AP ICET 26th April 2019 Shift-2

Anil left home on his cycle to his school t minutes later than the normal time with $$\frac{4}{3}$$ of his usual speed and arrived at school t minutes early. Next day he left home t minutes earlier than the previous day and travelled with $$\frac{8}{11}$$ of his usual speed. Then he arrived his school.

A, B, C, D, E, F, G, H are eight friends sitting around a circulartable facing the center as follows
1. His on the immediate left of A but is not a neighbor of D or E
2. Fis on the immediate right of B and G is neighborof E
3. Cis in between E and F
Which of the following is true?

$$\& x \& = 5x - 7, * y * z * = \frac{3y}{z} \Rightarrow \& (* 7 * 15 *) \& = ?$$

If x stands for addition , < for subtraction, + for division, > for multiplication. - for equal to, $$\div$$ for greater than and = for less than, then which one of the followingis true

If + means division, - means addition, x means subtraction, / means multiplication then the value of the expression
$$[\left\{(17 \times 12) - (4/2) \right\} + (23 - 3) ]/6$$ is

$$9^x = 27^y = 81$$, then $$\frac{1}{x} + \frac{1}{y} = $$

If $$3^n$$ divides $$(72)^9 . (24)^7 . (48)^{11}$$, then the largest integral value of n is

If p : q = 7 : 9, then (4p - 2q) : (3p + q) =

If an amount of Rs 7380 is divided among 3 persons A, B, C in the ratio 5 : 6 : 7, then the difference of the amounts received by A and C, in rupees is

If $$x = 4 - \sqrt[3]{7}$$, then $$x^3 - 12x^2 + 48x - 21 =$$