Required remainder = 9
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Which natural number is nearest to 8485, which is completely divisible by 75 ?
On dividing we get
75)8485(113 75 ------ 98 75 ------ 235 225 ------ 10 ------ Required number = (8485-10)=8475.
What is the simplified result of following the steps below in order?
1.Add 5y to 2x
2.Multiply the sum by 3
3.Substract x+y from the product
Step 1 :2x + 5y
Step 2 :3(2x + 5y) = 6x + 15y
Step 3 :(6x + 15y) - (x +y) = 6x + 15y - x - y (watch that last minus sign!)
This gives 5x + 14y
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