[Download PDF] AP Police SI Mains 2019 Arithmetic and Reasoning Paper with Solutions

Instructions

Fill in the blanks with suitable positive integer in each of the questions.

Question 111

Video Solution

Solution

Pattern is as follows:

$$(4-1)=3 , (8-5)=3.$$

$$(9-7)=2 , (6-4)=2.$$

Similarly,

$$(8-4)=4 , (6-2)=4.$$

B is correct choice.

Question 112

Video Solution

Solution

Given series follows following pattern:

$$5^2+3^2+2^3+1^3=43.$$

$$6^2+4^2+2^3+3^3=87.$$

Similarly,

$$7^2+8^2+2^3+4^3=185.$$

So, D is correct choice.

Question 113

Video Solution

Solution

Series follows following pattern:

$$7×6+5=47$$

$$8×6+4=52$$

So, $$7×4+9=37.$$

A is correct choice.

Question 114

Video Solution

Solution

Series follows following pattern:

$$5^3-6^2=89$$

$$6^3-7^2=167$$

So, $$8^3-9^2=431.$$

So, B is correct choice.

Instructions

For the following questions answer them individually

Question 115

Digits 1 to 6 are marked one each on the faces of a die. 3 different positions of a die are 3 given below. The combination of digits on the faces opposite to each other are.

Video Solution

Solution

2 is adjacent to 6&3 and 5 is adjacent to 6&3 ,which indicates that 2 is opposite to 5.

Now 4 is adjacent to 3&5 ,so , 4 is definitely opposite to 6..Then 3 is opposite to 1.

C is correct choice.

Question 116

All the faces of a cuboid arc painted. It is cut by planes parallel to its faces to form unit cubes. If the number of cubes having all unpainted faces is 1001, then the dimensions of , the cuboid are

Video Solution

Solution

Option A is correct choice.

Because ,if we cut the cube by $$13×9×15$$ dimensions,then all the faces with the color will be out side faces of the cuboid.

So, uncolored face will stay only inside the cuboid with $$(13-2)×(9-2)×(15-2)$$ or $$11×7×13$$ or 1001 number of small cuboid.

A is correct choice.

Question 117

The minimum number of different colours required to paint the surfaces of a cuboid so that no two adjacent faces are painted with same colour, is

Video Solution

Solution

If we want to color a cuboid with minimum number of colours then opposite faces of the cuboid should colored by same color.

So,a minimum of 3 different colour needed.

D is correct choice.

Question 118

In the following figure, each cell marked with a symbol is a face of a cube. If the surfaces are folded to form a cube, then the faces that are adjacent to the face labelled $$\theta$$ are

Video Solution

Solution

If we fold the image then $$\theta$$ will be definitely opposite to $$\rho$$ sign. It means that alpha,beta,Gama and delta would be adjacent to theta.

Option A is correct choice.

Instructions

Read the following information and answer the quetions below.
The principal of a college scheduled the following week, starting from Monday to Sunday.
i) Management skills six lecture
ii) Decision making
iii) Motivation
iv) Soft skills
v) Faculty development
vi) Quality circles
It is decided to organise the lecture on Motivation immediatly after Faculty development. The lecture on Quality circles is to be scheduled on Wednesday and it should be followed by Soft skills. The lecture on Decision making should be organised on Friday. The lecture on Management skills and the lecture on Soft skills are to be scheduled with a gap of two days M which no lecture is to be scheduled on one day (Saturday is not that day) just after the lecture day on Soft skills.

Question 119