AP Police SI Mains 2019 Arithmetic and Reasoning

IMPLICATE and INCRIMINATION are similar words.

EXONERATE and ACQUITAL are similar words.

So,D is correct choice.

Given series is as follows:

$$6^3:5^4::9^3:8^4$$

implies that

$$216:625::729:4096$$.

So, B is correct choice.

CANDLE is the source of LIGHT.

Similarly, BATTERY is the source of POWER.

So,D is correct choice.

Difference between the age of A and B is 3.

so we can't say anything about the value of A and B.A and B can take any integer values.

From statement 2 we can say that C is elder than A. 

So,from both the statements together we are not able to find the youngest value among A,B and C.

So, D is correct choice.

From statement I we can derive that maximum value of X or Y can have 39 and minimum value of X or Y can have 7.

So,they both are positive but we can't say anything about the value of Z.

From statement II ,we can say that any two of X,Y,Z can have maximum value of 39 then other variable will achieve minimum value of 2.

So,they all are definitely positive.

So, Option B is correct choice.

$$|a-b|=5$$ have two equations.

1. $$(a-b)=5$$ 

and 

2. $$(b-a)=5$$

So, either $$a=7,b=2$$or$$a=2,b=7$$.

So both the statements are required to answer the question.

C is correct choice.

Volume of cone$$=(1/3)πr^2h.$$

from statement I and II radius of the cone can be found but we can't get the value of height of the cone.

So,Option D is correct choice.

Perimeter of a sector is

$$=2r+length of arc$$.

So both the statements require to get the value of angle.

c is correct choice.

Perimeter of rectangle is$$2(l+b)$$.

and we also know that length of rectangle is greater than its breadth.

if$$2(l+b)=65$$

means $$(l+b)=32.5$$

if $$l=15$$ then $$b=17.5$$

So, whatever the value length(less than 16) takes,value of breadth is greater than length,which violates the property of a rectangle.

So, statement I is derives that such rectangle can not be possible.

So, statement I is enough to prove.

But if breadth is greater than 10 ,it can take any value between 10 and 16.

So,we can't say anything about it's perimeter.

So,Option A is correct choice.

To find the slope, you divide the difference of the y-coordinates of 2 points on 

a line by the difference of the x-coordinates of those same 2 points.

In statement I no coordinates are given for line.

II.

$$5x-3y+4=0.$$

or,$$5x+4=3y.$$

or,$$\ \frac{\ 5}{3}x+\frac{\ 4}{3}=y.$$

The slope of the line perpendicular to this one will have a slope equal to the negative reciprocal.

The perpendicular slope is $$-\ \frac{\ 3}{5}.$$

Plug the new slope and the given point into the slope-intercept form to find the y-intercept.

$$5=-\ \frac{\ 3}{5}\times3+b$$

or,$$\ \frac{\ 34}{5}=b$$.

$$y=-\ \frac{\ 3}{5}x+\frac{\ 34}{5}.$$

So, Option B is correct choice.