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The sum of two numbers is 36 and their H.C.F and L.C.M. are 3 and 105 respectively. The sum of the reciprocals of two numbers is
Let the no. be 3x and 3y
3x + 3y = 36
x + y =12 ……(1)
3xy =105
xy =35 ……(2)
Dividing eq1 by 2
We have,
(x+y)/xy = 12/35
1/y + 1/x = 12/35
now, since the numbers were 3x and 3y, divide whole equation by 3.
1/3y + 1/3x = 4/35
Hence option 3 is correct.
30% of A's salacy, is equal to 20% of 3/5 th of B's salary. If B's salary is 2400, then what is A's salary?
A and B are two alloys of gold and copper prepared by mixing metals In ratios 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C. the ratio of gold and copper in C will be:
Amount of gold and copper in A = 7/9 and 2/9
Amount of gold and copper in B = 7/18 and 11/18
Ratio of gold and copper in C will be
=(7/9+7/18) : (2/9+11/18)
=(21/18):(15/18)
=21:15
=7:5
If 3 (a2 + b2 + c2) = (a + b + c)2 and a, b, c are non-zero real numbers, then
3 (a2 + b2 + c2) = (a + b + c)2
= 3a2 + 3b2 + 3c2 = a2 + b2 + c2
+2ab + 2bc + 2ca
Sum of two third of x and 50% of y is equal to sum of 80% of x and 30% of y then what is respective ratio of x and y?
Find the sum of all positive multiples of 3 less than 50
Sum of all multiples of 3 upto 50
The number of prime factors in
6333 × 7222 × 8111
Therefore number of prime factors = 666 + 333 + 222 = 1221
Hence Option A is correct
The x-intercept of the graph of 7x - 3y = 2 is
Similarly, putting
x = 0
in
One-third of the square root of which number is 0.001?
According to question
The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125.If one of the numbers is 100, then the other number is?
If LCM be L and HCF be H, then
L = 4H
∴ H + 4H = 125
⟹ 5H = 125
⟹ H = 25
⟹ L = 100
Product of two numbers = Product of their LCM & HCF
100 * Second Number = 25*100
Second Number = 25
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