Question

Which of the following could be the set of programs to be operated on the first day of a month?

• A. T, U, R, V, S
• B. U, Q, S, T, W
• C. V, Q, R, T, S
• D. Q, S, R, V, U
• A. R cannot be operated at fourth place.
• B. Q cannot be operated at third place.
• C. P cannot be operated at third place.
• D. T cannot be operated at third place.
• A. T
• B. S
• C. Q
• D. U
• A. 12
• B. 8
• C. 4
• D. 16
• A. 14B
• B. 12C
• C. 10C
• D. 16C

Answer 1

The Correct Option is A

From the question we know that,
(i) If program P is to be operated on a day, V cannot be operated on that day.
(ii) If Q is to be operated on a day, T must be one of the programs to be operated after Q.
(iii) If R is to be operated on a day, V must be one of the programs to be operated after R.
(iv) the last program to be operated on any day must be either S or U.
For Option A:
If R is to be run, so V must be after R
The last program must be S or U is True
For Option B:
If Q is to be run, so T must be after Q
The last program must be S or U which is not True
For Option C:
If Q is to be run, so T must be after Q
If R is to be run, so V must be after R but in the option V comes before R so this condition is not satisfied
The last program must be S or U which is True
For Option D:
Since T must be operated after Q, if Q is present in the set, T cannot be in the third position because it must come later. Therefore, T cannot be in the third position in such a scenario.
The last program must be S or U which is True
So, Option A satisfies all the condition.

The correct option is (A): T, U, R, V, S

Answer 2

From the question we know that,
(i) If program P is to be operated on a day, V cannot be operated on that day.
(ii) If Q is to be operated on a day, T must be one of the programs to be operated after Q.
(iii) If R is to be operated on a day, V must be one of the programs to be operated after R.
(iv) the last program to be operated on any day must be either S or U.
For R cannot be operated at fourth place.
There is no condition that prevents R from being in the fourth place, as long as V comes after R when R is operated.
Q cannot be operated at third place.
There's no condition preventing Q from being in the third place. The only condition for Q is that T must be operated after Q, but this does not prevent Q from being in the third position.
P cannot be operated at third place.
Only condition (i) states that P and V cannot be operated together, but there's no rule about P being in the third position.
T cannot be operated at third place.
Since T must be operated after Q as given in Condition ii, if Q is present in the set, T cannot be in the third position because it must come later.

The correct option is (D): T cannot be operated at third place.

Answer 3

From the question we know that,
(i) If program P is to be operated on a day, V cannot be operated on that day.
(ii) If Q is to be operated on a day, T must be one of the programs to be operated after Q.
(iii) If R is to be operated on a day, V must be one of the programs to be operated after R.
(iv) the last program to be operated on any day must be either S or U.
We are given that R is in the third position
For T, There's no restriction that prevents T from being in the second position before R
For S, It can be in the second position. There's no restriction against this
For Q, If Q is operated, T must be operated after Q as given in the condition, R is in the third place, there is no room for T to come after Q
For U, There’s no restriction that prevents U from being in the second position
So, Q is the one.

The correct option is (C): Q

Answer 4

For Column 1:
6 × 5 × 4 = 120
For Column 2:
6 × 7 × 3 = 126
For Column 3:
8 × 5 × ? = 320
= 40 × ? = 320
= ? = \(\frac{320}{40}\)
? = 8
The correct option is (B): 8

Answer 5

As, we can see in the question that each column has A, B,C
7B 5C 6B
3C  9B 19A
15A 17A ?
So, the value for ? must be with C
Now,
If we look at the diagonals, the sum of two numbers is equal to the third number
6B + 9B = 15A
Similarly,
7B + 9B = ?C (as we have seen the value will be C)
7B + 9B = 16C
The correct option is (D): 16C