[Download PDF] AP ICET 2018 Question Paper Shift-2 (2nd May) Paper with Solutions

Instructions

For the following questions answer them individually

AP ICET 2018 Shift-2 (2nd May) - Question 71

Anita left home for the bus stop 20 minutes late than usual. It takes 15 minutes to reach the bus stop. If she reached the bus stop at 8.30 am. at what time does she usually leave home for the busstop.

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AP ICET 2018 Shift-2 (2nd May) - Question 72

Five persons A, B, C, D and E sit around a table such that A is diagonally opposite to E; C and D are oneitherside of A. If there is only one person D to the right A, the anti clockwise order in which they sits is

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AP ICET 2018 Shift-2 (2nd May) - Question 73

If $$x \triangle y = (x - 2y) + 2xy$$, then a zero value of x such that $$x \triangle x = 0$$is

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AP ICET 2018 Shift-2 (2nd May) - Question 74

Consider the string of letters given below:
BCDEOEOONQRSOVOVOOBKBOBOO
How many letters are immediately preceded by two O’s and immediately followed by no O’s

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AP ICET 2018 Shift-2 (2nd May) - Question 75

If $$\alpha$$ means $$( )$$

$$\beta$$ means $$\div$$

$$\gamma$$ means $$+$$

$$\delta$$ means $$-$$

$$\wedge$$ means $$X$$

then find the value of $$2 \wedge 3 \gamma 4 \delta 8 \beta 2 \gamma 4 \wedge 3$$

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AP ICET 2018 Shift-2 (2nd May) - Question 76

$$\frac{1}{a^{x - y} + a^{x - z} + 1} + \frac{1}{a^{y - z} + a^{y - x} + 1} + \frac{1}{a^{z - x} + a^{z - y} + 1} =$$

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AP ICET 2018 Shift-2 (2nd May) - Question 77

For $$a \neq 0$$, $$\left(\frac{1}{1 + a^2 + a^{-2}} + \frac{1}{1 + a^{-2} + a^{-4}}\right)^{-1} - 1 =$$

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AP ICET 2018 Shift-2 (2nd May) - Question 78

$$a : b :: 2 : 3; b : c :: 4 : 5 \Rightarrow a + b : b + c =$$

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Solution

Given, a:b = 2:3 and b:c = 4:5

$$\Rightarrow$$ a:b = 8:12 and b:c = 12:15

$$\Rightarrow$$ a:b:c = 8:12:15

Let a = 8k, b = 12k and c=15k

$$\therefore\ $$a+b : b+c = 8k + 12k : 12k + 15k

= 20k : 27k

= 20 : 27

Hence, the correct answer is Option D

AP ICET 2018 Shift-2 (2nd May) - Question 79

In an alloy of 35 kgs the ratio of two metals A and B is 4 : 1. If 1 kg of metal B is added then the ratio of A and B in the new allow is

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AP ICET 2018 Shift-2 (2nd May) - Question 80

$$\sqrt[4]{17 + 12\sqrt{2}} =$$

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Solution

$$\sqrt[4]{17+12\sqrt{2}}=\sqrt[4]{9+8+12\sqrt{2}}$$

$$=\sqrt[4]{3^2+\left(2\sqrt{2}\right)^2+2\left(3\right)\left(2\sqrt{2}\right)}$$

$$=\sqrt[4]{\left(3+2\sqrt{2}\right)^2}$$

$$=\sqrt{3+2\sqrt{2}}$$

$$=\sqrt{1+2+2\sqrt{2}}$$

$$=\sqrt{1^2+\left(\sqrt{2}\right)^2+2\left(1\right)\left(\sqrt{2}\right)}$$

$$=\sqrt{\left(1+\sqrt{2}\right)^2}$$

$$=1+\sqrt{2}$$

Hence, the correct answer is Option B

CAT Content

AP ICET 2018 Question Paper Shift-2 (2nd May)

AP ICET 2018 Question Paper Shift-2 (2nd May)

AP ICET 2018 Shift-2 (2nd May) - Question 71

AP ICET 2018 Shift-2 (2nd May) - Question 72

AP ICET 2018 Shift-2 (2nd May) - Question 73

AP ICET 2018 Shift-2 (2nd May) - Question 74

AP ICET 2018 Shift-2 (2nd May) - Question 75

AP ICET 2018 Shift-2 (2nd May) - Question 76

AP ICET 2018 Shift-2 (2nd May) - Question 77

AP ICET 2018 Shift-2 (2nd May) - Question 78

AP ICET 2018 Shift-2 (2nd May) - Question 79

AP ICET 2018 Shift-2 (2nd May) - Question 80

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