Question
Find the maximum value of 18 sin A + 7 cos A.
Solution
Maximum value of a sin A + b cos A = √(a² + b²)
Here, a = 18 and b = 7
Required value = √(18² + 7²) = √(324 + 49) = √373
Shivank purchased a total of 630 kg of wheat, rice, and pulses in the ratio 3:2:4, respectively. After selling 70% of the wheat, 40% of the rice, and 40...
Ratio between marked price of article A to article B is 5:6. Shopkeeper allowed d% discount on article ‘A’ and (d + 16)% discount on article ‘B’...
Salaries of A and B are in the ratio 5 : 7. If A’s salary increases by 20% and B’s salary decreases by 10%, what is the new ratio?
- The number of cats and dogs in a shelter are in the ratio 6:5. If the number of cats decreased by 24 and number of dogs increased by 6, their numbers would...
The ratio of the present ages of M and N is 6:5. After 15 years, the ratio of their ages will be 9:8. Find the ratio of their ages 10 years ago.
In a box, there are some coins and rings which are either silver or gold. If 40% of the objects are rings and 50% of the coins are silver, then find out...
Rohit, Manish, Suresh, and Arjun were playing a football match. The ratio of goals scored by Rohit and Manish was 6:9 respectively, while that between M...
- A box has ₹2, ₹1 and 25 paise coins in the ratio 3:5:7. If the total value is ₹446.25, how many 25-paise coins are there?
Out of total number of people in an office, 52% are males. Ratio of number of married to that of unmarried people in the office is 3:2 while ratio of nu...
There are 120 balloons of three different colours in a box. The ratio of red balloons to yellow balloons is 2:3, and the ratio of red balloons to green ...
