Instructions

Refer to the following data and answer the questions that follow:
A numerical machine accepts two values X and Y. Then it updates these values as X = XY and Y = Y + 1 in every step. The machine stops at X $$\geq$$ N.

Question 51

For X = 3, Y = 2 and N = 100, how many steps are performed before the machine stops?

Video Solution

Solution

X = 3, Y = 2 and N = 100

Step 1. X=6 Y=3

Step 2. X=18 Y=4

Step 3. X=72 Y=5

Step 4. X=360 Y=6

Hence Option C is correct.

Question 52

In the above question (51), what is the final value of X?

Video Solution

Solution

X = 3, Y = 2 and N = 100

Step 1. X=6 Y=3

Step 2. X=18 Y=4

Step 3. X=72 Y=5

Step 4. X=360 Y=6

Option D

Question 53

In the above question (51), what is the final value of Y?

Video Solution

Solution

X = 3, Y = 2 and N = 100

Step 1. X=6 Y=3

Step 2. X=18 Y=4

Step 3. X=72 Y=5

Step 4. X=360 Y=6

Hence Option C is correct.

Question 54

If the value of N is changed to 500, what would be the final value of X?

Video Solution

Solution

X = 3, Y = 2 and N = 100

Step 1. X=6 Y=3

Step 2. X=18 Y=4

Step 3. X=72 Y=5

Step 4. X=360 Y=6

Step 5. X=2160 Y=7

Hence Option D is correct.

Question 55

If X = 2 and Y = 3, what should be the minimum value of N such that final value of Y is 7?

Video Solution

Solution

1. X=2, Y=3

X = XY and Y = Y + 1

2. X=6, Y=4

3.X=24, Y=5

4. X=120, Y=6

5. X= 720, Y=7

Hence X can take any value above 120

Hence among the given values Option A is the correct choice.

Instructions

Refer to the following statements and answer the questions:
Seven students Priya, Ankit, Raman, Sunil, Tony, Deepak and Vicky take a series of tests. No two students get similar marks. Vicky always scores more than Priya. Priya always scores more than Ankit. Each time either Raman scores the highest and Tony gets the least, or alternatively Sunil scores the highest and Deepak or Ankit scores the least.

Question 56

If Sunil is ranked sixth and Ankit is ranked fifth, which of the following can be true?

Video Solution

Solution

The following arrangement is possible:

1.Raman

2.

3.

4.

5.Ankit

6.Sunil

7.Toni

Deepak can rank any among 2nd, 3rd, 4th respectively.

Hence Option D is correct.

Question 57

If Raman gets the highest, Vicky should be ranked not lower than:

Video Solution

Solution

Lowest position for Vicky which satisfy the above conditions is:

1.Raman

2.

3.

4.Vicky

5.Priya

6.Ankit

7. Toni

Vicky cannot get the position lower than this.

Option C

Question 58

If Raman is ranked second and Ankit is ranked first, which of the following must be true?

Video Solution

Solution

Priya always scores more than Ankit......Hence there is a logical error.

Option D

Question 59

If Sunil is ranked second, which of the following can be true?

Video Solution

Solution

It is given in the question: Vicky always scores more than Priya. Priya always scores more than Ankit.

If Sunil ranked second, then Raman scored the highest and Tony scored the least.

Raman -1

Sunil -2

...

.

Tony -7

Hence only statement A is possible, all the other options are incorrect.

Question 60

If Vicky is ranked fifth, which of the following must be true?

Video Solution

Solution

Vicky ranked fifth then Priya and Ankit should be sixth and seventh respectively.

Sunil scores the highest and Deepak or Ankit scores the least.

Thus Sunil will score the highest.

Option A

CAT Content

SNAP 2011 Question Paper

For X = 3, Y = 2 and N = 100, how many steps are performed before the machine stops?

In the above question (51), what is the final value of X?

In the above question (51), what is the final value of Y?

If the value of N is changed to 500, what would be the final value of X?

If X = 2 and Y = 3, what should be the minimum value of N such that final value of Y is 7?

If Sunil is ranked sixth and Ankit is ranked fifth, which of the following can be true?

If Raman gets the highest, Vicky should be ranked not lower than:

If Raman is ranked second and Ankit is ranked first, which of the following must be true?

If Sunil is ranked second, which of the following can be true?

If Vicky is ranked fifth, which of the following must be true?

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