VITEEE PCME Mock Test - 4 - JEE MCQ

f(t) = te^-t + 9 
f'(t) = e^-t + te^-t + 0
f'(t) = e^-t + te^-t 
f'(0) = e^-0 + (0)e^-0 
f'(t) = 1 

break limit  a to 0 here |x|= -x  so integration of -1
and   0 to b here |x|=x so integration of 1

= -2cos √x

The average for all the high involved with the Chandigarh region was

(438 + 148 + 28 + 190.5 + 160)/5 which gives 192.9.

Total value for the low of the Punjab region for the given companies is 395 + 180 + 23 + 177.5 + 140.5 = 916

whereas the total for the low of the Haryana region is 413.75 + 180 + 24.5 + 177.5 + 102.5 = 898.25.

So it exceeds by 916 – 898.25 = 17.75.

The total of lows for the RCOM for all the given states/ UT are given to be 532 and the ZARA has the total for their lows to be 500.

Thus ATQ (532/500)*100 = 106.4%

High for the company "BIRLA" in Chandigarh was 160 and Total of high in Punjab and Haryana happen to be 319.25.

So, ATQ the percentage required will be (160/319.25) * 100 = 50% approx.

Fishes live in 'water' and as given, 'water' is called 'colour'. so fishes live in 'colour' .

Hence, option C is correct.

Clearly. a 'bag' is used to carry the books but a 'bag' is called 'dictionary'. So, a dictionary will be used to carry the books.
Hence, option A is correct.

Clearly, a 'nib' is fitted in the pen to write with it. But 'nib' is called 'needle'. So, a 'needle' will be fitted in the pen.

Hence, option C is correct.

Let the people who wear a blue, red and green shirt be denoted by b, r and g respectively. Restrictions on the seating arrangement:
1. Two b’s must not be together.
2. Three r’s must be together.
3. A ‘b’ and a ‘g’ must not be together.
4. A ‘g’ cannot sit on a chair numbered 2 or 9.

Case I: A person wearing a green shirt is sitting on chair numbered 1. It is only possible if another person wearing a green shirt sits on chair numbered 2, but this violates restriction number 4. Hence, this is also not possible.

Case II: A person wearing a blue shirt sits on chair numbered 1. The six seating arrangements that are possible are as follows.

Now, we see that the cases 4, 5 and 6 are just obtained by reversing the cases 1, 2 and 3 respectively. It can be concluded that in any possible seating arrangement, the chairs numbered 1 and 10 are always occupied by people wearing blue shirts. It is given that the number of people wearing a blue shirt is 3. Looking at the table given in the question, we observe that in each of the six arrangements two out of the three different people i.e. A, B and N always sit on chairs numbered 1 and 10.
Hence it can be concluded that the people who wear a blue shirt are A, B and N From the given table the person wearing a blue shirt can never sit on chairs numbered 2, 4, 7 and 9. So, (in arrangement I), A, B and N sitting on chairs numbered 1, 7 and 10 is inconsistent. Also, the people wearing red shirts sit on chairs numbered 2 and 9 and in all the possible arrangements five different people namely P, Q, M, Z and R are sitting on chairs numbered either 2 or 9. Therefore, P, Q, M, Z and R are wearing red shirts and K and L are wearing green shirts.

Option (1): A (Blue), P (Red), R (Red) and L (Green): Permissible
Option (2): N (Blue), Q (Red), K (Green) and Z (Red): Permissible
Option (3): K (Green), A (Blue), N (Blue) and Z (Red): Not Permissible
Option (4): B (Blue), L (Green), M (Red) and Q (Red): Permissible.

P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

If S sits between Q and R, then the arrangement is as follows.

As can be seen from the diagram, T is to the immediate right of P. Choice (a)

P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

We will take each choice and see whether it fits in the arrangement that we represented through a diagram in the analysis of the data (the same diagram is reproduced below).

We can see that the arrangement given in choice (a) is not possible and hence the answer choice is (a).