Question
If total number of factors of 3,150 is 'x', then find
the value of (x - 6) (x + 3).Solution
Factors of 3,150 = 2¹ × 3² × 5² × 7¹
So, total number of factors = (1 + 1) (2 + 1) (2 + 1) (1 + 1) = 2 × 3 × 3 × 2 = 36
Required value = (x - 6) (x + 3) = 30 × 39 = 1170
The number of students in class IX and class X is 70 and 75, respectively. The ratio of the number of boys to girls in classes IX and X is 9: 5 and 8: 7...
Ratio between two numbers is 9:14 and their difference is 55. Find the sum of the given two numbers.
A sum of money is divided among P, Q, R and S in the ratio of 2:3:9:10 respectively. If the share of R's is Rs. 3900 more than the share of Q, then what...
Naresh, Dinesh, and Ramesh became partners in a business by investing money in the ratio of 3: 6: 8. If their investments are increased by 5%, 15%, and ...
If 3 kg of metal, of which 1/4  is aluminium and the rest is magnesium, be mixed with 5 kg of metal, of which  1/3 is aluminium and the rest is magn...
- If X:Y = 7:3 and Y:Z = 9:4, then find the value of (X:Y:Z).
Find the third proportional to 12 and 42?
Find the third proportional to 14 and 70?
Rs 2106 was divided among Anil, Bhanu and Charan in the ratio of 13:10:16 respectively. Find the amount received by Anil and Bhanu together.
P, Q and R together started a business. Seven times the investment of P equals nine times the investment of Q and the capital of Q is twice that of R. F...
