For the following questions answer them individually
The number of groups of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is
Amal purchases some pens at ā¹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ā¹ 12 each. If the remaining pens are sold at ā¹ 11 each, then he makes a net profit of ā¹ 300, while he makes a net loss of ā¹ 300 if the remaining pens are sold at ā¹ 9 each. The wage of the employee, in INR, is
A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is
The number of integers n that satisfy the inequalities $$\mid n - 60 \mid < \mid n - 100 \mid < \mid n - 20 \mid$$ is
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are ā¹ 806.25 and ā¹ 866.72, respectively, the interest accrued, in INR, during the fourth year is nearest to
Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recovery days for patients admitted in hospital A was 3 more than the average in hospital B then the number admitted in hospital A was
A circle of diameter 8 inches isĀ inscribed in a triangle ABC where $$\angle ABC = 90^\circ$$. If BC = 10 inches then the area of the triangle in square inches is
If $$5 - \log_{10}\sqrt{1 + x} + 4 \log_{10} \sqrt{1 - x} = \log_{10} \frac{1}{\sqrt{1 - x^2}}$$, then 100x equals
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