Instructions

For the following questions answer them individually

Question 21

A rectangular box of width(a), length(b), and height(c) has a solid cylinder of height 'c' and of diameter 'a' placed within it. If a= 6, b =8 and c =10, how much volume is left in the rectangular box ?

Question 22

If f(x) = $$x^3 - 4x + p$$ and f(0) and f(1) are of opposite signs, Which one of the following is neccessarily true?

Question 23

The speed of a boat in still water is 5 km/hr. If it takes thrice as much time in going 20 km upstream as in going the same distance downstream, find the speed of the stream.

Question 24

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.

Question 25

The speeds of 3 cars in the ratio 5:4:6. The ratio between the time taken by them to travel same distance is

Question 26

In the following question a statement is given followed by two arguments choose the correct option.

Statement : Should the political parties be banned

Argument I : Yes, It is necessary to teach a lesson to the politicians

Argument II : No, it will lead to an end of democracy

Question 27

In the given figure, if the centres of all the circles are joined by horizontal and vertical lines, then find the number of squares that can be formed.

Question 28

In analogy, you are required to guess the function relation between the two given words and find the similar relation between the words given in any of the option.

CUP : LIP :: BIRD : .............

Question 29

Direction : In the following question a statement is given followed by two conclusions. Choose the correct option.

Statement : Any student who follow un-ethical practices in examination disqualifies himself from examinations Conclusion :

I. Those who involve in un-ethical practices in examination shall be debarred

II. Examination system should be improved

Question 30

There are four Trees - Lemon, Coconut, Mango and Neem each at a different corner of a rectangular plot. A well is located at one corner and a cabin at another corner. Lemon and Coconut trees are on either side of the gate, which is located at the centre of side, opposite to the side, extremes of which the well and cabin are located. The mango tree is not at the corner where the cabin is located.

Which of the following pairs can be diagonally opposite to each other in the plot ?

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