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For the following questions answer them individually
If the seven digit number 94a29b6 is divisible by 72 , then what is the value of (2a + 3b) for a $$\neq$$ b ?
An equilateral triangle ABC is inscribed in a circle of radius $$20\sqrt{3}$$ cm. What is the length of the side of the triangle ?
Given below are two statements :
In class 'X' of 30 students, 24 passed in first division; in another class 'Y' of 35 students, 28 passed in first division.
Statement I : Class 'X' has more percentage of students getting first division.
Statement II : Both classes have equal percentage of students getting first division.
Arrange the following fractions in descending order.
(A) $$\frac{5}{9}$$
(B) $$\frac{7}{11}$$
(C) $$\frac{8}{15}$$
(D) $$\frac{11}{17}$$
Simplify : $$\frac{\sqrt[4]{0.0625}+\sqrt[3]{0.008}+\sqrt{0.09}-1}{\sqrt[3]{62.5\times\sqrt[5]{32}}}$$
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 AM from A at a speed of 5km/hr reaches B and comes back to A at the same speed. Shyam starts at 9:45AM from A at a speed of10km/hr, reaches B and comes back to A at the same speed.
For the following questions answer them individually
If the roots of the equation $$x^{2}-px+54=0$$ are in the ratio 2 : 3 , then value of p is:
Given below are two statements:
Statement I: $$\frac{\cot 30^{o} + 1}{\cot 30^{o} - 1} = 2(\cos 30^{o} + 1)$$
Statement II: $$2 \sin 45^{o} \cos45^{o} - \tan 45^{o} \cot 45^{o} = 0$$
